Extensions 1→N→G→Q→1 with N=C₄ and Q=C₅xDic₃

Direct product G=NxQ with N=C₄ and Q=C₅xDic₃

		d	ρ	Label	ID
Dic₃xC₂₀		240		Dic3xC20	240,56

Semidirect products G=N:Q with N=C₄ and Q=C₅xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₅xDic₃) = C₅xC₄:Dic₃	φ: C₅xDic₃/C₃₀ → C₂ ⊆ Aut C₄	240		C4:(C5xDic3)	240,58

Non-split extensions G=N.Q with N=C₄ and Q=C₅xDic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₅xDic₃) = C₅xC₄.Dic₃	φ: C₅xDic₃/C₃₀ → C₂ ⊆ Aut C₄	120	2	C4.(C5xDic3)	240,55
C₄.₂(C₅xDic₃) = C₅xC₃:C₁₆	central extension (φ=1)	240	2	C4.2(C5xDic3)	240,1
C₄.₃(C₅xDic₃) = C₁₀xC₃:C₈	central extension (φ=1)	240		C4.3(C5xDic3)	240,54

Extensions 1→N→G→Q→1 with N=C4 and Q=C5xDic3