Extensions 1→N→G→Q→1 with N=C₃×C₉ and Q=C₁₅

Direct product G=N×Q with N=C₃×C₉ and Q=C₁₅

		d	ρ	Label	ID
C₃²×C₄₅		405		C3^2xC45	405,11

Semidirect products G=N:Q with N=C₃×C₉ and Q=C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉)⋊₁C₁₅ = C₅×C₃²⋊C₉	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃×C₉	135		(C3xC9):1C15	405,3
(C₃×C₉)⋊₂C₁₅ = C₅×He₃.C₃	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃×C₉	135	3	(C3xC9):2C15	405,8
(C₃×C₉)⋊₃C₁₅ = C₅×He₃⋊C₃	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃×C₉	135	3	(C3xC9):3C15	405,9
(C₃×C₉)⋊₄C₁₅ = C₁₅×3_-¹⁺²	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃×C₉	135		(C3xC9):4C15	405,13
(C₃×C₉)⋊₅C₁₅ = C₅×C₉○He₃	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃×C₉	135	3	(C3xC9):5C15	405,14

Non-split extensions G=N.Q with N=C₃×C₉ and Q=C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉).₁C₁₅ = C₅×C₉⋊C₉	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃×C₉	405		(C3xC9).1C15	405,4
(C₃×C₉).₂C₁₅ = C₅×C₃.He₃	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃×C₉	135	3	(C3xC9).2C15	405,10
(C₃×C₉).₃C₁₅ = C₅×C₂₇⋊C₃	φ: C₁₅/C₅ → C₃ ⊆ Aut C₃×C₉	135	3	(C3xC9).3C15	405,6

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