Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=D₇

Direct product G=N×Q with N=C₄○D₄ and Q=D₇

		d	ρ	Label	ID
D₇×C₄○D₄		56	4	D7xC4oD4	224,184

Semidirect products G=N:Q with N=C₄○D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊₁D₇ = D₄⋊D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₄	56	4+	C4oD4:1D7	224,144
C₄○D₄⋊₂D₇ = D₄.₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₄	112	4	C4oD4:2D7	224,145
C₄○D₄⋊₃D₇ = D₄⋊₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₄	56	4+	C4oD4:3D7	224,185
C₄○D₄⋊₄D₇ = D₄.₁₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₄	112	4-	C4oD4:4D7	224,186

Non-split extensions G=N.Q with N=C₄○D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.₁D₇ = D₄⋊₂Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₄	56	4	C4oD4.1D7	224,43
C₄○D₄.₂D₇ = D₄.₉D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₄	112	4-	C4oD4.2D7	224,146
C₄○D₄.₃D₇ = Q₈.Dic₇	φ: trivial image	112	4	C4oD4.3D7	224,143

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