Character Table info for 32:D8
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Name:
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s3wrs2
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Group order:
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72 = 23 ⋅ 32
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Number of classes:
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9
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InfoText value:
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origin: CAS library,
names:=s3wrs2, o4p2
order: 2^3.3^2 = 72
number of classes: 9
source:saenger, f.
einige charakterentafeln von symmetrien
symmetrischer gruppen
mitt.math.sem. giessen
heft 98 [1973], 21 - 38
comments:wreath-product of s3 with s2
test: orth.1, minus, sym(3)
tests: 1.o.r., pow[2,3]
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Group constructions in GAP:
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AtlasStabilizer( "A6.2_1", "S6G1-p10B0" ),
AtlasSubgroup( "A6.2_1", 4 ),
PrimitiveGroup( 9, 2 ),
SmallGroup( 72, 40 ),
TransitiveGroup( 6, 13 ),
TransitiveGroup( 9, 16 ),
TransitiveGroup( 12, 34 ),
TransitiveGroup( 12, 35 ),
TransitiveGroup( 12, 36 ),
TransitiveGroup( 18, 34 ),
TransitiveGroup( 18, 36 ),
TransitiveGroup( 24, 72 )
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Stored class fusions from this table:
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32:Q8.2,
S6,
S7,
A8
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Stored class fusions to this table:
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2.A8N3,
32:4,
S3 × S3