id:A066083 - OEIS Search Results

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Number of supersolvable groups of order n.

+0
2

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; listen)

	OFFSET	`1,4`
	COMMENT	`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.`
	REFERENCES	`B. Huppert, Ueber das Produkt von paarweise vertauschbaren zyklischen Gruppen, Math. Z. 58 (1954).`
	CROSSREFS	`Cf. A000001, A066085.` `Sequence in context: A032021 A128515 A119569 this_sequence A128644 A000001 A109087` `Adjacent sequences: A066080 A066081 A066082 this_sequence A066084 A066085 A066086`
	KEYWORD	`nonn,nice`
	AUTHOR	`Reiner Martin (reinermartin(AT)hotmail.com), Dec 29 2001`

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Last modified July 25 07:41 EDT 2008. Contains 142293 sequences.

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