,"Group part","Subgroup part","Quotient part"
"A3 in S3","Symmetric group:S3","Cyclic group:Z3","Cyclic group:Z2"
"A4 in S4","Symmetric group:S4","Alternating group:A4","Cyclic group:Z2"
"Center of M16",M16,"Cyclic group:Z4","Klein four-group"
"Center of dihedral group:D8","Dihedral group:D8","Cyclic group:Z2","Klein four-group"
"Center of unitriangular matrix group:UT(3,p)","Unitriangular matrix group:UT(3,p)","Group of prime order","Elementary abelian group of prime-square order"
"Cyclic maximal subgroup of dihedral group:D16","Dihedral group:D16","Cyclic group:Z8","Cyclic group:Z2"
"Cyclic maximal subgroup of dihedral group:D8","Dihedral group:D8","Cyclic group:Z4","Cyclic group:Z2"
"Cyclic maximal subgroup of semidihedral group:SD16","Semidihedral group:SD16","Cyclic group:Z8","Cyclic group:Z2"
"Derived subgroup of M16",M16,"Cyclic group:Z2","Direct product of Z4 and Z2"
"Derived subgroup of nontrivial semidirect product of Z4 and Z4","Nontrivial semidirect product of Z4 and Z4","Cyclic group:Z2","Direct product of Z4 and Z2"
"Direct product of Z4 and Z2 in M16",M16,"Direct product of Z4 and Z2","Cyclic group:Z2"
"Klein four-subgroup of M16",M16,"Klein four-group","Cyclic group:Z4"
"Klein four-subgroup of alternating group:A4","Alternating group:A4","Klein four-group","Cyclic group:Z3"
"Klein four-subgroups of dihedral group:D8","Dihedral group:D8","Klein four-group","Cyclic group:Z2"
"Normal Klein four-subgroup of symmetric group:S4","Symmetric group:S4","Klein four-group","Symmetric group:S3"
"SL(2,3) in GL(2,3)","General linear group:GL(2,3)","Special linear group:SL(2,3)","Cyclic group:Z2"