Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.U₄(2)

Name:

2.U4(2)

Group order:

51840 = 2⁷ ⋅ 3⁴ ⋅ 5

Number of classes:

34

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	1920	27	2.(24:A5)	2.(2^4:A5)
2	1440	36	2.A6.21	2.A6.2_1
3	1296	40	2 × 3(1+2)+:2A4	2x3^(1+2)+:2A4
4	1296	40	(2 × 33).S4	(2x3^3).S4`
5	1152	45	2.(2.(A4 × A4).2)	2.(2.(A4xA4).2)

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
2	384	135	2.U4(2)N2	2.U4(2)N2
3	324	160	2 × 33:S3	2x3^3:S3
5	40	1296	5:8	5:8

Available Brauer tables:

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

Atlas representations:

14 available

Group constructions in GAP:

AtlasGroup( "2.U4(2)" ), PerfectGroup( 51840, 1 ), Sp( 4, 3 )

Stored class fusions from this table:

2.U₄(2).2, 3⁴.2U₄(2), U₄(2)

Stored class fusions to this table:

2.(2.(A₄ × A₄).2), 2.(2⁴:A₅), 2.A₆.2₁, 2.U₄(2)N2, 2 × 3³:S₃, 2 × 3⁽¹⁺²⁾⁺:2A₄, 3⁴.2U₄(2), 3¹⁺⁴₊.2U₄(2), 5:8, (2 × 3³).S₄

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