Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.L3(4)

Name:
2.L3(4)
Group order:
40320 = 27 ⋅ 32 ⋅ 5 ⋅ 7
Number of classes:
18
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
Maximal subgroups:
  Order Index Structure Name
1 1920 21 25:A5 P1/G2/L1/V1/ext2
2 1920 21 25:A5 P1/G2/L1/V1/ext2
3 720 56 2 × A6 2xA6
4 720 56 2 × A6 2.L3(4)M4
5 720 56 2 × A6 2.L3(4)M5
6 336 120 2 × L3(2) 2xL3(2)
7 336 120 2 × L3(2) 2.L3(4)M7
8 336 120 2 × L3(2) 2.L3(4)M8
9 144 280 Isoclinic(2 × 32:Q8) Isoclinic(2x3^2:Q8)
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
29 available
Group constructions in GAP:
AtlasGroup( "2.L3(4)" ), AtlasSubgroup( "2.M22", 1 ), PerfectGroup( 40320, 4 )
Stored class fusions from this table:
2.L3(4).21, 2.L3(4).22, 2.L3(4).23, 2.M22, Isoclinic(2.L3(4).21), Isoclinic(2.L3(4).22), Isoclinic(2.L3(4).23), L3(4)
Stored class fusions to this table:
2 × A6, 2 × A6, 2 × L3(2), 2 × L3(2), 22.L3(4), 2 × A6, 2 × L3(2), 41.L3(4), 42.L3(4), 6.L3(4), 121.L3(4), 122.L3(4), (22 × 3).L3(4), Isoclinic(2 × 32:Q8), 25:A5

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