Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈○D₁₂

Direct product G=N×Q with N=C₃ and Q=Q₈○D₁₂

		d	ρ	Label	ID
C₃×Q₈○D₁₂		48	4	C3xQ8oD12	288,1000

Semidirect products G=N:Q with N=C₃ and Q=Q₈○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈○D₁₂) = D₁₂.₃₃D₆	φ: Q₈○D₁₂/C₂×Dic₆ → C₂ ⊆ Aut C₃	48	4	C3:1(Q8oD12)	288,945
C₃⋊₂(Q₈○D₁₂) = D₁₂.₃₄D₆	φ: Q₈○D₁₂/C₄○D₁₂ → C₂ ⊆ Aut C₃	48	4-	C3:2(Q8oD12)	288,946
C₃⋊₃(Q₈○D₁₂) = Dic₆.₂₄D₆	φ: Q₈○D₁₂/D₄⋊₂S₃ → C₂ ⊆ Aut C₃	48	8-	C3:3(Q8oD12)	288,957
C₃⋊₄(Q₈○D₁₂) = D₁₂.₂₅D₆	φ: Q₈○D₁₂/S₃×Q₈ → C₂ ⊆ Aut C₃	48	8-	C3:4(Q8oD12)	288,963
C₃⋊₅(Q₈○D₁₂) = C₃²⋊₉2_-¹⁺⁴	φ: Q₈○D₁₂/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	144		C3:5(Q8oD12)	288,1015

Non-split extensions G=N.Q with N=C₃ and Q=Q₈○D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈○D₁₂) = D₄.₁₀D₁₈	φ: Q₈○D₁₂/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	144	4-	C3.(Q8oD12)	288,364

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