Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 6.L3(4).22

Name:
6.L3(4).2_2
Group order:
241920 = 28 ⋅ 33 ⋅ 5 ⋅ 7
Number of classes:
43
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
Some maximal subgroups:
  Order Index Structure Name
6 864 280 (2 × 31+2+:8):2 (2x3^(1+2)_+:8):2
Stored Sylow p normalizers:
p Order Index Structure Name
3 864 280 (2 × 31+2+:8):2 (2x3^(1+2)_+:8):2
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
Group constructions in GAP:
AtlasSubgroup( "6.M22.2", 2 )
Stored class fusions from this table:
2.L3(4).22, 3.L3(4).22, 6.L3(4).(22)1*23*, 6.L3(4).(22)1*23, 6.L3(4).(22)123*, 6.L3(4).(22)123, 6.M22.2, L3(4).22
Stored class fusions to this table:
6.L3(4), 121.L3(4).22, 122.L3(4).22, (22 × 3).L3(4).22, (2 × 31+2+:8):2, Isoclinic(121.L3(4).22)

File created automatically by GAP on 20-May-2025.