Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.F₃₊.2

Name:

3.F3+.2

Group order:

7531234255143970327756800 = 2²² ⋅ 3¹⁷ ⋅ 5² ⋅ 7³ ⋅ 11 ⋅ 13 ⋅ 17 ⋅ 23 ⋅ 29

Number of classes:

257

InfoText value:

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

Some maximal subgroups:

	Order	Index	Structure	Name
3	1549482039705600	4860485028	(S3 × 2.Fi22).2	(S3x2.Fi22).2
16	917070336	8212275503308800	(31+2:22 × G2(3)):2	(3^(1+2):2^2xG2(3)):2

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
5	172800	43583531569120198656	3.F3+.2N5	3.F3+.2N5
7	74088	101652551764711833600	3.F3+.2N7	3.F3+.2N7

Available Brauer tables:

p
11	dec. matrix (PDF)
13	dec. matrix (PDF)
23	dec. matrix (PDF)

Group constructions in GAP:

AtlasGroup( "3.Fi24'.2" )

Stored class fusions from this table:

F₃₊.2, M

Stored class fusions to this table:

3.F₃₊, 3.F₃₊.2N7, (3¹⁺²:2² × G₂(3)):2, (S₃ × 2.Fi₂₂).2

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