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The query <q>[[Satisfies property::Automorph-conjugate subgroup]] [[Dissatisfies property::Characteristic subgroup]] [[Category:Particular subgroups]] OR [[Satisfies property.Stronger than::Automorph-conjugate subgroup]] [[Dissatisfies property.Weaker than::Characteristic subgroup]] [[Category:Particular subgroups]]</q> was answered by the SMWSQLStore3 in 0.0226 seconds.

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 Group partSubgroup partQuotient part
2-Sylow subgroup of general linear group:GL(2,3)General linear group:GL(2,3)Semidihedral group:SD16
A3 in A4Alternating group:A4Cyclic group:Z3
A3 in A5Alternating group:A5Cyclic group:Z3
A3 in S4Symmetric group:S4Cyclic group:Z3
D8 in A6Alternating group:A6Dihedral group:D8
D8 in S4Symmetric group:S4Dihedral group:D8
Klein four-subgroup of alternating group:A5Alternating group:A5Klein four-group
S2 in S3Symmetric group:S3Cyclic group:Z2
Twisted S3 in A5Alternating group:A5Symmetric group:S3