Extensions 1→N→G→Q→1 with N=Dic₇ and Q=D₅

Direct product G=N×Q with N=Dic₇ and Q=D₅

		d	ρ	Label	ID
D₅×Dic₇		140	4-	D5xDic7	280,8

Semidirect products G=N:Q with N=Dic₇ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇⋊D₅ = C₇⋊D₂₀	φ: D₅/C₅ → C₂ ⊆ Out Dic₇	140	4+	Dic7:D5	280,12
Dic₇⋊₂D₅ = D₇₀.C₂	φ: trivial image	140	4+	Dic7:2D5	280,9

Non-split extensions G=N.Q with N=Dic₇ and Q=D₅

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.D₅ = C₃₅⋊Q₈	φ: D₅/C₅ → C₂ ⊆ Out Dic₇	280	4-	Dic7.D5	280,13

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Extensions 1→N→G→Q→1 with N=Dic7 and Q=D5