Extensions 1→N→G→Q→1 with N=C₇×D₅ and Q=C₆

Direct product G=N×Q with N=C₇×D₅ and Q=C₆

		d	ρ	Label	ID
D₅×C₄₂		210	2	D5xC42	420,35

Semidirect products G=N:Q with N=C₇×D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₅)⋊C₆ = D₅×F₇	φ: C₆/C₁ → C₆ ⊆ Out C₇×D₅	35	12+	(C7xD5):C6	420,16
(C₇×D₅)⋊₂C₆ = C₂×D₅×C₇⋊C₃	φ: C₆/C₂ → C₃ ⊆ Out C₇×D₅	70	6	(C7xD5):2C6	420,18
(C₇×D₅)⋊₃C₆ = C₃×D₅×D₇	φ: C₆/C₃ → C₂ ⊆ Out C₇×D₅	105	4	(C7xD5):3C6	420,24

Non-split extensions G=N.Q with N=C₇×D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₇×D₅).₁C₆ = C₃₅⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Out C₇×D₅	35	12	(C7xD5).1C6	420,15
(C₇×D₅).₂C₆ = F₅×C₇⋊C₃	φ: C₆/C₁ → C₆ ⊆ Out C₇×D₅	35	12	(C7xD5).2C6	420,14
(C₇×D₅).₃C₆ = C₃×C₇⋊F₅	φ: C₆/C₃ → C₂ ⊆ Out C₇×D₅	105	4	(C7xD5).3C6	420,21
(C₇×D₅).₄C₆ = F₅×C₂₁	φ: C₆/C₃ → C₂ ⊆ Out C₇×D₅	105	4	(C7xD5).4C6	420,20

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