ATLAS: Unitary group U_{6}(2),
Fischer group Fi_{21}
Order = 9196830720 = 2^{15}.3^{6}.5.7.11.
Mult = 2^{2} × 3.
Out = S_{3}.
The information on this page was prepared with help from Ibrahim Suleiman.
The following information is available for U_{6}(2) = Fi_{21}:
[Not linked to yet: this page is still being prepared.]
 U_{6}(2) and covers

Standard generators of U_{6}(2) are a and b where
a is in class 2A, b has order 7, ab has order 11 and
abb has order 18.
Standard generators of the double cover 2.U_{6}(2) are preimages
A and B where B has order 7, AB has order 11
and ABBB has order 11.
Standard generators of the triple cover 3.U_{6}(2) are preimages
A and B where A has order 2 and B has order 7.
Standard generators of the sixfold cover 6.U_{6}(2) are preimages
A and B where A has order 2, B has order 7,
AB has order 33 and ABBB has order 11.
Standard generators of 2^{2}.U_{6}(2) are preimages A
and B where B has order 7 and AB has order 11.
Standard generators of (2^{2} × 3).U_{6}(2) are
preimages A and B where A has order 2, B has
order 7 and AB has order 33.
 U_{6}(2):2 and covers

Standard generators of U_{6}(2):2 are c and d where
c is in class 2D, d is in class 6J and cd has order 11.
Standard generators of either double cover 2.U_{6}(2).2 are preimages
C and D where CD has order 11.
Standard generators of the triple cover 3.U_{6}(2):2 are preimages
C and D where CD has order 11.
Standard generators of either sixfold cover 6.U_{6}(2).2 are preimages
C and D where CD has order 11.
Standard generators of 2^{2}.U_{6}(2):2 are preimages
C and D where C has order 2, D has order 6
and CDCDCDCDCDDCDCDDCDDCDD has order 7.
 U_{6}(2):3 and covers

Standard generators of U_{6}(2):3 are e and f where
e is in class 3D, f has order 11, ef has order 21
and eff has order 18.
Standard generators of 3.U_{6}(2):3 are preimages E and
F where F has order 11.
Standard generators of 2^{2}.U_{6}(2):3 are preimages
E and F where F has order 11.
 U_{6}(2):S_{3} and covers

Standard generators of U_{6}(2):S_{3} are g and
h where g is in class 2D, h is in class 6J [6J'/6J''
from the point of view of U_{6}(2)] and gh has order 21.
Standard generators of 3.U_{6}(2):S_{3} are preimages
G and H. No extra conditions are required, as all such pairs
are automorphic.
Standard generators of 2^{2}.U_{6}(2):S_{3} are
preimages G and H where ...
An automorphism of U_{6}(2) of order 3 can be obtained by mapping
(a, b) to
((abb)^4a(abb)^4,
(abababbab)^1babababbab).
An automorphism of U_{6}(2) of order 2 can be obtained by mapping
(a, b) to
(a, b^1).
This automorphism normalises the double cover defined by the standard
generators, but interchanges the other two double covers.
< a, b  a^{2} = b^{7} =
(ab)^{11} = [a, b]^{2} =
[a, b^{2}]^{3} =
[a, b^{3}]^{3} =
(ab^{3})^{11} =
(abab^{2}ab^{3}ab^{3})^{7}
= 1 >.
The last two relations are just quotienting out central involutions from a
group of shape 2^{2}.U_{6}(2).
U_{6}(2) and covers
The representations of U_{6}(2) available are:
 Some primitive permutation representations.

Permutations on 672 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 693 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 891 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 1408a points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 1408b points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 1408c points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 2816a points  imprimitive:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 2816b points  imprimitive:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 2816c points  imprimitive:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 6237 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 6336a points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 6336b points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 6336c points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 12474 points  imprimitive:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 20736a points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 20736b points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 20736c points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Permutations on 59136 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
 Some faithful irreducibles in characteristic 2.

Dimension 20 over GF(2):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 34 over GF(2):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 70a over GF(4):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 70b over GF(4):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 140 over GF(2)  reducible over GF(4):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 154 over GF(2):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 400 over GF(2):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 896a over GF(4):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
 Some faithful irreducibles in characteristic 3.

Dimension 21 over GF(3):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 210 over GF(3):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 229 over GF(3):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 364 over GF(3):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
 Some faithful irreducibles in characteristic 5.

Dimension 22 over GF(5):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 231 over GF(5):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 252 over GF(5):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 440 over GF(5):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 616 over GF(5):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
 Some faithful irreducibles in characteristic 7.

Dimension 22 over GF(7):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 231 over GF(7):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 252 over GF(7):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 439 over GF(7):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 616 over GF(7):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
 Some faithful irreducibles in characteristic 11.

Dimension 22 over GF(11):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 231 over GF(11):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 251 over GF(11):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 440 over GF(11):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).

Dimension 616 over GF(11):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
 Some faithful irreducibles in characteristic 0
 Dimension 22 over Z:
a and b (GAP).
 Dimension 231 over Z:
a and b (GAP).
The representations of 2.U_{6}(2) available are:
 Some permutation representations.

Permutations on 1344 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 2816 points  character (1 + 252 + 1155a) + (176 + 1232):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 2816 points  character (1 + 252 + 1155a) + (616 + 792):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 5632 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 12672a points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 12672b points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 12672c points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 41472 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in characteristic 3.

Dimension 56 over GF(3):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 120 over GF(3):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 560 over GF(3):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in characteristic 5.

Dimension 56 over GF(5):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 176 over GF(5):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 616 over GF(5):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in characteristic 7.

Dimension 56 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 176 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 616 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in characteristic 11.

Dimension 56 over GF(11):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 176 over GF(11):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 616 over GF(11):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
The representations of 3.U_{6}(2) available are:
 Some permutation representations.

Permutations on 2016 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 2079 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 18711 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 19008a points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 19008b points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 19008c points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in the z3cohort in characteristic 2.

Dimension 6 over GF(4)  the natural representation:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 15 over GF(4):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 84 over GF(4):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 90 over GF(4):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 204 over GF(4):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 384 over GF(4):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 720 over GF(4):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 924 over GF(4):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in the z3cohort in characteristic 5.

Dimension 21 over GF(25):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 210 over GF(25):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 231 over GF(25):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 462 over GF(25):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in the z3cohort in characteristic 7.

Dimension 21 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 210 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 231 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 462 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
 Some faithful irreducibles in the z3cohort in characteristic 11.

Dimension 21 over GF(121):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 210 over GF(121):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 231 over GF(121):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 462 over GF(121):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
The representations of 6.U_{6}(2) available are:
 Some permutation representations.

Permutations on 4032 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 38016a points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 38016b points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 38016c points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 27 over GF(4)  uniserial 6.15.6:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 120 over GF(25):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 120 over GF(7):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 120 over GF(121):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
The representations of 2^{2}.U_{6}(2) available are:

Permutations on 2688 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
The representations of (2^{2} × 3).U_{6}(2) available are:

Permutations on 4704 points  intransitive (orbits 2688 + 2016):
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Permutations on 8064 points:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).

Dimension 27 over GF(4)  uniserial 6.15.6:
A and
B (Meataxe),
A and
B (Meataxe binary),
A and
B (GAP).
U_{6}(2):2 and covers
 The representations of U6(2):2 available are

Permutations on 672 points:
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Permutations on 693 points:
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Permutations on 891 points:
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Permutations on 1408 points:
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Permutations on 6237 points:
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Permutations on 6336 points:
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Permutations on 20736 points:
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 20 over GF(2):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 34 over GF(2):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 140 over GF(2):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 154 over GF(2):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 400 over GF(2):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 21 over GF(3):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 210 over GF(3):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 229 over GF(3):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 364 over GF(3):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 22 over GF(5):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 22 over GF(7):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).

Dimension 22 over GF(11):
c and
d (Meataxe),
c and
d (Meataxe binary),
c and
d (GAP).
 The representation of 2.U6(2):2 available is
 C and
D as
56 × 56 matrices over GF(3).
 The representation of 3.U6(2):2 available is
 C and
D as
12 × 12 matrices over GF(2).
 The representation of 6.U6(2):2 available is
 C and
D as
240 × 240 matrices over GF(7).
 The representations of 2^{2}.U6(2):2 available are
 C and
D as
112 × 112 matrices over GF(3).
 C and
D as
240 × 240 matrices over GF(3).
U_{6}(2):3 and covers
 The representation of U6(2):3 available is
 e and
f as
20 × 20 matrices over GF(2).
 The representation of 3.U6(2):3 available is
 E and
F as
6 × 6 matrices over GF(4).
 The representation of 2^{2}.U6(2):3 available is
 E and
F as
168 × 168 matrices over GF(3).
 The representation of (2^{2} × 3).U6(2):3 available is
 E and
F as
360 × 360 matrices over GF(7).
U_{6}(2):S_{3} and covers
 The representations of U6(2):S3 available are

Permutations on 693 points:
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Permutations on 891 points:
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 20 over GF(2):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 34 over GF(2):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 140 over GF(2):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 140 over GF(2):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 140 over GF(2):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 154 over GF(2):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 400 over GF(2):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 21 over GF(3):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 210 over GF(3):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 229 over GF(3):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 364 over GF(3):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 22 over GF(5):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 22 over GF(7):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).

Dimension 22 over GF(11):
g and
h (Meataxe),
g and
h (Meataxe binary),
g and
h (GAP).
 The representation of 3.U6(2).S3 available is
 G and
H as
12 × 12 matrices over GF(2).
 The representation of 2^{2}.U6(2):S3 available is
 G and
H as
168 × 168 matrices over GF(3).
 The representation of (2^{2} × 3).U6(2):S3 available is
 G and
H as
720 × 720 matrices over GF(7).
The maximal subgroups of U_{6}(2) are as follows [implementation of word programs not checked]:

U_{5}(2), with generators
a, b^2ab^2, and standard generators
a, ababab^3.

2^{1+8}:U_{4}(2), with
generators [a, b], bab^5ab^4.

2^{9}:L_{3}(4), with
generators [a, b], babab^4.

U_{4}(3):2_{2}, with generators
a, b^2ab^3, and standard generators
a, b^2ab^2ab^5.

U_{4}(3):2_{2}, with generators
a, babab^2ab^2ab^3.

U_{4}(3):2_{2}, with generators
a, bababab^3ab^3.

2^{4+8}:(S_{3} × A_{5})
[= N(2A_{5}B_{10})], with generators
(ab^2ab^3ab^3ab^3)^3, ab^3ab^3ab^2ab^3.

S_{6}(2), with generators
a, b^2abab^3, and standard generators
a, b^3ab^2ab^4.

S_{6}(2), with generators
a, bab^4ab^3ab.

S_{6}(2), with generators
a, bab^3ab^4ab.

M_{22}, with generators
[a, b], abababb, and standard generators
(abababb)^4, (ab)^6(abababb)^2(ab)^5.

M_{22}, with generators
[a, b], ababab^2ab^3ab^5.

M_{22}, with generators
[a, b], bab^2ab^2ab^3ab^2.

U_{4}(2) × S_{3}, with
generators [a, b], bababab^5ab^5.

3^{1+4}:(Q_{8} × Q_{8}):S_{3},
with generators abb,
((b^{1}x^{1}bx)^{3}b^{1})^{2}b^{1}xbxb^{1}xbx^{1}b^{1}x^{1}bx^{1}b^{1}, where
x is (abb)^{6}.

L_{3}(4):2_{1}, with
generators [a, b], ababab^5ab^3ab^2ab^4.
The maximal subgroups of U_{6}(2):2 are as follows [implementation of word programs not checked]:
The maximal subgroups of U_{6}(2):3 are as follows [implementation of word programs not checked]:
The maximal subgroups of U_{6}(2):S_{3} are as follows [implementation of word programs not checked]:
The top central element of order 3 in 3.U_{6}(2) is
(AB)^{11}. We can also use (AB)^{11} as the top
central element of order 3 in the covers 6.U_{6}(2) and
(2^{2} × 3).U_{6}(2). The element AB is in
U_{6}(2)class 11A.
Go to main ATLAS (version 2.0) page.
Go to classical groups page.
Go to old U6(2) page  ATLAS version 1.
Anonymous ftp access is also available.
See here for details.
Version 2.0 created on 21st September 2001.
Last updated 03.03.04 by SJN.
Information checked to
Level 0 on 21.09.01 by JNB.
R.A.Wilson, R.A.Parker and J.N.Bray.