Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=C₂

Direct product G=N×Q with N=C₄○D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₄○D₄		16		C2xC4oD4	32,48

Semidirect products G=N:Q with N=C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁C₂ = C₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₄	16	2	C4oD4:1C2	32,42
C₄○D₄⋊₂C₂ = C₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₄	8	4+	C4oD4:2C2	32,43
C₄○D₄⋊₃C₂ = 2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₄	8	4+	C4oD4:3C2	32,49
C₄○D₄⋊₄C₂ = 2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₄	16	4-	C4oD4:4C2	32,50

Non-split extensions G=N.Q with N=C₄○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁C₂ = C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₄	8	2	C4oD4.1C2	32,11
C₄○D₄.₂C₂ = C₈.C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₄	16	4-	C4oD4.2C2	32,44
C₄○D₄.₃C₂ = C₈○D₄	φ: trivial image	16	2	C4oD4.3C2	32,38

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