Extensions 1→N→G→Q→1 with N=D₆ and Q=C₃×D₅

Direct product G=N×Q with N=D₆ and Q=C₃×D₅

		d	ρ	Label	ID
S₃×C₆×D₅		60	4	S3xC6xD5	360,151

Semidirect products G=N:Q with N=D₆ and Q=C₃×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₃×D₅) = C₃×C₁₅⋊D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out D₆	60	4	D6:1(C3xD5)	360,61
D₆⋊₂(C₃×D₅) = C₃×C₅⋊D₁₂	φ: C₃×D₅/C₁₅ → C₂ ⊆ Out D₆	120	4	D6:2(C3xD5)	360,63

Non-split extensions G=N.Q with N=D₆ and Q=C₃×D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.(C₃×D₅) = C₃×S₃×Dic₅	φ: trivial image	120	4	D6.(C3xD5)	360,59

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Extensions 1→N→G→Q→1 with N=D6 and Q=C3×D5