Extensions 1→N→G→Q→1 with N=C₅ and Q=C₈₄

Direct product G=N×Q with N=C₅ and Q=C₈₄

		d	ρ	Label	ID
C₄₂₀		420	1	C420	420,12

Semidirect products G=N:Q with N=C₅ and Q=C₈₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊C₈₄ = F₅×C₂₁	φ: C₈₄/C₂₁ → C₄ ⊆ Aut C₅	105	4	C5:C84	420,20
C₅⋊₂C₈₄ = Dic₅×C₂₁	φ: C₈₄/C₄₂ → C₂ ⊆ Aut C₅	420	2	C5:2C84	420,6

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁