Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.²E₆(2)

Name:

3.2E6(2)

Group order:

229597439051324561817600 = 2³⁶ ⋅ 3¹⁰ ⋅ 5² ⋅ 7² ⋅ 11 ⋅ 13 ⋅ 17 ⋅ 19

Number of classes:

346

InfoText value:

computed by Frank L"ubeck in August 2005 using a combination of Deligne-Lusztig theory, the known table of 2E6(2), character theoretic methods, and some combinatorics

Some maximal subgroups:

	Order	Index	Structure	Name
3	9933379810099200	23113728	3 × F4(2)	3xF4(2)
4	9933379810099200	23113728	3 × F4(2)	3.2E6(2)M4
5	9933379810099200	23113728	3 × F4(2)	3.2E6(2)M5
7	193685254963200	1185415168	3.Fi22	3.Fi22
8	193685254963200	1185415168	3.Fi22	3.2E6(2)M8
9	193685254963200	1185415168	3.Fi22	3.2E6(2)M9

Atlas representations:

1 available

Group constructions in GAP:

AtlasGroup( "3.2E6(2)" )

Stored class fusions from this table:

²E₆(2), 3.²E₆(2).2

Stored class fusions to this table:

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

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