Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃×D₅

Direct product G=N×Q with N=C₂³ and Q=C₃×D₅

		d	ρ	Label	ID
D₅×C₂²×C₆		120		D5xC2^2xC6	240,205

Semidirect products G=N:Q with N=C₂³ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊(C₃×D₅) = C₂×D₅×A₄	φ: C₃×D₅/D₅ → C₃ ⊆ Aut C₂³	30	6+	C2^3:(C3xD5)	240,198
C₂³⋊₂(C₃×D₅) = C₆×C₅⋊D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂³	120		C2^3:2(C3xD5)	240,164

Non-split extensions G=N.Q with N=C₂³ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.(C₃×D₅) = A₄×Dic₅	φ: C₃×D₅/D₅ → C₃ ⊆ Aut C₂³	60	6-	C2^3.(C3xD5)	240,110
C₂³.₂(C₃×D₅) = C₃×C₂³.D₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂³	120		C2^3.2(C3xD5)	240,48
C₂³.₃(C₃×D₅) = C₂×C₆×Dic₅	central extension (φ=1)	240		C2^3.3(C3xD5)	240,163

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Extensions 1→N→G→Q→1 with N=C23 and Q=C3×D5