Extensions 1→N→G→Q→1 with N=C₂² and Q=Dic₃₀

Direct product G=N×Q with N=C₂² and Q=Dic₃₀

		d	ρ	Label	ID
C₂²×Dic₃₀		480		C2^2xDic30	480,1165

Semidirect products G=N:Q with N=C₂² and Q=Dic₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊Dic₃₀ = C₂₀.₁S₄	φ: Dic₃₀/C₂₀ → S₃ ⊆ Aut C₂²	120	6-	C2^2:Dic30	480,1024
C₂²⋊₂Dic₃₀ = C₂²⋊₂Dic₃₀	φ: Dic₃₀/Dic₁₅ → C₂ ⊆ Aut C₂²	240		C2^2:2Dic30	480,843
C₂²⋊₃Dic₃₀ = C₆₀.₂₀₅D₄	φ: Dic₃₀/C₆₀ → C₂ ⊆ Aut C₂²	240		C2^2:3Dic30	480,889

Non-split extensions G=N.Q with N=C₂² and Q=Dic₃₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁Dic₃₀ = C₆₀.₂₁₀D₄	φ: Dic₃₀/Dic₁₅ → C₂ ⊆ Aut C₂²	240	4	C2^2.1Dic30	480,182
C₂².₂Dic₃₀ = C₄.₁₈D₆₀	φ: Dic₃₀/C₆₀ → C₂ ⊆ Aut C₂²	240	2	C2^2.2Dic30	480,179
C₂².₃Dic₃₀ = C₃₀.₂₉C₄²	central extension (φ=1)	480		C2^2.3Dic30	480,191
C₂².₄Dic₃₀ = C₂×C₃₀.₄Q₈	central extension (φ=1)	480		C2^2.4Dic30	480,888
C₂².₅Dic₃₀ = C₂×C₆₀⋊₅C₄	central extension (φ=1)	480		C2^2.5Dic30	480,890

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