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	288,324

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₄.Q₈) = C₃×C₁₂.Q₈	φ: C₃×C₄.Q₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	96		C3:1(C3xC4.Q8)	288,242
C₃⋊₂(C₃×C₄.Q₈) = C₃×C₈⋊Dic₃	φ: C₃×C₄.Q₈/C₂×C₂₄ → C₂ ⊆ Aut C₃	96		C3:2(C3xC4.Q8)	288,251

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)	288,56

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