Extensions 1→N→G→Q→1 with N=C₁₀ and Q=D₁₆

Direct product G=NxQ with N=C₁₀ and Q=D₁₆

		d	ρ	Label	ID
C₁₀xD₁₆		160		C10xD16	320,1006

Semidirect products G=N:Q with N=C₁₀ and Q=D₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀:₁D₁₆ = C₂xD₈₀	φ: D₁₆/C₁₆ → C₂ ⊆ Aut C₁₀	160		C10:1D16	320,529
C₁₀:₂D₁₆ = C₂xC₅:D₁₆	φ: D₁₆/D₈ → C₂ ⊆ Aut C₁₀	160		C10:2D16	320,773

Non-split extensions G=N.Q with N=C₁₀ and Q=D₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.₁D₁₆ = D₁₆₀	φ: D₁₆/C₁₆ → C₂ ⊆ Aut C₁₀	160	2+	C10.1D16	320,6
C₁₀.₂D₁₆ = C₁₆₀:C₂	φ: D₁₆/C₁₆ → C₂ ⊆ Aut C₁₀	160	2	C10.2D16	320,7
C₁₀.₃D₁₆ = Dic₈₀	φ: D₁₆/C₁₆ → C₂ ⊆ Aut C₁₀	320	2-	C10.3D16	320,8
C₁₀.₄D₁₆ = C₈₀:₁₃C₄	φ: D₁₆/C₁₆ → C₂ ⊆ Aut C₁₀	320		C10.4D16	320,62
C₁₀.₅D₁₆ = D₄₀:₇C₄	φ: D₁₆/C₁₆ → C₂ ⊆ Aut C₁₀	160		C10.5D16	320,67
C₁₀.₆D₁₆ = C₄₀.₂Q₈	φ: D₁₆/D₈ → C₂ ⊆ Aut C₁₀	320		C10.6D16	320,47
C₁₀.₇D₁₆ = C₄₀.₅D₄	φ: D₁₆/D₈ → C₂ ⊆ Aut C₁₀	160		C10.7D16	320,49
C₁₀.₈D₁₆ = C₅:D₃₂	φ: D₁₆/D₈ → C₂ ⊆ Aut C₁₀	160	4+	C10.8D16	320,77
C₁₀.₉D₁₆ = D₁₆.D₅	φ: D₁₆/D₈ → C₂ ⊆ Aut C₁₀	160	4-	C10.9D16	320,78
C₁₀.₁₀D₁₆ = C₅:SD₆₄	φ: D₁₆/D₈ → C₂ ⊆ Aut C₁₀	160	4+	C10.10D16	320,79
C₁₀.₁₁D₁₆ = C₅:Q₆₄	φ: D₁₆/D₈ → C₂ ⊆ Aut C₁₀	320	4-	C10.11D16	320,80
C₁₀.₁₂D₁₆ = C₁₀.D₁₆	φ: D₁₆/D₈ → C₂ ⊆ Aut C₁₀	160		C10.12D16	320,120
C₁₀.₁₃D₁₆ = C₅xC₂.D₁₆	central extension (φ=1)	160		C10.13D16	320,162
C₁₀.₁₄D₁₆ = C₅xC₁₆:₃C₄	central extension (φ=1)	320		C10.14D16	320,171
C₁₀.₁₅D₁₆ = C₅xD₃₂	central extension (φ=1)	160	2	C10.15D16	320,176
C₁₀.₁₆D₁₆ = C₅xSD₆₄	central extension (φ=1)	160	2	C10.16D16	320,177
C₁₀.₁₇D₁₆ = C₅xQ₆₄	central extension (φ=1)	320	2	C10.17D16	320,178

׿

x

:

Z

F

o

wr

Q

<