Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2⁴:A₇

Name:

2^4:a7

Group order:

40320 = 2⁷ ⋅ 3² ⋅ 5 ⋅ 7

Number of classes:

15

InfoText value:

origin: CAS library, maximal subgroup of M23, maximal subgroup of McL, test: 1.OR, JAMES, JAMES,n=3, and restricted characters decompose properly tests: 1.o.r., pow[2,3,5,7]

Duplicates:

McLM10

Group constructions in GAP:

AtlasStabilizer( "M23", "M23G1-p253bB0" ), AtlasStabilizer( "McL", "McLG1-p22275cB0" ), AtlasStabilizer( "McL", "McLG1-p22275dB0" ), AtlasSubgroup( "M23", 3 ), AtlasSubgroup( "McL", 9 ), AtlasSubgroup( "McL", 10 ), PerfectGroup( 40320, 2 ), PrimitiveGroup( 16, 20 ), TransitiveGroup( 16, 1840 ), TransitiveGroup( 30, 1152 )

Stored class fusions from this table:

2⁴:A₈, A₇, M₂₃, M^cL

Stored class fusions to this table:

2⁴:A₆, 2¹⁺³:L₃(2), 2²⁺⁴:(3 × 3):2, 3.2⁴:A₇, A₇

File created automatically by GAP on 20-May-2025.