Extensions 1→N→G→Q→1 with N=D₁₆ and Q=C₄

Direct product G=N×Q with N=D₁₆ and Q=C₄

		d	ρ	Label	ID
C₄×D₁₆		64		C4xD16	128,904

Semidirect products G=N:Q with N=D₁₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₆⋊C₄ = D₁₆⋊C₄	φ: C₄/C₁ → C₄ ⊆ Out D₁₆	16	8+	D16:C4	128,913
D₁₆⋊₂C₄ = D₁₆⋊₂C₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₆	64		D16:2C4	128,147
D₁₆⋊₃C₄ = D₁₆⋊₃C₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₆	32	4	D16:3C4	128,150
D₁₆⋊₄C₄ = D₁₆⋊₄C₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₆	64		D16:4C4	128,909
D₁₆⋊₅C₄ = D₁₆⋊₅C₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₆	32	4	D16:5C4	128,911
D₁₆⋊₆C₄ = C₈○D₁₆	φ: trivial image	32	2	D16:6C4	128,910

Non-split extensions G=N.Q with N=D₁₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₆.₁C₄ = D₁₆.C₄	φ: C₄/C₂ → C₂ ⊆ Out D₁₆	64	2	D16.1C4	128,149
D₁₆.₂C₄ = M₆(2)⋊C₂	φ: C₄/C₂ → C₂ ⊆ Out D₁₆	32	4+	D16.2C4	128,151

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