Extensions 1→N→G→Q→1 with N=Q₈ and Q=C₂⁴

Direct product G=NxQ with N=Q₈ and Q=C₂⁴

		d	ρ	Label	ID
Q₈xC₂⁴		128		Q8xC2^4	128,2321

Semidirect products G=N:Q with N=Q₈ and Q=C₂⁴

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈:₁C₂⁴ = C₂³xSD₁₆	φ: C₂⁴/C₂³ → C₂ ⊆ Out Q₈	64		Q8:1C2^4	128,2307
Q₈:₂C₂⁴ = C₂²xC₈:C₂²	φ: C₂⁴/C₂³ → C₂ ⊆ Out Q₈	32		Q8:2C2^4	128,2310
Q₈:₃C₂⁴ = C₂³xC₄oD₄	φ: trivial image	64		Q8:3C2^4	128,2322
Q₈:₄C₂⁴ = C₂²x2₊¹⁺⁴	φ: trivial image	32		Q8:4C2^4	128,2323

Non-split extensions G=N.Q with N=Q₈ and Q=C₂⁴

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.₁C₂⁴ = C₂³xQ₁₆	φ: C₂⁴/C₂³ → C₂ ⊆ Out Q₈	128		Q8.1C2^4	128,2308
Q₈.₂C₂⁴ = C₂²xC₄oD₈	φ: C₂⁴/C₂³ → C₂ ⊆ Out Q₈	64		Q8.2C2^4	128,2309
Q₈.₃C₂⁴ = C₂²xC₈.C₂²	φ: C₂⁴/C₂³ → C₂ ⊆ Out Q₈	64		Q8.3C2^4	128,2311
Q₈.₄C₂⁴ = C₂xD₈:C₂²	φ: C₂⁴/C₂³ → C₂ ⊆ Out Q₈	32		Q8.4C2^4	128,2312
Q₈.₅C₂⁴ = C₂xD₄oD₈	φ: C₂⁴/C₂³ → C₂ ⊆ Out Q₈	32		Q8.5C2^4	128,2313
Q₈.₆C₂⁴ = C₂xD₄oSD₁₆	φ: C₂⁴/C₂³ → C₂ ⊆ Out Q₈	32		Q8.6C2^4	128,2314
Q₈.₇C₂⁴ = C₂xQ₈oD₈	φ: C₂⁴/C₂³ → C₂ ⊆ Out Q₈	64		Q8.7C2^4	128,2315
Q₈.₈C₂⁴ = C₈.C₂⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out Q₈	32	4	Q8.8C2^4	128,2316
Q₈.₉C₂⁴ = D₈:C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Out Q₈	16	8+	Q8.9C2^4	128,2317
Q₈.₁₀C₂⁴ = C₄.C₂⁵	φ: C₂⁴/C₂³ → C₂ ⊆ Out Q₈	32	8-	Q8.10C2^4	128,2318
Q₈.₁₁C₂⁴ = C₂²x2_-¹⁺⁴	φ: trivial image	64		Q8.11C2^4	128,2324
Q₈.₁₂C₂⁴ = C₂xC₂.C₂⁵	φ: trivial image	32		Q8.12C2^4	128,2325
Q₈.₁₃C₂⁴ = 2₊¹⁺⁶	φ: trivial image	16	8+	Q8.13C2^4	128,2326
Q₈.₁₄C₂⁴ = 2_-¹⁺⁶	φ: trivial image	32	8-	Q8.14C2^4	128,2327

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