Extensions 1→N→G→Q→1 with N=C₅ and Q=D₈⋊C₄

Direct product G=N×Q with N=C₅ and Q=D₈⋊C₄

		d	ρ	Label	ID
C₅×D₈⋊C₄		160		C5xD8:C4	320,943

Semidirect products G=N:Q with N=C₅ and Q=D₈⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(D₈⋊C₄) = D₄₀⋊C₄	φ: D₈⋊C₄/D₈ → C₄ ⊆ Aut C₅	40	8+	C5:(D8:C4)	320,1069
C₅⋊₂(D₈⋊C₄) = D₄₀⋊₉C₄	φ: D₈⋊C₄/C₈⋊C₄ → C₂ ⊆ Aut C₅	160		C5:2(D8:C4)	320,338
C₅⋊₃(D₈⋊C₄) = D₄⋊D₅⋊₆C₄	φ: D₈⋊C₄/D₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:3(D8:C4)	320,412
C₅⋊₄(D₈⋊C₄) = D₄₀⋊₁₅C₄	φ: D₈⋊C₄/C₄.Q₈ → C₂ ⊆ Aut C₅	160		C5:4(D8:C4)	320,496
C₅⋊₅(D₈⋊C₄) = C₄².₄₈D₁₀	φ: D₈⋊C₄/C₄×D₄ → C₂ ⊆ Aut C₅	160		C5:5(D8:C4)	320,641
C₅⋊₆(D₈⋊C₄) = D₈⋊Dic₅	φ: D₈⋊C₄/C₂×D₈ → C₂ ⊆ Aut C₅	160		C5:6(D8:C4)	320,779

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