Character Table info for S6(2)
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Name:
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S6(2)
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Group order:
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1451520 = 29 ⋅ 34 ⋅ 5 ⋅ 7
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Number of classes:
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30
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InfoText value:
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origin: ATLAS of finite groups, tests: 1.o.r.
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Duplicates:
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O7(3)M8,
O8+(2)M2,
O8+(2)M3,
U6(2)M10,
U6(2)M9
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Maximal subgroups:
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Stored Sylow p normalizers:
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Available Brauer tables:
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Atlas representations:
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57 available
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Group constructions in GAP:
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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 )
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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 )
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Stored class fusions from this table:
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26:S6(2),
28:S6(2),
L6(2),
O7(3),
O7(5),
O8+(2),
O8−(2),
U6(2)
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Stored class fusions to this table:
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2.F4(2)M1,
2.S6(2),
2.[26].(2 × S3),
2.[26]:(S3 × S3),
21+8+:S6(2),
25:S6,
26:L3(2),
26:S4a,
26:S4b,
26:S6(2),
27:S6(2),
28:S6(2),
2 × 2.S6(2),
33:(S3 × 2),
3(1+2)+:2S4,
3 × 2.S6(2),
7:6,
(26 × 28):S6(2),
(21+8 × 26):S6(2),
S8,
L2(8).3,
S3 × 5:4,
S3 × S6,
S6(2)N2,
27:S6(2),
U3(3).2,
U4(2).2,
33:(S4 × 2)