Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for O8−(2).2

Name:
O8-(2).2
Group order:
394813440 = 213 ⋅ 34 ⋅ 5 ⋅ 7 ⋅ 17
Number of classes:
60
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., constructions: Aut(O8-(2))
Some maximal subgroups:
  Order Index Structure Name
1 197406720 2 O8−(2) O8-(2)
2 3317760 119 26:U4(2).2 2^6:U4(2).2
3 2903040 136 2 × S6(2) 2xS6(2)
6 241920 1632 S8 × S3 S8xS3
7 16320 24192 L2(16).4 L2(16).4
8 8640 45696 (S3 × S3):2 × S5 (S3xS3):2xS5
9 336 1175040 L3(2).2 L3(2).2
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
17 dec. matrix (PDF)
Atlas representations:
4 available
Group constructions in GAP:
AtlasGroup( "O8-(2).2" ), AtlasStabilizer( "S8(2)", "S82G1-p120B0" ), AutomorphismGroup( AtlasGroup( "O8-(2)" ) ), PrimitiveGroup( 119, 2 ), PrimitiveGroup( 136, 10 ), PrimitiveGroup( 765, 2 ), PrimitiveGroup( 1071, 2 ), PrimitiveGroup( 1632, 2 )
Stored class fusions from this table:
28:O8−(2):2, S8(2)
Stored class fusions to this table:
26:U4(2).2, 28:O8−(2):2, 2 × S6(2), (3 × O8−(2)):2, (S3 × S3):2 × S5, L2(16).4, L3(2).2, O8−(2), S8 × S3

File created automatically by GAP on 13-Mar-2024.