Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2⁴:3²:4

Name:

2^4:3^2:4

Group order:

576 = 2⁶ ⋅ 3²

Number of classes:

13

InfoText value:

origin: Dixon's Algorithm, solvable subgroup of maximal order in M22

Group constructions in GAP:

PrimitiveGroup( 16, 8 ), SmallGroup( 576, 8652 ), TransitiveGroup( 8, 46 ), TransitiveGroup( 12, 160 ), TransitiveGroup( 12, 162 ), TransitiveGroup( 16, 1030 ), TransitiveGroup( 16, 1031 ), TransitiveGroup( 18, 182 ), TransitiveGroup( 18, 184 ), TransitiveGroup( 24, 1489 ), TransitiveGroup( 24, 1491 ), TransitiveGroup( 24, 1505 ), TransitiveGroup( 24, 1506 ), TransitiveGroup( 24, 1508 )

Stored class fusions from this table:

2⁴:A₆, M₂₂

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