Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂²×C₃₀

Direct product G=N×Q with N=C₄ and Q=C₂²×C₃₀

		d	ρ	Label	ID
C₂³×C₆₀		480		C2^3xC60	480,1180

Semidirect products G=N:Q with N=C₄ and Q=C₂²×C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₂²×C₃₀) = D₄×C₂×C₃₀	φ: C₂²×C₃₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	240		C4:(C2^2xC30)	480,1181

Non-split extensions G=N.Q with N=C₄ and Q=C₂²×C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂²×C₃₀) = D₈×C₃₀	φ: C₂²×C₃₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	240		C4.1(C2^2xC30)	480,937
C₄.₂(C₂²×C₃₀) = SD₁₆×C₃₀	φ: C₂²×C₃₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	240		C4.2(C2^2xC30)	480,938
C₄.₃(C₂²×C₃₀) = Q₁₆×C₃₀	φ: C₂²×C₃₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	480		C4.3(C2^2xC30)	480,939
C₄.₄(C₂²×C₃₀) = C₁₅×C₄○D₈	φ: C₂²×C₃₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	240	2	C4.4(C2^2xC30)	480,940
C₄.₅(C₂²×C₃₀) = C₁₅×C₈⋊C₂²	φ: C₂²×C₃₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	120	4	C4.5(C2^2xC30)	480,941
C₄.₆(C₂²×C₃₀) = C₁₅×C₈.C₂²	φ: C₂²×C₃₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	240	4	C4.6(C2^2xC30)	480,942
C₄.₇(C₂²×C₃₀) = Q₈×C₂×C₃₀	φ: C₂²×C₃₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	480		C4.7(C2^2xC30)	480,1182
C₄.₈(C₂²×C₃₀) = C₄○D₄×C₃₀	φ: C₂²×C₃₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	240		C4.8(C2^2xC30)	480,1183
C₄.₉(C₂²×C₃₀) = C₁₅×2₊¹⁺⁴	φ: C₂²×C₃₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	120	4	C4.9(C2^2xC30)	480,1184
C₄.₁₀(C₂²×C₃₀) = C₁₅×2_-¹⁺⁴	φ: C₂²×C₃₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	240	4	C4.10(C2^2xC30)	480,1185
C₄.₁₁(C₂²×C₃₀) = M₄(2)×C₃₀	central extension (φ=1)	240		C4.11(C2^2xC30)	480,935
C₄.₁₂(C₂²×C₃₀) = C₁₅×C₈○D₄	central extension (φ=1)	240	2	C4.12(C2^2xC30)	480,936

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