Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for O8+(3).S4

Name:
O8+(3).S4
Group order:
118852315545600 = 215 ⋅ 313 ⋅ 52 ⋅ 7 ⋅ 13
Number of classes:
171
InfoText value:
origin: constructed by T. Breuer using the tables of O8+(3), O8+(3).A4, O8+(3).2_2, O8+(3).4, B tests: 1.o.r., pow[2,3,5,7,13,], constructions: Aut(O8+(3))
Atlas representations:
2 available
Group constructions in GAP:
AtlasGroup( "O8+(3).S4" ), AutomorphismGroup( AtlasGroup( "O8+(3)" ) )
Stored class fusions from this table:
B
Stored class fusions to this table:
22.(U3(3).2 × S4), 33+6:(L3(3) × D8), (2 × O8+(3)).S4, (32:2 × O8+(3)).S4, O8+(3).21, O8+(3).22, O8+(3).3, O8+(3).4, O8+(3).A4, O8+(3).D8

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