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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₆×D₅) = D₅×F₇	φ: C₆×D₅/D₅ → C₆ ⊆ Aut C₇	35	12+	C7:1(C6xD5)	420,16
C₇⋊₂(C₆×D₅) = C₂×C₅⋊F₇	φ: C₆×D₅/C₁₀ → C₆ ⊆ Aut C₇	70	6+	C7:2(C6xD5)	420,19
C₇⋊₃(C₆×D₅) = C₂×D₅×C₇⋊C₃	φ: C₆×D₅/D₁₀ → C₃ ⊆ Aut C₇	70	6	C7:3(C6xD5)	420,18
C₇⋊₄(C₆×D₅) = C₃×D₅×D₇	φ: C₆×D₅/C₃×D₅ → C₂ ⊆ Aut C₇	105	4	C7:4(C6xD5)	420,24
C₇⋊₅(C₆×D₅) = C₆×D₃₅	φ: C₆×D₅/C₃₀ → C₂ ⊆ Aut C₇	210	2	C7:5(C6xD5)	420,36

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