Character Table info for (A4 × L3(4)):21
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Name:
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(a4xpsl(3,4)):2
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Group order:
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483840 = 29 ⋅ 33 ⋅ 5 ⋅ 7
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Number of classes:
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38
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InfoText value:
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origin: CAS library,
8th maximal subgroup of Suz,
test: 1.OR, JAMES, JAMES,n=3,
and restricted characters decompose properly.
tests: 1.o.r., pow[2,3,5,7]
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Group constructions in GAP:
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AtlasSubgroup( "Suz", 8 )
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Stored class fusions from this table:
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(A4 × L3(4):23):2,
L3(4).21,
Suz,
S4
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Stored class fusions to this table:
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2.(A4 × L3(4)).2,
2.(A4 × 3.L3(4)).2,
(A4 × 3.L3(4)).2