Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₃ × O₇(3)

Name:

S3xO7(3)

Group order:

27512110080 = 2¹⁰ ⋅ 3¹⁰ ⋅ 5 ⋅ 7 ⋅ 13

Number of classes:

174

InfoText value:

5th maximal subgroup of Fi23

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
13	468	58786560	S3 × 13:6	S3x13:6

Group constructions in GAP:

AtlasSubgroup( "Fi23", 5 ), DirectProduct( "D6", "O7(3)" )

Stored class fusions from this table:

2 × O₇(3), Fi₂₃

Stored class fusions to this table:

S₃ × 13:6

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