Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.A7

Name:
3.A7
Group order:
7560 = 23 ⋅ 33 ⋅ 5 ⋅ 7
Number of classes:
23
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
Duplicates:
3.A7, 3.A7
Maximal subgroups:
  Order Index Structure Name
1 1080 7 3.A6 3.A6
2 504 15 3 × L3(2) 3xL3(2)
3 504 15 3 × L3(2) 3xL3(2)
4 360 21 3 × A5.2 3xA5.2
5 216 35 3.(A4 × 3):2 3.(A4x3):2
Stored Sylow p normalizers:
p Order Index Structure Name
2 24 315 3 × D8 3xD8
3 108 70 31+2:4 3^(1+2):4
5 60 126 5:4 × 3 5:4x3
7 63 120 7:3 × 3 7:3x3
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
34 available
Group constructions in GAP:
AtlasGroup( "3.A7" ), AtlasSubgroup( "3.M22", 3 ), AtlasSubgroup( "3.M22", 4 ), AtlasSubgroup( "3.ON", 12 ), AtlasSubgroup( "3.ON", 13 ), AtlasSubgroup( "3.Suz", 17 ), PerfectGroup( 7560, 1 )
Stored class fusions from this table:
3.A7.2, 3.M22, 3.ON, 3.Suz, 3.U3(5), A7
Stored class fusions to this table:
2.(2 × 3.A7), 3.24:A7, 3.(A4 × 3):2, 3.A6, 3.24:A7, 31+2:4, 3 × A5.2, 3 × D8, 3 × L3(2), 3 × S4, 5:4 × 3, 6.A7, 7:3 × 3

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