Extensions 1→N→G→Q→1 with N=C₆ and Q=C₃×D₅

Direct product G=N×Q with N=C₆ and Q=C₃×D₅

		d	ρ	Label	ID
D₅×C₃×C₆		90		D5xC3xC6	180,32

Semidirect products G=N:Q with N=C₆ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃×D₅) = C₆×D₁₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₆	60	2	C6:(C3xD5)	180,34

Non-split extensions G=N.Q with N=C₆ and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₃×D₅) = C₃×Dic₁₅	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₆	60	2	C6.(C3xD5)	180,15
C₆.₂(C₃×D₅) = C₉×Dic₅	central extension (φ=1)	180	2	C6.2(C3xD5)	180,2
C₆.₃(C₃×D₅) = D₅×C₁₈	central extension (φ=1)	90	2	C6.3(C3xD5)	180,9
C₆.₄(C₃×D₅) = C₃²×Dic₅	central extension (φ=1)	180		C6.4(C3xD5)	180,13

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Extensions 1→N→G→Q→1 with N=C6 and Q=C3×D5