Extensions 1→N→G→Q→1 with N=C₄○D₈ and Q=D₇

Direct product G=N×Q with N=C₄○D₈ and Q=D₇

		d	ρ	Label	ID
D₇×C₄○D₈		112	4	D7xC4oD8	448,1220

Semidirect products G=N:Q with N=C₄○D₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈⋊₁D₇ = C₅₆.₃₀C₂³	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₈	224	4	C4oD8:1D7	448,728
C₄○D₈⋊₂D₇ = Q₁₆⋊D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₈	112	4+	C4oD8:2D7	448,727
C₄○D₈⋊₃D₇ = D₈⋊₁₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₈	112	4	C4oD8:3D7	448,1221
C₄○D₈⋊₄D₇ = D₈⋊₁₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₈	112	4+	C4oD8:4D7	448,1222
C₄○D₈⋊₅D₇ = D₈⋊₁₁D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₈	112	4	C4oD8:5D7	448,1223
C₄○D₈⋊₆D₇ = D₈.₁₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₈	224	4-	C4oD8:6D7	448,1224

Non-split extensions G=N.Q with N=C₄○D₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₈.₁D₇ = C₂₈.₅₈D₈	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₈	224	4	C4oD8.1D7	448,124
C₄○D₈.₂D₇ = D₈⋊₂Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₈	112	4	C4oD8.2D7	448,123
C₄○D₈.₃D₇ = C₅₆.₃₁C₂³	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₈	224	4-	C4oD8.3D7	448,729
C₄○D₈.₄D₇ = D₈⋊₄Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₄○D₈	112	4	C4oD8.4D7	448,731
C₄○D₈.₅D₇ = D₈⋊₅Dic₇	φ: trivial image	112	4	C4oD8.5D7	448,730

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