Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂×C₂₈

Direct product G=N×Q with N=C₅ and Q=C₂×C₂₈

		d	ρ	Label	ID
C₂×C₁₄₀		280		C2xC140	280,29

Semidirect products G=N:Q with N=C₅ and Q=C₂×C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂×C₂₈) = C₁₄×F₅	φ: C₂×C₂₈/C₁₄ → C₄ ⊆ Aut C₅	70	4	C5:(C2xC28)	280,34
C₅⋊₂(C₂×C₂₈) = D₅×C₂₈	φ: C₂×C₂₈/C₂₈ → C₂ ⊆ Aut C₅	140	2	C5:2(C2xC28)	280,20
C₅⋊₃(C₂×C₂₈) = C₁₄×Dic₅	φ: C₂×C₂₈/C₂×C₁₄ → C₂ ⊆ Aut C₅	280		C5:3(C2xC28)	280,22

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