Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for U₃(4).4

Name:

U3(4).4

Group order:

249600 = 2⁸ ⋅ 3 ⋅ 5² ⋅ 13

Number of classes:

22

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,13], constructions: Aut(U3(4))

Some maximal subgroups:

	Order	Index	Structure	Name
1	124800	2	U3(4).2	U3(4).2
4	600	416	52:(4 × S3)	5^2:(4xS3)

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
5	600	416	52:(4 × S3)	5^2:(4xS3)

Available Brauer tables:

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

Atlas representations:

27 available

Group constructions in GAP:

AtlasGroup( "U3(4).4" ), AutomorphismGroup( AtlasGroup( "U3(4)" ) ), PrimitiveGroup( 65, 5 ), PrimitiveGroup( 208, 3 ), PrimitiveGroup( 416, 3 ), PrimitiveGroup( 1600, 19 )

Stored class fusions from this table:

G₂(4).2, M

Stored class fusions to this table:

5²:(4 × S₃), U₃(4), U₃(4).2

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