Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for F₄(2).2

Name:

F4(2).2

Group order:

6622253206732800 = 2²⁵ ⋅ 3⁶ ⋅ 5² ⋅ 7² ⋅ 13 ⋅ 17

Number of classes:

91

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., constructions: Aut(F4(2))

Some maximal subgroups:

	Order	Index	Structure	Name
10	7056	938527948800	72:(3 × 2S4)	7^2:(3x2S4)

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
7	7056	938527948800	72:(3 × 2S4)	7^2:(3x2S4)

Available Brauer tables:

p
13	dec. matrix (PDF)
17	dec. matrix (PDF)

Atlas representations:

2 available

Group constructions in GAP:

AtlasGroup( "F4(2).2" ), AutomorphismGroup( AtlasGroup( "F4(2)" ) )

Stored class fusions to this table:

2.(2 × F₄(2)).2, 2.F₄(2).2, 7²:(3 × 2S₄), (2² × F₄(2)):2, F₄(2), Isoclinic(2.F₄(2).2)

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