Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃×D₅

Direct product G=N×Q with N=C₃ and Q=S₃×D₅

		d	ρ	Label	ID
C₃×S₃×D₅		30	4	C3xS3xD5	180,26

Semidirect products G=N:Q with N=C₃ and Q=S₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(S₃×D₅) = S₃×D₁₅	φ: S₃×D₅/C₅×S₃ → C₂ ⊆ Aut C₃	30	4+	C3:1(S3xD5)	180,29
C₃⋊₂(S₃×D₅) = D₅×C₃⋊S₃	φ: S₃×D₅/C₃×D₅ → C₂ ⊆ Aut C₃	45		C3:2(S3xD5)	180,27
C₃⋊₃(S₃×D₅) = D₁₅⋊S₃	φ: S₃×D₅/D₁₅ → C₂ ⊆ Aut C₃	30	4	C3:3(S3xD5)	180,30

Non-split extensions G=N.Q with N=C₃ and Q=S₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃×D₅) = D₅×D₉	φ: S₃×D₅/C₃×D₅ → C₂ ⊆ Aut C₃	45	4+	C3.(S3xD5)	180,7

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Extensions 1→N→G→Q→1 with N=C3 and Q=S3×D5