Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S11

Name:
A11.2
Group order:
39916800 = 28 ⋅ 34 ⋅ 52 ⋅ 7 ⋅ 11
Number of classes:
56
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11], constructions: Aut(A11)
Maximal subgroups:
  Order Index Structure Name
1 19958400 2 A11 A11
2 3628800 11 S10 A10.2
3 725760 55 S9 × 2 S9x2
4 241920 165 S8 × S3 S8xS3
5 120960 330 S7 × S4 S7xS4
6 86400 462 S6 × S5 S6xS5
7 110 362880 11:10 11:10
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
11 dec. matrix (PDF)
Atlas representations:
2 available
Group constructions in GAP:
AtlasGroup( "A11.2" ), AtlasStabilizer( "A12.2", "S12G1-p12B0" ), AtlasStabilizer( "A13", "A13G1-p78B0" ), AutomorphismGroup( AlternatingGroup( 11 ) ), PrimitiveGroup( 11, 8 ), PrimitiveGroup( 55, 6 ), PrimitiveGroup( 165, 5 ), PrimitiveGroup( 330, 4 ), PrimitiveGroup( 462, 4 ), SymmetricGroup( 11 ), TransitiveGroup( 11, 8 ), TransitiveGroup( 22, 45 )
Stored class fusions from this table:
S12, A13
Stored class fusions to this table:
2.A11.2, 11:10, S10, A11, Isoclinic(2.A11.2), S6 × S5, S7 × S4, S8 × S3, S9 × 2

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