Extensions 1→N→G→Q→1 with N=C₄○D₈ and Q=C₂

Direct product G=N×Q with N=C₄○D₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₄○D₈		32		C2xC4oD8	64,253

Semidirect products G=N:Q with N=C₄○D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈⋊₁C₂ = C₄○D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₈	32	2	C4oD8:1C2	64,189
C₄○D₈⋊₂C₂ = C₁₆⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₈	16	4+	C4oD8:2C2	64,190
C₄○D₈⋊₃C₂ = D₈⋊C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₈	16	4	C4oD8:3C2	64,256
C₄○D₈⋊₄C₂ = D₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₈	16	4+	C4oD8:4C2	64,257
C₄○D₈⋊₅C₂ = D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₈	16	4	C4oD8:5C2	64,258
C₄○D₈⋊₆C₂ = Q₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₈	32	4-	C4oD8:6C2	64,259

Non-split extensions G=N.Q with N=C₄○D₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈.₁C₂ = D₈.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₈	32	2	C4oD8.1C2	64,40
C₄○D₈.₂C₂ = D₈⋊₂C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₈	16	4	C4oD8.2C2	64,41
C₄○D₈.₃C₂ = C₈.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₈	16	4	C4oD8.3C2	64,125
C₄○D₈.₄C₂ = Q₃₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄○D₈	32	4-	C4oD8.4C2	64,191
C₄○D₈.₅C₂ = C₈○D₈	φ: trivial image	16	2	C4oD8.5C2	64,124

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