Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2 × Fi₂₂

Name:

2xFi22

Group order:

129123503308800 = 2¹⁸ ⋅ 3⁹ ⋅ 5² ⋅ 7 ⋅ 11 ⋅ 13

Number of classes:

130

InfoText value:

subquotient group of BM9, needed in the construction of 2^2.Fi22.2

Stored Sylow p normalizers:

p	Order	Index	Structure	Name
3	157464	820019200	2 × Fi22N3	2xFi22N3
5	4800	26900729856	2 × Fi22N5	2xFi22N5

Group constructions in GAP:

DirectProduct( "C2", "Fi22" )

Stored class fusions from this table:

2.²E₆(2), 2 × Fi₂₂.2

Stored class fusions to this table:

2 × 2.Fi₂₂, 2 × 6.Fi₂₂

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