Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂xC₅²:C₃

Direct product G=NxQ with N=C₃ and Q=C₂xC₅²:C₃

		d	ρ	Label	ID
C₆xC₅²:C₃		90	3	C6xC5^2:C3	450,25

Semidirect products G=N:Q with N=C₃ and Q=C₂xC₅²:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₂xC₅²:C₃) = S₃xC₅²:C₃	φ: C₂xC₅²: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=C₂xC₅²:C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂xC₅²:C₃) = C₂xC₅²:C₉	central extension (φ=1)	90	3	C3.(C2xC5^2:C3)	450,13

Extensions 1→N→G→Q→1 with N=C3 and Q=C2xC52:C3