Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.A7.2

Name:
3.A7.2
Group order:
15120 = 24 ⋅ 33 ⋅ 5 ⋅ 7
Number of classes:
22
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
Stored Sylow p normalizers:
p Order Index Structure Name
3 216 70 31+2:D8 3^(1+2):D8
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
16 available
Group constructions in GAP:
AtlasGroup( "3.A7.2" ), AtlasSubgroup( "3.Suz.2", 16 ), AtlasSubgroup( "He", 7 )
Stored class fusions from this table:
3.Suz.2, 3.S7 × 2, S7, He
Stored class fusions to this table:
3.A7, 31+2:D8, 6.A7.2, 62:D12, (7:3 × 3):2, Isoclinic(6.A7.2)

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