Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2²⁺⁴:(3 × S₃)

Name:

2^2+4.3xs3

Group order:

1152 = 2⁷ ⋅ 3²

Number of classes:

20

InfoText value:

origin: CAS library, 9th maximal subgroup of J3, test: 1. o.r., sym 2 decompose correctly tests: 1.o.r., pow[2,3]

Group constructions in GAP:

AtlasStabilizer( "J2", "J2G1-p525B0" ), AtlasStabilizer( "J3", "J3G1-p43605B0" ), AtlasSubgroup( "J2", 4 ), AtlasSubgroup( "J3", 9 ), SmallGroup( 1152, 155469 ), TransitiveGroup( 24, 2764 ), TransitiveGroup( 24, 2766 )

Stored class fusions from this table:

2²⁺⁴:(S₃ × S₃), J₂, J₃, L₃(4).6

Stored class fusions to this table:

2⁴:A₄b, 2³⁺⁴:(3 × S₃)

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