Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for L3(2).2

Name:
L3(2).2
Group order:
336 = 24 ⋅ 3 ⋅ 7
Number of classes:
9
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7], constructions: Aut(L3(2))
Duplicates:
L3(2).2, L3(2).2
Maximal subgroups:
  Order Index Structure Name
1 168 2 L3(2) L3(2)
2 42 8 7:6 7:6
3 16 21 D16 D16
4 12 28 S3 × 2 S3x2
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
21 available
Group constructions in GAP:
AtlasGroup( "L3(2).2" ), AtlasStabilizer( "J2", "J2G1-p1800B0" ), AtlasStabilizer( "L3(8).2", "L38d2G1-p98112B0" ), AtlasStabilizer( "U3(5).2", "U35d2G1-p750B0" ), AtlasStabilizer( "U3(7)", "U37G1-p16856B0" ), AtlasSubgroup( "J2", 7 ), AtlasSubgroup( "ON.2", 10 ), AtlasSubgroup( "U3(5).2", 6 ), AtlasSubgroup( "U3(7)", 4 ), AutomorphismGroup( AtlasGroup( "L3(2)" ) ), PrimitiveGroup( 8, 5 ), PrimitiveGroup( 21, 1 ), PrimitiveGroup( 28, 1 ), SmallGroup( 336, 208 ), TransitiveGroup( 8, 43 ), TransitiveGroup( 14, 16 ), TransitiveGroup( 16, 713 ), TransitiveGroup( 21, 20 ), TransitiveGroup( 24, 707 ), TransitiveGroup( 28, 42 ), TransitiveGroup( 28, 46 )
Stored class fusions from this table:
S8, J2, L3(4).21, L3(4).23, L3(7), L3(8).2, O8(2).2, ON.2, U3(3).2, U3(5).2, U3(7)
Stored class fusions to this table:
2.L3(2).2, 7:6, (2.A7 × L2(7)).2, (2 × L3(2)).2, (7:3 × L2(7)):2, (72:(3 × 2A4) × L2(7)).2, (A7 × L2(7)):2, (L3(2) × L3(2)):2, (L3(2) × S4(4):2).2, D16, Isoclinic(2.L3(2).2), L3(2), S3 × 2

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