Extensions 1→N→G→Q→1 with N=C₆×D₁₃ and Q=C₂

Direct product G=N×Q with N=C₆×D₁₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₆×D₁₃		156		C2xC6xD13	312,58

Semidirect products G=N:Q with N=C₆×D₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₁₃)⋊₁C₂ = C₃₉⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₃	156	4-	(C6xD13):1C2	312,18
(C₆×D₁₃)⋊₂C₂ = C₃⋊D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₃	156	4+	(C6xD13):2C2	312,19
(C₆×D₁₃)⋊₃C₂ = C₂×S₃×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₃	78	4+	(C6xD13):3C2	312,54
(C₆×D₁₃)⋊₄C₂ = C₃×D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₃	156	2	(C6xD13):4C2	312,29
(C₆×D₁₃)⋊₅C₂ = C₃×C₁₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₃	156	2	(C6xD13):5C2	312,31

Non-split extensions G=N.Q with N=C₆×D₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×D₁₃).₁C₂ = Dic₃×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₃	156	4-	(C6xD13).1C2	312,15
(C₆×D₁₃).₂C₂ = C₂×C₃₉⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₃	78	4	(C6xD13).2C2	312,53
(C₆×D₁₃).₃C₂ = C₆×C₁₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₆×D₁₃	78	4	(C6xD13).3C2	312,52
(C₆×D₁₃).₄C₂ = C₁₂×D₁₃	φ: trivial image	156	2	(C6xD13).4C2	312,28

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