Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.M₂₂.2

Name:

3.M22.2

Group order:

2661120 = 2⁸ ⋅ 3³ ⋅ 5 ⋅ 7 ⋅ 11

Number of classes:

32

InfoText value:

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

Maximal subgroups:

	Order	Index	Structure	Name
1	1330560	2	3.M22	3.M22
2	120960	22	3.L3(4).22	3.L3(4).2_2
3	34560	77	24:3.S6	2^4:3.S6
4	11520	231	(24:S5 × 3).2	(2^4:S5x3).2
5	8064	330	23:L3(2) × S3	2^3:L3(2)xS3
6	4320	616	3.A6.22	3.A6.2^2
7	3960	672	(L2(11) × 3).2	(L2(11)x3).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:

6 available

Group constructions in GAP:

AtlasGroup( "3.M22.2" )

Stored class fusions from this table:

M₂₂.2

Stored class fusions to this table:

2³:L₃(2) × S₃, 2⁴:3.S₆, 3.A₆.2², 3.L₃(4).2₂, 3.M₂₂, 3¹⁺²:SD₁₆, 6.M₂₂.2, 6²:D₁₂, 7:3 × S₃, 12.M₂₂.2, (2⁴:S₅ × 3).2, (L₂(11) × 3).2, Isoclinic(6.M₂₂.2), Isoclinic(12.M₂₂.2), 2¹⁺¹²₊.3.M₂₂.2

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