Extensions 1→N→G→Q→1 with N=C₂₀ and Q=Q₁₆

Direct product G=N×Q with N=C₂₀ and Q=Q₁₆

		d	ρ	Label	ID
Q₁₆×C₂₀		320		Q16xC20	320,940

Semidirect products G=N:Q with N=C₂₀ and Q=Q₁₆

extension	φ:Q→Aut N	d	Label	ID
C₂₀⋊₁Q₁₆ = C₄⋊Dic₂₀	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₀	320	C20:1Q16	320,476
C₂₀⋊₂Q₁₆ = C₂₀⋊Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₀	320	C20:2Q16	320,717
C₂₀⋊₃Q₁₆ = C₂₀⋊₃Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₀	320	C20:3Q16	320,719
C₂₀⋊₄Q₁₆ = C₂₀⋊₄Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₀	320	C20:4Q16	320,326
C₂₀⋊₅Q₁₆ = C₄×Dic₂₀	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₀	320	C20:5Q16	320,325
C₂₀⋊₆Q₁₆ = C₅×C₄⋊Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₀	320	C20:6Q16	320,995
C₂₀⋊₇Q₁₆ = C₂₀⋊₇Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₀	320	C20:7Q16	320,658
C₂₀⋊₈Q₁₆ = C₄×C₅⋊Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₀	320	C20:8Q16	320,656
C₂₀⋊₉Q₁₆ = C₅×C₄⋊₂Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₀	320	C20:9Q16	320,963

Non-split extensions G=N.Q with N=C₂₀ and Q=Q₁₆

extension	φ:Q→Aut N	d	Label	ID
C₂₀.₁Q₁₆ = C₄.Dic₂₀	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₀	320	C20.1Q16	320,39
C₂₀.₂Q₁₆ = C₂₀.₄₇D₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₀	320	C20.2Q16	320,40
C₂₀.₃Q₁₆ = C₄₀.₂Q₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₀	320	C20.3Q16	320,47
C₂₀.₄Q₁₆ = C₁₀.SD₃₂	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₀	320	C20.4Q16	320,48
C₂₀.₅Q₁₆ = C₂₀.₅Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₀	320	C20.5Q16	320,104
C₂₀.₆Q₁₆ = C₂₀.₁₀D₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₀	320	C20.6Q16	320,105
C₂₀.₇Q₁₆ = C₂₀.₇Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₀	320	C20.7Q16	320,477
C₂₀.₈Q₁₆ = C₂₀.₁₇D₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₀	320	C20.8Q16	320,705
C₂₀.₉Q₁₆ = C₂₀.Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₀	320	C20.9Q16	320,708
C₂₀.₁₀Q₁₆ = Dic₁₀⋊₅Q₈	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₀	320	C20.10Q16	320,718
C₂₀.₁₁Q₁₆ = C₂₀.₁₁Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Aut C₂₀	320	C20.11Q16	320,720
C₂₀.₁₂Q₁₆ = C₈₀⋊₁₃C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₀	320	C20.12Q16	320,62
C₂₀.₁₃Q₁₆ = C₈₀⋊₁₄C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₀	320	C20.13Q16	320,63
C₂₀.₁₄Q₁₆ = C₂₀.₁₄Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₀	320	C20.14Q16	320,308
C₂₀.₁₅Q₁₆ = C₄₀⋊₈Q₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₀	320	C20.15Q16	320,309
C₂₀.₁₆Q₁₆ = Dic₁₀⋊₃C₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₀	320	C20.16Q16	320,14
C₂₀.₁₇Q₁₆ = C₄₀⋊₅C₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₀	320	C20.17Q16	320,16
C₂₀.₁₈Q₁₆ = C₅×C₁₆⋊₃C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₀	320	C20.18Q16	320,171
C₂₀.₁₉Q₁₆ = C₅×C₁₆⋊₄C₄	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₀	320	C20.19Q16	320,172
C₂₀.₂₀Q₁₆ = C₅×C₄.SD₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₀	320	C20.20Q16	320,988
C₂₀.₂₁Q₁₆ = C₅×C₈⋊₂Q₈	φ: Q₁₆/C₈ → C₂ ⊆ Aut C₂₀	320	C20.21Q16	320,1001
C₂₀.₂₂Q₁₆ = C₂₀.₂D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₀	320	C20.22Q16	320,44
C₂₀.₂₃Q₁₆ = C₂₀.₂₃Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₀	320	C20.23Q16	320,648
C₂₀.₂₄Q₁₆ = C₂₀.₅₃D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₀	320	C20.24Q16	320,37
C₂₀.₂₅Q₁₆ = Dic₁₀⋊₄C₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₀	320	C20.25Q16	320,42
C₂₀.₂₆Q₁₆ = C₂₀.₂₆Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₀	320	C20.26Q16	320,93
C₂₀.₂₇Q₁₆ = C₅×C₄.₁₀D₈	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₀	320	C20.27Q16	320,137
C₂₀.₂₈Q₁₆ = C₅×C₄.₆Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₀	320	C20.28Q16	320,138
C₂₀.₂₉Q₁₆ = C₅×C₄.Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Aut C₂₀	320	C20.29Q16	320,978
C₂₀.₃₀Q₁₆ = C₅×Q₈⋊C₈	central extension (φ=1)	320	C20.30Q16	320,131
C₂₀.₃₁Q₁₆ = C₅×C₈⋊₁C₈	central extension (φ=1)	320	C20.31Q16	320,140

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C20 and Q=Q16

Extensions 1→N→G→Q→1 with N=C₂₀ and Q=Q₁₆