Extensions 1→N→G→Q→1 with N=C₃×C₄²⋊₂C₂ and Q=C₃

Direct product G=N×Q with N=C₃×C₄²⋊₂C₂ and Q=C₃

		d	ρ	Label	ID
C₃²×C₄²⋊₂C₂		144		C3^2xC4^2:2C2	288,823

Semidirect products G=N:Q with N=C₃×C₄²⋊₂C₂ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄²⋊₂C₂)⋊C₃ = C₃×C₄²⋊C₆	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₄²⋊₂C₂	48	6	(C3xC4^2:2C2):C3	288,635

Non-split extensions G=N.Q with N=C₃×C₄²⋊₂C₂ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₄²⋊₂C₂).C₃ = C₄²⋊C₁₈	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₄²⋊₂C₂	72	6	(C3xC4^2:2C2).C3	288,74
(C₃×C₄²⋊₂C₂).₂C₃ = C₉×C₄²⋊₂C₂	φ: trivial image	144		(C3xC4^2:2C2).2C3	288,176

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Extensions 1→N→G→Q→1 with N=C3×C42⋊2C2 and Q=C3