Extensions 1→N→G→Q→1 with N=C₃³ and Q=C₁₅

Direct product G=NxQ with N=C₃³ and Q=C₁₅

		d	ρ	Label	ID
C₃³xC₁₅		405		C3^3xC15	405,16

Semidirect products G=N:Q with N=C₃³ and Q=C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³:₁C₁₅ = C₅xC₃wrC₃	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃³	45	3	C3^3:1C15	405,7
C₃³:₂C₁₅ = C₁₅xHe₃	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃³	135		C3^3:2C15	405,12

Non-split extensions G=N.Q with N=C₃³ and Q=C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³.₁C₁₅ = C₅xC₃²:C₉	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃³	135		C3^3.1C15	405,3
C₃³.₂C₁₅ = C₁₅x3_-¹⁺²	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃³	135		C3^3.2C15	405,13

Extensions 1→N→G→Q→1 with N=C33 and Q=C15