Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for U3(3).2

Name:
U3(3).2
Group order:
12096 = 26 ⋅ 33 ⋅ 7
Number of classes:
16
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,7], constructions: Aut(U3(3))
Duplicates:
U3(3).2
Maximal subgroups:
  Order Index Structure Name
1 6048 2 U3(3) U3(3)
2 432 28 31+2:SD16 3^(1+2):SD16
3 336 36 L3(2).2 L3(2).2
4 192 63 21+4.S3 2^(1+4).S3
5 192 63 42:D12 4^2:D12
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
9 available
Group constructions in GAP:
AtlasGroup( "U3(3).2" ), AtlasStabilizer( "G2(4)", "G24G1-p20800B0" ), AtlasStabilizer( "J2.2", "J2d2G1-p100B0" ), AtlasStabilizer( "S6(2)", "S62G1-p120B0" ), AtlasSubgroup( "3D4(2)", 3 ), AtlasSubgroup( "G2(3)", 1 ), AtlasSubgroup( "G2(3)", 2 ), AtlasSubgroup( "G2(4)", 6 ), AtlasSubgroup( "G2(5)", 6 ), AtlasSubgroup( "J2.2", 2 ), AtlasSubgroup( "S6(2)", 4 ), AutomorphismGroup( AtlasGroup( "U3(3)" ) ), PrimitiveGroup( 28, 5 ), PrimitiveGroup( 36, 7 ), PrimitiveGroup( 63, 2 ), PrimitiveGroup( 63, 4 ), TransitiveGroup( 28, 393 )
Stored class fusions from this table:
3D4(2), F3+, G2(3), G2(4), G2(5), J2.2, S6(2), U4(3).23
Stored class fusions to this table:
2.26:u3(3):2, 22.(U3(3).2 × S4), (26:U3(3)):2, 21+4.S3, 31+2:SD16, 42:D12, 7:6, (2.A6 × U3(3)).2, (A6 × U3(3)):2, (Q16 × U3(3)).2, Isoclinic(2 × U3(3).2), L3(2).2, M12N2, U3(3)

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