Extensions 1→N→G→Q→1 with N=C₃×C₁₅ and Q=C₃²

Direct product G=N×Q with N=C₃×C₁₅ and Q=C₃²

		d	ρ	Label	ID
C₃³×C₁₅		405		C3^3xC15	405,16

Semidirect products G=N:Q with N=C₃×C₁₅ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₅)⋊C₃² = C₁₅×He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₁₅	135		(C3xC15):C3^2	405,12

Non-split extensions G=N.Q with N=C₃×C₁₅ and Q=C₃²

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₁₅).₁C₃² = C₅×C₃≀C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₁₅	45	3	(C3xC15).1C3^2	405,7
(C₃×C₁₅).₂C₃² = C₅×He₃.C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₁₅	135	3	(C3xC15).2C3^2	405,8
(C₃×C₁₅).₃C₃² = C₅×He₃⋊C₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₁₅	135	3	(C3xC15).3C3^2	405,9
(C₃×C₁₅).₄C₃² = C₅×C₃.He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₁₅	135	3	(C3xC15).4C3^2	405,10
(C₃×C₁₅).₅C₃² = C₅×C₉○He₃	φ: C₃²/C₃ → C₃ ⊆ Aut C₃×C₁₅	135	3	(C3xC15).5C3^2	405,14
(C₃×C₁₅).₆C₃² = C₅×C₃²⋊C₉	central extension (φ=1)	135		(C3xC15).6C3^2	405,3
(C₃×C₁₅).₇C₃² = C₅×C₉⋊C₉	central extension (φ=1)	405		(C3xC15).7C3^2	405,4
(C₃×C₁₅).₈C₃² = C₁₅×3_-¹⁺²	central extension (φ=1)	135		(C3xC15).8C3^2	405,13

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