Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for M12M7

Name:

M12M7

Group order:

432 = 2⁴ ⋅ 3³

Number of classes:

11

InfoText value:

7th maximal subgroup of M12, differs from M12M6 only by fusion map

Main table:

3².2.S₄

Group constructions in GAP:

AGL( 2, 3 ), AtlasStabilizer( "L3(3)", "L33G1-p13aB0" ), AtlasStabilizer( "L3(3)", "L33G1-p13bB0" ), AtlasStabilizer( "M12", "M12G1-p220aB0" ), AtlasStabilizer( "M12", "M12G1-p220bB0" ), AtlasSubgroup( "M12", 6 ), AtlasSubgroup( "M12", 7 ), PrimitiveGroup( 9, 7 ), SmallGroup( 432, 734 ), TransitiveGroup( 9, 26 ), TransitiveGroup( 12, 157 ), TransitiveGroup( 18, 157 ), TransitiveGroup( 24, 1325 ), TransitiveGroup( 24, 1326 ), TransitiveGroup( 24, 1327 ), TransitiveGroup( 24, 1334 ), TransitiveGroup( 27, 139 )

Stored class fusions from this table:

M₁₂

Stored class fusions to this table:

2 × 3².2.S₄

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