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

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

		d	ρ	Label	ID
C₄×C₄○D₄		32		C4xC4oD4	64,198

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁C₄ = C₂³.₂₄D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₄	32		C4oD4:1C4	64,97
C₄○D₄⋊₂C₄ = C₂³.₃₆D₄	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₄	32		C4oD4:2C4	64,98
C₄○D₄⋊₃C₄ = C₂×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₄	16		C4oD4:3C4	64,101
C₄○D₄⋊₄C₄ = C₄²⋊C₂²	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₄	16	4	C4oD4:4C4	64,102
C₄○D₄⋊₅C₄ = C₂³.₃₃C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₄	32		C4oD4:5C4	64,201

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁C₄ = D₄.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₄	32	2	C4oD4.1C4	64,31
C₄○D₄.₂C₄ = Q₈○M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₄○D₄	16	4	C4oD4.2C4	64,249
C₄○D₄.₃C₄ = D₄○C₁₆	φ: trivial image	32	2	C4oD4.3C4	64,185
C₄○D₄.₄C₄ = C₂×C₈○D₄	φ: trivial image	32		C4oD4.4C4	64,248

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