Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅⋊D₁₂

Direct product G=N×Q with N=C₃ and Q=C₅⋊D₁₂

		d	ρ	Label	ID
C₃×C₅⋊D₁₂		120	4	C3xC5:D12	360,63

Semidirect products G=N:Q with N=C₃ and Q=C₅⋊D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₅⋊D₁₂) = C₁₅⋊D₁₂	φ: C₅⋊D₁₂/C₃×Dic₅ → C₂ ⊆ Aut C₃	180		C3:1(C5:D12)	360,70
C₃⋊₂(C₅⋊D₁₂) = D₆⋊₂D₁₅	φ: C₅⋊D₁₂/S₃×C₁₀ → C₂ ⊆ Aut C₃	60	4+	C3:2(C5:D12)	360,82
C₃⋊₃(C₅⋊D₁₂) = D₃₀⋊S₃	φ: C₅⋊D₁₂/D₃₀ → C₂ ⊆ Aut C₃	60	4	C3:3(C5:D12)	360,86

Non-split extensions G=N.Q with N=C₃ and Q=C₅⋊D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₅⋊D₁₂) = C₅⋊D₃₆	φ: C₅⋊D₁₂/C₃×Dic₅ → C₂ ⊆ Aut C₃	180	4+	C3.(C5:D12)	360,10

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Extensions 1→N→G→Q→1 with N=C3 and Q=C5⋊D12