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

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

		d	ρ	Label	ID
C₂×C₄×C₁₃⋊C₄		104		C2xC4xC13:C4	416,202

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₁₃⋊C₄)⋊₁C₂ = Dic₂₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₃⋊C₄	104	8-	(C4xC13:C4):1C2	416,83
(C₄×C₁₃⋊C₄)⋊₂C₂ = D₅₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₃⋊C₄	104	8+	(C4xC13:C4):2C2	416,85
(C₄×C₁₃⋊C₄)⋊₃C₂ = D₄×C₁₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₃⋊C₄	52	8+	(C4xC13:C4):3C2	416,206
(C₄×C₁₃⋊C₄)⋊₄C₂ = D₂₆.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₃⋊C₄	104	4	(C4xC13:C4):4C2	416,204

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×C₁₃⋊C₄).₁C₂ = Q₈×C₁₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₃⋊C₄	104	8-	(C4xC13:C4).1C2	416,208
(C₄×C₁₃⋊C₄).₂C₂ = C₁₀₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×C₁₃⋊C₄	104	4	(C4xC13:C4).2C2	416,67
(C₄×C₁₃⋊C₄).₃C₂ = C₈×C₁₃⋊C₄	φ: trivial image	104	4	(C4xC13:C4).3C2	416,66

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