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A066083
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Number of supersolvable groups of order n.
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2
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1, 1, 1, 2, 1, 2, 1, 5, 2, 2, 1, 4, 1, 2, 1, 14, 1, 5, 1, 5, 2, 2, 1, 12, 2, 2, 5, 4, 1, 4, 1, 51, 1, 2, 1, 11, 1, 2, 2, 14, 1, 6, 1, 4, 2, 2, 1, 42, 2, 5, 1, 5, 1, 15, 2, 12, 2, 2, 1, 11, 1, 2, 4, 267, 1, 4, 1, 5, 1, 4, 1, 37, 1, 2, 2, 4, 1, 6, 1, 51
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,4
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COMMENTS
| A finite group is supersolvable if it has a normal series with cyclic factors. Huppert showed that a finite group is supersolvable iff the index of any maximal subgroup is prime.
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REFERENCES
| B. Huppert, Ueber das Produkt von paarweise vertauschbaren zyklischen Gruppen, Math. Z. 58 (1954).
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CROSSREFS
| Cf. A000001, A066085.
Sequence in context: A159829 A128515 A119569 * A128644 A201733 A000001
Adjacent sequences: A066080 A066081 A066082 * A066084 A066085 A066086
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KEYWORD
| nonn,nice
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AUTHOR
| Reiner Martin (reinermartin(AT)hotmail.com), Dec 29 2001
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