Extensions 1→N→G→Q→1 with N=C₄×C₁₃⋊C₃ and Q=C₂

Direct product G=N×Q with N=C₄×C₁₃⋊C₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×C₁₃⋊C₃		104		C2xC4xC13:C3	312,22

Semidirect products G=N:Q with N=C₄×C₁₃⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₁₃⋊C₃)⋊₁C₂ = D₅₂⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₃⋊C₃	52	6+	(C4xC13:C3):1C2	312,10
(C₄×C₁₃⋊C₃)⋊₂C₂ = C₄×C₁₃⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₃⋊C₃	52	6	(C4xC13:C3):2C2	312,9
(C₄×C₁₃⋊C₃)⋊₃C₂ = D₄×C₁₃⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₃⋊C₃	52	6	(C4xC13:C3):3C2	312,23

Non-split extensions G=N.Q with N=C₄×C₁₃⋊C₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₁₃⋊C₃).₁C₂ = Dic₂₆⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₃⋊C₃	104	6-	(C4xC13:C3).1C2	312,8
(C₄×C₁₃⋊C₃).₂C₂ = C₁₃⋊₂C₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₃⋊C₃	104	6	(C4xC13:C3).2C2	312,1
(C₄×C₁₃⋊C₃).₃C₂ = Q₈×C₁₃⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₃⋊C₃	104	6	(C4xC13:C3).3C2	312,24
(C₄×C₁₃⋊C₃).₄C₂ = C₈×C₁₃⋊C₃	φ: trivial image	104	3	(C4xC13:C3).4C2	312,2

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