Extensions 1→N→G→Q→1 with N=C₆ and Q=S₃xC₁₃

Direct product G=NxQ with N=C₆ and Q=S₃xC₁₃

		d	ρ	Label	ID
S₃xC₇₈		156	2	S3xC78	468,51

Semidirect products G=N:Q with N=C₆ and Q=S₃xC₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(S₃xC₁₃) = C₃:S₃xC₂₆	φ: S₃xC₁₃/C₃₉ → C₂ ⊆ Aut C₆	234		C6:(S3xC13)	468,53

Non-split extensions G=N.Q with N=C₆ and Q=S₃xC₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(S₃xC₁₃) = C₁₃xDic₉	φ: S₃xC₁₃/C₃₉ → C₂ ⊆ Aut C₆	468	2	C6.1(S3xC13)	468,3
C₆.₂(S₃xC₁₃) = D₉xC₂₆	φ: S₃xC₁₃/C₃₉ → C₂ ⊆ Aut C₆	234	2	C6.2(S3xC13)	468,16
C₆.₃(S₃xC₁₃) = C₁₃xC₃:Dic₃	φ: S₃xC₁₃/C₃₉ → C₂ ⊆ Aut C₆	468		C6.3(S3xC13)	468,26
C₆.₄(S₃xC₁₃) = Dic₃xC₃₉	central extension (φ=1)	156	2	C6.4(S3xC13)	468,24

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