Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for O8−(3).21

Name:
O8-(3).2_1
Group order:
20303937239040 = 211 ⋅ 312 ⋅ 5 ⋅ 7 ⋅ 13 ⋅ 41
Number of classes:
188
InfoText value:
computed by T. Breuer in October 2002 using Dixon's algorithm and character theoretic methods origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,13,41], constructions: PGO(-1,8,3)
Some maximal subgroups:
  Order Index Structure Name
1 10151968619520 2 O8−(3) O8-(3)
3 18341406720 1107 O7(3).2 × 2 O7(3).2x2
4 18341406720 1107 O7(3).2 × 2 O8-(3).2_1M4
7 97044480 209223 D8 × L4(3).22 D8xL4(3).2_2
10 1062720 19105632 L2(81).41 L2(81).4_1
Available Brauer tables:
p  
2 dec. matrix (PDF)
Atlas representations:
2 available
Group constructions in GAP:
AtlasGroup( "O8-(3).2_1" ), PGO( -1, 8, 3 ), PrimitiveGroup( 1066, 2 ), PrimitiveGroup( 1107, 2 )
Stored class fusions from this table:
O8−(3).22
Stored class fusions to this table:
D8 × L4(3).22, L2(81).41, O7(3).2 × 2, O8−(3), O7(3).2 × 2

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