Extensions 1→N→G→Q→1 with N=C₄.₁₀D₄ and Q=D₇

Direct product G=N×Q with N=C₄.₁₀D₄ and Q=D₇

		d	ρ	Label	ID
D₇×C₄.₁₀D₄		112	8-	D7xC4.10D4	448,284

Semidirect products G=N:Q with N=C₄.₁₀D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₀D₄⋊₁D₇ = D₂₈.₄D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₁₀D₄	112	8-	C4.10D4:1D7	448,286
C₄.₁₀D₄⋊₂D₇ = D₂₈.₅D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₁₀D₄	112	8+	C4.10D4:2D7	448,287
C₄.₁₀D₄⋊₃D₇ = D₂₈.₆D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₁₀D₄	112	8+	C4.10D4:3D7	448,288
C₄.₁₀D₄⋊₄D₇ = D₂₈.₇D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₁₀D₄	224	8-	C4.10D4:4D7	448,289
C₄.₁₀D₄⋊₅D₇ = (C₂×C₄).D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄.₁₀D₄	112	8+	C4.10D4:5D7	448,34
C₄.₁₀D₄⋊₆D₇ = M₄(2).₂₁D₁₄	φ: trivial image	112	8+	C4.10D4:6D7	448,285

Non-split extensions G=N.Q with N=C₄.₁₀D₄ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.₁₀D₄.D₇ = (C₂×Q₈).D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄.₁₀D₄	112	8-	C4.10D4.D7	448,35

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