Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 3⁴:S₅

Name:

3^4:S5

Group order:

9720 = 2³ ⋅ 3⁵ ⋅ 5

Number of classes:

36

InfoText value:

origin: Dixon's Algorithm, 4th maximal subgroup of U5(2)

Group constructions in GAP:

AtlasStabilizer( "U5(2)", "U52G1-p1408B0" ), AtlasSubgroup( "U5(2)", 4 ), PrimitiveGroup( 81, 142 ), TransitiveGroup( 15, 63 ), TransitiveGroup( 30, 714 ), TransitiveGroup( 30, 721 ), TransitiveGroup( 30, 727 ), TransitiveGroup( 30, 732 )

Stored class fusions from this table:

S₅, U₅(2)

Stored class fusions to this table:

S₅

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