Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 6.²E₆(2)

Name:

6.2E6(2)

Group order:

459194878102649123635200 = 2³⁷ ⋅ 3¹⁰ ⋅ 5² ⋅ 7² ⋅ 11 ⋅ 13 ⋅ 17 ⋅ 19

Number of classes:

542

InfoText value:

constructed using `CharacterTableOfCommonCentralExtension'

Some maximal subgroups:

	Order	Index	Structure	Name
3	19866759620198400	23113728	6 × F4(2)	6xF4(2)
4	19866759620198400	23113728	3 × 2.F4(2)	3x2.F4(2)
5	19866759620198400	23113728	3 × 2.F4(2)	6.2E6(2)M5
7	387370509926400	1185415168	2 × 3.Fi22	2x3.Fi22
8	387370509926400	1185415168	6.Fi22	6.Fi22
9	387370509926400	1185415168	6.Fi22	6.2E6(2)M9

Stored class fusions from this table:

2.²E₆(2), ²E₆(2), 3.²E₆(2), 6.²E₆(2).2

Stored class fusions to this table:

2 × 3.Fi₂₂, 3 × 2.F₄(2), 3 × 2.F₄(2), 6.Fi₂₂, 6.Fi₂₂, 6 × F₄(2), (2² × 3).²E₆(2)

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