Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃xC₁₃

Direct product G=NxQ with N=C₄ and Q=S₃xC₁₃

		d	ρ	Label	ID
S₃xC₅₂		156	2	S3xC52	312,33

Semidirect products G=N:Q with N=C₄ and Q=S₃xC₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:(S₃xC₁₃) = C₁₃xD₁₂	φ: S₃xC₁₃/C₃₉ → C₂ ⊆ Aut C₄	156	2	C4:(S3xC13)	312,34

Non-split extensions G=N.Q with N=C₄ and Q=S₃xC₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(S₃xC₁₃) = C₁₃xDic₆	φ: S₃xC₁₃/C₃₉ → C₂ ⊆ Aut C₄	312	2	C4.(S3xC13)	312,32
C₄.₂(S₃xC₁₃) = C₁₃xC₃:C₈	central extension (φ=1)	312	2	C4.2(S3xC13)	312,3

Extensions 1→N→G→Q→1 with N=C4 and Q=S3xC13