Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.O₇(3)

Name:

2.O7(3)

Group order:

9170703360 = 2¹⁰ ⋅ 3⁹ ⋅ 5 ⋅ 7 ⋅ 13

Number of classes:

88

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	26127360	351	4.U4(3).22	4.U4(3).2_2
2	25194240	364	(2 × 35).U4(2).2	(2x3^5).U4(2).2
3	24261120	378	2.L4(3).22	2.L4(3).2_2
4	8491392	1080	2 × G2(3)	2xG2(3)
5	8491392	1080	2 × G2(3)	2.O7(3)M5
6	8188128	1120	2 × 33+3:L3(3)	2x3^(3+3):L3(3)
7	2903040	3159	2.S6(2)	2.S6(2)
8	2903040	3159	2.S6(2)	2.O7(3)M8
9	2519424	3640	2.31+6+.(2A4 × A4).2	2.O7(3)M9
10	725760	12636	Isoclinic(2.A9.2)	Isoclinic(2.A9.2)
11	725760	12636	Isoclinic(2.A9.2)	2.O7(3)M11
12	414720	22113	2.(22 × U4(2)).2	2.(2^2xU4(2)).2
13	322560	28431	21+6+:A7	2^(1+6)_+:A7
14	34560	265356	2.(S6 × S4)	2.(S6xS4)
15	27648	331695	2.(A4 × 2(A4 × A4).2).2	2.(A4x2(A4xA4).2).2

Available Brauer tables:

p
2	dec. matrix (PDF)
3	dec. matrix (PDF)
5	dec. matrix (PDF)
7	dec. matrix (PDF)
13	dec. matrix (PDF)

Atlas representations:

2 available

Group constructions in GAP:

AtlasGroup( "2.O7(3)" )

Stored class fusions from this table:

2.O₇(3).2, O₇(3)

Stored class fusions to this table:

2.(2² × U₄(2)).2, 2.(A₄ × 2(A₄ × A₄).2).2, 2.(S₆ × S₄), 2.L₄(3).2₂, 2 × G₂(3), 2.S₆(2), 2.3¹⁺⁶₊.(2A₄ × A₄).2, Isoclinic(2.A₉.2), 2.S₆(2), 2¹⁺⁶₊:A₇, 2 × 3³⁺³:L₃(3), 2 × G₂(3), 4.U₄(3).2₂, 6.O₇(3), (2 × 3⁵).U₄(2).2, Isoclinic(2.A₉.2)

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