Extensions 1→N→G→Q→1 with N=C₃×A₄ and Q=Dic₃

Direct product G=N×Q with N=C₃×A₄ and Q=Dic₃

		d	ρ	Label	ID
C₃×Dic₃×A₄		36	6	C3xDic3xA4	432,624

Semidirect products G=N:Q with N=C₃×A₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄)⋊₁Dic₃ = C₆²⋊₆Dic₃	φ: Dic₃/C₂ → S₃ ⊆ Out C₃×A₄	36	3	(C3xA4):1Dic3	432,260
(C₃×A₄)⋊₂Dic₃ = C₆²⋊₄C₁₂	φ: Dic₃/C₂ → S₃ ⊆ Out C₃×A₄	36	6-	(C3xA4):2Dic3	432,272
(C₃×A₄)⋊₃Dic₃ = C₃×C₆.₇S₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×A₄	36	6	(C3xA4):3Dic3	432,618
(C₃×A₄)⋊₄Dic₃ = C₆²⋊₁₀Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×A₄	108		(C3xA4):4Dic3	432,621
(C₃×A₄)⋊₅Dic₃ = A₄×C₃⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×A₄	108		(C3xA4):5Dic3	432,627

Non-split extensions G=N.Q with N=C₃×A₄ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×A₄).Dic₃ = Dic₉⋊A₄	φ: Dic₃/C₂ → S₃ ⊆ Out C₃×A₄	108	6-	(C3xA4).Dic3	432,265
(C₃×A₄).₂Dic₃ = A₄⋊Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×A₄	108	6-	(C3xA4).2Dic3	432,254
(C₃×A₄).₃Dic₃ = A₄×Dic₉	φ: Dic₃/C₆ → C₂ ⊆ Out C₃×A₄	108	6-	(C3xA4).3Dic3	432,266

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