Extensions 1→N→G→Q→1 with N=C₁₀ and Q=C₃:C₁₆

Direct product G=NxQ with N=C₁₀ and Q=C₃:C₁₆

		d	ρ	Label	ID
C₁₀xC₃:C₁₆		480		C10xC3:C16	480,130

Semidirect products G=N:Q with N=C₁₀ and Q=C₃:C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀:(C₃:C₁₆) = C₂xC₁₅:C₁₆	φ: C₃:C₁₆/C₁₂ → C₄ ⊆ Aut C₁₀	480		C10:(C3:C16)	480,302
C₁₀:₂(C₃:C₁₆) = C₂xC₁₅:₃C₁₆	φ: C₃:C₁₆/C₂₄ → C₂ ⊆ Aut C₁₀	480		C10:2(C3:C16)	480,171

Non-split extensions G=N.Q with N=C₁₀ and Q=C₃:C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₀.(C₃:C₁₆) = C₁₅:C₃₂	φ: C₃:C₁₆/C₁₂ → C₄ ⊆ Aut C₁₀	480	4	C10.(C3:C16)	480,6
C₁₀.₂(C₃:C₁₆) = C₁₅:₃C₃₂	φ: C₃:C₁₆/C₂₄ → C₂ ⊆ Aut C₁₀	480	2	C10.2(C3:C16)	480,3
C₁₀.₃(C₃:C₁₆) = C₅xC₃:C₃₂	central extension (φ=1)	480	2	C10.3(C3:C16)	480,1

Extensions 1→N→G→Q→1 with N=C10 and Q=C3:C16