Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₃₀

Direct product G=NxQ with N=C₄ and Q=Dic₃₀

		d	ρ	Label	ID
C₄xDic₃₀		480		C4xDic30	480,833

Semidirect products G=N:Q with N=C₄ and Q=Dic₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁Dic₃₀ = C₄:Dic₃₀	φ: Dic₃₀/Dic₁₅ → C₂ ⊆ Aut C₄	480		C4:1Dic30	480,853
C₄:₂Dic₃₀ = C₆₀:₈Q₈	φ: Dic₃₀/C₆₀ → C₂ ⊆ Aut C₄	480		C4:2Dic30	480,834

Non-split extensions G=N.Q with N=C₄ and Q=Dic₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁Dic₃₀ = C₆₀.₁Q₈	φ: Dic₃₀/Dic₁₅ → C₂ ⊆ Aut C₄	480		C4.1Dic30	480,167
C₄.₂Dic₃₀ = C₆₀.₂Q₈	φ: Dic₃₀/Dic₁₅ → C₂ ⊆ Aut C₄	480		C4.2Dic30	480,168
C₄.₃Dic₃₀ = C₄.Dic₃₀	φ: Dic₃₀/Dic₁₅ → C₂ ⊆ Aut C₄	480		C4.3Dic30	480,855
C₄.₄Dic₃₀ = C₁₂₀:₁₀C₄	φ: Dic₃₀/C₆₀ → C₂ ⊆ Aut C₄	480		C4.4Dic30	480,177
C₄.₅Dic₃₀ = C₁₂₀:₉C₄	φ: Dic₃₀/C₆₀ → C₂ ⊆ Aut C₄	480		C4.5Dic30	480,178
C₄.₆Dic₃₀ = C₆₀.₂₄Q₈	φ: Dic₃₀/C₆₀ → C₂ ⊆ Aut C₄	480		C4.6Dic30	480,835
C₄.₇Dic₃₀ = C₆₀:₅C₈	central extension (φ=1)	480		C4.7Dic30	480,164
C₄.₈Dic₃₀ = C₆₀.₂₆Q₈	central extension (φ=1)	480		C4.8Dic30	480,174

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