Character Table info for 2.[28]:5:4
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Name:
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2.2^8.f20
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Group order:
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10240 = 211 ⋅ 5
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Number of classes:
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28
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InfoText value:
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origin: CAS library,
maximal subgroup of 2F4(2)',
centralizer of 2a-element
structure:= 2*[2^8]:f20 [f20: frobenius group of order 20]
1st & 2nd orthogonality relations are satisfied
symmetric squares decompose properly
created August 1984,
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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AtlasStabilizer( "2F4(2)'", "TF42G1-p1755B0" )
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AtlasSubgroup( "2F4(2)'", 3 )
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Stored class fusions from this table:
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2.[29]:5:4,
2F4(2)'