Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for A13.2

Name:
A13.2
Group order:
6227020800 = 210 ⋅ 35 ⋅ 52 ⋅ 7 ⋅ 11 ⋅ 13
Number of classes:
101
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7,11,13], constructions: Aut(A13)
Maximal subgroups:
  Order Index Structure Name
1 3113510400 2 A13 A13
2 479001600 13 S12 A12.2
3 79833600 78 S11 × 2 S11x2
4 21772800 286 S10 × S3 S10xS3
5 8709120 715 S9 × S4 S9xS4
6 4838400 1287 S8 × S5 S8xS5
7 3628800 1716 S7 × S6 S7xS6
8 156 39916800 13:12 13:12
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
11 dec. matrix (PDF)
13 dec. matrix (PDF)
Atlas representations:
2 available
Group constructions in GAP:
AtlasGroup( "A13.2" ), AtlasStabilizer( "A14.2", "S14G1-p14B0" ), AutomorphismGroup( AlternatingGroup( 13 ) ), PrimitiveGroup( 13, 9 ), PrimitiveGroup( 78, 4 ), PrimitiveGroup( 286, 2 ), PrimitiveGroup( 715, 2 ), PrimitiveGroup( 1287, 2 ), PrimitiveGroup( 1716, 2 ), SymmetricGroup( 13 ), TransitiveGroup( 13, 9 ), TransitiveGroup( 26, 83 )
Stored class fusions from this table:
A14.2
Stored class fusions to this table:
2.A13.2, 13:12, S12, A13, Isoclinic(2.A13.2), S7 × S6, S8 × S5, S9 × S4, S10 × S3, S11 × 2

File created automatically by GAP on 6-May-2025.