Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for A₇

Name:

U3(5)M2

Group order:

2520 = 2³ ⋅ 3² ⋅ 5 ⋅ 7

Number of classes:

9

InfoText value:

2nd maximal subgroup of U3(5), differs from U3(5)M1 = A7 only by fusion map

Main table:

A₇

Group constructions in GAP:

AlternatingGroup( 7 ), AtlasGroup( "A7" ), AtlasStabilizer( "A8", "A8G1-p8B0" ), AtlasStabilizer( "M22", "M22G1-p176aB0" ), AtlasStabilizer( "M22", "M22G1-p176bB0" ), AtlasStabilizer( "U3(5)", "U35G1-p50B0" ), AtlasSubgroup( "A7.2", 1 ), AtlasSubgroup( "M22", 3 ), AtlasSubgroup( "M22", 4 ), AtlasSubgroup( "ON", 12 ), AtlasSubgroup( "ON", 13 ), AtlasSubgroup( "Suz", 17 ), PerfectGroup( 2520, 1 ), PrimitiveGroup( 7, 6 ), PrimitiveGroup( 15, 1 ), PrimitiveGroup( 21, 2 ), PrimitiveGroup( 35, 3 ), TransitiveGroup( 7, 6 ), TransitiveGroup( 15, 47 ), TransitiveGroup( 21, 33 )

Stored class fusions from this table:

U₃(5)

Stored class fusions to this table:

3.A₇

File created automatically by GAP on 13-Mar-2024.