Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L2(8)

Name:
L2(8)
Group order:
504 = 23 ⋅ 32 ⋅ 7
Number of classes:
9
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7]
Maximal subgroups:
  Order Index Structure Name
1 56 9 23:7 2^3:7
2 18 28 D18 D18
3 14 36 D14 D14
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
29 available
Group constructions in GAP:
AtlasGroup( "L2(8)" ), POmega( 3, 8 ), PSL( 2, 8 ), PSU( 2, 8 ), PSp( 2, 8 ), PerfectGroup( 504, 1 ), PrimitiveGroup( 9, 8 ), PrimitiveGroup( 28, 2 ), PrimitiveGroup( 36, 1 ), SmallGroup( 504, 156 ), TransitiveGroup( 9, 27 ), TransitiveGroup( 28, 70 )
Stored class fusions from this table:
L2(8).3
Stored class fusions to this table:
23:7, D14, D18, P41/G1/L1/V1/ext2, P41/G1/L1/V1/ext3, P41/G1/L1/V2/ext2, P41/G1/L1/V3/ext3, P41/G1/L1/V4/ext2, P41/G1/L1/V4/ext3, P41/G2/L1/V1/ext2, P41/G2/L1/V1/ext3

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