Extensions 1→N→G→Q→1 with N=C₃⋊S₃ and Q=Dic₃

Direct product G=N×Q with N=C₃⋊S₃ and Q=Dic₃

		d	ρ	Label	ID
Dic₃×C₃⋊S₃		72		Dic3xC3:S3	216,125

Semidirect products G=N:Q with N=C₃⋊S₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃⋊Dic₃ = C₆.S₃²	φ: Dic₃/C₂ → S₃ ⊆ Out C₃⋊S₃	36	6	C3:S3:Dic3	216,34
C₃⋊S₃⋊₂Dic₃ = C₃³⋊₉(C₂×C₄)	φ: Dic₃/C₆ → C₂ ⊆ Out C₃⋊S₃	24	4	C3:S3:2Dic3	216,131
C₃⋊S₃⋊₃Dic₃ = C₂×C₃³⋊C₄	φ: Dic₃/C₆ → C₂ ⊆ Out C₃⋊S₃	24	4	C3:S3:3Dic3	216,169

Non-split extensions G=N.Q with N=C₃⋊S₃ and Q=Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊S₃.Dic₃ = C₃⋊F₉	φ: Dic₃/C₃ → C₄ ⊆ Out C₃⋊S₃	24	8	C3:S3.Dic3	216,155

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Extensions 1→N→G→Q→1 with N=C3⋊S3 and Q=Dic3