Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.M₂₂.2

Name:

2.M22.2

Group order:

1774080 = 2⁹ ⋅ 3² ⋅ 5 ⋅ 7 ⋅ 11

Number of classes:

37

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	887040	2	2.M22	2.M22
2	80640	22	2.L3(4).22	2.L3(4).2_2
3	23040	77	25:S6	2^5:S6
4	7680	231	26:S5	2^6:S5
5	5376	330	2 × 23:L3(2) × 2	2x2^3:L3(2)x2
6	2880	616	(2 × A6).22	(2xA6).2^2
7	2640	672	2 × L2(11).2	2xL2(11).2

Available Brauer tables:

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

Atlas representations:

12 available

Group constructions in GAP:

AtlasGroup( "2.M22.2" ), AtlasSubgroup( "2.HS.2", 2 )

Stored class fusions from this table:

2.HS.2, M₂₂.2

Stored class fusions to this table:

2.L₃(4).2₂, 2.M₂₂, 2⁵:S₆, 2⁶:S₅, 2 × 2³:L₃(2) × 2, 2 × L₂(11).2, 4.M₂₂.2, 6.M₂₂.2, 12.M₂₂.2, (2 × A₆).2², Isoclinic(4.M₂₂.2), Isoclinic(12.M₂₂.2)

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