Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₂₅D₄

Direct product G=N×Q with N=C₅ and Q=C₂³.₂₅D₄

		d	ρ	Label	ID
C₅×C₂³.₂₅D₄		160		C5xC2^3.25D4	320,928

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₂₅D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂³.₂₅D₄) = (C₂×C₈)⋊₆F₅	φ: C₂³.₂₅D₄/C₂×C₈ → C₄ ⊆ Aut C₅	80	4	C5:(C2^3.25D4)	320,1059
C₅⋊₂(C₂³.₂₅D₄) = (C₈×D₅)⋊C₄	φ: C₂³.₂₅D₄/C₄.Q₈ → C₂ ⊆ Aut C₅	160		C5:2(C2^3.25D4)	320,487
C₅⋊₃(C₂³.₂₅D₄) = C₈.₂₇(C₄×D₅)	φ: C₂³.₂₅D₄/C₂.D₈ → C₂ ⊆ Aut C₅	160		C5:3(C2^3.25D4)	320,507
C₅⋊₄(C₂³.₂₅D₄) = C₂₀.₇₆(C₄⋊C₄)	φ: C₂³.₂₅D₄/C₄²⋊C₂ → C₂ ⊆ Aut C₅	160		C5:4(C2^3.25D4)	320,625
C₅⋊₅(C₂³.₂₅D₄) = C₂³.₂₂D₂₀	φ: C₂³.₂₅D₄/C₂²×C₈ → C₂ ⊆ Aut C₅	160		C5:5(C2^3.25D4)	320,733

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