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

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

		d	ρ	Label	ID
C₁₀×C₃⋊C₁₆		480		C10xC3:C16	480,130

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₁₆⋊₁C₁₀ = C₅×C₃⋊D₁₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊C₁₆	240	4	C3:C16:1C10	480,145
C₃⋊C₁₆⋊₂C₁₀ = C₅×D₈.S₃	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊C₁₆	240	4	C3:C16:2C10	480,146
C₃⋊C₁₆⋊₃C₁₀ = C₅×C₈.₆D₆	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊C₁₆	240	4	C3:C16:3C10	480,147
C₃⋊C₁₆⋊₄C₁₀ = C₅×D₆.C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊C₁₆	240	2	C3:C16:4C10	480,117
C₃⋊C₁₆⋊₅C₁₀ = C₅×C₁₂.C₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊C₁₆	240	2	C3:C16:5C10	480,131
C₃⋊C₁₆⋊₆C₁₀ = S₃×C₈₀	φ: trivial image	240	2	C3:C16:6C10	480,116

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₃⋊C₁₆.C₁₀ = C₅×C₃⋊Q₃₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₃⋊C₁₆	480	4	C3:C16.C10	480,148

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