Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2⁸:S₆(2)

Name:

2^8:S6(2)

Group order:

371589120 = 2¹⁷ ⋅ 3⁴ ⋅ 5 ⋅ 7

Number of classes:

70

InfoText value:

maximal subgroup of 2^8:O8+(2), computed by Faryad Ali (Note that the group is *not* contained in 2^8:O8-(2), 2^8:O8-(2) contains a subgroup of type 2^8:S6(2) with orbits lengths 1+1+56+63+63+72 on the 2^8, which has 168 conjugacy classes), tests: pow[2,3,5,7]

Group constructions in GAP:

PrimitiveGroup( 256, 227 )

Stored class fusions from this table:

2⁸:O₈⁺(2), S₆(2)

Stored class fusions to this table:

2¹⁺⁸₊:S₆(2), S₆(2)

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