Extensions 1→N→G→Q→1 with N=C₆ and Q=C₅×S₃

Direct product G=N×Q with N=C₆ and Q=C₅×S₃

		d	ρ	Label	ID
S₃×C₃₀		60	2	S3xC30	180,33

Semidirect products G=N:Q with N=C₆ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₅×S₃) = C₁₀×C₃⋊S₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₆	90		C6:(C5xS3)	180,35

Non-split extensions G=N.Q with N=C₆ and Q=C₅×S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₅×S₃) = C₅×Dic₉	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₆	180	2	C6.1(C5xS3)	180,1
C₆.₂(C₅×S₃) = C₁₀×D₉	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₆	90	2	C6.2(C5xS3)	180,10
C₆.₃(C₅×S₃) = C₅×C₃⋊Dic₃	φ: C₅×S₃/C₁₅ → C₂ ⊆ Aut C₆	180		C6.3(C5xS3)	180,16
C₆.₄(C₅×S₃) = Dic₃×C₁₅	central extension (φ=1)	60	2	C6.4(C5xS3)	180,14

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Extensions 1→N→G→Q→1 with N=C6 and Q=C5×S3