Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for HNM12

Name:

HNM12

Group order:

190080 = 2⁷ ⋅ 3³ ⋅ 5 ⋅ 11

Number of classes:

21

InfoText value:

12th maximal subgroup of HN, differs from HNM11 only by fusion map

Main table:

M₁₂.2

Group constructions in GAP:

AtlasGroup( "M12.2" ), AtlasStabilizer( "M24", "M24G1-p1288B0" ), AtlasSubgroup( "Fi22.2", 13 ), AtlasSubgroup( "HN", 11 ), AtlasSubgroup( "HN", 12 ), AtlasSubgroup( "M24", 4 ), AtlasSubgroup( "Suz", 10 ), AutomorphismGroup( AtlasGroup( "M12" ) ), PrimitiveGroup( 144, 4 ), PrimitiveGroup( 144, 5 ), PrimitiveGroup( 396, 2 ), PrimitiveGroup( 495, 4 ), PrimitiveGroup( 495, 6 ), PrimitiveGroup( 880, 1 ), PrimitiveGroup( 1320, 2 ), PrimitiveGroup( 1584, 1 ), TransitiveGroup( 24, 18441 )

Stored class fusions from this table:

HN

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