Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2⁴.S₆

Name:

2^4.s6

Group order:

11520 = 2⁸ ⋅ 3² ⋅ 5

Number of classes:

21

InfoText value:

origin: CAS library, 6th maximal subgroup of HS, tests: 1.o.r., pow[2,3,5]

Duplicates:

U4(3).2_1M10

Group constructions in GAP:

AtlasStabilizer( "HS", "HSG1-p3850B0" ), AtlasSubgroup( "HS", 6 ), TransitiveGroup( 30, 738 ), TransitiveGroup( 30, 740 ), TransitiveGroup( 30, 746 ), TransitiveGroup( 30, 756 )

Stored class fusions from this table:

2⁵.S₆, S₆, HS, U₄(3).2₁

Stored class fusions to this table:

2.2⁴.S₆, 2⁴.(S₄ × 2), 2⁴:A₆

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