Extensions 1→N→G→Q→1 with N=C9 and Q=C13⋊C3

Direct product G=N×Q with N=C9 and Q=C13⋊C3
dρLabelID
C9×C13⋊C31173C9xC13:C3351,3

Semidirect products G=N:Q with N=C9 and Q=C13⋊C3
extensionφ:Q→Aut NdρLabelID
C91(C13⋊C3) = C117⋊C3φ: C13⋊C3/C13C3 ⊆ Aut C91173C9:1(C13:C3)351,4
C92(C13⋊C3) = C1173C3φ: C13⋊C3/C13C3 ⊆ Aut C91173C9:2(C13:C3)351,5

Non-split extensions G=N.Q with N=C9 and Q=C13⋊C3
extensionφ:Q→Aut NdρLabelID
C9.(C13⋊C3) = C13⋊C27central extension (φ=1)3513C9.(C13:C3)351,1

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