Extensions 1→N→G→Q→1 with N=C₅ and Q=C₇⋊D₄

Direct product G=N×Q with N=C₅ and Q=C₇⋊D₄

		d	ρ	Label	ID
C₅×C₇⋊D₄		140	2	C5xC7:D4	280,18

Semidirect products G=N:Q with N=C₅ and Q=C₇⋊D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₇⋊D₄) = C₇⋊D₂₀	φ: C₇⋊D₄/Dic₇ → C₂ ⊆ Aut C₅	140	4+	C5:1(C7:D4)	280,12
C₅⋊₂(C₇⋊D₄) = C₃₅⋊D₄	φ: C₇⋊D₄/D₁₄ → C₂ ⊆ Aut C₅	140	4-	C5:2(C7:D4)	280,10
C₅⋊₃(C₇⋊D₄) = C₃₅⋊₇D₄	φ: C₇⋊D₄/C₂×C₁₄ → C₂ ⊆ Aut C₅	140	2	C5:3(C7:D4)	280,28

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