Extensions 1→N→G→Q→1 with N=C₁₆ and Q=C₂₀

Direct product G=N×Q with N=C₁₆ and Q=C₂₀

		d	ρ	Label	ID
C₄×C₈₀		320		C4xC80	320,150

Semidirect products G=N:Q with N=C₁₆ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆⋊₁C₂₀ = C₅×C₈.Q₈	φ: C₂₀/C₅ → C₄ ⊆ Aut C₁₆	80	4	C16:1C20	320,170
C₁₆⋊₂C₂₀ = C₅×C₁₆⋊C₄	φ: C₂₀/C₅ → C₄ ⊆ Aut C₁₆	80	4	C16:2C20	320,152
C₁₆⋊₃C₂₀ = C₅×C₁₆⋊₃C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₆	320		C16:3C20	320,171
C₁₆⋊₄C₂₀ = C₅×C₁₆⋊₄C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₆	320		C16:4C20	320,172
C₁₆⋊₅C₂₀ = C₅×C₁₆⋊₅C₄	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₆	320		C16:5C20	320,151

Non-split extensions G=N.Q with N=C₁₆ and Q=C₂₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₆.₁C₂₀ = C₅×C₈.₄Q₈	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₆	160	2	C16.1C20	320,173
C₁₆.₂C₂₀ = C₅×M₆(2)	φ: C₂₀/C₁₀ → C₂ ⊆ Aut C₁₆	160	2	C16.2C20	320,175

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁