Extensions 1→N→G→Q→1 with N=C₆×C₁₃⋊C₃ and Q=C₂

Direct product G=N×Q with N=C₆×C₁₃⋊C₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₆×C₁₃⋊C₃		156		C2xC6xC13:C3	468,47

Semidirect products G=N:Q with N=C₆×C₁₃⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×C₁₃⋊C₃)⋊₁C₂ = C₂×D₃₉⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₁₃⋊C₃	78	6+	(C6xC13:C3):1C2	468,35
(C₆×C₁₃⋊C₃)⋊₂C₂ = C₆×C₁₃⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₁₃⋊C₃	78	6	(C6xC13:C3):2C2	468,33
(C₆×C₁₃⋊C₃)⋊₃C₂ = C₂×S₃×C₁₃⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₁₃⋊C₃	78	6	(C6xC13:C3):3C2	468,34

Non-split extensions G=N.Q with N=C₆×C₁₃⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₆×C₁₃⋊C₃).₁C₂ = C₃₉⋊₃C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₁₃⋊C₃	156	6-	(C6xC13:C3).1C2	468,21
(C₆×C₁₃⋊C₃).₂C₂ = C₃×C₂₆.C₆	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₁₃⋊C₃	156	6	(C6xC13:C3).2C2	468,19
(C₆×C₁₃⋊C₃).₃C₂ = Dic₃×C₁₃⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₆×C₁₃⋊C₃	156	6	(C6xC13:C3).3C2	468,20
(C₆×C₁₃⋊C₃).₄C₂ = C₁₂×C₁₃⋊C₃	φ: trivial image	156	3	(C6xC13:C3).4C2	468,22

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