Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L₂(32).5

Name:

L2(32).5

Group order:

163680 = 2⁵ ⋅ 3 ⋅ 5 ⋅ 11 ⋅ 31

Number of classes:

21

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,11,31], constructions: Aut(L2(32)), PGammaL(2,32), SigmaL(2,32), PSigmaL(2,32)

Some maximal subgroups:

	Order	Index	Structure	Name
1	32736	5	L2(32)	L2(32)

Available Brauer tables:

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

Atlas representations:

10 available

Group constructions in GAP:

AtlasGroup( "L2(32).5" ), AtlasSubgroup( "J4", 8 ), AutomorphismGroup( AtlasGroup( "L2(32)" ) ), PGammaL( 2, 32 ), PSigmaL( 2, 32 ), PrimitiveGroup( 33, 2 ), PrimitiveGroup( 496, 7 ), PrimitiveGroup( 528, 2 ), SigmaL( 2, 32 )

Stored class fusions from this table:

J₄, S₁₀(2)

Stored class fusions to this table:

L₂(32)

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