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

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

		d	ρ	Label	ID
C₃⋊S₃×C₂₆		234		C3:S3xC26	468,53

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₃×C₃⋊S₃)⋊₁C₂ = C₃⋊S₃×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₃⋊S₃	117		(C13xC3:S3):1C2	468,43
(C₁₃×C₃⋊S₃)⋊₂C₂ = D₃₉⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₃⋊S₃	78	4	(C13xC3:S3):2C2	468,46
(C₁₃×C₃⋊S₃)⋊₃C₂ = S₃²×C₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₃⋊S₃	78	4	(C13xC3:S3):3C2	468,44

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₁₃×C₃⋊S₃).₁C₂ = C₁₃×C₃²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₃⋊S₃	78	4	(C13xC3:S3).1C2	468,39
(C₁₃×C₃⋊S₃).₂C₂ = C₃²⋊Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₁₃×C₃⋊S₃	78	4	(C13xC3:S3).2C2	468,40

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