Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄⋊C₄

Direct product G=N×Q with N=C₅ and Q=D₄⋊C₄

		d	ρ	Label	ID
C₅×D₄⋊C₄		80		C5xD4:C4	160,52

Semidirect products G=N:Q with N=C₅ and Q=D₄⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(D₄⋊C₄) = D₂₀⋊C₄	φ: D₄⋊C₄/D₄ → C₄ ⊆ Aut C₅	40	8+	C5:(D4:C4)	160,82
C₅⋊₂(D₄⋊C₄) = D₂₀⋊₆C₄	φ: D₄⋊C₄/C₄⋊C₄ → C₂ ⊆ Aut C₅	80		C5:2(D4:C4)	160,16
C₅⋊₃(D₄⋊C₄) = D₂₀⋊₅C₄	φ: D₄⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₅	80		C5:3(D4:C4)	160,28
C₅⋊₄(D₄⋊C₄) = D₄⋊Dic₅	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₅	80		C5:4(D4:C4)	160,39

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