ATLAS: Exceptional group 3D4(3)
Order = 20560831566912 = 26.312.72.132.73.
Mult = 1.
Out = 3.
The following information is available for 3D4(3):
Standard generators of 3D4(3) are a and b
where a is in class 3A, b is in class 13G/H (the ones with fixed points
in the natural 8-dimensional representation), ab has order 73
and ababb has order 13.
(These conditions distinguish between classes 13G and 13H.)
Standard generators of 3D4(2):3 are
not yet defined.
The representations of 3D4(3) available are:
-
Dimension 8 over GF(27) - the natural representation:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
-
Dimension 218 over GF(2):
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
-
Permutations on 26572 points:
a and
b (Meataxe),
a and
b (Meataxe binary),
a and
b (GAP).
The maximal subgroups of 3D4(3) are:
Go to main ATLAS (version 2.0) page.
Go to sporadic groups page.
Anonymous ftp access is also available.
See here for details.
Version 2.0 created on 10th October 2000.
Last updated 24.08.01 by RAW.
Information checked to
Level 0 on 10.10.00 by RAW.
R.A.Wilson, R.A.Parker and J.N.Bray.