Overview of the GAP Character Table Library (version 1.3.10)

Character Table info for (S₅ × S₅ × S₅):S₃

Name:

(S5xS5xS5):S3

Group order:

10368000 = 2¹⁰ ⋅ 3⁴ ⋅ 5³

Number of classes:

140

InfoText value:

31st maximal subgroup of M

Atlas representations:

1 available

Group constructions in GAP:

AtlasGroup( "(S5xS5xS5):S3" ), PrimitiveGroup( 125, 35 ), PrimitiveGroup( 216, 20 ), PrimitiveGroup( 1000, 10 ), TransitiveGroup( 15, 102 ), TransitiveGroup( 18, 958 ), TransitiveGroup( 30, 2981 ), TransitiveGroup( 30, 2984 ), TransitiveGroup( 30, 2985 ), TransitiveGroup( 30, 2986 ), TransitiveGroup( 30, 2989 ), TransitiveGroup( 30, 2990 ), TransitiveGroup( 30, 2994 ), TransitiveGroup( 30, 2998 )

Stored class fusions from this table:

M, S₃

Stored class fusions to this table:

S₃

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