Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃×C₁₅

Direct product G=N×Q with N=C₃ and Q=S₃×C₁₅

		d	ρ	Label	ID
S₃×C₃×C₁₅		90		S3xC3xC15	270,24

Semidirect products G=N:Q with N=C₃ and Q=S₃×C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(S₃×C₁₅) = C₁₅×C₃⋊S₃	φ: S₃×C₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₃	90		C3:(S3xC15)	270,26

Non-split extensions G=N.Q with N=C₃ and Q=S₃×C₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(S₃×C₁₅) = C₁₅×D₉	φ: S₃×C₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₃	90	2	C3.1(S3xC15)	270,8
C₃.₂(S₃×C₁₅) = C₅×C₃²⋊C₆	φ: S₃×C₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₃	45	6	C3.2(S3xC15)	270,10
C₃.₃(S₃×C₁₅) = C₅×C₉⋊C₆	φ: S₃×C₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₃	45	6	C3.3(S3xC15)	270,11
C₃.₄(S₃×C₁₅) = S₃×C₄₅	central extension (φ=1)	90	2	C3.4(S3xC15)	270,9

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