Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for U₄(3).4

Name:

U4(3).4

Group order:

13063680 = 2⁹ ⋅ 3⁶ ⋅ 5 ⋅ 7

Number of classes:

53

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7], constructions: PGU(4,3)

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
5	dec. matrix (PDF)
7	dec. matrix (PDF)

Group constructions in GAP:

PrimitiveGroup( 112, 6 ), PrimitiveGroup( 280, 18 ), PrimitiveGroup( 540, 6 ), PrimitiveGroup( 2835, 6 )

Stored class fusions from this table:

U₄(3).D₈

Stored class fusions to this table:

2.U₄(3).4, 4.U₄(3).4, 4 × 7:3, U₄(3), U₄(3).2₁

File created automatically by GAP on 6-May-2025.