ATLAS: Symplectic group S6(3)

Order = 4585351680.
Mult = 2.
Out = 2.

Standard generators

Standard generators of S6(3) are a and b where a is in class 2A, b has order 5, ab has order 13, and abb has order 14.
Standard generators of the double cover 2S6(3) are pre-images A and B where B has order 5 and AB has order 13.
Standard generators of S6(3).2 are not defined.


The representations of S6(3) available are The representations of S6(3):2 available are The representation of 2.S6(3) available is The representation of 2.S6(3):2 available is

Maximal subgroups

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