Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for O8−(3)

Name:
O8-(3)
Group order:
10151968619520 = 210 ⋅ 312 ⋅ 5 ⋅ 7 ⋅ 13 ⋅ 41
Number of classes:
112
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,13,41]
Some maximal subgroups:
  Order Index Structure Name
1 9523422720 1066 36:2U4(3).21 3^6:2U4(3).2_1
2 9170703360 1107 O7(3).2 O7(3).2
3 9170703360 1107 O7(3).2 O8-(3)M3
7 1244160 8159697 S4 × U4(2).2 S4xU4(2).2
8 1244160 8159697 S4 × U4(2).2 O8-(3)M8
9 531360 19105632 L2(81).21 L2(81).2_1
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
13 dec. matrix (PDF)
41 dec. matrix (PDF)
Atlas representations:
3 available
Group constructions in GAP:
AtlasGroup( "O8-(3)" ), POmega( -1, 8, 3 ), PrimitiveGroup( 1066, 1 ), PrimitiveGroup( 1107, 1 )
Stored class fusions from this table:
O8−(3).21, O8−(3).22, O8−(3).23
Stored class fusions to this table:
2.O8−(3), 36:2U4(3).21, L2(81).21, O7(3).2, O7(3).2, S4 × U4(2).2, S4 × U4(2).2

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