Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L5(2)

Name:
L5(2)
Group order:
9999360 = 210 ⋅ 32 ⋅ 5 ⋅ 7 ⋅ 31
Number of classes:
27
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,31]
Maximal subgroups:
  Order Index Structure Name
1 322560 31 24:A8 2^4:a8
2 322560 31 24:A8 2^4:a8
3 64512 155 26:(L3(2) × S3) 2^6:(psl(3,2)xs3)
4 64512 155 26:(L3(2) × S3) 2^6:(psl(3,2)xs3)
5 155 64512 31:5 31:5
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
31 dec. matrix (PDF)
Atlas representations:
23 available
Group constructions in GAP:
AtlasGroup( "L5(2)" ), AtlasSubgroup( "L5(2).2", 1 ), PSL( 5, 2 ), PrimitiveGroup( 31, 10 ), PrimitiveGroup( 155, 1 )
Stored class fusions from this table:
25:L5(2), 210:L5(2), L5(2).2, P1(L6(2))
Stored class fusions to this table:
24:A8, 25.L5(2), 25:L5(2), 26:(L3(2) × S3), 210:L5(2), 31:5, P1(L6(2)), [230].L5(2)

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