C_n D_n S_n A_n ...

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

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

		d	ρ	Label	ID
C₂³×D₈		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 = C₂²×D₁₆	φ: C₂³/C₂² → C₂ ⊆ Out D₈	64		D8:1C2^3	128,2140
D₈⋊₂C₂³ = C₂×C₁₆⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Out D₈	32		D8:2C2^3	128,2144
D₈⋊₃C₂³ = C₂²×C₈⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Out D₈	32		D8:3C2^3	128,2310
D₈⋊₄C₂³ = C₂×D₈⋊C₂²	φ: C₂³/C₂² → C₂ ⊆ Out D₈	32		D8:4C2^3	128,2312
D₈⋊₅C₂³ = C₂×D₄○SD₁₆	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 = C₂²×C₄○D₈	φ: trivial image	64		D8:7C2^3	128,2309
D₈⋊₈C₂³ = C₂×D₄○D₈	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 = C₂²×SD₃₂	φ: C₂³/C₂² → C₂ ⊆ Out D₈	64		D8.1C2^3	128,2141
D₈.₂C₂³ = C₂×C₄○D₁₆	φ: C₂³/C₂² → C₂ ⊆ Out D₈	64		D8.2C2^3	128,2143
D₈.₃C₂³ = C₂×Q₃₂⋊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 = D₄○D₁₆	φ: C₂³/C₂² → C₂ ⊆ Out D₈	32	4+	D8.5C2^3	128,2147
D₈.₆C₂³ = Q₈○SD₃₂	φ: C₂³/C₂² → C₂ ⊆ Out D₈	32	4	D8.6C2^3	128,2148
D₈.₇C₂³ = D₄○Q₃₂	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 = C₂×Q₈○D₈	φ: trivial image	64		D8.10C2^3	128,2315

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