Extensions 1→N→G→Q→1 with N=C₂xDic₁₃ and Q=C₄

Direct product G=NxQ with N=C₂xDic₁₃ and Q=C₄

		d	ρ	Label	ID
C₂xC₄xDic₁₃		416		C2xC4xDic13	416,143

Semidirect products G=N:Q with N=C₂xDic₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₁₃):₁C₄ = C₂².₂D₅₂	φ: C₄/C₁ → C₄ ⊆ Out C₂xDic₁₃	104	4	(C2xDic13):1C4	416,13
(C₂xDic₁₃):₂C₄ = D₂₆.₄D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂xDic₁₃	104	4	(C2xDic13):2C4	416,86
(C₂xDic₁₃):₃C₄ = C₂₆.₁₀C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	416		(C2xDic13):3C4	416,38
(C₂xDic₁₃):₄C₄ = C₂³.₁₁D₂₆	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	208		(C2xDic13):4C4	416,98
(C₂xDic₁₃):₅C₄ = C₂xC₂₆.D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	416		(C2xDic13):5C4	416,144
(C₂xDic₁₃):₆C₄ = D₂₆.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	104		(C2xDic13):6C4	416,81
(C₂xDic₁₃):₇C₄ = C₂xC₄xC₁₃:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	104		(C2xDic13):7C4	416,202
(C₂xDic₁₃):₈C₄ = C₂xC₅₂:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	104		(C2xDic13):8C4	416,203
(C₂xDic₁₃):₉C₄ = D₂₆.C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	104	4	(C2xDic13):9C4	416,204

Non-split extensions G=N.Q with N=C₂xDic₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₁₃).₁C₄ = C₄.₁₂D₅₂	φ: C₄/C₁ → C₄ ⊆ Out C₂xDic₁₃	208	4-	(C2xDic13).1C4	416,31
(C₂xDic₁₃).₂C₄ = Dic₁₃.D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂xDic₁₃	208	4-	(C2xDic13).2C4	416,80
(C₂xDic₁₃).₃C₄ = C₅₂.₈Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	416		(C2xDic13).3C4	416,21
(C₂xDic₁₃).₄C₄ = C₁₀₄:₈C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	416		(C2xDic13).4C4	416,22
(C₂xDic₁₃).₅C₄ = D₂₆:₁C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	208		(C2xDic13).5C4	416,27
(C₂xDic₁₃).₆C₄ = C₂xC₈:D₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	208		(C2xDic13).6C4	416,121
(C₂xDic₁₃).₇C₄ = M₄(2)xD₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	104	4	(C2xDic13).7C4	416,127
(C₂xDic₁₃).₈C₄ = C₄xC₁₃:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	416		(C2xDic13).8C4	416,75
(C₂xDic₁₃).₉C₄ = C₅₂:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	416		(C2xDic13).9C4	416,76
(C₂xDic₁₃).₁₀C₄ = C₂₆.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	416		(C2xDic13).10C4	416,77
(C₂xDic₁₃).₁₁C₄ = Dic₁₃:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	416		(C2xDic13).11C4	416,79
(C₂xDic₁₃).₁₂C₄ = C₂₆.M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	208		(C2xDic13).12C4	416,87
(C₂xDic₁₃).₁₃C₄ = C₂²xC₁₃:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	416		(C2xDic13).13C4	416,209
(C₂xDic₁₃).₁₄C₄ = C₂xC₁₃:M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂xDic₁₃	208		(C2xDic13).14C4	416,210
(C₂xDic₁₃).₁₅C₄ = C₈xDic₁₃	φ: trivial image	416		(C2xDic13).15C4	416,20
(C₂xDic₁₃).₁₆C₄ = C₂xC₈xD₁₃	φ: trivial image	208		(C2xDic13).16C4	416,120

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