ATLAS: Orthogonal group O10-(2)

Order = 25015379558400 = 220.36.52.7.11.17.
Mult = 1.
Out = 2.

The following information is available for O10-(2):


Standard generators

Standard generators of O10-(2) are a and b, where a is in class 2A, d is in class 5B, ab has order 33 and abababb has order 18. The last condition is equivalent to: ababbbb has order 3.

Standard generators of O10-(2):2 are c and d, where c is in class 2E, d has order 11 and cd has order 36.
N.B. The old generators for 010-(2):2 that were here before 20.11.97 are no longer available.


Representations

The representations of O10-(2) available are: The representations of O10-(2):2 available are:

Maximal subgroups

The maximal subgroups of O10-(2) are as follows. The maximal subgroups of O10-(2):2 are as follows.

Conjugacy classes

A set of generators for the maximal cyclic subgroups of O10-(2) can be obtained by running this program on the standard generators. All conjugacy classes can therefore be obtained as suitable powers of these elements. These classes are compatible with the Atlas of Brauer Characters.

A set of generators for the maximal cyclic subgroups of O10-(2):2 can be obtained by running this program on the standard generators. All conjugacy classes can therefore be obtained as suitable powers of these elements. These classes are compatible with the Atlas of Brauer Characters.


Checks applied

CheckDateBy whomRemarks
Links work (except representations)
Links to (meataxe) representations work and have right degree and field
All info from v1 is included
HTML page standard
Word program syntax
Word programs applied
All necessary standard generators are defined26.01.01RAW
All representations are in standard generators

Main ATLAS page Go to main ATLAS (version 2.0) page.
Classical groups page Go to classical groups page.
Old O10-(2) page Go to old O10-(2) page - ATLAS version 1.
ftp access Anonymous ftp access is also available. See here for details.

Version 2.0 created on 26th January 2001.
Last updated 29.11.01 by JNB.
Information checked to Level 0 on 26.01.01 by RAW.
R.A.Wilson, R.A.Parker and J.N.Bray.