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

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

		d	ρ	Label	ID
C₃²×C₄○D₄		72		C3^2xC4oD4	144,181

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄○D₄)⋊C₃ = C₃×C₄.A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₄○D₄	48	2	(C3xC4oD4):C3	144,157

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄○D₄).C₃ = Q₈.C₁₈	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₄○D₄	72	2	(C3xC4oD4).C3	144,36
(C₃×C₄○D₄).₂C₃ = C₉×C₄○D₄	φ: trivial image	72	2	(C3xC4oD4).2C3	144,50

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