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	288,668

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) = C₆².₆₅C₂³	φ: C₄.D₁₂/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	48		C3:1(C4.D12)	288,543
C₃⋊₂(C₄.D₁₂) = D₆⋊₂Dic₆	φ: C₄.D₁₂/D₆⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C4.D12)	288,541
C₃⋊₃(C₄.D₁₂) = C₁₂.₃₁D₁₂	φ: C₄.D₁₂/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	144		C3:3(C4.D12)	288,754
C₃⋊₄(C₄.D₁₂) = C₁₂.₃₀D₁₂	φ: C₄.D₁₂/C₂×Dic₆ → C₂ ⊆ Aut C₃	48		C3:4(C4.D12)	288,519
C₃⋊₅(C₄.D₁₂) = D₆⋊₇Dic₆	φ: C₄.D₁₂/S₃×C₂×C₄ → C₂ ⊆ Aut C₃	96		C3:5(C4.D12)	288,505

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) = D₁₈⋊₂Q₈	φ: C₄.D₁₂/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	144		C3.(C4.D12)	288,107

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