Extensions 1→N→G→Q→1 with N=C₃₀ and Q=C₁₆

Direct product G=N×Q with N=C₃₀ and Q=C₁₆

		d	ρ	Label	ID
C₂×C₂₄₀		480		C2xC240	480,212

Semidirect products G=N:Q with N=C₃₀ and Q=C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀⋊₁C₁₆ = C₂×C₁₅⋊C₁₆	φ: C₁₆/C₄ → C₄ ⊆ Aut C₃₀	480		C30:1C16	480,302
C₃₀⋊₂C₁₆ = C₆×C₅⋊C₁₆	φ: C₁₆/C₄ → C₄ ⊆ Aut C₃₀	480		C30:2C16	480,277
C₃₀⋊₃C₁₆ = C₂×C₁₅⋊₃C₁₆	φ: C₁₆/C₈ → C₂ ⊆ Aut C₃₀	480		C30:3C16	480,171
C₃₀⋊₄C₁₆ = C₆×C₅⋊₂C₁₆	φ: C₁₆/C₈ → C₂ ⊆ Aut C₃₀	480		C30:4C16	480,89
C₃₀⋊₅C₁₆ = C₁₀×C₃⋊C₁₆	φ: C₁₆/C₈ → C₂ ⊆ Aut C₃₀	480		C30:5C16	480,130

Non-split extensions G=N.Q with N=C₃₀ and Q=C₁₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₀.₁C₁₆ = C₁₅⋊C₃₂	φ: C₁₆/C₄ → C₄ ⊆ Aut C₃₀	480	4	C30.1C16	480,6
C₃₀.₂C₁₆ = C₃×C₅⋊C₃₂	φ: C₁₆/C₄ → C₄ ⊆ Aut C₃₀	480	4	C30.2C16	480,5
C₃₀.₃C₁₆ = C₁₅⋊₃C₃₂	φ: C₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	2	C30.3C16	480,3
C₃₀.₄C₁₆ = C₃×C₅⋊₂C₃₂	φ: C₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	2	C30.4C16	480,2
C₃₀.₅C₁₆ = C₅×C₃⋊C₃₂	φ: C₁₆/C₈ → C₂ ⊆ Aut C₃₀	480	2	C30.5C16	480,1

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