Extensions 1→N→G→Q→1 with N=C₆ and Q=S₃×C₁₃

Direct product G=N×Q with N=C₆ and Q=S₃×C₁₃

		d	ρ	Label	ID
S₃×C₇₈		156	2	S3xC78	468,51

Semidirect products G=N:Q with N=C₆ and Q=S₃×C₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(S₃×C₁₃) = C₃⋊S₃×C₂₆	φ: S₃×C₁₃/C₃₉ → C₂ ⊆ Aut C₆	234		C6:(S3xC13)	468,53

Non-split extensions G=N.Q with N=C₆ and Q=S₃×C₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(S₃×C₁₃) = C₁₃×Dic₉	φ: S₃×C₁₃/C₃₉ → C₂ ⊆ Aut C₆	468	2	C6.1(S3xC13)	468,3
C₆.₂(S₃×C₁₃) = D₉×C₂₆	φ: S₃×C₁₃/C₃₉ → C₂ ⊆ Aut C₆	234	2	C6.2(S3xC13)	468,16
C₆.₃(S₃×C₁₃) = C₁₃×C₃⋊Dic₃	φ: S₃×C₁₃/C₃₉ → C₂ ⊆ Aut C₆	468		C6.3(S3xC13)	468,26
C₆.₄(S₃×C₁₃) = Dic₃×C₃₉	central extension (φ=1)	156	2	C6.4(S3xC13)	468,24

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Extensions 1→N→G→Q→1 with N=C6 and Q=S3×C13