Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 3⁴:2³.S₄

Name:

3^4:2^3.S4(a)

Group order:

15552 = 2⁶ ⋅ 3⁵

Number of classes:

39

InfoText value:

14th maximal subgroup of O8+(2), origin: Dixon's Algorithm

Group constructions in GAP:

PrimitiveGroup( 81, 74 ), TransitiveGroup( 12, 281 ), TransitiveGroup( 24, 12156 ), TransitiveGroup( 24, 12157 ), TransitiveGroup( 24, 12158 ), TransitiveGroup( 24, 12163 )

Stored class fusions from this table:

O₈⁺(2)

Stored class fusions to this table:

(2² × 3⁴).2³.S₄, (2 × 3⁴:2³).S₄

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