Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for O8+(3)

Name:
O8+(3)
Group order:
4952179814400 = 212 ⋅ 312 ⋅ 52 ⋅ 7 ⋅ 13
Number of classes:
114
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,13]
Maximal subgroups:
  Order Index Structure Name
1 4585351680 1080 O7(3) O7(3)
2 4585351680 1080 O7(3) O8+(3)M2
3 4585351680 1080 O7(3) O8+(3)M3
4 4585351680 1080 O7(3) O8+(3)M4
5 4585351680 1080 O7(3) O8+(3)M5
6 4585351680 1080 O7(3) O8+(3)M6
7 4421589120 1120 36:L4(3) 3^6:L4(3)
8 4421589120 1120 36:L4(3) O8+(3)M8
9 4421589120 1120 36:L4(3) O8+(3)M9
10 174182400 28431 O8+(2) O8+(2)
11 174182400 28431 O8+(2) O8+(3)M11
12 174182400 28431 O8+(2) O8+(3)M12
13 174182400 28431 O8+(2) O8+(3)M13
14 136048896 36400 31+8+:2(A4 × A4 × A4).2 O8+(3)M14
15 26127360 189540 2.U4(3).(22)122 2.U4(3).(2^2)_{122}
16 26127360 189540 2.U4(3).(22)122 O8+(3)M16
17 26127360 189540 2.U4(3).(22)122 O8+(3)M17
18 622080 7960680 (A4 × U4(2)):2 (A4xU4(2)):2
19 622080 7960680 (A4 × U4(2)):2 O8+(3)M19
20 622080 7960680 (A4 × U4(2)):2 O8+(3)M20
21 622080 7960680 (A4 × U4(2)):2 O8+(3)M21
22 622080 7960680 (A4 × U4(2)):2 O8+(3)M22
23 622080 7960680 (A4 × U4(2)):2 O8+(3)M23
24 518400 9552816 (A6 × A6):22 (A6xA6):2^2
25 518400 9552816 (A6 × A6):22 O8+(3)M25
26 518400 9552816 (A6 × A6):22 O8+(3)M26
27 331776 14926275 2((A4 ≀ 22):2) O8+(3)M27
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
13 dec. matrix (PDF)
Atlas representations:
30 available
Group constructions in GAP:
AtlasGroup( "O8+(3)" ), POmega( 1, 8, 3 ), PrimitiveGroup( 1080, 5 ), PrimitiveGroup( 1120, 7 )
Stored class fusions from this table:
B, O8+(3).21, O8+(3).21', O8+(3).21'', O8+(3).22, O8+(3).22', O8+(3).3, O8+(3).4, O8+(3).(22)111
Stored class fusions to this table:
2.O8+(3), 2.U4(3).(22)122, 22.O8+(3), 36:L4(3), (A4 × U4(2)):2, (A6 × A6):22, O7(3), O8+(2), O7(3), O7(3), O7(3), O7(3), O7(3), 36:L4(3), 36:L4(3), O8+(2), O8+(2), O8+(2), 31+8+:2(A4 × A4 × A4).2, 2.U4(3).(22)122, 2.U4(3).(22)122, (A4 × U4(2)):2, (A4 × U4(2)):2, (A4 × U4(2)):2, (A4 × U4(2)):2, (A4 × U4(2)):2, (A6 × A6):22, (A6 × A6):22, 2((A4 ≀ 22):2)

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