Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₄⋊Q₈

Direct product G=N×Q with N=C₃ and Q=C₃×C₄⋊Q₈

		d	ρ	Label	ID
C₃²×C₄⋊Q₈		288		C3^2xC4:Q8	288,825

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₄⋊Q₈

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₃×C₄⋊Q₈) = C₃×C₁₂⋊₂Q₈	φ: C₃×C₄⋊Q₈/C₄×C₁₂ → C₂ ⊆ Aut C₃	96	C3:1(C3xC4:Q8)	288,640
C₃⋊₂(C₃×C₄⋊Q₈) = C₃×C₁₂⋊Q₈	φ: C₃×C₄⋊Q₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	96	C3:2(C3xC4:Q8)	288,659
C₃⋊₃(C₃×C₄⋊Q₈) = C₃×Dic₃⋊Q₈	φ: C₃×C₄⋊Q₈/C₆×Q₈ → C₂ ⊆ Aut C₃	96	C3:3(C3xC4:Q8)	288,715

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₄⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₄⋊Q₈) = C₉×C₄⋊Q₈	central extension (φ=1)	288		C3.(C3xC4:Q8)	288,178

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C4⋊Q8