Extensions 1→N→G→Q→1 with N=C₃×C₄⋊₁D₄ and Q=C₃

Direct product G=N×Q with N=C₃×C₄⋊₁D₄ and Q=C₃

		d	ρ	Label	ID
C₃²×C₄⋊₁D₄		144		C3^2xC4:1D4	288,824

Semidirect products G=N:Q with N=C₃×C₄⋊₁D₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄⋊₁D₄)⋊C₃ = C₃×C₂³.A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₄⋊₁D₄	36	6	(C3xC4:1D4):C3	288,636

Non-split extensions G=N.Q with N=C₃×C₄⋊₁D₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄⋊₁D₄).C₃ = C₄²⋊₂C₁₈	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₄⋊₁D₄	36	6	(C3xC4:1D4).C3	288,75
(C₃×C₄⋊₁D₄).₂C₃ = C₉×C₄⋊₁D₄	φ: trivial image	144		(C3xC4:1D4).2C3	288,177

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Extensions 1→N→G→Q→1 with N=C3×C4⋊1D4 and Q=C3