Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²×Dic₆

Direct product G=N×Q with N=C₃ and Q=C₂²×Dic₆

		d	ρ	Label	ID
C₂×C₆×Dic₆		96		C2xC6xDic6	288,988

Semidirect products G=N:Q with N=C₃ and Q=C₂²×Dic₆

extension	φ:Q→Aut N	d	Label	ID
C₃⋊₁(C₂²×Dic₆) = C₂×S₃×Dic₆	φ: C₂²×Dic₆/C₂×Dic₆ → C₂ ⊆ Aut C₃	96	C3:1(C2^2xDic6)	288,942
C₃⋊₂(C₂²×Dic₆) = C₂²×C₃²⋊₂Q₈	φ: C₂²×Dic₆/C₂²×Dic₃ → C₂ ⊆ Aut C₃	96	C3:2(C2^2xDic6)	288,975
C₃⋊₃(C₂²×Dic₆) = C₂²×C₃²⋊₄Q₈	φ: C₂²×Dic₆/C₂²×C₁₂ → C₂ ⊆ Aut C₃	288	C3:3(C2^2xDic6)	288,1003

Non-split extensions G=N.Q with N=C₃ and Q=C₂²×Dic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²×Dic₆) = C₂²×Dic₁₈	φ: C₂²×Dic₆/C₂²×C₁₂ → C₂ ⊆ Aut C₃	288		C3.(C2^2xDic6)	288,352

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Extensions 1→N→G→Q→1 with N=C3 and Q=C22×Dic6