Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×Q₃₂

Direct product G=N×Q with N=C₃ and Q=C₃×Q₃₂

		d	ρ	Label	ID
C₃²×Q₃₂		288		C3^2xQ32	288,331

Semidirect products G=N:Q with N=C₃ and Q=C₃×Q₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×Q₃₂) = C₃×Dic₂₄	φ: C₃×Q₃₂/C₄₈ → C₂ ⊆ Aut C₃	96	2	C3:1(C3xQ32)	288,235
C₃⋊₂(C₃×Q₃₂) = C₃×C₃⋊Q₃₂	φ: C₃×Q₃₂/C₃×Q₁₆ → C₂ ⊆ Aut C₃	96	4	C3:2(C3xQ32)	288,263

Non-split extensions G=N.Q with N=C₃ and Q=C₃×Q₃₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×Q₃₂) = C₉×Q₃₂	central extension (φ=1)	288	2	C3.(C3xQ32)	288,63

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Extensions 1→N→G→Q→1 with N=C3 and Q=C3×Q32