Extensions 1→N→G→Q→1 with N=C₂×Dic₁₃ and Q=C₄

Direct product G=N×Q with N=C₂×Dic₁₃ and Q=C₄

		d	ρ	Label	ID
C₂×C₄×Dic₁₃		416		C2xC4xDic13	416,143

Semidirect products G=N:Q with N=C₂×Dic₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₁₃)⋊₁C₄ = C₂².₂D₅₂	φ: C₄/C₁ → C₄ ⊆ Out C₂×Dic₁₃	104	4	(C2xDic13):1C4	416,13
(C₂×Dic₁₃)⋊₂C₄ = D₂₆.₄D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×Dic₁₃	104	4	(C2xDic13):2C4	416,86
(C₂×Dic₁₃)⋊₃C₄ = C₂₆.₁₀C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13):3C4	416,38
(C₂×Dic₁₃)⋊₄C₄ = C₂³.₁₁D₂₆	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13):4C4	416,98
(C₂×Dic₁₃)⋊₅C₄ = C₂×C₂₆.D₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13):5C4	416,144
(C₂×Dic₁₃)⋊₆C₄ = D₂₆.Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	104		(C2xDic13):6C4	416,81
(C₂×Dic₁₃)⋊₇C₄ = C₂×C₄×C₁₃⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	104		(C2xDic13):7C4	416,202
(C₂×Dic₁₃)⋊₈C₄ = C₂×C₅₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	104		(C2xDic13):8C4	416,203
(C₂×Dic₁₃)⋊₉C₄ = D₂₆.C₂³	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	104	4	(C2xDic13):9C4	416,204

Non-split extensions G=N.Q with N=C₂×Dic₁₃ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×Dic₁₃).₁C₄ = C₄.₁₂D₅₂	φ: C₄/C₁ → C₄ ⊆ Out C₂×Dic₁₃	208	4-	(C2xDic13).1C4	416,31
(C₂×Dic₁₃).₂C₄ = Dic₁₃.D₄	φ: C₄/C₁ → C₄ ⊆ Out C₂×Dic₁₃	208	4-	(C2xDic13).2C4	416,80
(C₂×Dic₁₃).₃C₄ = C₅₂.₈Q₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).3C4	416,21
(C₂×Dic₁₃).₄C₄ = C₁₀₄⋊₈C₄	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).4C4	416,22
(C₂×Dic₁₃).₅C₄ = D₂₆⋊₁C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).5C4	416,27
(C₂×Dic₁₃).₆C₄ = C₂×C₈⋊D₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).6C4	416,121
(C₂×Dic₁₃).₇C₄ = M₄(2)×D₁₃	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	104	4	(C2xDic13).7C4	416,127
(C₂×Dic₁₃).₈C₄ = C₄×C₁₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).8C4	416,75
(C₂×Dic₁₃).₉C₄ = C₅₂⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).9C4	416,76
(C₂×Dic₁₃).₁₀C₄ = C₂₆.C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).10C4	416,77
(C₂×Dic₁₃).₁₁C₄ = Dic₁₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).11C4	416,79
(C₂×Dic₁₃).₁₂C₄ = C₂₆.M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).12C4	416,87
(C₂×Dic₁₃).₁₃C₄ = C₂²×C₁₃⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	416		(C2xDic13).13C4	416,209
(C₂×Dic₁₃).₁₄C₄ = C₂×C₁₃⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₂×Dic₁₃	208		(C2xDic13).14C4	416,210
(C₂×Dic₁₃).₁₅C₄ = C₈×Dic₁₃	φ: trivial image	416		(C2xDic13).15C4	416,20
(C₂×Dic₁₃).₁₆C₄ = C₂×C₈×D₁₃	φ: trivial image	208		(C2xDic13).16C4	416,120

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