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

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

		d	ρ	Label	ID
Q₈×C₃⋊S₃		72		Q8xC3:S3	144,174

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊(C₃⋊S₃) = C₆.₆S₄	φ: C₃⋊S₃/C₃ → S₃ ⊆ Out Q₈	24	4+	Q8:(C3:S3)	144,125
Q₈⋊₂(C₃⋊S₃) = C₃²⋊₁₁SD₁₆	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out Q₈	72		Q8:2(C3:S3)	144,98
Q₈⋊₃(C₃⋊S₃) = C₁₂.₂₆D₆	φ: trivial image	72		Q8:3(C3:S3)	144,175

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.(C₃⋊S₃) = C₆.₅S₄	φ: C₃⋊S₃/C₃ → S₃ ⊆ Out Q₈	48	4-	Q8.(C3:S3)	144,124
Q₈.₂(C₃⋊S₃) = C₃²⋊₇Q₁₆	φ: C₃⋊S₃/C₃² → C₂ ⊆ Out Q₈	144		Q8.2(C3:S3)	144,99

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