Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2.L3(2)

Name:
2.L3(2)
Group order:
336 = 24 ⋅ 3 ⋅ 7
Number of classes:
11
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7]
Maximal subgroups:
  Order Index Structure Name
1 48 7 2.S4 2.Symm(4)
2 48 7 2.S4 2.Symm(4)
3 42 8 2 × 7:3 2x7:3
Stored Sylow p normalizers:
p Order Index Structure Name
2 16 21 2.D8 2.D8
3 12 28 2.S3 2.S3
7 42 8 2 × 7:3 2x7:3
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
13 available
Group constructions in GAP:
AtlasGroup( "2.L3(2)" ), AtlasSubgroup( "2.A7", 2 ), AtlasSubgroup( "2.L3(2).2", 1 ), AtlasSubgroup( "Isoclinic(2.L3(2).2)", 1 ), PerfectGroup( 336, 1 ), SL( 2, 7 ), SmallGroup( 336, 114 ), TransitiveGroup( 16, 715 )
Stored class fusions from this table:
2.A7, 2.L3(2).2, Isoclinic(2.L3(2).2), L3(2)
Stored class fusions to this table:
2.D8, 2.S3, 2.S4, 2 × 7:3, 72:2L2(7), 71+2.Sp(2, 7), P12/G1/L2/V1/ext2, P12/G1/L2/V1/ext3

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