Extensions 1→N→G→Q→1 with N=C₄ and Q=S₃×C₁₃

Direct product G=N×Q with N=C₄ and Q=S₃×C₁₃

		d	ρ	Label	ID
S₃×C₅₂		156	2	S3xC52	312,33

Semidirect products G=N:Q with N=C₄ and Q=S₃×C₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(S₃×C₁₃) = C₁₃×D₁₂	φ: S₃×C₁₃/C₃₉ → C₂ ⊆ Aut C₄	156	2	C4:(S3xC13)	312,34

Non-split extensions G=N.Q with N=C₄ and Q=S₃×C₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(S₃×C₁₃) = C₁₃×Dic₆	φ: S₃×C₁₃/C₃₉ → C₂ ⊆ Aut C₄	312	2	C4.(S3xC13)	312,32
C₄.₂(S₃×C₁₃) = C₁₃×C₃⋊C₈	central extension (φ=1)	312	2	C4.2(S3xC13)	312,3

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Extensions 1→N→G→Q→1 with N=C4 and Q=S3×C13