ATLAS: Linear group L2(181)

Order = 2964780 = 22.32.5.7.13.181.
Mult = 2.
Out = 2.

The following information is available for L2(181):


Standard generators

Standard generators of L2(181) are a of order 2, b of order 3 such that ab has order 181.
Standard generators of the double cover 2.L2(181) = SL2(181) are preimages A and B such that B has order 3 and AB has order 181.

Standard generators of L2(181):2 = PGL2(181) are not yet defined.
Standard generators of the double cover 2.L2(181):2 = 2.PGL2(181) are not yet defined.


Automorphisms

An outer automorphism of L2(181) of order 2 may be obtained by mapping (a, b) to (a, bababababab2ab2abab).

Black box algorithms


Representations

The representations of L2(181) available are: The representations of 2.L2(181) = SL2(181) available are: The representations of L2(181):2 = PGL2(181) available are: The representations of 2.L2(181):2 available are:

Maximal subgroups

The maximal subgroups of L2(181) are as follows.


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Version 2.0 created on 28th April 2004.
Last updated 30.04.04 by SN.