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
C₃×C₃⋊Q₃₂		96	4	C3xC3:Q32	288,263

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) = C₃²⋊₃Q₃₂	φ: C₃⋊Q₃₂/C₃⋊C₁₆ → C₂ ⊆ Aut C₃	96	4-	C3:1(C3:Q32)	288,199
C₃⋊₂(C₃⋊Q₃₂) = C₃²⋊₂Q₃₂	φ: C₃⋊Q₃₂/Dic₁₂ → C₂ ⊆ Aut C₃	96	4	C3:2(C3:Q32)	288,198
C₃⋊₃(C₃⋊Q₃₂) = C₃²⋊₇Q₃₂	φ: C₃⋊Q₃₂/C₃×Q₁₆ → C₂ ⊆ Aut C₃	288		C3:3(C3:Q32)	288,304

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	φ: C₃⋊Q₃₂/C₃×Q₁₆ → C₂ ⊆ Aut C₃	288	4-	C3.(C3:Q32)	288,36

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