Overview of the GAP Character Table Library (version 1.3.8)

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

Name:

2^(2+4):(S3xS3)

Group order:

2304 = 2⁸ ⋅ 3²

Number of classes:

22

InfoText value:

source: H. Pahlings, 5th maximal subgroup of L3(4).D12, 4th maximal subgroup of J2.2, 9th maximal subgroup of J3.2, 8th maximal subgroup of McL.2, table is sorted w.r. to normal series 2^2.2^4.3.2.3.2, tests: 1.o.r., pow[2,3]

Group constructions in GAP:

AtlasStabilizer( "J2.2", "J2d2G1-p525B0" ), AtlasSubgroup( "J2.2", 5 ), AtlasSubgroup( "J3.2", 8 ), AtlasSubgroup( "McL.2", 10 ), TransitiveGroup( 24, 5073 ), TransitiveGroup( 24, 5074 ), TransitiveGroup( 24, 5075 ), TransitiveGroup( 24, 5076 )

Stored class fusions from this table:

J₂.2, J₃.2, L₃(4).D₁₂, M^cL.2

Stored class fusions to this table:

2²⁺⁴:(3 × S₃), 2²⁺⁴:(3 × 3):2, 3.2²⁺⁴:(S₃ × S₃)

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