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The query [[Subgroup part::Cyclic group:Z2]] was answered by the SMWSQLStore3 in 0.0074 seconds.


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 Subgroup partGroup partQuotient part
Center of binary octahedral groupCyclic group:Z2Binary octahedral groupSymmetric group:S4
Center of dihedral group:D16Cyclic group:Z2Dihedral group:D16Dihedral group:D8
Center of dihedral group:D8Cyclic group:Z2Dihedral group:D8Klein four-group
Center of general linear group:GL(2,3)Cyclic group:Z2General linear group:GL(2,3)Symmetric group:S4
Center of quaternion groupCyclic group:Z2Quaternion groupKlein four-group
Center of semidihedral group:SD16Cyclic group:Z2Semidihedral group:SD16Dihedral group:D8
Center of special linear group:SL(2,3)Cyclic group:Z2Special linear group:SL(2,3)Alternating group:A4
Center of special linear group:SL(2,5)Cyclic group:Z2Special linear group:SL(2,5)Alternating group:A5
Central subgroup generated by a non-square in nontrivial semidirect product of Z4 and Z4Cyclic group:Z2Nontrivial semidirect product of Z4 and Z4Quaternion group
Derived subgroup of M16Cyclic group:Z2M16Direct product of Z4 and Z2
Derived subgroup of nontrivial semidirect product of Z4 and Z4Cyclic group:Z2Nontrivial semidirect product of Z4 and Z4Direct product of Z4 and Z2
First agemo subgroup of direct product of Z4 and Z2Cyclic group:Z2Direct product of Z4 and Z2Klein four-group
Non-characteristic order two subgroups of direct product of Z4 and Z2Cyclic group:Z2Direct product of Z4 and Z2Cyclic group:Z4
Non-normal subgroups of M16Cyclic group:Z2M16
Non-normal subgroups of dihedral group:D8Cyclic group:Z2Dihedral group:D8
S2 in S3Cyclic group:Z2Symmetric group:S3
S2 in S4Cyclic group:Z2Symmetric group:S4
Subgroup generated by a non-commutator square in nontrivial semidirect product of Z4 and Z4Cyclic group:Z2Nontrivial semidirect product of Z4 and Z4Dihedral group:D8
Subgroup generated by double transposition in symmetric group:S4Cyclic group:Z2Symmetric group:S4
Z2 in V4Cyclic group:Z2Klein four-groupCyclic group:Z2