ATLAS: Orthogonal group O10-(2)
Order = 25015379558400.
Mult = 1.
Out = 2.
Standard generators
Standard generators of O10-(2) are a and b, where a is in class 2A, d is in class 5B, ab has order 33 and abababb has order 18. The last condition is equivalent to ababbbb has order 3.
Standard generators of O10-(2):2 are c and d, where c is in class 2E, d has order 11 and cd has order 36.
N.B. The old generators for 010-(2):2 that were here before 20.11.97 are no longer available.
Representations
The representations of O10-(2) available are
The representations of O10-(2):2 available are
- c and
d as
10 x 10 matrices over GF(2) - the natural representation.
- c and
d as
32 x 32 matrices over GF(2).
- c and
d as
44 x 44 matrices over GF(2).
- c and
d as
100 x 100 matrices over GF(2).
- c and
d as
permutations on 495 points.
- c and
d as
permutations on 528 points.
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Last modified on 20.11.97
R.A.Wilson@bham.ac.uk
richard@ukonline.co.uk