Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄×C₇⋊C₃

Direct product G=N×Q with N=C₅ and Q=C₄×C₇⋊C₃

		d	ρ	Label	ID
C₂₀×C₇⋊C₃		140	3	C20xC7:C3	420,4

Semidirect products G=N:Q with N=C₅ and Q=C₄×C₇⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄×C₇⋊C₃) = F₅×C₇⋊C₃	φ: C₄×C₇⋊C₃/C₇⋊C₃ → C₄ ⊆ Aut C₅	35	12	C5:(C4xC7:C3)	420,14
C₅⋊₂(C₄×C₇⋊C₃) = Dic₅×C₇⋊C₃	φ: C₄×C₇⋊C₃/C₂×C₇⋊C₃ → C₂ ⊆ Aut C₅	140	6	C5:2(C4xC7:C3)	420,2

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