Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.²E₆(2)

Name:

2.2E6(2)

Group order:

153064959367549707878400 = 2³⁷ ⋅ 3⁹ ⋅ 5² ⋅ 7² ⋅ 11 ⋅ 13 ⋅ 17 ⋅ 19

Number of classes:

202

InfoText value:

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

Some maximal subgroups:

	Order	Index	Structure	Name
3	6622253206732800	23113728	2 × F4(2)	2xF4(2)
4	6622253206732800	23113728	2.F4(2)	2.F4(2)
5	6622253206732800	23113728	2.F4(2)	2.2E6(2)M5
7	129123503308800	1185415168	2 × Fi22	2xFi22
8	129123503308800	1185415168	2.Fi22	2.Fi22
9	129123503308800	1185415168	2.Fi22	2.2E6(2)M9

Available Brauer tables:

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

Atlas representations:

1 available

Group constructions in GAP:

AtlasGroup( "2.2E6(2)" )

Stored class fusions from this table:

2.²E₆(2).2, ²E₆(2)

Stored class fusions to this table:

2.F₄(2), 2.Fi₂₂, 2.F₄(2), 2.Fi₂₂, 2².²E₆(2), 2 × F₄(2), 2 × Fi₂₂, 6.²E₆(2), (2² × 3).²E₆(2)

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