Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃₀

Direct product G=N×Q with N=C₂³ and Q=C₃₀

		d	ρ	Label	ID
C₂³×C₃₀		240		C2^3xC30	240,208

Semidirect products G=N:Q with N=C₂³ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊C₃₀ = A₄×C₂×C₁₀	φ: C₃₀/C₁₀ → C₃ ⊆ Aut C₂³	60		C2^3:C30	240,203
C₂³⋊₂C₃₀ = D₄×C₃₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂³	120		C2^3:2C30	240,186

Non-split extensions G=N.Q with N=C₂³ and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₃₀ = A₄×C₂₀	φ: C₃₀/C₁₀ → C₃ ⊆ Aut C₂³	60	3	C2^3.C30	240,152
C₂³.₂C₃₀ = C₁₅×C₂²⋊C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₂³	120		C2^3.2C30	240,82

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Extensions 1→N→G→Q→1 with N=C23 and Q=C30