Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 22.O8+(2)

Name:
2^2.O8+(2)
Group order:
696729600 = 214 ⋅ 35 ⋅ 52 ⋅ 7
Number of classes:
143
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
Maximal subgroups:
  Order Index Structure Name
1 5806080 120 2 × 2.S6(2) 2x2.S6(2)
2 5806080 120 2 × 2.S6(2) 2^2.O8+(2)M2
3 5806080 120 2 × 2.S6(2) 2^2.O8+(2)M3
4 5160960 135 (2 × 21+6+).A8 (2x2^(1+6)_+).A8
5 5160960 135 (2 × 21+6+).A8 2^2.O8+(2)M5
6 5160960 135 (2 × 21+6+).A8 2^2.O8+(2)M6
7 725760 960 2 × 2.A9 2x2.A9
8 725760 960 2 × 2.A9 2^2.O8+(2)M8
9 725760 960 2 × 2.A9 2^2.O8+(2)M9
10 622080 1120 2 × (3 × 2.U4(2)):2 2x(3x2.U4(2)):2
11 622080 1120 2 × (3 × 2.U4(2)):2 2^2.O8+(2)M11
12 622080 1120 2 × (3 × 2.U4(2)):2 2^2.O8+(2)M12
13 442368 1575 22.(21+8+:(S3 × S3 × S3)) 2^2.(2^(1+8)_+:(S3xS3xS3))
14 62208 11200 (22 × 34).23.S4 (2^2x3^4).2^3.S4
15 57600 12096 (2 × 2.(A5 × A5)):22 (2x2.(A5xA5)):2^2
16 57600 12096 (2 × 2.(A5 × A5)):22 2^2.O8+(2)M16
17 57600 12096 (2 × 2.(A5 × A5)):22 2^2.O8+(2)M17
Group constructions in GAP:
CTblLib.IndividualGroupConstruction( "2^2.O8+(2)" )
Stored class fusions from this table:
2.O8+(2), 22.O8+(2).2, 22.O8+(2).3, O8+(2)
Stored class fusions to this table:
22.(21+8+:(S3 × S3 × S3)), 2 × 2.S6(2), 2 × 2.S6(2), (2 × 21+6+).A8, (2 × 21+6+).A8, 2 × 2.A9, 2 × 2.A9, 2 × (3 × 2.U4(2)):2, 2 × (3 × 2.U4(2)):2, (2 × 2.(A5 × A5)):22, (2 × 2.(A5 × A5)):22, 2 × 2.A9, 2 × 2.S6(2), 2 × (3 × 2.U4(2)):2, (22 × 34).23.S4, (2 × 2.(A5 × A5)):22, (2 × 21+6+).A8

File created automatically by GAP on 6-May-2025.