Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for U4(3)M3

Name:

U4(3)M3

Group order:

25920 = 2⁶ ⋅ 3⁴ ⋅ 5

Number of classes:

20

InfoText value:

3rd maximal subgroup of U4(3), differs from U4(2)=U4(3)M2 only by fusion map

Main table:

U₄(2)

Group constructions in GAP:

AtlasGroup( "U4(2)" ), POmega( -1, 6, 2 ), POmega( 5, 3 ), PSU( 4, 2 ), PSp( 4, 3 ), PerfectGroup( 25920, 1 ), PrimitiveGroup( 27, 12 ), PrimitiveGroup( 36, 8 ), PrimitiveGroup( 40, 1 ), PrimitiveGroup( 40, 3 ), PrimitiveGroup( 45, 4 ), TransitiveGroup( 27, 993 )

Stored class fusions from this table:

U₄(3)

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