Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄²⋊₉C₄

Direct product G=N×Q with N=C₅ and Q=C₄²⋊₉C₄

		d	ρ	Label	ID
C₅×C₄²⋊₉C₄		320		C5xC4^2:9C4	320,885

Semidirect products G=N:Q with N=C₅ and Q=C₄²⋊₉C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₄²⋊₉C₄) = C₄²⋊₈F₅	φ: C₄²⋊₉C₄/C₄² → C₄ ⊆ Aut C₅	80		C5:(C4^2:9C4)	320,1026
C₅⋊₂(C₄²⋊₉C₄) = C₄²⋊₈Dic₅	φ: C₄²⋊₉C₄/C₂×C₄² → C₂ ⊆ Aut C₅	320		C5:2(C4^2:9C4)	320,562
C₅⋊₃(C₄²⋊₉C₄) = C₂₀⋊₅(C₄⋊C₄)	φ: C₄²⋊₉C₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	320		C5:3(C4^2:9C4)	320,603

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