Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L5(2).2

Name:
L5(2).2
Group order:
19998720 = 211 ⋅ 32 ⋅ 5 ⋅ 7 ⋅ 31
Number of classes:
33
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,31], constructions: Aut(L5(2))
Some maximal subgroups:
  Order Index Structure Name
1 9999360 2 L5(2) L5(2)
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:
9 available
Group constructions in GAP:
AtlasGroup( "L5(2).2" ), AutomorphismGroup( AtlasGroup( "L5(2)" ) ), PrimitiveGroup( 465, 3 ), PrimitiveGroup( 496, 8 ), PrimitiveGroup( 1085, 1 )
Stored class fusions to this table:
L5(2)

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