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

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

		d	ρ	Label	ID
D₄×C₂₀		80		D4xC20	160,179

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄×D₄) = D₄×F₅	φ: C₄×D₄/D₄ → C₄ ⊆ Aut C₅	20	8+	C5:(C4xD4)	160,207
C₅⋊₂(C₄×D₄) = C₄×D₂₀	φ: C₄×D₄/C₄² → C₂ ⊆ Aut C₅	80		C5:2(C4xD4)	160,94
C₅⋊₃(C₄×D₄) = Dic₅⋊₄D₄	φ: C₄×D₄/C₂²⋊C₄ → C₂ ⊆ Aut C₅	80		C5:3(C4xD4)	160,102
C₅⋊₄(C₄×D₄) = D₂₀⋊₈C₄	φ: C₄×D₄/C₄⋊C₄ → C₂ ⊆ Aut C₅	80		C5:4(C4xD4)	160,114
C₅⋊₅(C₄×D₄) = C₄×C₅⋊D₄	φ: C₄×D₄/C₂²×C₄ → C₂ ⊆ Aut C₅	80		C5:5(C4xD4)	160,149
C₅⋊₆(C₄×D₄) = D₄×Dic₅	φ: C₄×D₄/C₂×D₄ → C₂ ⊆ Aut C₅	80		C5:6(C4xD4)	160,155

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