Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.U₄(2).2

Name:

2.U4(2).2

Group order:

103680 = 2⁸ ⋅ 3⁴ ⋅ 5

Number of classes:

38

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5]

Maximal subgroups:

	Order	Index	Structure	Name
1	51840	2	2.U4(2)	2.U4(2)
2	3840	27	2.(24:S5)	twd5a
3	2880	36	2.(S6 × 2)	2.(S6x2)
4	2592	40	2.(33:(S4 × 2))	2.(3^3:(S4x2))
5	2592	40	2 × 31+2+:2S4	2x3^(1+2)_+:2S4
6	2304	45	2.(2.(A4 × A4).2.2)	2.(2.(A4xA4).2.2)

Available Brauer tables:

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

Atlas representations:

2 available

Group constructions in GAP:

AtlasGroup( "2.U4(2).2" ), AtlasSubgroup( "2.S6(2)", 1 )

Stored class fusions from this table:

2.S₆(2), 3⁴.2U₄(2).2, U₄(2).2

Stored class fusions to this table:

2.(2.(A₄ × A₄).2.2), 2.(3³:(S₄ × 2)), 2.(S₆ × 2), 2.U₄(2), 2 × 3¹⁺²₊:2S₄, 3⁴.2U₄(2).2, 3¹⁺⁴.2U₄(2).2, esp₄₃t, 2.(2⁴:S₅)

File created automatically by GAP on 13-Mar-2024.