Extensions 1→N→G→Q→1 with N=C₄xD₁₃ and Q=C₄

Direct product G=NxQ with N=C₄xD₁₃ and Q=C₄

		d	ρ	Label	ID
C₄²xD₁₃		208		C4^2xD13	416,92

Semidirect products G=N:Q with N=C₄xD₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₁₃):₁C₄ = C₄:C₄xD₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₁₃	208		(C4xD13):1C4	416,112
(C₄xD₁₃):₂C₄ = C₄:C₄:₇D₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₁₃	208		(C4xD13):2C4	416,113
(C₄xD₁₃):₃C₄ = C₄²:D₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₁₃	208		(C4xD13):3C4	416,93
(C₄xD₁₃):₄C₄ = C₂xC₅₂:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₁₃	104		(C4xD13):4C4	416,203
(C₄xD₁₃):₅C₄ = C₂xC₄xC₁₃:C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₁₃	104		(C4xD13):5C4	416,202
(C₄xD₁₃):₆C₄ = D₂₆.C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₁₃	104	4	(C4xD13):6C4	416,204

Non-split extensions G=N.Q with N=C₄xD₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xD₁₃).₁C₄ = M₄(2)xD₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₁₃	104	4	(C4xD13).1C4	416,127
(C₄xD₁₃).₂C₄ = C₂₀₈:C₂	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₁₃	208	2	(C4xD13).2C4	416,5
(C₄xD₁₃).₃C₄ = C₂xC₈:D₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₁₃	208		(C4xD13).3C4	416,121
(C₄xD₁₃).₄C₄ = C₂xC₅₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₁₃	208		(C4xD13).4C4	416,200
(C₄xD₁₃).₅C₄ = D₁₃:C₁₆	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₁₃	208	4	(C4xD13).5C4	416,64
(C₄xD₁₃).₆C₄ = D₂₆.C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₁₃	208	4	(C4xD13).6C4	416,65
(C₄xD₁₃).₇C₄ = C₂xD₁₃:C₈	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₁₃	208		(C4xD13).7C4	416,199
(C₄xD₁₃).₈C₄ = D₁₃:M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₄xD₁₃	104	4	(C4xD13).8C4	416,201
(C₄xD₁₃).₉C₄ = C₁₆xD₁₃	φ: trivial image	208	2	(C4xD13).9C4	416,4
(C₄xD₁₃).₁₀C₄ = C₂xC₈xD₁₃	φ: trivial image	208		(C4xD13).10C4	416,120

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