Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄²⋊₅C₄

Direct product G=N×Q with N=C₅ and Q=C₄²⋊₅C₄

		d	ρ	Label	ID
C₅×C₄²⋊₅C₄		320		C5xC4^2:5C4	320,884

Semidirect products G=N:Q with N=C₅ and Q=C₄²⋊₅C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄²⋊₅C₄) = C₄²⋊₅F₅	φ: C₄²⋊₅C₄/C₄² → C₄ ⊆ Aut C₅	80		C5:(C4^2:5C4)	320,1028
C₅⋊₂(C₄²⋊₅C₄) = C₅⋊₂(C₄²⋊₅C₄)	φ: C₄²⋊₅C₄/C₂.C₄² → C₂ ⊆ Aut C₅	320		C5:2(C4^2:5C4)	320,278
C₅⋊₃(C₄²⋊₅C₄) = C₄²⋊₅Dic₅	φ: C₄²⋊₅C₄/C₂×C₄² → C₂ ⊆ Aut C₅	320		C5:3(C4^2:5C4)	320,564

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