Extensions 1→N→G→Q→1 with N=Dic₃×C₁₃ and Q=C₂

Direct product G=N×Q with N=Dic₃×C₁₃ and Q=C₂

		d	ρ	Label	ID
Dic₃×C₂₆		312		Dic3xC26	312,35

Semidirect products G=N:Q with N=Dic₃×C₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Dic₃×C₁₃)⋊₁C₂ = Dic₃×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₃	156	4-	(Dic3xC13):1C2	312,15
(Dic₃×C₁₃)⋊₂C₂ = D₇₈.C₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₃	156	4+	(Dic3xC13):2C2	312,17
(Dic₃×C₁₃)⋊₃C₂ = C₃⋊D₅₂	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₃	156	4+	(Dic3xC13):3C2	312,19
(Dic₃×C₁₃)⋊₄C₂ = C₁₃×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₃	156	2	(Dic3xC13):4C2	312,36
(Dic₃×C₁₃)⋊₅C₂ = S₃×C₅₂	φ: trivial image	156	2	(Dic3xC13):5C2	312,33

Non-split extensions G=N.Q with N=Dic₃×C₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Dic₃×C₁₃).₁C₂ = C₃₉⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₃	312	4-	(Dic3xC13).1C2	312,21
(Dic₃×C₁₃).₂C₂ = C₁₃×Dic₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃×C₁₃	312	2	(Dic3xC13).2C2	312,32

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