Extensions 1→N→G→Q→1 with N=C₃xC₉ and Q=C₁₅

Direct product G=NxQ with N=C₃xC₉ and Q=C₁₅

		d	ρ	Label	ID
C₃²xC₄₅		405		C3^2xC45	405,11

Semidirect products G=N:Q with N=C₃xC₉ and Q=C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₉):₁C₁₅ = C₅xC₃²:C₉	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃xC₉	135		(C3xC9):1C15	405,3
(C₃xC₉):₂C₁₅ = C₅xHe₃.C₃	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃xC₉	135	3	(C3xC9):2C15	405,8
(C₃xC₉):₃C₁₅ = C₅xHe₃:C₃	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃xC₉	135	3	(C3xC9):3C15	405,9
(C₃xC₉):₄C₁₅ = C₁₅x3_-¹⁺²	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃xC₉	135		(C3xC9):4C15	405,13
(C₃xC₉):₅C₁₅ = C₅xC₉oHe₃	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃xC₉	135	3	(C3xC9):5C15	405,14

Non-split extensions G=N.Q with N=C₃xC₉ and Q=C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₉).₁C₁₅ = C₅xC₉:C₉	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃xC₉	405		(C3xC9).1C15	405,4
(C₃xC₉).₂C₁₅ = C₅xC₃.He₃	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃xC₉	135	3	(C3xC9).2C15	405,10
(C₃xC₉).₃C₁₅ = C₅xC₂₇:C₃	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃xC₉	135	3	(C3xC9).3C15	405,6

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