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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₁₃)⋊₁C₂ = D₅₂⋊₇C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	104	4	(C4xDic13):1C2	416,32
(C₄×Dic₁₃)⋊₂C₂ = C₅₂.₅₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	104	4	(C4xDic13):2C2	416,44
(C₄×Dic₁₃)⋊₃C₂ = D₅₂⋊₈C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	208		(C4xDic13):3C2	416,114
(C₄×Dic₁₃)⋊₄C₂ = D₄×Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	208		(C4xDic13):4C2	416,155
(C₄×Dic₁₃)⋊₅C₂ = C₅₂.₁₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	208		(C4xDic13):5C2	416,157
(C₄×Dic₁₃)⋊₆C₂ = C₅₂⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	208		(C4xDic13):6C2	416,161
(C₄×Dic₁₃)⋊₇C₂ = C₅₂.₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	208		(C4xDic13):7C2	416,168
(C₄×Dic₁₃)⋊₈C₂ = C₄²⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	208		(C4xDic13):8C2	416,93
(C₄×Dic₁₃)⋊₉C₂ = C₂³.₁₁D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	208		(C4xDic13):9C2	416,98
(C₄×Dic₁₃)⋊₁₀C₂ = C₂³.D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	208		(C4xDic13):10C2	416,100
(C₄×Dic₁₃)⋊₁₁C₂ = Dic₁₃⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	208		(C4xDic13):11C2	416,102
(C₄×Dic₁₃)⋊₁₂C₂ = C₂³.₆D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	208		(C4xDic13):12C2	416,106
(C₄×Dic₁₃)⋊₁₃C₂ = C₄⋊C₄⋊₇D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	208		(C4xDic13):13C2	416,113
(C₄×Dic₁₃)⋊₁₄C₂ = C₄⋊C₄⋊D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	208		(C4xDic13):14C2	416,119
(C₄×Dic₁₃)⋊₁₅C₂ = C₂³.₂₁D₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	208		(C4xDic13):15C2	416,147
(C₄×Dic₁₃)⋊₁₆C₂ = C₄×C₁₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	208		(C4xDic13):16C2	416,149
(C₄×Dic₁₃)⋊₁₇C₂ = C₄²×D₁₃	φ: trivial image	208		(C4xDic13):17C2	416,92

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×Dic₁₃).₁C₂ = C₅₂⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	416		(C4xDic13).1C2	416,109
(C₄×Dic₁₃).₂C₂ = C₄.Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	416		(C4xDic13).2C2	416,111
(C₄×Dic₁₃).₃C₂ = Dic₁₃⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	416		(C4xDic13).3C2	416,165
(C₄×Dic₁₃).₄C₂ = Q₈×Dic₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	416		(C4xDic13).4C2	416,166
(C₄×Dic₁₃).₅C₂ = C₅₂.₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	416		(C4xDic13).5C2	416,21
(C₄×Dic₁₃).₆C₂ = C₁₀₄⋊₈C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	416		(C4xDic13).6C2	416,22
(C₄×Dic₁₃).₇C₂ = C₂₆.C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	416		(C4xDic13).7C2	416,77
(C₄×Dic₁₃).₈C₂ = Dic₁₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	416		(C4xDic13).8C2	416,79
(C₄×Dic₁₃).₉C₂ = C₄×Dic₂₆	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	416		(C4xDic13).9C2	416,89
(C₄×Dic₁₃).₁₀C₂ = Dic₁₃⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	416		(C4xDic13).10C2	416,108
(C₄×Dic₁₃).₁₁C₂ = Dic₁₃.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	416		(C4xDic13).11C2	416,110
(C₄×Dic₁₃).₁₂C₂ = C₅₂⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	416		(C4xDic13).12C2	416,76
(C₄×Dic₁₃).₁₃C₂ = C₄×C₁₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×Dic₁₃	416		(C4xDic13).13C2	416,75
(C₄×Dic₁₃).₁₄C₂ = C₈×Dic₁₃	φ: trivial image	416		(C4xDic13).14C2	416,20

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