Extensions 1→N→G→Q→1 with N=C₁₆⋊C₂² and Q=C₂

Direct product G=N×Q with N=C₁₆⋊C₂² and Q=C₂

		d	ρ	Label	ID
C₂×C₁₆⋊C₂²		32		C2xC16:C2^2	128,2144

Semidirect products G=N:Q with N=C₁₆⋊C₂² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₆⋊C₂²⋊₁C₂ = D₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₆⋊C₂²	16	8+	C16:C2^2:1C2	128,922
C₁₆⋊C₂²⋊₂C₂ = Q₁₆.₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₆⋊C₂²	32	4+	C16:C2^2:2C2	128,924
C₁₆⋊C₂²⋊₃C₂ = Q₁₆.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₆⋊C₂²	32	4	C16:C2^2:3C2	128,925
C₁₆⋊C₂²⋊₄C₂ = D₈⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₆⋊C₂²	16	4+	C16:C2^2:4C2	128,945
C₁₆⋊C₂²⋊₅C₂ = D₄○D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₁₆⋊C₂²	32	4+	C16:C2^2:5C2	128,2147
C₁₆⋊C₂²⋊₆C₂ = D₄○SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₆⋊C₂²	32	4	C16:C2^2:6C2	128,2148
C₁₆⋊C₂²⋊₇C₂ = D₁₆⋊C₂²	φ: trivial image	32	4	C16:C2^2:7C2	128,2146

Non-split extensions G=N.Q with N=C₁₆⋊C₂² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₆⋊C₂².₁C₂ = D₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₆⋊C₂²	16	8+	C16:C2^2.1C2	128,913
C₁₆⋊C₂².₂C₂ = C₈.₃D₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₆⋊C₂²	32	4	C16:C2^2.2C2	128,944

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