Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 3.L3(4)

Name:
3.L3(4)
Group order:
60480 = 26 ⋅ 33 ⋅ 5 ⋅ 7
Number of classes:
28
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7]
Maximal subgroups:
  Order Index Structure Name
1 2880 21 3 × 24:A5 3x2^4:A5
2 2880 21 3 × 24:A5 3x2^4:A5
3 1080 56 3.A6 3.A6
4 1080 56 3.A6 3.L3(4)M4
5 1080 56 3.A6 3.L3(4)M5
6 504 120 3 × L3(2) 3xL3(2)
7 504 120 3 × L3(2) 3.L3(4)M7
8 504 120 3 × L3(2) 3.L3(4)M8
9 216 280 31+2+:Q8 3^(1+2)_+:Q8
Stored Sylow p normalizers:
p Order Index Structure Name
3 216 280 31+2+:Q8 3^(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:
25 available
Group constructions in GAP:
AtlasGroup( "3.L3(4)" ), AtlasSubgroup( "3.M22", 1 ), PerfectGroup( 60480, 1 )
Stored class fusions from this table:
3.L3(4).21, 3.L3(4).22, 3.L3(4).23, 3.L3(4).3, 3.L3(4).6, 3.M22, L3(4)
Stored class fusions to this table:
3.A6, 3.A6, 3.A6, 3 × L3(2), 3 × L3(2), 29:3.L3(4), 31+2+:Q8, 3 × 24:A5, 3 × L3(2), 6.L3(4), 210:3.L3(4), 121.L3(4), 122.L3(4), (22 × 3).L3(4), 210:6.L3(4)

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