Character Table info for 2.(A4 × A4).2
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Name:
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b33141
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Group order:
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576 = 26 ⋅ 32
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Number of classes:
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23
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InfoText value:
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origin: CAS library,
names:b33141
order: 2^6.3^2 = 576
number of classes: 23
source:generated by dixon-algorithm
aachen [1981],
brown, h. / buelow, r. / neubueser, j.
wondratschek, h. / zassenhaus, h.
crystallographic groups of
four dimensional space
comments:isomorphism type 576.1
q-classes: 33/14
generators:
a: 1 0 0 0 b: -1 -1 -1 2 c: 1 0 0 0
0 -1 0 0 0 0 1 0 0 -1 0 0
0 0 -1 0 0 -1 0 0 0 0 1 0
0 -1 -1 1 -1 -1 0 1 1 0 1 -1
d: 0 0 -1 0 e: 0 -1 0 1 f: 0 1 0 -1
1 1 1 -2 -1 0 0 1 0 0 -1 -1
-1 0 0 0 1 1 1 -1 1 0 0 -1
0 0 0 -1 0 0 1 0 1 1 0 -1
test: 1. o.r., sym 2, 3 decompose correctly
tests: 1.o.r., pow[2,3]
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Group constructions in GAP:
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AtlasStabilizer( "U4(2)", "U42G1-p45B0" ),
SmallGroup( 576, 8277 ),
TransitiveGroup( 24, 1482 ),
TransitiveGroup( 24, 1483 )
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Stored class fusions from this table:
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U4(2),
W(F4)
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Stored class fusions to this table:
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2.(2.(A4 × A4).2)