Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L3(7)

Name:
L3(7)
Group order:
1876896 = 25 ⋅ 32 ⋅ 73 ⋅ 19
Number of classes:
22
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7,19]
Maximal subgroups:
  Order Index Structure Name
1 32928 57 72:2.L2(7).2 7^2:2.L2(7).2
2 32928 57 72:2.L2(7).2 L3(7)M2
3 336 5586 L3(2).2 L3(2).2
4 336 5586 L3(2).2 L3(7)M4
5 336 5586 L3(2).2 L3(7)M5
6 72 26068 (A4 × 3):2 (A4x3):2
7 72 26068 32:Q8 3^2:Q8
8 57 32928 19:3 19:3
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
7 dec. matrix (PDF)
19 dec. matrix (PDF)
Atlas representations:
18 available
Group constructions in GAP:
AtlasGroup( "L3(7)" ), AtlasSubgroup( "L3(7).2", 1 ), PSL( 3, 7 ), PerfectGroup( 1876896, 1 ), PrimitiveGroup( 57, 2 )
Stored class fusions from this table:
L3(7).2, L3(7).3
Stored class fusions to this table:
3.L3(7), 32:Q8, 72:2.L2(7).2, 19:3, (A4 × 3):2, L3(2).2, 72:2.L2(7).2, L3(2).2, L3(2).2

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