Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 4.M22

Name:
4.M22
Group order:
1774080 = 29 ⋅ 32 ⋅ 5 ⋅ 7 ⋅ 11
Number of classes:
39
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11]
Maximal subgroups:
  Order Index Structure Name
1 80640 22 41.L3(4) 4_1.L3(4)
2 23040 77 2.25:A6 4.M22M2
3 10080 176 2.(2 × A7) 2.(2xA7)
4 10080 176 2.(2 × A7) 2.(2xA7)
5 7680 231 2.(25:S5) 4.M22M5
6 5376 330 2.(2 × 23:L3(2)) 4.M22M6
7 2880 616 (4 × A6).23 (4xA6).2_3
8 2640 672 2.(2 × L2(11)) 2.(2xL2(11))
Stored Sylow p normalizers:
p Order Index Structure Name
2 512 3465 4.M22N2 4.M22N2
3 288 6160 Isoclinic(4 × 32:Q8) Isoclinic(4x3^2:Q8)
5 80 22176 Isoclinic(2 × 5:8) Isoclinic(2x5:8)
7 84 21120 4 × 7:3 4x7:3
11 220 8064 4 × 11:5 4x11:5
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:
28 available
Group constructions in GAP:
AtlasGroup( "4.M22" ), PerfectGroup( 1774080, 1 )
Stored class fusions from this table:
2.M22, 4.M22.2, M22
Stored class fusions to this table:
2.(2 × A7), 2.(2 × L2(11)), 2.25:A6, 2.(25:S5), 2.(2 × 23:L3(2)), 4.M22N2, 41.L3(4), 4 × 7:3, 4 × 11:5, 12.M22, (4 × A6).23, Isoclinic(2 × 5:8), Isoclinic(2 × (2.A4 × 3).2), Isoclinic(4 × 32:Q8)

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