Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for (2² × 3).²E₆(2)

Name:

(2^2x3).2E6(2)

Group order:

918389756205298247270400 = 2³⁸ ⋅ 3¹⁰ ⋅ 5² ⋅ 7² ⋅ 11 ⋅ 13 ⋅ 17 ⋅ 19

Number of classes:

934

InfoText value:

constructed using `PossibleCharacterTablesOfTypeV4G'

Some maximal subgroups:

	Order	Index	Structure	Name
3	39733519240396800	23113728	6 × 2.F4(2)	6x2.F4(2)
4	39733519240396800	23113728	6 × 2.F4(2)	(2^2x3).2E6(2)M4
5	39733519240396800	23113728	6 × 2.F4(2)	(2^2x3).2E6(2)M5
7	774741019852800	1185415168	2 × 6.Fi22	2x6.Fi22
8	774741019852800	1185415168	2 × 6.Fi22	(2^2x3).2E6(2)M8
9	774741019852800	1185415168	2 × 6.Fi22	(2^2x3).2E6(2)M9

Stored class fusions from this table:

2.²E₆(2), ²E₆(2), 2².²E₆(2), 3.²E₆(2), 6.²E₆(2), (2² × 3).²E₆(2).2

Stored class fusions to this table:

2 × 6.Fi₂₂, 6 × 2.F₄(2), 6 × 2.F₄(2), 6 × 2.F₄(2), 2 × 6.Fi₂₂, 2 × 6.Fi₂₂

File created automatically by GAP on 6-May-2025.