Extensions 1→N→G→Q→1 with N=Dic₇ and Q=C₁₀

Direct product G=N×Q with N=Dic₇ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×Dic₇		280		C10xDic7	280,17

Semidirect products G=N:Q with N=Dic₇ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇⋊C₁₀ = C₅×C₇⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₇	140	2	Dic7:C10	280,18
Dic₇⋊₂C₁₀ = D₇×C₂₀	φ: trivial image	140	2	Dic7:2C10	280,15

Non-split extensions G=N.Q with N=Dic₇ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.C₁₀ = C₅×Dic₁₄	φ: C₁₀/C₅ → C₂ ⊆ Out Dic₇	280	2	Dic7.C10	280,14

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Extensions 1→N→G→Q→1 with N=Dic7 and Q=C10