Extensions 1→N→G→Q→1 with N=C₄ and Q=C₃xDic₅

Direct product G=NxQ with N=C₄ and Q=C₃xDic₅

		d	ρ	Label	ID
C₁₂xDic₅		240		C12xDic5	240,40

Semidirect products G=N:Q with N=C₄ and Q=C₃xDic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(C₃xDic₅) = C₃xC₄:Dic₅	φ: C₃xDic₅/C₃₀ → C₂ ⊆ Aut C₄	240		C4:(C3xDic5)	240,42

Non-split extensions G=N.Q with N=C₄ and Q=C₃xDic₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₃xDic₅) = C₃xC₄.Dic₅	φ: C₃xDic₅/C₃₀ → C₂ ⊆ Aut C₄	120	2	C4.(C3xDic5)	240,39
C₄.₂(C₃xDic₅) = C₃xC₅:₂C₁₆	central extension (φ=1)	240	2	C4.2(C3xDic5)	240,2
C₄.₃(C₃xDic₅) = C₆xC₅:₂C₈	central extension (φ=1)	240		C4.3(C3xDic5)	240,38

Extensions 1→N→G→Q→1 with N=C4 and Q=C3xDic5