Extensions 1→N→G→Q→1 with N=C₃×C₈○D₄ and Q=C₃

Direct product G=N×Q with N=C₃×C₈○D₄ and Q=C₃

		d	ρ	Label	ID
C₃²×C₈○D₄		144		C3^2xC8oD4	288,828

Semidirect products G=N:Q with N=C₃×C₈○D₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₈○D₄)⋊C₃ = C₃×C₈.A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₈○D₄	96	2	(C3xC8oD4):C3	288,638

Non-split extensions G=N.Q with N=C₃×C₈○D₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₈○D₄).C₃ = Q₈.C₃₆	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₈○D₄	144	2	(C3xC8oD4).C3	288,77
(C₃×C₈○D₄).₂C₃ = C₉×C₈○D₄	φ: trivial image	144	2	(C3xC8oD4).2C3	288,181

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Extensions 1→N→G→Q→1 with N=C3×C8○D4 and Q=C3