Extensions 1→N→G→Q→1 with N=C₈○D₄ and Q=C₂

Direct product G=N×Q with N=C₈○D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₈○D₄		32		C2xC8oD4	64,248

Semidirect products G=N:Q with N=C₈○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄⋊₁C₂ = D₄.₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₄	16	4	C8oD4:1C2	64,152
C₈○D₄⋊₂C₂ = D₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₄	16	4+	C8oD4:2C2	64,153
C₈○D₄⋊₃C₂ = D₄○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₄	16	4+	C8oD4:3C2	64,257
C₈○D₄⋊₄C₂ = D₄○SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₄	16	4	C8oD4:4C2	64,258
C₈○D₄⋊₅C₂ = Q₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₄	32	4-	C8oD4:5C2	64,259
C₈○D₄⋊₆C₂ = C₈○D₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₄	16	2	C8oD4:6C2	64,124
C₈○D₄⋊₇C₂ = C₈.₂₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₄	16	4	C8oD4:7C2	64,125
C₈○D₄⋊₈C₂ = Q₈○M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₄	16	4	C8oD4:8C2	64,249

Non-split extensions G=N.Q with N=C₈○D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄.₁C₂ = D₄.₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₄	32	4-	C8oD4.1C2	64,154
C₈○D₄.₂C₂ = D₄.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₈○D₄	32	2	C8oD4.2C2	64,31
C₈○D₄.₃C₂ = D₄○C₁₆	φ: trivial image	32	2	C8oD4.3C2	64,185

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