Extensions 1→N→G→Q→1 with N=C₃ and Q=D₈⋊₃S₃

Direct product G=N×Q with N=C₃ and Q=D₈⋊₃S₃

		d	ρ	Label	ID
C₃×D₈⋊₃S₃		48	4	C3xD8:3S3	288,683

Semidirect products G=N:Q with N=C₃ and Q=D₈⋊₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₈⋊₃S₃) = D₂₄⋊₇S₃	φ: D₈⋊₃S₃/S₃×C₈ → C₂ ⊆ Aut C₃	96	4-	C3:1(D8:3S3)	288,455
C₃⋊₂(D₈⋊₃S₃) = D₂₄⋊₅S₃	φ: D₈⋊₃S₃/Dic₁₂ → C₂ ⊆ Aut C₃	48	4	C3:2(D8:3S3)	288,458
C₃⋊₃(D₈⋊₃S₃) = D₁₂.₈D₆	φ: D₈⋊₃S₃/D₄.S₃ → C₂ ⊆ Aut C₃	48	8-	C3:3(D8:3S3)	288,584
C₃⋊₄(D₈⋊₃S₃) = C₂₄.₂₆D₆	φ: D₈⋊₃S₃/C₃×D₈ → C₂ ⊆ Aut C₃	144		C3:4(D8:3S3)	288,769
C₃⋊₅(D₈⋊₃S₃) = D₁₂.₂₂D₆	φ: D₈⋊₃S₃/D₄⋊₂S₃ → C₂ ⊆ Aut C₃	48	8-	C3:5(D8:3S3)	288,581

Non-split extensions G=N.Q with N=C₃ and Q=D₈⋊₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₈⋊₃S₃) = D₈⋊₃D₉	φ: D₈⋊₃S₃/C₃×D₈ → C₂ ⊆ Aut C₃	144	4-	C3.(D8:3S3)	288,122

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