Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈⋊₃S₃

Direct product G=N×Q with N=C₃ and Q=Q₈⋊₃S₃

		d	ρ	Label	ID
C₃×Q₈⋊₃S₃		48	4	C3xQ8:3S3	144,165

Semidirect products G=N:Q with N=C₃ and Q=Q₈⋊₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(Q₈⋊₃S₃) = D₆.₆D₆	φ: Q₈⋊₃S₃/C₄×S₃ → C₂ ⊆ Aut C₃	24	4+	C3:1(Q8:3S3)	144,142
C₃⋊₂(Q₈⋊₃S₃) = D₁₂⋊S₃	φ: Q₈⋊₃S₃/D₁₂ → C₂ ⊆ Aut C₃	24	4	C3:2(Q8:3S3)	144,139
C₃⋊₃(Q₈⋊₃S₃) = C₁₂.₂₆D₆	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₃	72		C3:3(Q8:3S3)	144,175

Non-split extensions G=N.Q with N=C₃ and Q=Q₈⋊₃S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈⋊₃S₃) = Q₈⋊₃D₉	φ: Q₈⋊₃S₃/C₃×Q₈ → C₂ ⊆ Aut C₃	72	4+	C3.(Q8:3S3)	144,44

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Extensions 1→N→G→Q→1 with N=C3 and Q=Q8⋊3S3