Extensions 1→N→G→Q→1 with N=Q₈⋊₃S₃ and Q=C₂

Direct product G=N×Q with N=Q₈⋊₃S₃ and Q=C₂

		d	ρ	Label	ID
C₂×Q₈⋊₃S₃		48		C2xQ8:3S3	96,213

Semidirect products G=N:Q with N=Q₈⋊₃S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₃S₃⋊₁C₂ = Q₈⋊₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₃S₃	24	4+	Q8:3S3:1C2	96,121
Q₈⋊₃S₃⋊₂C₂ = Q₈.₇D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₃S₃	48	4	Q8:3S3:2C2	96,123
Q₈⋊₃S₃⋊₃C₂ = D₂₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₃S₃	48	4+	Q8:3S3:3C2	96,126
Q₈⋊₃S₃⋊₄C₂ = Q₈.₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₃S₃	48	4	Q8:3S3:4C2	96,214
Q₈⋊₃S₃⋊₅C₂ = D₄○D₁₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₃S₃	24	4+	Q8:3S3:5C2	96,216
Q₈⋊₃S₃⋊₆C₂ = S₃×C₄○D₄	φ: trivial image	24	4	Q8:3S3:6C2	96,215

Non-split extensions G=N.Q with N=Q₈⋊₃S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₃S₃.C₂ = Q₁₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out Q₈⋊₃S₃	48	4	Q8:3S3.C2	96,125

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