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		C3xD4xDic3	288,705

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) = Dic₃×D₁₂	φ: D₄×Dic₃/C₄×Dic₃ → C₂ ⊆ Aut C₃	96		C3:1(D4xDic3)	288,540
C₃⋊₂(D₄×Dic₃) = D₁₂⋊Dic₃	φ: D₄×Dic₃/C₄⋊Dic₃ → C₂ ⊆ Aut C₃	96		C3:2(D4xDic3)	288,546
C₃⋊₃(D₄×Dic₃) = C₆².₁₁₅C₂³	φ: D₄×Dic₃/C₆.D₄ → C₂ ⊆ Aut C₃	48		C3:3(D4xDic3)	288,621
C₃⋊₄(D₄×Dic₃) = Dic₃×C₃⋊D₄	φ: D₄×Dic₃/C₂²×Dic₃ → C₂ ⊆ Aut C₃	48		C3:4(D4xDic3)	288,620
C₃⋊₅(D₄×Dic₃) = D₄×C₃⋊Dic₃	φ: D₄×Dic₃/C₆×D₄ → C₂ ⊆ Aut C₃	144		C3:5(D4xDic3)	288,791

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/C₆×D₄ → C₂ ⊆ Aut C₃	144		C3.(D4xDic3)	288,144

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