Extensions 1→N→G→Q→1 with N=C₄² and Q=C₃₀

Direct product G=NxQ with N=C₄² and Q=C₃₀

		d	ρ	Label	ID
C₂xC₄xC₆₀		480		C2xC4xC60	480,919

Semidirect products G=N:Q with N=C₄² and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²:₁C₃₀ = C₅xC₄²:C₆	φ: C₃₀/C₅ → C₆ ⊆ Aut C₄²	80	6	C4^2:1C30	480,657
C₄²:₂C₃₀ = C₅xC₂³.A₄	φ: C₃₀/C₅ → C₆ ⊆ Aut C₄²	60	6	C4^2:2C30	480,658
C₄²:₃C₃₀ = C₁₀xC₄²:C₃	φ: C₃₀/C₁₀ → C₃ ⊆ Aut C₄²	60	3	C4^2:3C30	480,654
C₄²:₄C₃₀ = C₁₅xC₄²:C₂	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:4C30	480,922
C₄²:₅C₃₀ = C₁₅xC₄²:₂C₂	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:5C30	480,931
C₄²:₆C₃₀ = C₁₅xC₄wrC₂	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₄²	120	2	C4^2:6C30	480,207
C₄²:₇C₃₀ = D₄xC₆₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:7C30	480,923
C₄²:₈C₃₀ = C₁₅xC₄.₄D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:8C30	480,929
C₄²:₉C₃₀ = C₁₅xC₄:₁D₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₄²	240		C4^2:9C30	480,932

Non-split extensions G=N.Q with N=C₄² and Q=C₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁C₃₀ = C₁₅xC₈:C₄	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.1C30	480,200
C₄².₂C₃₀ = C₁₅xC₄:C₈	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.2C30	480,208
C₄².₃C₃₀ = Q₈xC₆₀	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.3C30	480,924
C₄².₄C₃₀ = C₁₅xC₄².C₂	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.4C30	480,930
C₄².₅C₃₀ = C₁₅xC₄:Q₈	φ: C₃₀/C₁₅ → C₂ ⊆ Aut C₄²	480		C4^2.5C30	480,933

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