Extensions 1→N→G→Q→1 with N=C₃ and Q=D₅×Dic₃

Direct product G=N×Q with N=C₃ and Q=D₅×Dic₃

		d	ρ	Label	ID
C₃×D₅×Dic₃		60	4	C3xD5xDic3	360,58

Semidirect products G=N:Q with N=C₃ and Q=D₅×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₅×Dic₃) = Dic₃×D₁₅	φ: D₅×Dic₃/C₅×Dic₃ → C₂ ⊆ Aut C₃	120	4-	C3:1(D5xDic3)	360,77
C₃⋊₂(D₅×Dic₃) = D₃₀.S₃	φ: D₅×Dic₃/Dic₁₅ → C₂ ⊆ Aut C₃	120	4	C3:2(D5xDic3)	360,84
C₃⋊₃(D₅×Dic₃) = D₅×C₃⋊Dic₃	φ: D₅×Dic₃/C₆×D₅ → C₂ ⊆ Aut C₃	180		C3:3(D5xDic3)	360,65

Non-split extensions G=N.Q with N=C₃ and Q=D₅×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₅×Dic₃) = D₅×Dic₉	φ: D₅×Dic₃/C₆×D₅ → C₂ ⊆ Aut C₃	180	4-	C3.(D5xDic3)	360,11

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=D5×Dic3