Extensions 1→N→G→Q→1 with N=D₄ and Q=C₂⁴

Direct product G=NxQ with N=D₄ and Q=C₂⁴

		d	ρ	Label	ID
D₄xC₂⁴		64		D4xC2^4	128,2320

Semidirect products G=N:Q with N=D₄ and Q=C₂⁴

extension	φ:Q→Out N	d	ρ	Label	ID
D₄:₁C₂⁴ = C₂³xD₈	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₄	64		D4:1C2^4	128,2306
D₄:₂C₂⁴ = C₂²xC₈:C₂²	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₄	32		D4:2C2^4	128,2310
D₄:₃C₂⁴ = C₂³xC₄oD₄	φ: trivial image	64		D4:3C2^4	128,2322
D₄:₄C₂⁴ = C₂²x2₊¹⁺⁴	φ: trivial image	32		D4:4C2^4	128,2323

Non-split extensions G=N.Q with N=D₄ and Q=C₂⁴

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.₁C₂⁴ = C₂³xSD₁₆	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₄	64		D4.1C2^4	128,2307
D₄.₂C₂⁴ = C₂²xC₄oD₈	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₄	64		D4.2C2^4	128,2309
D₄.₃C₂⁴ = C₂²xC₈.C₂²	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₄	64		D4.3C2^4	128,2311
D₄.₄C₂⁴ = C₂xD₈:C₂²	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₄	32		D4.4C2^4	128,2312
D₄.₅C₂⁴ = C₂xD₄oD₈	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₄	32		D4.5C2^4	128,2313
D₄.₆C₂⁴ = C₂xD₄oSD₁₆	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₄	32		D4.6C2^4	128,2314
D₄.₇C₂⁴ = C₂xQ₈oD₈	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₄	64		D4.7C2^4	128,2315
D₄.₈C₂⁴ = C₈.C₂⁴	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₄	32	4	D4.8C2^4	128,2316
D₄.₉C₂⁴ = D₈:C₂³	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₄	16	8+	D4.9C2^4	128,2317
D₄.₁₀C₂⁴ = C₄.C₂⁵	φ: C₂⁴/C₂³ → C₂ ⊆ Out D₄	32	8-	D4.10C2^4	128,2318
D₄.₁₁C₂⁴ = C₂²x2_-¹⁺⁴	φ: trivial image	64		D4.11C2^4	128,2324
D₄.₁₂C₂⁴ = C₂xC₂.C₂⁵	φ: trivial image	32		D4.12C2^4	128,2325
D₄.₁₃C₂⁴ = 2₊¹⁺⁶	φ: trivial image	16	8+	D4.13C2^4	128,2326
D₄.₁₄C₂⁴ = 2_-¹⁺⁶	φ: trivial image	32	8-	D4.14C2^4	128,2327

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