Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 3.A₆.2₁

Name:

3.A6.2_1

Group order:

2160 = 2⁴ ⋅ 3³ ⋅ 5

Number of classes:

16

InfoText value:

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

Some maximal subgroups:

	Order	Index	Structure	Name
1	1080	2	3.A6	3.A6

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
3	216	10	31+2:D8	3^(1+2):D8

Available Brauer tables:

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

Atlas representations:

4 available

Group constructions in GAP:

AtlasGroup( "3.A6.2_1" ), TransitiveGroup( 18, 365 )

Stored class fusions from this table:

2⁶:3.S₆, 3.A₆.2², S₆, M₂₄

Stored class fusions to this table:

2⁶:3.S₆, 2⁴⁺⁶:3S₆, 3.A₆, 3¹⁺²:D₈, 6.A₆.2₁

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