Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L3(8)

Name:
L3(8)
Group order:
16482816 = 29 ⋅ 32 ⋅ 72 ⋅ 73
Number of classes:
72
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7,73]
Maximal subgroups:
  Order Index Structure Name
1 225792 73 26:(7 × L2(8)) 2^6:(7xL2(8))
2 225792 73 26:(7 × L2(8)) 2^6:(7xL2(8))
3 294 56064 72:S3 7^2:S3
4 219 75264 73:3 73:3
5 168 98112 L3(2) L3(2)
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
7 dec. matrix (PDF)
73 dec. matrix (PDF)
Atlas representations:
36 available
Group constructions in GAP:
AtlasGroup( "L3(8)" ), AtlasSubgroup( "L3(8).2", 1 ), AtlasSubgroup( "L3(8).3", 1 ), PSL( 3, 8 ), PrimitiveGroup( 73, 13 )
Stored class fusions from this table:
L3(8).2, L3(8).3, L3(8).6
Stored class fusions to this table:
26:(7 × L2(8)), 72:S3, 73:3, L3(2)

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