Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for O8+(3).21

Name:
O8+(3).2_1
Group order:
9904359628800 = 213 ⋅ 312 ⋅ 52 ⋅ 7 ⋅ 13
Number of classes:
144
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., constructions: PSO(+1,8,3)
Duplicates:
O8+(3).2_1', O8+(3).2_1''
Some maximal subgroups:
  Order Index Structure Name
4 8843178240 1120 36:(L4(3) × 2) 3^6:(L4(3)x2)
Available Brauer tables:
p  
2 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
13 dec. matrix (PDF)
Group constructions in GAP:
PSO( 1, 8, 3 ), PrimitiveGroup( 1080, 6 ), PrimitiveGroup( 1120, 8 ), PrimitiveGroup( 1120, 10 )
Stored class fusions from this table:
O8+(3).4, O8+(3).(22)111, O8+(3).(22)122, O8+(3).A4, O8+(3).D8, O8+(3).S4
Stored class fusions to this table:
36:(L4(3) × 2), O8+(3)

File created automatically by GAP on 20-May-2025.