Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for U3(5)M7

Name:
U3(5)M7
Group order:
720 = 24 ⋅ 32 ⋅ 5
Number of classes:
8
InfoText value:
7th maximal subgroup of U3(5), differs from U3(5)M5 = A6.2_3 only by fusion map
Main table:
A6.23
Group constructions in GAP:
AtlasGroup( "A6.2_3" ), AtlasStabilizer( "A10", "A10G1-p2520B0" ), AtlasStabilizer( "M11", "M11G1-p11B0" ), AtlasStabilizer( "M22", "M22G1-p616B0" ), AtlasSubgroup( "M11", 1 ), AtlasSubgroup( "M22", 7 ), AtlasSubgroup( "Th", 14 ), MathieuGroup( 10 ), PrimitiveGroup( 10, 6 ), PrimitiveGroup( 36, 3 ), PrimitiveGroup( 45, 2 ), SmallGroup( 720, 765 ), TransitiveGroup( 10, 31 ), TransitiveGroup( 12, 181 ), TransitiveGroup( 20, 148 ), TransitiveGroup( 20, 150 ), TransitiveGroup( 30, 162 )
Stored class fusions from this table:
U3(5)
Stored class fusions to this table:
3.A6.23

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