Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂³×Dic₃

Direct product G=N×Q with N=C₃ and Q=C₂³×Dic₃

		d	ρ	Label	ID
Dic₃×C₂²×C₆		96		Dic3xC2^2xC6	288,1001

Semidirect products G=N:Q with N=C₃ and Q=C₂³×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂³×Dic₃) = C₂²×S₃×Dic₃	φ: C₂³×Dic₃/C₂²×Dic₃ → C₂ ⊆ Aut C₃	96		C3:1(C2^3xDic3)	288,969
C₃⋊₂(C₂³×Dic₃) = C₂³×C₃⋊Dic₃	φ: C₂³×Dic₃/C₂³×C₆ → C₂ ⊆ Aut C₃	288		C3:2(C2^3xDic3)	288,1016

Non-split extensions G=N.Q with N=C₃ and Q=C₂³×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂³×Dic₃) = C₂³×Dic₉	φ: C₂³×Dic₃/C₂³×C₆ → C₂ ⊆ Aut C₃	288		C3.(C2^3xDic3)	288,365

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Extensions 1→N→G→Q→1 with N=C3 and Q=C23×Dic3