ATLAS: Exceptional group ^3D4(2)

Order = 211341312.
Mult = 1.
Out = 3.

Standard generators

Standard generators of ^3D4(2) are a and b where a is in class 2A, b has order 9, ab has order 13, and abb has order 8. The last condition may be replaced by: b is in class 9A, and ab is in class 13A.
Standard generators of ^3D4(2):3 are c and d where c has order 2, d is in class 3D, cd has order 21, cdcdd has order 7, and cdcdcdcddcdcddcddcdd has order 6. Note: c is in class 2B.
10/2/99: standard generators of ^3D4(2):3 corrected. There are no elements of the group satisfying the previous definition.

Representations

The representations of ^3D4(2) available are The representations of ^3D4(2):3 available are

Maximal subgroups

The maximal subgroups of ^3D4(2) are The maximal subgroups of ^3D4(2):3 are
- Return to main ATLAS page. - Last updated 24.03.99

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