Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2.F₄(2)

Name:

2.F4(2)

Group order:

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

Number of classes:

170

InfoText value:

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

Duplicates:

2.2E6(2)M5

Some maximal subgroups:

	Order	Index	Structure	Name
1	95126814720	69615	2.F4(2)M1	2.F4(2)M1
2	95126814720	69615	2.F4(2)M1	2.F4(2)M2
5	2113929216	3132675	2.F4(2)M5	2.F4(2)M5
6	2113929216	3132675	2.F4(2)M5	2.F4(2)M6

Available Brauer tables:

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

Atlas representations:

6 available

Group constructions in GAP:

AtlasGroup( "2.F4(2)" )

Stored class fusions from this table:

2.²E₆(2), 2.F₄(2).2, F₄(2), F₄(2)

Stored class fusions to this table:

2.F₄(2)M1, 2.F₄(2)M1, 2.F₄(2)M5, 2.F₄(2)M5, 2 × 2.F₄(2), 2 × S₃ × S₆(2), 6 × 2.F₄(2)

File created automatically by GAP on 20-May-2025.