Extensions 1→N→G→Q→1 with N=C₂×C₁₃⋊C₃ and Q=S₃

Direct product G=N×Q with N=C₂×C₁₃⋊C₃ and Q=S₃

		d	ρ	Label	ID
C₂×S₃×C₁₃⋊C₃		78	6	C2xS3xC13:C3	468,34

Semidirect products G=N:Q with N=C₂×C₁₃⋊C₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₁₃⋊C₃)⋊S₃ = C₂×D₃₉⋊C₃	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₁₃⋊C₃	78	6+	(C2xC13:C3):S3	468,35

Non-split extensions G=N.Q with N=C₂×C₁₃⋊C₃ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₁₃⋊C₃).S₃ = C₃₉⋊₃C₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂×C₁₃⋊C₃	156	6-	(C2xC13:C3).S3	468,21
(C₂×C₁₃⋊C₃).₂S₃ = Dic₃×C₁₃⋊C₃	φ: trivial image	156	6	(C2xC13:C3).2S3	468,20

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Extensions 1→N→G→Q→1 with N=C2×C13⋊C3 and Q=S3