Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈.C₄

Direct product G=N×Q with N=C₅ and Q=C₈.C₄

		d	ρ	Label	ID
C₅×C₈.C₄		80	2	C5xC8.C4	160,58

Semidirect products G=N:Q with N=C₅ and Q=C₈.C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₈.C₄) = C₄₀.C₄	φ: C₈.C₄/C₈ → C₄ ⊆ Aut C₅	80	4	C5:1(C8.C4)	160,70
C₅⋊₂(C₈.C₄) = D₁₀.Q₈	φ: C₈.C₄/C₈ → C₄ ⊆ Aut C₅	80	4	C5:2(C8.C4)	160,71
C₅⋊₃(C₈.C₄) = C₄₀.₆C₄	φ: C₈.C₄/C₂×C₈ → C₂ ⊆ Aut C₅	80	2	C5:3(C8.C4)	160,26
C₅⋊₄(C₈.C₄) = C₂₀.₅₃D₄	φ: C₈.C₄/M₄(2) → C₂ ⊆ Aut C₅	80	4	C5:4(C8.C4)	160,29

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁