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
C₁₂×D₁₂		96		C12xD12	288,644

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) = Dic₃⋊₅D₁₂	φ: C₄×D₁₂/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(C4xD12)	288,542
C₃⋊₂(C₄×D₁₂) = Dic₃⋊₄D₁₂	φ: C₄×D₁₂/D₆⋊C₄ → C₂ ⊆ Aut C₃	48		C3:2(C4xD12)	288,528
C₃⋊₃(C₄×D₁₂) = C₄×C₁₂⋊S₃	φ: C₄×D₁₂/C₄×C₁₂ → C₂ ⊆ Aut C₃	144		C3:3(C4xD12)	288,730
C₃⋊₄(C₄×D₁₂) = C₄×C₃⋊D₁₂	φ: C₄×D₁₂/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	48		C3:4(C4xD12)	288,551
C₃⋊₅(C₄×D₁₂) = Dic₃×D₁₂	φ: C₄×D₁₂/C₂×D₁₂ → C₂ ⊆ Aut C₃	96		C3:5(C4xD12)	288,540

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) = C₄×D₃₆	φ: C₄×D₁₂/C₄×C₁₂ → C₂ ⊆ Aut C₃	144		C3.(C4xD12)	288,83

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