Character Table info for 2.D10
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Name:
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bd10
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Group order:
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20 = 22 ⋅ 5
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Number of classes:
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8
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InfoText value:
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origin: CAS library,
names:=bd10
order: 2^2.5 = 20
number of classes: 8
source: generated by dixon-algorithm
aachen [1984]
comments:generators: a,b,c
relations: a^2=b^2=c^5=a*b*c
test: 1. o.r., sym 2 decompose correctly
tests: 1.o.r., pow[2,5]
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Group constructions in GAP:
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AtlasSubgroup( "2.A5", 2 ),
SmallGroup( 20, 1 ),
TransitiveGroup( 20, 2 )
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Stored class fusions from this table:
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2.A5,
2.A6,
2.D20,
5:8,
C4,
D10