Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for ³D₄(2)

Name:

3D4(2)

Group order:

211341312 = 2¹² ⋅ 3⁴ ⋅ 7² ⋅ 13

Number of classes:

35

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r.

Maximal subgroups:

	Order	Index	Structure	Name
1	258048	819	21+8+:L2(8)	2^(1+8)+:L2(8)
2	86016	2457	22.[29]:(7 × S3)	2^2.[2^9]:(7xS3)
3	12096	17472	U3(3).2	U3(3).2
4	3024	69888	S3 × L2(8)	S3xL2(8)
5	2352	89856	(7 × L2(7)):2	(7xL2(7)):2
6	1296	163072	3(1+2)+.2S4	3^(1+2)+.2S4
7	1176	179712	72:2A4	7^2:2A4
8	216	978432	32:2A4	3^2:2A4
9	52	4064256	13:4	13:4

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
7	1176	179712	72:2A4	7^2:2A4
13	52	4064256	13:4	13:4

Available Brauer tables:

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

Atlas representations:

18 available

Group constructions in GAP:

AtlasGroup( "3D4(2)" ), PrimitiveGroup( 819, 5 ), PrimitiveGroup( 2457, 1 )

Stored class fusions from this table:

³D₄(2).3, ³D₄(4)

Stored class fusions to this table:

2².[2⁹]:(7 × S₃), 2¹⁺⁸₊:L₂(8), 3²:2A₄, 3⁽¹⁺²⁾⁺.2S₄, 7²:2A₄, 13:4, (7 × L₂(7)):2, S₃ × L₂(8), U₃(3).2

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