Extensions 1→N→G→Q→1 with N=C₈○D₄ and Q=D₇

Direct product G=N×Q with N=C₈○D₄ and Q=D₇

		d	ρ	Label	ID
D₇×C₈○D₄		112	4	D7xC8oD4	448,1202

Semidirect products G=N:Q with N=C₈○D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄⋊₁D₇ = D₄.₃D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₈○D₄	112	4	C8oD4:1D7	448,675
C₈○D₄⋊₂D₇ = D₄.₄D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₈○D₄	112	4+	C8oD4:2D7	448,676
C₈○D₄⋊₃D₇ = D₄.₁₁D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₈○D₄	112	4	C8oD4:3D7	448,1204
C₈○D₄⋊₄D₇ = D₄.₁₂D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₈○D₄	112	4+	C8oD4:4D7	448,1205
C₈○D₄⋊₅D₇ = D₄.₁₃D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₈○D₄	224	4-	C8oD4:5D7	448,1206
C₈○D₄⋊₆D₇ = C₅₆.₉₃D₄	φ: D₇/C₇ → C₂ ⊆ Out C₈○D₄	112	4	C8oD4:6D7	448,678
C₈○D₄⋊₇D₇ = C₅₆.₅₀D₄	φ: D₇/C₇ → C₂ ⊆ Out C₈○D₄	112	4	C8oD4:7D7	448,679
C₈○D₄⋊₈D₇ = C₅₆.₄₉C₂³	φ: D₇/C₇ → C₂ ⊆ Out C₈○D₄	112	4	C8oD4:8D7	448,1203

Non-split extensions G=N.Q with N=C₈○D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₈○D₄.₁D₇ = D₄.₅D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₈○D₄	224	4-	C8oD4.1D7	448,677
C₈○D₄.₂D₇ = C₅₆.₉₂D₄	φ: D₇/C₇ → C₂ ⊆ Out C₈○D₄	224	4	C8oD4.2D7	448,118
C₈○D₄.₃D₇ = C₅₆.₇₀C₂³	φ: trivial image	224	4	C8oD4.3D7	448,674

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