Extensions 1→N→G→Q→1 with N=C₁₀×D₇ and Q=C₂

Direct product G=N×Q with N=C₁₀×D₇ and Q=C₂

		d	ρ	Label	ID
D₇×C₂×C₁₀		140		D7xC2xC10	280,37

Semidirect products G=N:Q with N=C₁₀×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×D₇)⋊₁C₂ = C₃₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₇	140	4-	(C10xD7):1C2	280,10
(C₁₀×D₇)⋊₂C₂ = C₅⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₇	140	4+	(C10xD7):2C2	280,11
(C₁₀×D₇)⋊₃C₂ = C₂×D₅×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₇	70	4+	(C10xD7):3C2	280,36
(C₁₀×D₇)⋊₄C₂ = C₅×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₇	140	2	(C10xD7):4C2	280,16
(C₁₀×D₇)⋊₅C₂ = C₅×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₇	140	2	(C10xD7):5C2	280,18

Non-split extensions G=N.Q with N=C₁₀×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₀×D₇).C₂ = D₇×Dic₅	φ: C₂/C₁ → C₂ ⊆ Out C₁₀×D₇	140	4-	(C10xD7).C2	280,7
(C₁₀×D₇).₂C₂ = D₇×C₂₀	φ: trivial image	140	2	(C10xD7).2C2	280,15

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