Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 5²:4S₄

Name:

Fi22N5

Group order:

2400 = 2⁵ ⋅ 3 ⋅ 5²

Number of classes:

20

InfoText value:

origin: Ostermann, tests: 1.o.r., pow[2,3,5] Sylow 5 normalizer in sporadic Fischer group Fi22,

Group constructions in GAP:

AtlasSubgroup( "He.2", 12 ), PrimitiveGroup( 25, 19 ), TransitiveGroup( 25, 65 ), TransitiveGroup( 30, 376 )

Stored class fusions from this table:

²F₄(2)'.2, 2 × Fi₂₂N5, F₄(2), Fi₂₂, He.2, O₈⁺(2).3.2

Stored class fusions to this table:

2 × Fi₂₂N5, 5²:4A₄, 6 × Fi₂₂N5, (D₁₀ × D₁₀).2², F₃₊N5

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