Extensions 1→N→G→Q→1 with N=C₂²×D₁₃ and Q=C₄

Direct product G=N×Q with N=C₂²×D₁₃ and Q=C₄

		d	ρ	Label	ID
C₂²×C₄×D₁₃		208		C2^2xC4xD13	416,213

Semidirect products G=N:Q with N=C₂²×D₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₁₃)⋊₁C₄ = C₂².₂D₅₂	φ: C₄/C₁ → C₄ ⊆ Out C₂²×D₁₃	104	4	(C2^2xD13):1C4	416,13
(C₂²×D₁₃)⋊₂C₄ = D₂₆.D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²×D₁₃	104	4+	(C2^2xD13):2C4	416,74
(C₂²×D₁₃)⋊₃C₄ = C₂²⋊C₄×D₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₁₃	104		(C2^2xD13):3C4	416,101
(C₂²×D₁₃)⋊₄C₄ = C₂×D₂₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₁₃	208		(C2^2xD13):4C4	416,148
(C₂²×D₁₃)⋊₅C₄ = C₂×D₁₃.D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₁₃	104		(C2^2xD13):5C4	416,211
(C₂²×D₁₃)⋊₆C₄ = C₂³×C₁₃⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₁₃	104		(C2^2xD13):6C4	416,233

Non-split extensions G=N.Q with N=C₂²×D₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂²×D₁₃).₁C₄ = C₅₂.₄₆D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²×D₁₃	104	4+	(C2^2xD13).1C4	416,30
(C₂²×D₁₃).₂C₄ = Dic₁₃.₄D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂²×D₁₃	104	4	(C2^2xD13).2C4	416,88
(C₂²×D₁₃).₃C₄ = D₂₆⋊₁C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₁₃	208		(C2^2xD13).3C4	416,27
(C₂²×D₁₃).₄C₄ = C₂×C₈⋊D₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₁₃	208		(C2^2xD13).4C4	416,121
(C₂²×D₁₃).₅C₄ = M₄(2)×D₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₁₃	104	4	(C2^2xD13).5C4	416,127
(C₂²×D₁₃).₆C₄ = D₂₆⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₁₃	208		(C2^2xD13).6C4	416,78
(C₂²×D₁₃).₇C₄ = C₂×D₁₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₁₃	208		(C2^2xD13).7C4	416,199
(C₂²×D₁₃).₈C₄ = C₂×C₅₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₁₃	208		(C2^2xD13).8C4	416,200
(C₂²×D₁₃).₉C₄ = D₁₃⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂²×D₁₃	104	4	(C2^2xD13).9C4	416,201
(C₂²×D₁₃).₁₀C₄ = C₂×C₈×D₁₃	φ: trivial image	208		(C2^2xD13).10C4	416,120

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