Extensions 1→N→G→Q→1 with N=C₂³⋊₂Q₈ and Q=C₂

Direct product G=N×Q with N=C₂³⋊₂Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂³⋊₂Q₈		32		C2xC2^3:2Q8	128,2188

Semidirect products G=N:Q with N=C₂³⋊₂Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊₂Q₈⋊₁C₂ = C₂³⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₂Q₈	16		C2^3:2Q8:1C2	128,328
C₂³⋊₂Q₈⋊₂C₂ = C₂⁴⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₂Q₈	16		C2^3:2Q8:2C2	128,761
C₂³⋊₂Q₈⋊₃C₂ = C₂⁴⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₂Q₈	16	8+	C2^3:2Q8:3C2	128,764
C₂³⋊₂Q₈⋊₄C₂ = C₂².₇₉C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₂Q₈	16		C2^3:2Q8:4C2	128,2222
C₂³⋊₂Q₈⋊₅C₂ = C₂².₈₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₂Q₈	32		C2^3:2Q8:5C2	128,2223
C₂³⋊₂Q₈⋊₆C₂ = C₂².₉₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₂Q₈	32		C2^3:2Q8:6C2	128,2233
C₂³⋊₂Q₈⋊₇C₂ = C₂².₁₂₄C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₂Q₈	32		C2^3:2Q8:7C2	128,2267
C₂³⋊₂Q₈⋊₈C₂ = C₂².₁₂₅C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₂Q₈	32		C2^3:2Q8:8C2	128,2268
C₂³⋊₂Q₈⋊₉C₂ = C₂².₁₅₀C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₂Q₈	32		C2^3:2Q8:9C2	128,2293
C₂³⋊₂Q₈⋊₁₀C₂ = C₂².₁₅₃C₂⁵	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₂Q₈	32		C2^3:2Q8:10C2	128,2296
C₂³⋊₂Q₈⋊₁₁C₂ = C₂².₄₈C₂⁵	φ: trivial image	32		C2^3:2Q8:11C2	128,2191

Non-split extensions G=N.Q with N=C₂³⋊₂Q₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂³⋊₂Q₈.₁C₂ = C₂³⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₂Q₈	32		C2^3:2Q8.1C2	128,334
C₂³⋊₂Q₈.₂C₂ = C₂⁴.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₂Q₈	32		C2^3:2Q8.2C2	128,340
C₂³⋊₂Q₈.₃C₂ = C₂⁴.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₂Q₈	32		C2^3:2Q8.3C2	128,346
C₂³⋊₂Q₈.₄C₂ = C₂⁴.₁₈₀C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₂Q₈	32		C2^3:2Q8.4C2	128,762
C₂³⋊₂Q₈.₅C₂ = C₂⁴.₁₈₂C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂³⋊₂Q₈	32		C2^3:2Q8.5C2	128,794
C₂³⋊₂Q₈.₆C₂ = C₂².₄₇C₂⁵	φ: trivial image	32		C2^3:2Q8.6C2	128,2190

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