Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for M₈.S₄

Name:

M8.S4

Group order:

192 = 2⁶ ⋅ 3

Number of classes:

13

InfoText value:

9th maximal subgroup of M12, origin: CAS library, tests: 1.o.r., pow[2,3]

Group constructions in GAP:

AtlasSubgroup( "M12", 9 ), SmallGroup( 192, 1494 ), TransitiveGroup( 8, 40 ), TransitiveGroup( 16, 444 ), TransitiveGroup( 16, 445 ), TransitiveGroup( 24, 332 ), TransitiveGroup( 24, 430 )

Stored class fusions from this table:

2³.(S₄ × 2), M₁₂

File created automatically by GAP on 6-May-2025.