Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₆(3).2

Name:

S6(3).2

Group order:

9170703360 = 2¹⁰ ⋅ 3⁹ ⋅ 5 ⋅ 7 ⋅ 13

Number of classes:

76

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., constructions: Aut(S6(3))

Some maximal subgroups:

	Order	Index	Structure	Name
1	25194240	364	31+4.2U4(2).2	3^(1+4).2U4(2).2

Available Brauer tables:

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

Atlas representations:

6 available

Group constructions in GAP:

AtlasGroup( "S6(3).2" ), AutomorphismGroup( AtlasGroup( "S6(3)" ) ), PrimitiveGroup( 364, 2 ), PrimitiveGroup( 1120, 5 ), PrimitiveGroup( 3640, 3 )

Stored class fusions to this table:

2.S₆(3).2, 3¹⁺⁴.2U₄(2).2, L₂(27).6, S₆(3)

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