Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄⋊D₁₂

Direct product G=N×Q with N=C₃ and Q=C₄⋊D₁₂

		d	ρ	Label	ID
C₃×C₄⋊D₁₂		96		C3xC4:D12	288,645

Semidirect products G=N:Q with N=C₃ and Q=C₄⋊D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₄⋊D₁₂) = C₁₂⋊₄D₁₂	φ: C₄⋊D₁₂/C₄×C₁₂ → C₂ ⊆ Aut C₃	144		C3:1(C4:D12)	288,731
C₃⋊₂(C₄⋊D₁₂) = C₁₂⋊D₁₂	φ: C₄⋊D₁₂/C₂×D₁₂ → C₂ ⊆ Aut C₃	48		C3:2(C4:D12)	288,559

Non-split extensions G=N.Q with N=C₃ and Q=C₄⋊D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄⋊D₁₂) = C₄²⋊₆D₉	φ: C₄⋊D₁₂/C₄×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(C4:D12)	288,84

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Extensions 1→N→G→Q→1 with N=C3 and Q=C4⋊D12