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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×C₅²⋊C₃) = S₃×C₅²⋊C₃	φ: C₂×C₅²⋊C₃/C₅²⋊C₃ → C₂ ⊆ Aut C₃	45	6	C3:(C2xC5^2:C3)	450,23

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₅²⋊C₃) = C₂×C₅²⋊C₉	central extension (φ=1)	90	3	C3.(C2xC5^2:C3)	450,13

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