Extensions 1→N→G→Q→1 with N=D₆ and Q=C₅×S₃

Direct product G=N×Q with N=D₆ and Q=C₅×S₃

		d	ρ	Label	ID
S₃²×C₁₀		60	4	S3^2xC10	360,153

Semidirect products G=N:Q with N=D₆ and Q=C₅×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁(C₅×S₃) = C₅×D₆⋊S₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out D₆	120	4	D6:1(C5xS3)	360,74
D₆⋊₂(C₅×S₃) = C₅×C₃⋊D₁₂	φ: C₅×S₃/C₁₅ → C₂ ⊆ Out D₆	60	4	D6:2(C5xS3)	360,75

Non-split extensions G=N.Q with N=D₆ and Q=C₅×S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.(C₅×S₃) = C₅×S₃×Dic₃	φ: trivial image	120	4	D6.(C5xS3)	360,72

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Extensions 1→N→G→Q→1 with N=D6 and Q=C5×S3