Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L₃(4).2²

Name:

U4(3).(2^2)_{133}M6

Group order:

80640 = 2⁸ ⋅ 3² ⋅ 5 ⋅ 7

Number of classes:

22

InfoText value:

6th maximal subgroup of U4(3).(2^2)_{133}, differs from U4(3).(2^2)_{133}M5 only by fusion map

Main table:

L₃(4).2²

Group constructions in GAP:

AtlasStabilizer( "HS.2", "HSd2G1-p1100aB0" ), AtlasStabilizer( "McL.2", "McLd2G1-p22275aB0" ), AtlasSubgroup( "HS.2", 3 ), AtlasSubgroup( "McL.2", 6 ), PrimitiveGroup( 56, 5 ), PrimitiveGroup( 105, 3 ), PrimitiveGroup( 120, 10 ), PrimitiveGroup( 280, 8 ), PrimitiveGroup( 336, 3 )

Stored class fusions from this table:

U₄(3).(2²)₁₃₃

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