Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 6.A7

Name:
6.A7
Group order:
15120 = 24 ⋅ 33 ⋅ 5 ⋅ 7
Number of classes:
40
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
Maximal subgroups:
  Order Index Structure Name
1 2160 7 6.A6 6.A6
2 1008 15 3 × 2.L3(2) 3x2.L3(2)
3 1008 15 3 × 2.L3(2) 3x2.L3(2)
4 720 21 3 × Isoclinic(2.A5.2) 3xIsoclinic(2.A5.2)
5 432 35 6.(A4 × 3).2 6.(A4x3).2
Stored Sylow p normalizers:
p Order Index Structure Name
2 48 315 6.A6N2 6.A6N2
3 216 70 31+2+:8 6.A6M3
5 120 126 3 × 5:8 3x5:8
7 126 120 6 × 7:3 6x7:3
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
12 available
Group constructions in GAP:
AtlasGroup( "6.A7" ), AtlasSubgroup( "6.Suz", 17 ), PerfectGroup( 15120, 1 )
Stored class fusions from this table:
2.A7, 3.A7, 6.A7.2, 6.Suz, A7
Stored class fusions to this table:
3 × 2.L3(2), 3 × 2.S4, 3 × 5:8, 3 × Isoclinic(2.A5.2), 6.(A4 × 3).2, 6.A6, 31+2+:8, 6.A6N2, 6 × 7:3

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