Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈⋊₂D₄

Direct product G=N×Q with N=C₅ and Q=C₈⋊₂D₄

		d	ρ	Label	ID
C₅×C₈⋊₂D₄		160		C5xC8:2D4	320,970

Semidirect products G=N:Q with N=C₅ and Q=C₈⋊₂D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈⋊₂D₄) = C₅⋊(C₈⋊₂D₄)	φ: C₈⋊₂D₄/D₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:1(C8:2D4)	320,409
C₅⋊₂(C₈⋊₂D₄) = C₈⋊₂D₂₀	φ: C₈⋊₂D₄/C₄.Q₈ → C₂ ⊆ Aut C₅	160		C5:2(C8:2D4)	320,492
C₅⋊₃(C₈⋊₂D₄) = C₄⋊D₄⋊D₅	φ: C₈⋊₂D₄/C₄⋊D₄ → C₂ ⊆ Aut C₅	160		C5:3(C8:2D4)	320,666
C₅⋊₄(C₈⋊₂D₄) = C₄₀⋊₃D₄	φ: C₈⋊₂D₄/C₂×M₄(2) → C₂ ⊆ Aut C₅	160		C5:4(C8:2D4)	320,762
C₅⋊₅(C₈⋊₂D₄) = C₄₀⋊₁₂D₄	φ: C₈⋊₂D₄/C₂×D₈ → C₂ ⊆ Aut C₅	160		C5:5(C8:2D4)	320,786

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁