Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 2².²E₆(2)

Name:

2^2.2E6(2)

Group order:

306129918735099415756800 = 2³⁸ ⋅ 3⁹ ⋅ 5² ⋅ 7² ⋅ 11 ⋅ 13 ⋅ 17 ⋅ 19

Number of classes:

354

InfoText value:

origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13,17,19]

Some maximal subgroups:

	Order	Index	Structure	Name
3	13244506413465600	23113728	2 × 2.F4(2)	2x2.F4(2)
4	13244506413465600	23113728	2 × 2.F4(2)	2^2.2E6(2)M4
5	13244506413465600	23113728	2 × 2.F4(2)	2^2.2E6(2)M5
7	258247006617600	1185415168	2 × 2.Fi22	2x2.Fi22
8	258247006617600	1185415168	2 × 2.Fi22	2^2.2E6(2)M8
9	258247006617600	1185415168	2 × 2.Fi22	2^2.2E6(2)M9

Atlas representations:

1 available

Group constructions in GAP:

AtlasGroup( "2^2.2E6(2)" )

Stored class fusions from this table:

2.²E₆(2), ²E₆(2), 2².²E₆(2).2, 2².²E₆(2).3

Stored class fusions to this table:

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

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