Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂³

Direct product G=N×Q with N=Q₈ and Q=C₂³

		d	ρ	Label	ID
Q₈×C₂³		64		Q8xC2^3	64,262

Semidirect products G=N:Q with N=Q₈ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₁C₂³ = C₂²×SD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out Q₈	32		Q8:1C2^3	64,251
Q₈⋊₂C₂³ = C₂×C₈⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Out Q₈	16		Q8:2C2^3	64,254
Q₈⋊₃C₂³ = C₂²×C₄○D₄	φ: trivial image	32		Q8:3C2^3	64,263
Q₈⋊₄C₂³ = C₂×2₊¹⁺⁴	φ: trivial image	16		Q8:4C2^3	64,264

Non-split extensions G=N.Q with N=Q₈ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁C₂³ = C₂²×Q₁₆	φ: C₂³/C₂² → C₂ ⊆ Out Q₈	64		Q8.1C2^3	64,252
Q₈.₂C₂³ = C₂×C₄○D₈	φ: C₂³/C₂² → C₂ ⊆ Out Q₈	32		Q8.2C2^3	64,253
Q₈.₃C₂³ = C₂×C₈.C₂²	φ: C₂³/C₂² → C₂ ⊆ Out Q₈	32		Q8.3C2^3	64,255
Q₈.₄C₂³ = D₈⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Out Q₈	16	4	Q8.4C2^3	64,256
Q₈.₅C₂³ = D₄○D₈	φ: C₂³/C₂² → C₂ ⊆ Out Q₈	16	4+	Q8.5C2^3	64,257
Q₈.₆C₂³ = D₄○SD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out Q₈	16	4	Q8.6C2^3	64,258
Q₈.₇C₂³ = Q₈○D₈	φ: C₂³/C₂² → C₂ ⊆ Out Q₈	32	4-	Q8.7C2^3	64,259
Q₈.₈C₂³ = C₂×2_-¹⁺⁴	φ: trivial image	32		Q8.8C2^3	64,265
Q₈.₉C₂³ = C₂.C₂⁵	φ: trivial image	16	4	Q8.9C2^3	64,266

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