Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂²xC₃₀

Direct product G=NxQ with N=C₄ and Q=C₂²xC₃₀

		d	ρ	Label	ID
C₂³xC₆₀		480		C2^3xC60	480,1180

Semidirect products G=N:Q with N=C₄ and Q=C₂²xC₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₂²xC₃₀) = D₄xC₂xC₃₀	φ: C₂²xC₃₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	240		C4:(C2^2xC30)	480,1181

Non-split extensions G=N.Q with N=C₄ and Q=C₂²xC₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂²xC₃₀) = D₈xC₃₀	φ: C₂²xC₃₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	240		C4.1(C2^2xC30)	480,937
C₄.₂(C₂²xC₃₀) = SD₁₆xC₃₀	φ: C₂²xC₃₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	240		C4.2(C2^2xC30)	480,938
C₄.₃(C₂²xC₃₀) = Q₁₆xC₃₀	φ: C₂²xC₃₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	480		C4.3(C2^2xC30)	480,939
C₄.₄(C₂²xC₃₀) = C₁₅xC₄oD₈	φ: C₂²xC₃₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	240	2	C4.4(C2^2xC30)	480,940
C₄.₅(C₂²xC₃₀) = C₁₅xC₈:C₂²	φ: C₂²xC₃₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	120	4	C4.5(C2^2xC30)	480,941
C₄.₆(C₂²xC₃₀) = C₁₅xC₈.C₂²	φ: C₂²xC₃₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	240	4	C4.6(C2^2xC30)	480,942
C₄.₇(C₂²xC₃₀) = Q₈xC₂xC₃₀	φ: C₂²xC₃₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	480		C4.7(C2^2xC30)	480,1182
C₄.₈(C₂²xC₃₀) = C₄oD₄xC₃₀	φ: C₂²xC₃₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	240		C4.8(C2^2xC30)	480,1183
C₄.₉(C₂²xC₃₀) = C₁₅x2₊¹⁺⁴	φ: C₂²xC₃₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	120	4	C4.9(C2^2xC30)	480,1184
C₄.₁₀(C₂²xC₃₀) = C₁₅x2_-¹⁺⁴	φ: C₂²xC₃₀/C₂xC₃₀ → C₂ ⊆ Aut C₄	240	4	C4.10(C2^2xC30)	480,1185
C₄.₁₁(C₂²xC₃₀) = M₄(2)xC₃₀	central extension (φ=1)	240		C4.11(C2^2xC30)	480,935
C₄.₁₂(C₂²xC₃₀) = C₁₅xC₈oD₄	central extension (φ=1)	240	2	C4.12(C2^2xC30)	480,936

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