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

Direct product G=N×Q with N=C₁₀ and Q=C₃⋊C₁₆

		d	ρ	Label	ID
C₁₀×C₃⋊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) = C₂×C₁₅⋊C₁₆	φ: C₃⋊C₁₆/C₁₂ → C₄ ⊆ Aut C₁₀	480		C10:(C3:C16)	480,302
C₁₀⋊₂(C₃⋊C₁₆) = C₂×C₁₅⋊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) = C₅×C₃⋊C₃₂	central extension (φ=1)	480	2	C10.3(C3:C16)	480,1

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