Extensions 1→N→G→Q→1 with N=C₂² and Q=C₅xDic₆

Direct product G=NxQ with N=C₂² and Q=C₅xDic₆

		d	ρ	Label	ID
C₂xC₁₀xDic₆		480		C2xC10xDic6	480,1150

Semidirect products G=N:Q with N=C₂² and Q=C₅xDic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₅xDic₆) = C₅xA₄:Q₈	φ: C₅xDic₆/C₂₀ → S₃ ⊆ Aut C₂²	120	6	C2^2:(C5xDic6)	480,1013
C₂²:₂(C₅xDic₆) = C₅xDic₃.D₄	φ: C₅xDic₆/C₅xDic₃ → C₂ ⊆ Aut C₂²	240		C2^2:2(C5xDic6)	480,757
C₂²:₃(C₅xDic₆) = C₅xC₁₂.₄₈D₄	φ: C₅xDic₆/C₆₀ → C₂ ⊆ Aut C₂²	240		C2^2:3(C5xDic6)	480,803

Non-split extensions G=N.Q with N=C₂² and Q=C₅xDic₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₅xDic₆) = C₅xC₁₂.₅₃D₄	φ: C₅xDic₆/C₅xDic₃ → C₂ ⊆ Aut C₂²	240	4	C2^2.1(C5xDic6)	480,141
C₂².₂(C₅xDic₆) = C₅xC₂₄.C₄	φ: C₅xDic₆/C₆₀ → C₂ ⊆ Aut C₂²	240	2	C2^2.2(C5xDic6)	480,138
C₂².₃(C₅xDic₆) = C₅xC₆.C₄²	central extension (φ=1)	480		C2^2.3(C5xDic6)	480,150
C₂².₄(C₅xDic₆) = C₁₀xDic₃:C₄	central extension (φ=1)	480		C2^2.4(C5xDic6)	480,802
C₂².₅(C₅xDic₆) = C₁₀xC₄:Dic₃	central extension (φ=1)	480		C2^2.5(C5xDic6)	480,804

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