Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×Dic₁₀

Direct product G=N×Q with N=C₃ and Q=C₃×Dic₁₀

		d	ρ	Label	ID
C₃²×Dic₁₀		360		C3^2xDic10	360,90

Semidirect products G=N:Q with N=C₃ and Q=C₃×Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃×Dic₁₀) = C₃×C₁₅⋊Q₈	φ: C₃×Dic₁₀/C₃×Dic₅ → C₂ ⊆ Aut C₃	120	4	C3:1(C3xDic10)	360,64
C₃⋊₂(C₃×Dic₁₀) = C₃×Dic₃₀	φ: C₃×Dic₁₀/C₆₀ → C₂ ⊆ Aut C₃	120	2	C3:2(C3xDic10)	360,100

Non-split extensions G=N.Q with N=C₃ and Q=C₃×Dic₁₀

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×Dic₁₀) = C₉×Dic₁₀	central extension (φ=1)	360	2	C3.(C3xDic10)	360,15

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C3×Dic10