ATLAS: Linear group L3(3)

Order = 5616 = 24.33.13.
Mult = 1.
Out = 2.

Standard generators

Standard generators of L3(3) are a and b where a has order 2, b is in class 3B and ab is in class 13A/B. The last condition is equivalent to: ab has order 13 and ababb has order 4.

Standard generators of L3(3):2 are c and d where c is in class 2B, d is in class 4B and cd is in class 13AB. The last condition is equivalent to: cd has order 13 and cdcdcdd has order 12.


Representations

The representations of L3(3) available are The representations of L3(3):2 available are

Maximal subgroups

The maximal subgroups of L3(3) are as follows. The maximal subgroups of L3(3):2 are as follows.
- Return to main ATLAS page. - Last updated 09.07.98

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