Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for 2⁶:S₆(2)

Name:

2^6:s6f2

Group order:

92897280 = 2¹⁵ ⋅ 3⁴ ⋅ 5 ⋅ 7

Number of classes:

67

InfoText value:

origin: CAS library, maximal subgroup of Fi22, 1987 O.B. tests: 1.o.r., pow[2,3,5,7]

Group constructions in GAP:

AtlasStabilizer( "Fi22", "F22G1-p694980B0" ), AtlasSubgroup( "Fi22", 6 ), PrimitiveGroup( 64, 55 )

Stored class fusions from this table:

2⁷:S₆(2), Fi₂₂, S₆(2)

Stored class fusions to this table:

2⁶:S₈, 2⁶:U₄(2).2, S₆(2)

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