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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₃⋊(C₄×S₃) = S₃×C₁₃⋊C₄	φ: C₄×S₃/S₃ → C₄ ⊆ Aut C₁₃	39	8+	C13:(C4xS3)	312,46
C₁₃⋊₂(C₄×S₃) = D₇₈.C₂	φ: C₄×S₃/Dic₃ → C₂ ⊆ Aut C₁₃	156	4+	C13:2(C4xS3)	312,17
C₁₃⋊₃(C₄×S₃) = C₄×D₃₉	φ: C₄×S₃/C₁₂ → C₂ ⊆ Aut C₁₃	156	2	C13:3(C4xS3)	312,38
C₁₃⋊₄(C₄×S₃) = S₃×Dic₁₃	φ: C₄×S₃/D₆ → C₂ ⊆ Aut C₁₃	156	4-	C13:4(C4xS3)	312,16

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