Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×F₇

Direct product G=N×Q with N=C₅ and Q=C₂×F₇

		d	ρ	Label	ID
C₁₀×F₇		70	6	C10xF7	420,17

Semidirect products G=N:Q with N=C₅ and Q=C₂×F₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂×F₇) = D₅×F₇	φ: C₂×F₇/F₇ → C₂ ⊆ Aut C₅	35	12+	C5:1(C2xF7)	420,16
C₅⋊₂(C₂×F₇) = C₂×C₅⋊F₇	φ: C₂×F₇/C₂×C₇⋊C₃ → C₂ ⊆ Aut C₅	70	6+	C5:2(C2xF7)	420,19

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