Extensions 1→N→G→Q→1 with N=C₂²xC₆ and Q=C₁₀

Direct product G=NxQ with N=C₂²xC₆ and Q=C₁₀

		d	ρ	Label	ID
C₂³xC₃₀		240		C2^3xC30	240,208

Semidirect products G=N:Q with N=C₂²xC₆ and Q=C₁₀

extension	φ:Q→Aut N	d	Label	ID
(C₂²xC₆):₁C₁₀ = D₄xC₃₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₆	120	(C2^2xC6):1C10	240,186
(C₂²xC₆):₂C₁₀ = C₁₀xC₃:D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₆	120	(C2^2xC6):2C10	240,174
(C₂²xC₆):₃C₁₀ = S₃xC₂²xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₆	120	(C2^2xC6):3C10	240,206

Non-split extensions G=N.Q with N=C₂²xC₆ and Q=C₁₀

extension	φ:Q→Aut N	d	Label	ID
(C₂²xC₆).₁C₁₀ = C₁₅xC₂²:C₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₆	120	(C2^2xC6).1C10	240,82
(C₂²xC₆).₂C₁₀ = C₅xC₆.D₄	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₆	120	(C2^2xC6).2C10	240,64
(C₂²xC₆).₃C₁₀ = Dic₃xC₂xC₁₀	φ: C₁₀/C₅ → C₂ ⊆ Aut C₂²xC₆	240	(C2^2xC6).3C10	240,173

Extensions 1→N→G→Q→1 with N=C22xC6 and Q=C10