Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅²⋊C₆

Direct product G=N×Q with N=C₃ and Q=C₅²⋊C₆

		d	ρ	Label	ID
C₃×C₅²⋊C₆		45	6	C3xC5^2:C6	450,22

Semidirect products G=N:Q with N=C₃ and Q=C₅²⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₅²⋊C₆) = C₅⋊D₁₅⋊C₃	φ: C₅²⋊C₆/C₅²⋊C₃ → C₂ ⊆ Aut C₃	45	6+	C3:(C5^2:C6)	450,24

Non-split extensions G=N.Q with N=C₃ and Q=C₅²⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₅²⋊C₆) = C₅²⋊C₁₈	central extension (φ=1)	45	6	C3.(C5^2:C6)	450,12

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Extensions 1→N→G→Q→1 with N=C3 and Q=C52⋊C6