Extensions 1→N→G→Q→1 with N=D₁₀ and Q=D₇

Direct product G=N×Q with N=D₁₀ and Q=D₇

		d	ρ	Label	ID
C₂×D₅×D₇		70	4+	C2xD5xD7	280,36

Semidirect products G=N:Q with N=D₁₀ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁D₇ = C₃₅⋊D₄	φ: D₇/C₇ → C₂ ⊆ Out D₁₀	140	4-	D10:1D7	280,10
D₁₀⋊₂D₇ = C₇⋊D₂₀	φ: D₇/C₇ → C₂ ⊆ Out D₁₀	140	4+	D10:2D7	280,12

Non-split extensions G=N.Q with N=D₁₀ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.D₇ = C₂×C₇⋊F₅	φ: D₇/C₇ → C₂ ⊆ Out D₁₀	70	4	D10.D7	280,35
D₁₀.₂D₇ = D₅×Dic₇	φ: trivial image	140	4-	D10.2D7	280,8

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Extensions 1→N→G→Q→1 with N=D10 and Q=D7