Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.G2(4)

Name:
2.G2(4)
Group order:
503193600 = 213 ⋅ 33 ⋅ 52 ⋅ 7 ⋅ 13
Number of classes:
55
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r.
Maximal subgroups:
  Order Index Structure Name
1 1209600 416 2.J2 2.J2
2 368640 1365 2.22+8.(3 × A5) 2.2^(2+8).(3xA5)
3 368640 1365 2.24+6.(A5 × 3) 2.2^(4+6).(A5x3)
4 249600 2016 Isoclinic(2 × U3(4).2) Isoclinic(2xU3(4).2)
5 241920 2080 Isoclinic(6.L3(4).23) Isoclinic(6.L3(4).2_3)
6 24192 20800 Isoclinic(2 × U3(3).2) Isoclinic(2xU3(3).2)
7 7200 69888 2.A5 × A5 2.A5xA5
8 2184 230400 2.L2(13) 2.L2(13)
Stored Sylow p normalizers:
p Order Index Structure Name
2 73728 6825 2.G2(4)N2 2.G2(4)N2
3 864 582400 31+2:8:4 3^(1+2):8:4
5 600 838656 2.(52:D12) 2.J2M8
7 252 1996800 (7:3 × 3):4 (7:3x3):4
13 156 3225600 (2 × 13).6 (2x13).6
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
13 dec. matrix (PDF)
Atlas representations:
6 available
Group constructions in GAP:
AtlasGroup( "2.G2(4)" ), AtlasSubgroup( "2.Suz", 1 )
Stored class fusions from this table:
2.G2(4).2, 2.Suz, G2(4), Isoclinic(2.G2(4).2)
Stored class fusions to this table:
2.22+8.(3 × A5), 2.24+6.(A5 × 3), 2.A5 × A5, 2.D10 × A5, 2.G2(4)N2, 2.J2, 2.(52:D12), 2.L2(13), 2A5 × D10, 31+2:8:4, (2 × 13).6, (7:3 × 3):4, Isoclinic(2 × U3(3).2), Isoclinic(2 × U3(4).2), Isoclinic(6.L3(4).23), S3 × 2.A5

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