Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for O₈⁺(2):S₃ × 2

Name:

O8+(2):S3x2

Group order:

2090188800 = 2¹⁴ ⋅ 3⁶ ⋅ 5² ⋅ 7

Number of classes:

136

InfoText value:

4th maximal subgroup of 2.Fi22, 3rd maximal subgroup of Fi22.2

Group constructions in GAP:

AtlasStabilizer( "Fi22.2", "F22d2G1-p61776B0" ), AtlasSubgroup( "2.Fi22", 4 ), AtlasSubgroup( "Fi22.2", 3 ), DirectProduct( "O8+(2).3.2", "C2" )

Stored class fusions from this table:

2.Fi₂₂, Fi₂₂.2

Stored class fusions to this table:

2 × Fi₂₂N5, 6 × O₈⁺(2):S₃

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