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

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

		d	ρ	Label	ID
C₅×C₄⋊C₄		80		C5xC4:C4	80,22

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄⋊C₄) = C₄⋊F₅	φ: C₄⋊C₄/C₄ → C₄ ⊆ Aut C₅	20	4	C5:(C4:C4)	80,31
C₅⋊₂(C₄⋊C₄) = C₁₀.D₄	φ: C₄⋊C₄/C₂×C₄ → C₂ ⊆ Aut C₅	80		C5:2(C4:C4)	80,12
C₅⋊₃(C₄⋊C₄) = C₄⋊Dic₅	φ: C₄⋊C₄/C₂×C₄ → C₂ ⊆ Aut C₅	80		C5:3(C4:C4)	80,13

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