Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3 × S4

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 13-Mar-2024.