Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2⁴:(3 × A₅):2

Name:

2^4:(3xA5).2

Group order:

5760 = 2⁷ ⋅ 3² ⋅ 5

Number of classes:

17

InfoText value:

source: H. Pahlings, 6th maximal subgroup of M23, 4th maximal subgroup of J3.2, table is sorted w.r. to normal series 2^4.3.A5.2, tests: 1.o.r., pow[2,3,5]

Group constructions in GAP:

AtlasStabilizer( "M23", "M23G1-p1771B0" ), AtlasSubgroup( "J3.2", 3 ), AtlasSubgroup( "M23", 6 ), PrimitiveGroup( 16, 12 ), TransitiveGroup( 16, 1653 ), TransitiveGroup( 20, 358 ), TransitiveGroup( 30, 576 ), TransitiveGroup( 30, 580 )

Stored class fusions from this table:

(A₅ × 3):2, J₃.2, L₃(4).3.2₂, M₂₃

Stored class fusions to this table:

2⁴:(3 × A₅)

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