Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄²⋊₄C₄

Direct product G=N×Q with N=C₅ and Q=C₄²⋊₄C₄

		d	ρ	Label	ID
C₅×C₄²⋊₄C₄		320		C5xC4^2:4C4	320,877

Semidirect products G=N:Q with N=C₅ and Q=C₄²⋊₄C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄²⋊₄C₄) = C₄²⋊₄F₅	φ: C₄²⋊₄C₄/C₄² → C₄ ⊆ Aut C₅	80		C5:(C4^2:4C4)	320,1024
C₅⋊₂(C₄²⋊₄C₄) = Dic₅.₁₅C₄²	φ: C₄²⋊₄C₄/C₂.C₄² → C₂ ⊆ Aut C₅	320		C5:2(C4^2:4C4)	320,275
C₅⋊₃(C₄²⋊₄C₄) = C₄²⋊₄Dic₅	φ: C₄²⋊₄C₄/C₂×C₄² → C₂ ⊆ Aut C₅	320		C5:3(C4^2:4C4)	320,559

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