Extensions 1→N→G→Q→1 with N=C₂×C₅²⋊C₃ and Q=C₂

Direct product G=N×Q with N=C₂×C₅²⋊C₃ and Q=C₂

		d	ρ	Label	ID
C₂²×C₅²⋊C₃		60		C2^2xC5^2:C3	300,41

Semidirect products G=N:Q with N=C₂×C₅²⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅²⋊C₃)⋊₁C₂ = C₂×C₅²⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅²⋊C₃	30	3	(C2xC5^2:C3):1C2	300,26
(C₂×C₅²⋊C₃)⋊₂C₂ = C₂×C₅²⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅²⋊C₃	30	6+	(C2xC5^2:C3):2C2	300,27

Non-split extensions G=N.Q with N=C₂×C₅²⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₅²⋊C₃).₁C₂ = C₅²⋊₂Dic₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅²⋊C₃	60	3	(C2xC5^2:C3).1C2	300,13
(C₂×C₅²⋊C₃).₂C₂ = C₅²⋊₂C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₅²⋊C₃	60	6-	(C2xC5^2:C3).2C2	300,14
(C₂×C₅²⋊C₃).₃C₂ = C₄×C₅²⋊C₃	φ: trivial image	60	3	(C2xC5^2:C3).3C2	300,15

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Extensions 1→N→G→Q→1 with N=C2×C52⋊C3 and Q=C2