Character Table info for 72:2.L2(7).2
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Name:
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7^2:2.L2(7).2
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Group order:
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32928 = 25 ⋅ 3 ⋅ 73
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Number of classes:
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21
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InfoText value:
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origin: constructed using Dixon's algorithm & table of L3(7),
1st and 2nd maximal subgroup of L3(7),
tests: 1.o.r., pow[2,3,7]
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Duplicates:
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(7^2)b:2.L2(7).2,
L3(7)M2
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Group constructions in GAP:
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AtlasStabilizer( "L3(7)", "L37G1-p57B0" ),
AtlasSubgroup( "He.2", 5 ),
AtlasSubgroup( "L3(7)", 1 ),
PrimitiveGroup( 49, 31 )
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Stored class fusions from this table:
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He.2,
Isoclinic(2.L3(2).2),
L3(7),
ON
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Stored class fusions to this table:
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72:2L2(7)