Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.O₈⁺(2)

Name:

2.O8+(2)

Group order:

348364800 = 2¹³ ⋅ 3⁵ ⋅ 5² ⋅ 7

Number of classes:

83

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	2903040	120	2 × S6(2)	2xS6(2)
2	2903040	120	2.S6(2)	2.S6(2)
3	2903040	120	2.S6(2)	2.O8+(2)M3
4	2580480	135	27.A8	P31/G1/L1/V1/ext2
5	2580480	135	21+6+.A8	2^(1+6)_+.A8
6	2580480	135	21+6+.A8	2.O8+(2)M6
7	362880	960	2 × A9	2xA9
8	362880	960	2.A9	2.A9
9	362880	960	2.A9	2.O8+(2)M9
10	311040	1120	2 × (3 × U4(2)):2	2x(3xU4(2)):2
11	311040	1120	(3 × 2.U4(2)):2	(3x2.U4(2)):2
12	311040	1120	(3 × 2.U4(2)):2	2.O8+(2)M12
13	221184	1575	2.21+8+:(S3 × S3 × S3)	2.2^(1+8)_+:(S3xS3xS3)
14	31104	11200	(2 × 34:23).S4	(2x3^4:2^3).S4
15	28800	12096	(A5 × A5).(2 × 4)	(A5xA5).(2x4)
16	28800	12096	2.(A5 × A5).22	2.(A5xA5).2^2
17	28800	12096	2.(A5 × A5).22	2.O8+(2)M17

Available Brauer tables:

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

Group constructions in GAP:

CTblLib.IndividualGroupConstruction( "2.O8+(2)" )

Stored class fusions from this table:

2.O₈⁺(2).2, O₈⁺(2)

Stored class fusions to this table:

2.2¹⁺⁸₊:(S₃ × S₃ × S₃), 2.(A₅ × A₅).2², 2.A₉, 2.S₆(2), 2¹⁺⁶₊.A₈, 2.A₉, (3 × 2.U₄(2)):2, 2.(A₅ × A₅).2², 2.S₆(2), 2².O₈⁺(2), 2¹⁺⁶₊.A₈, 2 × (3 × U₄(2)):2, 2 × A₉, 2 × S₆(2), (2 × 3⁴:2³).S₄, (3 × 2.U₄(2)):2, (A₅ × A₅).(2 × 4), 2⁷.A₈

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