Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₂²⋊Q₈

Direct product G=N×Q with N=C₃ and Q=C₃×C₂²⋊Q₈

		d	ρ	Label	ID
C₃²×C₂²⋊Q₈		144		C3^2xC2^2:Q8	288,819

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₂²⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₂²⋊Q₈) = C₃×Dic₃.D₄	φ: C₃×C₂²⋊Q₈/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₃	48		C3:1(C3xC2^2:Q8)	288,649
C₃⋊₂(C₃×C₂²⋊Q₈) = C₃×D₆⋊Q₈	φ: C₃×C₂²⋊Q₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	96		C3:2(C3xC2^2:Q8)	288,667
C₃⋊₃(C₃×C₂²⋊Q₈) = C₃×C₄.D₁₂	φ: C₃×C₂²⋊Q₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	96		C3:3(C3xC2^2:Q8)	288,668
C₃⋊₄(C₃×C₂²⋊Q₈) = C₃×C₁₂.₄₈D₄	φ: C₃×C₂²⋊Q₈/C₂²×C₁₂ → C₂ ⊆ Aut C₃	48		C3:4(C3xC2^2:Q8)	288,695
C₃⋊₅(C₃×C₂²⋊Q₈) = C₃×D₆⋊₃Q₈	φ: C₃×C₂²⋊Q₈/C₆×Q₈ → C₂ ⊆ Aut C₃	96		C3:5(C3xC2^2:Q8)	288,717

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₂²⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₂²⋊Q₈) = C₉×C₂²⋊Q₈	central extension (φ=1)	144		C3.(C3xC2^2:Q8)	288,172

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