Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2^3.S3

Name:

2^3.S3

Group order:

48 = 2⁴ ⋅ 3

Number of classes:

10

InfoText value:

subgroup of 2^3:sl(3,2)

Main table:

2 × S₄

Group constructions in GAP:

AtlasStabilizer( "A6.2_1", "S6G1-p15aB0" ), AtlasStabilizer( "A6.2_1", "S6G1-p15bB0" ), AtlasStabilizer( "L3(3).2", "L33d2G1-p234B0" ), AtlasSubgroup( "A6.2_1", 5 ), AtlasSubgroup( "A6.2_1", 6 ), SmallGroup( 48, 48 ), TransitiveGroup( 6, 11 ), TransitiveGroup( 8, 24 ), TransitiveGroup( 12, 21 ), TransitiveGroup( 12, 22 ), TransitiveGroup( 12, 23 ), TransitiveGroup( 12, 24 ), TransitiveGroup( 16, 61 ), TransitiveGroup( 24, 46 ), TransitiveGroup( 24, 47 ), TransitiveGroup( 24, 48 )

Stored class fusions from this table:

A₇ × S₃

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