Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for 6.L3(4)

Name:
6.L3(4)
Group order:
120960 = 27 ⋅ 33 ⋅ 5 ⋅ 7
Number of classes:
50
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
Some maximal subgroups:
  Order Index Structure Name
1 5760 21 3 × 25.A5 3x2^5.A5
6 1008 120 6 × L3(2) 6xL3(2)
7 1008 120 6 × L3(2) 6.L3(4)M7
8 1008 120 6 × L3(2) 6.L3(4)M8
9 432 280 Isoclinic(2 × 31+2+:Q8) Isoclinic(2x3^(1+2)_+:Q8)
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
4 available
Group constructions in GAP:
AtlasGroup( "6.L3(4)" ), AtlasSubgroup( "6.M22", 1 ), PerfectGroup( 120960, 2 )
Stored class fusions from this table:
2.L3(4), 3.L3(4), 6.L3(4).21, 6.L3(4).22, 6.L3(4).23, 6.M22, Isoclinic(6.L3(4).21), Isoclinic(6.L3(4).22), Isoclinic(6.L3(4).23), L3(4)
Stored class fusions to this table:
3 × 25.A5, 6 × L3(2), 6 × L3(2), 6 × L3(2), 121.L3(4), 122.L3(4), (22 × 3).L3(4), Isoclinic(2 × 31+2+:Q8)

File created automatically by GAP on 20-May-2025.