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
C₁₅×D₁₂		120	2	C15xD12	360,97

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) = C₅×C₁₂⋊S₃	φ: C₅×D₁₂/C₆₀ → C₂ ⊆ Aut C₃	180		C3:1(C5xD12)	360,107
C₃⋊₂(C₅×D₁₂) = C₅×C₃⋊D₁₂	φ: C₅×D₁₂/S₃×C₁₀ → C₂ ⊆ Aut C₃	60	4	C3:2(C5xD12)	360,75

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/C₆₀ → C₂ ⊆ Aut C₃	180	2	C3.(C5xD12)	360,22

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