Extensions 1→N→G→Q→1 with N=C₁₆⋊C₄ and Q=C₂

Direct product G=N×Q with N=C₁₆⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₁₆⋊C₄		32		C2xC16:C4	128,841

Semidirect products G=N:Q with N=C₁₆⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₆⋊C₄⋊₁C₂ = Q₃₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₆⋊C₄	32	8-	C16:C4:1C2	128,912
C₁₆⋊C₄⋊₂C₂ = D₁₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₆⋊C₄	16	8+	C16:C4:2C2	128,913
C₁₆⋊C₄⋊₃C₂ = C₄.C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₁₆⋊C₄	16	8+	C16:C4:3C2	128,87
C₁₆⋊C₄⋊₄C₂ = C₈.₅M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₆⋊C₄	16	4	C16:C4:4C2	128,897
C₁₆⋊C₄⋊₅C₂ = C₈.₁₉M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₁₆⋊C₄	32	4	C16:C4:5C2	128,898
C₁₆⋊C₄⋊₆C₂ = C₈.₂₃C₄²	φ: trivial image	32	4	C16:C4:6C2	128,842

Non-split extensions G=N.Q with N=C₁₆⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₁₆⋊C₄.C₂ = C₄².(C₂×C₄)	φ: C₂/C₁ → C₂ ⊆ Out C₁₆⋊C₄	32	8-	C16:C4.C2	128,88

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