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

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

		d	ρ	Label	ID
C₅×C₈.D₄		160		C5xC8.D4	320,971

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈.D₄) = C₅⋊₂C₈.D₄	φ: C₈.D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₅	160		C5:1(C8.D4)	320,443
C₅⋊₂(C₈.D₄) = C₈.₂D₂₀	φ: C₈.D₄/C₄.Q₈ → C₂ ⊆ Aut C₅	160		C5:2(C8.D4)	320,495
C₅⋊₃(C₈.D₄) = C₅⋊(C₈.D₄)	φ: C₈.D₄/C₂²⋊Q₈ → C₂ ⊆ Aut C₅	160		C5:3(C8.D4)	320,679
C₅⋊₄(C₈.D₄) = C₄₀.₄D₄	φ: C₈.D₄/C₂×M₄(2) → C₂ ⊆ Aut C₅	160		C5:4(C8.D4)	320,764
C₅⋊₅(C₈.D₄) = C₄₀.₃₆D₄	φ: C₈.D₄/C₂×Q₁₆ → C₂ ⊆ Aut C₅	160		C5:5(C8.D4)	320,816

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁