Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for ²E₆(2).2

Name:

2E6(2).2

Group order:

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

Number of classes:

189

InfoText value:

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

Some maximal subgroups:

	Order	Index	Structure	Name
1	76532479683774853939200	2	2E6(2)	2E6(2)
6	129123503308800	1185415168	Fi22.2	Fi22.2
7	50030759116800	3059417088	O10−(2).2	O10-(2).2
10	9170703360	16690645565440	O7(3).2	O7(3).2
12	40310784	3797121866137600	2E6(2).2N3C	2E6(2).2N3C
13	33094656	4625065731686400	U3(8).6	U3(8).6
14	13547520	11298374858833920	(L3(2) × L3(4).22).2	(L3(2)xL3(4).2_2).2

Available Brauer tables:

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

Atlas representations:

2 available

Group constructions in GAP:

AtlasGroup( "2E6(2).2" )

Stored class fusions from this table:

²E₆(2).3.2

Stored class fusions to this table:

2.²E₆(2).2, ²E₆(2), ²E₆(2).2N3C, 2².²E₆(2).2, 3.²E₆(2).2, (L₃(2) × L₃(4).2₂).2, Fi₂₂.2, O₇(3).2, O₁₀⁻(2).2, U₃(8).6

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