ATLAS: Alternating group A11

Order = 19958400 = 27.34.52.7.11.
Mult = 2.
Out = 2.

Standard generators

Standard generators of A11 are a and b where a is in class 3A, b has order 9 and ab has order 11.
In the natural representation we may take a = (1, 2, 3) and b = (3, 4, 5, 6, 7, 8, 9, 10, 11).
Standard generators of the double cover 2.A11 are preimages A and B where A has order 3 and B has order 9.

Standard generators of S11 = A11.2 are c and d where c is in class 2C, d is in class 10D and cd has order 11.
In the natural representation we may take c = (1, 2) and d = (2, 3, 4, 5, 6, 7, 8, 9, 10, 11).
Standard generators of either of the double covers 2.S11 are preimages C and D where CD has order 11.


Representations

The representations of A11 available are The representations of 2.A11 available are The representations of S11 = A11:2 available are The representations of 2.S11 (plus type) available are The representations of 2.S11 (minus type) available are

Maximal subgroups

The maximal subgroups of A11 are:
- Return to main ATLAS page. - Last updated 25.08.98

- R.A.Wilson@bham.ac.uk
- richard@ukonline.co.uk