Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for S10

Name:
A10.2
Group order:
3628800 = 28 ⋅ 34 ⋅ 52 ⋅ 7
Number of classes:
42
InfoText value:
origin: ATLAS of finite groups, tests: 1.o.r., pow[2,3,5,7], constructions: Aut(A10)
Maximal subgroups:
  Order Index Structure Name
1 1814400 2 A10 A10
2 362880 10 S9 A9.2
3 80640 45 S8 × 2 S8x2
4 30240 120 S7 × S3 S7xS3
5 28800 126 (S5 × S5):2 s5wrs2
6 17280 210 S6 × S4 S6xS4
7 3840 945 25:S5 s2wrs5
8 1440 2520 A6.22 A6.2^2
Available Brauer tables:
p  
2 dec. matrix (PDF)
3 dec. matrix (PDF)
5 dec. matrix (PDF)
7 dec. matrix (PDF)
Atlas representations:
1 available
Group constructions in GAP:
AtlasGroup( "A10.2" ), AtlasStabilizer( "A11.2", "S11G1-p11B0" ), AtlasStabilizer( "A12", "A12G1-p66B0" ), AtlasSubgroup( "Fi22", 12 ), AtlasSubgroup( "Fi22", 13 ), AutomorphismGroup( AlternatingGroup( 10 ) ), PrimitiveGroup( 10, 9 ), PrimitiveGroup( 45, 7 ), PrimitiveGroup( 120, 19 ), PrimitiveGroup( 126, 2 ), PrimitiveGroup( 210, 2 ), PrimitiveGroup( 945, 2 ), PrimitiveGroup( 2520, 7 ), SymmetricGroup( 10 ), TransitiveGroup( 10, 45 ), TransitiveGroup( 20, 1007 )
Stored class fusions from this table:
S11, A12, Fi22, S8(2)
Stored class fusions to this table:
2.A10.2, (A10 × 3):2, A6.22, S9, A10, Isoclinic(2.A10.2), S6 × S4, S7 × S3, S8 × 2, 25:S5, (S5 × S5):2

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