Extensions 1→N→G→Q→1 with N=D₄○C₁₆ and Q=C₂

Direct product G=N×Q with N=D₄○C₁₆ and Q=C₂

		d	ρ	Label	ID
C₂×D₄○C₁₆		64		C2xD4oC16	128,2138

Semidirect products G=N:Q with N=D₄○C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄○C₁₆⋊₁C₂ = D₄.₃D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄○C₁₆	32	4+	D4oC16:1C2	128,953
D₄○C₁₆⋊₂C₂ = D₄.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄○C₁₆	32	4	D4oC16:2C2	128,955
D₄○C₁₆⋊₃C₂ = D₄○D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄○C₁₆	32	4+	D4oC16:3C2	128,2147
D₄○C₁₆⋊₄C₂ = D₄○SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₄○C₁₆	32	4	D4oC16:4C2	128,2148
D₄○C₁₆⋊₅C₂ = Q₈○D₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄○C₁₆	64	4-	D4oC16:5C2	128,2149
D₄○C₁₆⋊₆C₂ = C₁₆○D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄○C₁₆	32	2	D4oC16:6C2	128,902
D₄○C₁₆⋊₇C₂ = D₈.C₈	φ: C₂/C₁ → C₂ ⊆ Out D₄○C₁₆	32	4	D4oC16:7C2	128,903
D₄○C₁₆⋊₈C₂ = Q₈○M₅(2)	φ: C₂/C₁ → C₂ ⊆ Out D₄○C₁₆	32	4	D4oC16:8C2	128,2139

Non-split extensions G=N.Q with N=D₄○C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₄○C₁₆.₁C₂ = D₄.₄D₈	φ: C₂/C₁ → C₂ ⊆ Out D₄○C₁₆	64	4-	D4oC16.1C2	128,954
D₄○C₁₆.₂C₂ = D₄.C₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₄○C₁₆	64	2	D4oC16.2C2	128,133
D₄○C₁₆.₃C₂ = D₄○C₃₂	φ: trivial image	64	2	D4oC16.3C2	128,990

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