Extensions 1→N→G→Q→1 with N=C₃ and Q=D₄.Dic₃

Direct product G=N×Q with N=C₃ and Q=D₄.Dic₃

		d	ρ	Label	ID
C₃×D₄.Dic₃		48	4	C3xD4.Dic3	288,719

Semidirect products G=N:Q with N=C₃ and Q=D₄.Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₄.Dic₃) = D₁₂.₂Dic₃	φ: D₄.Dic₃/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	48	4	C3:1(D4.Dic3)	288,462
C₃⋊₂(D₄.Dic₃) = D₁₂.Dic₃	φ: D₄.Dic₃/C₄.Dic₃ → C₂ ⊆ Aut C₃	48	4	C3:2(D4.Dic3)	288,463
C₃⋊₃(D₄.Dic₃) = D₄.(C₃⋊Dic₃)	φ: D₄.Dic₃/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	144		C3:3(D4.Dic3)	288,805

Non-split extensions G=N.Q with N=C₃ and Q=D₄.Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₄.Dic₃) = D₄.Dic₉	φ: D₄.Dic₃/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	144	4	C3.(D4.Dic3)	288,158

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Extensions 1→N→G→Q→1 with N=C3 and Q=D4.Dic3