Character Table info for 21+12.31.U4(3).22'
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Name:
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2^(1+12).3_1.U4(3).2_2'
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Group order:
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160526499840 = 221 ⋅ 37 ⋅ 5 ⋅ 7
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Number of classes:
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167
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InfoText value:
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9th maximal subgroup of F3+,
constructed in September 2000 by Thomas Breuer, using a permutation
representation and the table of F3+, sorted according to the chain
2 < 2^(1+12) < 2^(1+12).3 < 2^(1+12).3.U4(3) < 2^(1+12).3.U4(3).2,
tests: 1.o.r., pow[2,3,5,7]
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Stored class fusions from this table:
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212.31.U4(3).22',
31.U4(3).22',
F3+
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Stored class fusions to this table:
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3.21+12.3U4(3).2