Extensions 1→N→G→Q→1 with N=C₄oD₄ and Q=D₇

Direct product G=NxQ with N=C₄oD₄ and Q=D₇

		d	ρ	Label	ID
D₇xC₄oD₄		56	4	D7xC4oD4	224,184

Semidirect products G=N:Q with N=C₄oD₄ and Q=D₇

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

Non-split extensions G=N.Q with N=C₄oD₄ and Q=D₇

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

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