Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.A8

Name:
2.A8
Group order:
40320 = 27 ⋅ 32 ⋅ 5 ⋅ 7
Number of classes:
23
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
Maximal subgroups:
  Order Index Structure Name
1 5040 8 2.A7 2.A7
2 2688 15 21+3:L3(2) 2^(1+3):L3(2)
3 2688 15 21+3:L3(2) 2^(1+3):L3(2)
4 1440 28 2.A6.21 2.A6.2_1
5 1152 35 2(A4 × A4).22 2(A4xA4).2^2
6 720 56 (2.A5 × 3).2 (2.A5x3).2
Stored Sylow p normalizers:
p Order Index Structure Name
2 128 315 24:D8 2^4:D8
3 144 280 2.A8N3 2.A8N3
5 120 336 (3 × 2.D10).2 (3x2.D10).2
7 42 960 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:
26 available
Group constructions in GAP:
AtlasGroup( "2.A8" ), AtlasStabilizer( "McL", "McLG1-p22275bB0" ), AtlasSubgroup( "McL", 8 ), PerfectGroup( 40320, 3 )
Stored class fusions from this table:
2.A8.2, 2.A9, A8, Isoclinic(2.A8.2), McL
Stored class fusions to this table:
2(A4 × A4).22, 2.A6.21, 2.A7, 2.A8N3, 24:D8, 21+3:L3(2), 2 × 7:3, (2.A5 × 3).2, (3 × 2.D10).2, McLN2

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