Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2³.S₄v₁

Name:

2^3.S4v1

Group order:

192 = 2⁶ ⋅ 3

Number of classes:

14

InfoText value:

subgroup of 2^3:sl(3,2)

Group constructions in GAP:

SmallGroup( 192, 955 ), TransitiveGroup( 8, 41 ), TransitiveGroup( 12, 108 ), TransitiveGroup( 12, 109 ), TransitiveGroup( 12, 110 ), TransitiveGroup( 12, 111 ), TransitiveGroup( 16, 435 ), TransitiveGroup( 16, 436 ), TransitiveGroup( 24, 516 ), TransitiveGroup( 24, 517 ), TransitiveGroup( 24, 518 ), TransitiveGroup( 24, 519 ), TransitiveGroup( 24, 520 ), TransitiveGroup( 24, 521 ), TransitiveGroup( 24, 522 ), TransitiveGroup( 24, 523 ), TransitiveGroup( 24, 524 ), TransitiveGroup( 24, 525 ), TransitiveGroup( 24, 526 ), TransitiveGroup( 24, 527 ), TransitiveGroup( 24, 528 ), TransitiveGroup( 24, 529 )

Stored class fusions from this table:

A₈, M₂₂, M₂₃

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