Extensions 1→N→G→Q→1 with N=C₄×D₁₃ and Q=C₂

Direct product G=N×Q with N=C₄×D₁₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×D₁₃		104		C2xC4xD13	208,36

Semidirect products G=N:Q with N=C₄×D₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₃)⋊₁C₂ = D₄×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₃	52	4+	(C4xD13):1C2	208,39
(C₄×D₁₃)⋊₂C₂ = D₄⋊₂D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₃	104	4-	(C4xD13):2C2	208,40
(C₄×D₁₃)⋊₃C₂ = D₅₂⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₃	104	4+	(C4xD13):3C2	208,42
(C₄×D₁₃)⋊₄C₂ = D₅₂⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₃	104	2	(C4xD13):4C2	208,38

Non-split extensions G=N.Q with N=C₄×D₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₁₃).₁C₂ = Q₈×D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₃	104	4-	(C4xD13).1C2	208,41
(C₄×D₁₃).₂C₂ = C₈⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₃	104	2	(C4xD13).2C2	208,5
(C₄×D₁₃).₃C₂ = C₅₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₃	104	4	(C4xD13).3C2	208,29
(C₄×D₁₃).₄C₂ = C₅₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₃	52	4	(C4xD13).4C2	208,31
(C₄×D₁₃).₅C₂ = D₁₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₃	104	4	(C4xD13).5C2	208,28
(C₄×D₁₃).₆C₂ = C₄×C₁₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₁₃	52	4	(C4xD13).6C2	208,30
(C₄×D₁₃).₇C₂ = C₈×D₁₃	φ: trivial image	104	2	(C4xD13).7C2	208,4

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