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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₈○D₄) = C₃×C₈○D₁₂	φ: C₃×C₈○D₄/C₂×C₂₄ → C₂ ⊆ Aut C₃	48	2	C3:1(C3xC8oD4)	288,672
C₃⋊₂(C₃×C₈○D₄) = C₃×D₁₂.C₄	φ: C₃×C₈○D₄/C₃×M₄(2) → C₂ ⊆ Aut C₃	48	4	C3:2(C3xC8oD4)	288,678
C₃⋊₃(C₃×C₈○D₄) = C₃×D₄.Dic₃	φ: C₃×C₈○D₄/C₃×C₄○D₄ → C₂ ⊆ Aut C₃	48	4	C3:3(C3xC8oD4)	288,719

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₈○D₄) = C₉×C₈○D₄	central extension (φ=1)	144	2	C3.(C3xC8oD4)	288,181

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