Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.U₃(5)

Name:

3.U3(5)

Group order:

378000 = 2⁴ ⋅ 3³ ⋅ 5³ ⋅ 7

Number of classes:

40

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	7560	50	3.A7	3.A7
2	7560	50	3.A7	3.U3(5)M2
3	7560	50	3.A7	3.U3(5)M3
4	3000	126	3 × 51+2+:8	3x5^(1+2)_+:8
5	2160	175	3.A6.23	3.A6.2_3
6	2160	175	3.A6.23	3.U3(5)M6
7	2160	175	3.A6.23	3.U3(5)M7
8	720	525	3 × 2S5	3x2S5

Available Brauer tables:

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

Group constructions in GAP:

AtlasSubgroup( "3.McL", 4 ), PerfectGroup( 378000, 1 ), SU( 3, 5 )

Stored class fusions from this table:

3.M^cL, 3.U₃(5).2, 3.U₃(5).3, U₃(5)

Stored class fusions to this table:

3.A₆.2₃, 3.A₇, 3.A₇, 3.A₇, 3.A₆.2₃, 3.A₆.2₃, 3 × 2S₅, 3 × 5¹⁺²₊:8

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