Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for L2(8).3

Name:
L2(8).3
Group order:
1512 = 23 ⋅ 33 ⋅ 7
Number of classes:
11
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7], constructions: Aut(L2(8))
Duplicates:
A9M5
Maximal subgroups:
  Order Index Structure Name
1 504 3 L2(8) L2(8)
2 168 9 23:7:3 2^3.7.3
3 54 28 9:6 9:6
4 42 36 7:6 7:6
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
15 available
Group constructions in GAP:
AtlasGroup( "L2(8).3" ), AtlasStabilizer( "A9", "A9G1-p120aB0" ), AtlasStabilizer( "A9", "A9G1-p120bB0" ), AtlasStabilizer( "S6(2)", "S62G1-p960B0" ), AtlasSubgroup( "G2(3)", 7 ), AtlasSubgroup( "R(27)", 3 ), AtlasSubgroup( "S6(2)", 8 ), AutomorphismGroup( AtlasGroup( "L2(8)" ) ), PrimitiveGroup( 9, 9 ), PrimitiveGroup( 28, 3 ), PrimitiveGroup( 36, 2 ), SmallGroup( 1512, 779 ), TransitiveGroup( 9, 32 ), TransitiveGroup( 27, 391 ), TransitiveGroup( 28, 165 )
Stored class fusions from this table:
A9, G2(3), R(27), S6(2)
Stored class fusions to this table:
23:7:3, 7:6, 9:6, (7 × L2(8)).3, L2(8)

File created automatically by GAP on 20-May-2025.