Overview of the GAP Character Table Library (version 1.3.8)

Character Table info for S₆(2)

Name:

O8+(2)M2

Group order:

1451520 = 2⁹ ⋅ 3⁴ ⋅ 5 ⋅ 7

Number of classes:

30

InfoText value:

2nd maximal subgroup of O8+(2), differs from O8+(2)M1 = S6(2) only by fusion map

Main table:

S₆(2)

Group constructions in GAP:

AtlasGroup( "S6(2)" ), AtlasStabilizer( "O8-(2)", "O8m2G1-p136B0" ), AtlasStabilizer( "U6(2)", "U62G1-p6336aB0" ), AtlasStabilizer( "U6(2)", "U62G1-p6336bB0" ), AtlasStabilizer( "U6(2)", "U62G1-p6336cB0" ), AtlasSubgroup( "O7(3)", 7 ), AtlasSubgroup( "U6(2)", 8 ), AtlasSubgroup( "U6(2)", 9 ), AtlasSubgroup( "U6(2)", 10 ), POmega( 7, 2 ), PSp( 6, 2 ), PerfectGroup( 1451520, 1 ), PrimitiveGroup( 28, 6 ), PrimitiveGroup( 36, 10 ), PrimitiveGroup( 63, 5 ), PrimitiveGroup( 120, 14 ), PrimitiveGroup( 135, 1 ), PrimitiveGroup( 315, 1 ), PrimitiveGroup( 336, 7 ), PrimitiveGroup( 960, 6 ), TransitiveGroup( 28, 1256 )

Stored class fusions from this table:

O₈⁺(2)

Stored class fusions to this table:

2.S₆(2), 2 × 2.S₆(2)

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