Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃×D₁₅

Direct product G=N×Q with N=C₃ and Q=C₃×D₁₅

		d	ρ	Label	ID
C₃²×D₁₅		90		C3^2xD15	270,25

Semidirect products G=N:Q with N=C₃ and Q=C₃×D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×D₁₅) = C₃×C₃⋊D₁₅	φ: C₃×D₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₃	90		C3:(C3xD15)	270,27

Non-split extensions G=N.Q with N=C₃ and Q=C₃×D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃×D₁₅) = C₃×D₄₅	φ: C₃×D₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₃	90	2	C3.1(C3xD15)	270,12
C₃.₂(C₃×D₁₅) = He₃⋊D₅	φ: C₃×D₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₃	45	6+	C3.2(C3xD15)	270,14
C₃.₃(C₃×D₁₅) = D₄₅⋊C₃	φ: C₃×D₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₃	45	6+	C3.3(C3xD15)	270,15
C₃.₄(C₃×D₁₅) = C₉×D₁₅	central extension (φ=1)	90	2	C3.4(C3xD15)	270,13

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