Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×C₂.D₈

Direct product G=N×Q with N=C₃ and Q=C₃×C₂.D₈

		d	ρ	Label	ID
C₃²×C₂.D₈		288		C3^2xC2.D8	288,325

Semidirect products G=N:Q with N=C₃ and Q=C₃×C₂.D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×C₂.D₈) = C₃×C₆.Q₁₆	φ: C₃×C₂.D₈/C₃×C₄⋊C₄ → C₂ ⊆ Aut C₃	96		C3:1(C3xC2.D8)	288,241
C₃⋊₂(C₃×C₂.D₈) = C₃×C₂₄⋊₁C₄	φ: C₃×C₂.D₈/C₂×C₂₄ → C₂ ⊆ Aut C₃	96		C3:2(C3xC2.D8)	288,252

Non-split extensions G=N.Q with N=C₃ and Q=C₃×C₂.D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₂.D₈) = C₉×C₂.D₈	central extension (φ=1)	288		C3.(C3xC2.D8)	288,57

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×C2.D8