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

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

		d	ρ	Label	ID
C₆×C₅²⋊C₃		90	3	C6xC5^2:C3	450,25

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₅²⋊C₃)⋊₁C₂ = C₅⋊D₁₅⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₅²⋊C₃	45	6+	(C3xC5^2:C3):1C2	450,24
(C₃×C₅²⋊C₃)⋊₂C₂ = C₅²⋊(C₃⋊S₃)	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₅²⋊C₃	45	6+	(C3xC5^2:C3):2C2	450,21
(C₃×C₅²⋊C₃)⋊₃C₂ = C₃×C₅²⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₅²⋊C₃	45	3	(C3xC5^2:C3):3C2	450,20
(C₃×C₅²⋊C₃)⋊₄C₂ = C₃×C₅²⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₅²⋊C₃	45	6	(C3xC5^2:C3):4C2	450,22
(C₃×C₅²⋊C₃)⋊₅C₂ = S₃×C₅²⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₃×C₅²⋊C₃	45	6	(C3xC5^2:C3):5C2	450,23

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