Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 6.A6

Name:
6.A6
Group order:
2160 = 24 ⋅ 33 ⋅ 5
Number of classes:
31
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5]
Maximal subgroups:
  Order Index Structure Name
1 360 6 3 × 2.A5 3x2.A5
2 360 6 3 × 2.A5 6.A6M2
3 216 10 31+2+:8 6.A6M3
4 144 15 3 × 2.S4 3x2.Symm(4)
5 144 15 3 × 2.S4 6.A6M5
Stored Sylow p normalizers:
p Order Index Structure Name
2 48 45 6.A6N2 6.A6N2
3 216 10 31+2+:8 6.A6M3
5 60 36 3 × 2.D10 3x2.D10
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
Atlas representations:
8 available
Group constructions in GAP:
AtlasGroup( "6.A6" ), AtlasSubgroup( "6.A6.2_1", 1 ), AtlasSubgroup( "6.A7", 1 ), PerfectGroup( 2160, 1 )
Stored class fusions from this table:
2.A6, 3.A6, 6.A6.21, 6.A6.22, 6.A7, A6
Stored class fusions to this table:
3 × 2.A5, 3 × 2.D10, 3 × 2.S4, 3 × 2.A5, 31+2+:8, 3 × 2.S4, 6.A6N2

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