Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅²⋊S₃

Direct product G=N×Q with N=C₃ and Q=C₅²⋊S₃

		d	ρ	Label	ID
C₃×C₅²⋊S₃		45	3	C3xC5^2:S3	450,20

Semidirect products G=N:Q with N=C₃ and Q=C₅²⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₅²⋊S₃) = C₅²⋊(C₃⋊S₃)	φ: C₅²⋊S₃/C₅²⋊C₃ → C₂ ⊆ Aut C₃	45	6+	C3:(C5^2:S3)	450,21

Non-split extensions G=N.Q with N=C₃ and Q=C₅²⋊S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₅²⋊S₃) = C₅²⋊D₉	φ: C₅²⋊S₃/C₅²⋊C₃ → C₂ ⊆ Aut C₃	45	6+	C3.(C5^2:S3)	450,11

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Extensions 1→N→G→Q→1 with N=C3 and Q=C52⋊S3