Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for ²E₆(2)

Name:

2E6(2)

Group order:

76532479683774853939200 = 2³⁶ ⋅ 3⁹ ⋅ 5² ⋅ 7² ⋅ 11 ⋅ 13 ⋅ 17 ⋅ 19

Number of classes:

126

InfoText value:

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

Some maximal subgroups:

	Order	Index	Structure	Name
3	3311126603366400	23113728	F4(2)	F4(2)
4	3311126603366400	23113728	F4(2)	2E6(2)M4
5	3311126603366400	23113728	F4(2)	2E6(2)M5
7	64561751654400	1185415168	Fi22	Fi22
8	64561751654400	1185415168	Fi22	2E6(2)M8
9	64561751654400	1185415168	Fi22	2E6(2)M9
10	25015379558400	3059417088	O10−(2)	O10-(2)
14	20155392	3797121866137600	2E6(2)N3C	2E6(2)N3C
15	16547328	4625065731686400	U3(8).31	U3(8).3_1
16	6773760	11298374858833920	(L3(2) × L3(4)).2	(L3(2)xL3(4)).2

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
7	3528	21692879728961126400	72:(3 × 2A4)	7^2:(3x2A4)

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)" )

Stored class fusions from this table:

²E₆(2).2, ²E₆(2).3

Stored class fusions to this table:

2.²E₆(2), F₄(2), F₄(2), Fi₂₂, Fi₂₂, ²E₆(2)N3C, 2².²E₆(2), 3.²E₆(2), 6.²E₆(2), 7²:(3 × 2A₄), (2² × 3).²E₆(2), (L₃(2) × L₃(4)).2, F₄(2), Fi₂₂, O₁₀⁻(2), U₃(8).3₁

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