Extensions 1→N→G→Q→1 with N=C₅ and Q=D₄⋊₄D₄

Direct product G=N×Q with N=C₅ and Q=D₄⋊₄D₄

		d	ρ	Label	ID
C₅×D₄⋊₄D₄		40	4	C5xD4:4D4	320,954

Semidirect products G=N:Q with N=C₅ and Q=D₄⋊₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(D₄⋊₄D₄) = D₂₀⋊₁D₄	φ: D₄⋊₄D₄/C₄.D₄ → C₂ ⊆ Aut C₅	40	8+	C5:1(D4:4D4)	320,374
C₅⋊₂(D₄⋊₄D₄) = D₄⋊₄D₂₀	φ: D₄⋊₄D₄/C₄≀C₂ → C₂ ⊆ Aut C₅	40	4+	C5:2(D4:4D4)	320,449
C₅⋊₃(D₄⋊₄D₄) = D₂₀⋊₅D₄	φ: D₄⋊₄D₄/C₄⋊₁D₄ → C₂ ⊆ Aut C₅	40	4	C5:3(D4:4D4)	320,704
C₅⋊₄(D₄⋊₄D₄) = D₂₀⋊₁₈D₄	φ: D₄⋊₄D₄/C₈⋊C₂² → C₂ ⊆ Aut C₅	40	8+	C5:4(D4:4D4)	320,825
C₅⋊₅(D₄⋊₄D₄) = 2₊¹⁺⁴⋊D₅	φ: D₄⋊₄D₄/2₊¹⁺⁴ → C₂ ⊆ Aut C₅	40	8+	C5:5(D4:4D4)	320,868

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