Extensions 1→N→G→Q→1 with N=C₅ and Q=C₆×D₇

Direct product G=N×Q with N=C₅ and Q=C₆×D₇

		d	ρ	Label	ID
D₇×C₃₀		210	2	D7xC30	420,34

Semidirect products G=N:Q with N=C₅ and Q=C₆×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₆×D₇) = C₃×D₅×D₇	φ: C₆×D₇/C₃×D₇ → C₂ ⊆ Aut C₅	105	4	C5:1(C6xD7)	420,24
C₅⋊₂(C₆×D₇) = C₆×D₃₅	φ: C₆×D₇/C₄₂ → C₂ ⊆ Aut C₅	210	2	C5:2(C6xD7)	420,36

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