Character Table info for pap
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Name:
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pap
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Group order:
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108 = 22 ⋅ 33
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Number of classes:
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11
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InfoText value:
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origin: CAS library,
names:=pap
order: 2^2.3^3 = 108
number of classes: 11
source:norman, j.f.
the group characters for a group of
order 108 associated with a pappus
theorem of projective geometry,
[romanian summary]
an. univ. timisoara ser. sti.mat.11
(1973),115-122
generated by dixon algorithm
aachen (1980)
comments:degree:4
generators:a,b,c,d
relations: a^2=b^2=c^2=d^3=1
(ac)^3=(acd)^3=(bd)^2=1
(ad)^2=(da)^2
[ab]=[bc]=[cd]=1
tests: 1.o.r., pow[2,3]
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Main table:
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M12N3
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Group constructions in GAP:
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SmallGroup( 108, 17 ),
TransitiveGroup( 9, 18 ),
TransitiveGroup( 18, 51 ),
TransitiveGroup( 18, 55 ),
TransitiveGroup( 18, 56 ),
TransitiveGroup( 18, 57 ),
TransitiveGroup( 27, 29 )