Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 4.U₄(3)

Name:

4.U4(3)

Group order:

13063680 = 2⁹ ⋅ 3⁶ ⋅ 5 ⋅ 7

Number of classes:

71

InfoText value:

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

Some maximal subgroups:

	Order	Index	Structure	Name
1	116640	112	2.(2 × 34:A6)	2.(2x3^4:A6)
6	46656	280	4.31+4+.2S4	4.3^(1+4)_+.2S4

Available Brauer tables:

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

Group constructions in GAP:

SU( 4, 3 )

Stored class fusions from this table:

2.U₄(3), 4.U₄(3).2₁, 4.U₄(3).2₂, 4.U₄(3).2₃, 4.U₄(3).4, U₄(3)

Stored class fusions to this table:

2.(2 × 3⁴:A₆), 4.3¹⁺⁴₊.2S₄, 12₁.U₄(3), 12₂.U₄(3)

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