ATLAS: Symplectic group S4(5)

Order = 4680000.
Mult = 2.
Out = 2.

Standard generators

Standard generators of S4(5) are a and b where a is in class 2B, b is in class 3B, and ab is in class 13C. The last condition is equivalent to: ab has order 13 and ababb has order 12.
Standard generators of S4(5).2 are c and d where c is in class 2D, b is in class 3B, and ab is in class 26A. The last condition is equivalent to: cd has order 13 and cdcdd has order 10.

Representations

The representations of S4(5) available are The representations of 2.S4(5) available are The representations of S4(5):2 available are The representation of 2.S4(5):2 available is

Maximal subgroups

The maximal subgroups of S4(5) are as follows. Words in preparation - mostly wrong at the moment!
- Return to main ATLAS page. - Last updated 02.09.99

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