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

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

		d	ρ	Label	ID
D₇×C₅²		175		D7xC5^2	350,5

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₅×D₇) = C₅×D₃₅	φ: C₅×D₇/C₃₅ → C₂ ⊆ Aut C₅	70	2	C5:(C5xD7)	350,7

Non-split extensions G=N.Q with N=C₅ and Q=C₅×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅.(C₅×D₇) = D₇×C₂₅	central extension (φ=1)	175	2	C5.(C5xD7)	350,2

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