Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.A7

Name:
2.A7
Group order:
5040 = 24 ⋅ 32 ⋅ 5 ⋅ 7
Number of classes:
16
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
Maximal subgroups:
  Order Index Structure Name
1 720 7 2.A6 2.A6
2 336 15 2.L3(2) 2.L3(2)
3 336 15 2.L3(2) 2.L3(2)
4 240 21 Isoclinic(2.A5.2) Isoclinic(2.A5.2)
5 144 35 (2.A4 × 3).2 (2.A4x3).2
Stored Sylow p normalizers:
p Order Index Structure Name
2 16 315 2.D8 2.D8
3 72 70 32:8 3^2:8
5 40 126 5:8 5:8
7 42 120 2 × 7:3 2x7:3
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
24 available
Group constructions in GAP:
AtlasGroup( "2.A7" ), AtlasSubgroup( "2.Suz", 17 ), PerfectGroup( 5040, 1 )
Stored class fusions from this table:
2.A7.2, 2.A8, 2.Suz, A7, Isoclinic(2.A7.2)
Stored class fusions to this table:
2.A6, 2.D8, 2.L3(2), 2.S4, 2 × 7:3, 32:8, 5:8, 6.A7, (2.A4 × 3).2, Isoclinic(2.A5.2)

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