Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 3.A6M5

Name:

3.A6M5

Group order:

72 = 2³ ⋅ 3²

Number of classes:

15

InfoText value:

5th maximal subgroup of 3.A6, differs from 3.A6M4 = 3xSymm(4) only by fusion map

Main table:

3 × S₄

Group constructions in GAP:

AtlasSubgroup( "3.A6", 4 ), AtlasSubgroup( "3.A6", 5 ), DirectProduct( "C3", "Symm(4)" ), SmallGroup( 72, 42 ), TransitiveGroup( 12, 45 ), TransitiveGroup( 18, 30 ), TransitiveGroup( 18, 33 ), TransitiveGroup( 24, 80 ), TransitiveGroup( 24, 84 )

Stored class fusions from this table:

3.A₆, S₄

Stored class fusions to this table:

3 × 2.S₄

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