Extensions 1→N→G→Q→1 with N=D₈ and Q=C₂³

Direct product G=NxQ with N=D₈ and Q=C₂³

		d	ρ	Label	ID
C₂³xD₈		64		C2^3xD8	128,2306

Semidirect products G=N:Q with N=D₈ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₈:₁C₂³ = C₂²xD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out D₈	64		D8:1C2^3	128,2140
D₈:₂C₂³ = C₂xC₁₆:C₂²	φ: C₂³/C₂² → C₂ ⊆ Out D₈	32		D8:2C2^3	128,2144
D₈:₃C₂³ = C₂²xC₈:C₂²	φ: C₂³/C₂² → C₂ ⊆ Out D₈	32		D8:3C2^3	128,2310
D₈:₄C₂³ = C₂xD₈:C₂²	φ: C₂³/C₂² → C₂ ⊆ Out D₈	32		D8:4C2^3	128,2312
D₈:₅C₂³ = C₂xD₄oSD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out D₈	32		D8:5C2^3	128,2314
D₈:₆C₂³ = D₈:C₂³	φ: C₂³/C₂² → C₂ ⊆ Out D₈	16	8+	D8:6C2^3	128,2317
D₈:₇C₂³ = C₂²xC₄oD₈	φ: trivial image	64		D8:7C2^3	128,2309
D₈:₈C₂³ = C₂xD₄oD₈	φ: trivial image	32		D8:8C2^3	128,2313

Non-split extensions G=N.Q with N=D₈ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.₁C₂³ = C₂²xSD₃₂	φ: C₂³/C₂² → C₂ ⊆ Out D₈	64		D8.1C2^3	128,2141
D₈.₂C₂³ = C₂xC₄oD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out D₈	64		D8.2C2^3	128,2143
D₈.₃C₂³ = C₂xQ₃₂:C₂	φ: C₂³/C₂² → C₂ ⊆ Out D₈	64		D8.3C2^3	128,2145
D₈.₄C₂³ = D₁₆:C₂²	φ: C₂³/C₂² → C₂ ⊆ Out D₈	32	4	D8.4C2^3	128,2146
D₈.₅C₂³ = D₄oD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out D₈	32	4+	D8.5C2^3	128,2147
D₈.₆C₂³ = D₄oSD₃₂	φ: C₂³/C₂² → C₂ ⊆ Out D₈	32	4	D8.6C2^3	128,2148
D₈.₇C₂³ = Q₈oD₁₆	φ: C₂³/C₂² → C₂ ⊆ Out D₈	64	4-	D8.7C2^3	128,2149
D₈.₈C₂³ = C₈.C₂⁴	φ: C₂³/C₂² → C₂ ⊆ Out D₈	32	4	D8.8C2^3	128,2316
D₈.₉C₂³ = C₄.C₂⁵	φ: C₂³/C₂² → C₂ ⊆ Out D₈	32	8-	D8.9C2^3	128,2318
D₈.₁₀C₂³ = C₂xQ₈oD₈	φ: trivial image	64		D8.10C2^3	128,2315

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