Extensions 1→N→G→Q→1 with N=C₂xC₅²:C₃ and Q=C₂

Direct product G=NxQ with N=C₂xC₅²:C₃ and Q=C₂

		d	ρ	Label	ID
C₂²xC₅²:C₃		60		C2^2xC5^2:C3	300,41

Semidirect products G=N:Q with N=C₂xC₅²:C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₅²:C₃):₁C₂ = C₂xC₅²:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅²:C₃	30	3	(C2xC5^2:C3):1C2	300,26
(C₂xC₅²:C₃):₂C₂ = C₂xC₅²:C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅²:C₃	30	6+	(C2xC5^2:C3):2C2	300,27

Non-split extensions G=N.Q with N=C₂xC₅²:C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₅²:C₃).₁C₂ = C₅²:₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅²:C₃	60	3	(C2xC5^2:C3).1C2	300,13
(C₂xC₅²:C₃).₂C₂ = C₅²:₂C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₅²:C₃	60	6-	(C2xC5^2:C3).2C2	300,14
(C₂xC₅²:C₃).₃C₂ = C₄xC₅²:C₃	φ: trivial image	60	3	(C2xC5^2:C3).3C2	300,15

Extensions 1→N→G→Q→1 with N=C2xC52:C3 and Q=C2