Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×C₆₀

Direct product G=N×Q with N=C₄ and Q=C₂×C₆₀

		d	ρ	Label	ID
C₂×C₄×C₆₀		480		C2xC4xC60	480,919

Semidirect products G=N:Q with N=C₄ and Q=C₂×C₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(C₂×C₆₀) = D₄×C₆₀	φ: C₂×C₆₀/C₆₀ → C₂ ⊆ Aut C₄	240		C4:1(C2xC60)	480,923
C₄⋊₂(C₂×C₆₀) = C₄⋊C₄×C₃₀	φ: C₂×C₆₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	480		C4:2(C2xC60)	480,921

Non-split extensions G=N.Q with N=C₄ and Q=C₂×C₆₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×C₆₀) = C₁₅×D₄⋊C₄	φ: C₂×C₆₀/C₆₀ → C₂ ⊆ Aut C₄	240		C4.1(C2xC60)	480,205
C₄.₂(C₂×C₆₀) = C₁₅×Q₈⋊C₄	φ: C₂×C₆₀/C₆₀ → C₂ ⊆ Aut C₄	480		C4.2(C2xC60)	480,206
C₄.₃(C₂×C₆₀) = C₁₅×C₄≀C₂	φ: C₂×C₆₀/C₆₀ → C₂ ⊆ Aut C₄	120	2	C4.3(C2xC60)	480,207
C₄.₄(C₂×C₆₀) = Q₈×C₆₀	φ: C₂×C₆₀/C₆₀ → C₂ ⊆ Aut C₄	480		C4.4(C2xC60)	480,924
C₄.₅(C₂×C₆₀) = C₁₅×C₈○D₄	φ: C₂×C₆₀/C₆₀ → C₂ ⊆ Aut C₄	240	2	C4.5(C2xC60)	480,936
C₄.₆(C₂×C₆₀) = C₁₅×C₄.Q₈	φ: C₂×C₆₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	480		C4.6(C2xC60)	480,209
C₄.₇(C₂×C₆₀) = C₁₅×C₂.D₈	φ: C₂×C₆₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	480		C4.7(C2xC60)	480,210
C₄.₈(C₂×C₆₀) = C₁₅×C₈.C₄	φ: C₂×C₆₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	240	2	C4.8(C2xC60)	480,211
C₄.₉(C₂×C₆₀) = C₁₅×C₄²⋊C₂	φ: C₂×C₆₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	240		C4.9(C2xC60)	480,922
C₄.₁₀(C₂×C₆₀) = M₄(2)×C₃₀	φ: C₂×C₆₀/C₂×C₃₀ → C₂ ⊆ Aut C₄	240		C4.10(C2xC60)	480,935
C₄.₁₁(C₂×C₆₀) = C₁₅×C₈⋊C₄	central extension (φ=1)	480		C4.11(C2xC60)	480,200
C₄.₁₂(C₂×C₆₀) = C₁₅×M₅(2)	central extension (φ=1)	240	2	C4.12(C2xC60)	480,213

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