Extensions 1→N→G→Q→1 with N=C₂xC₄xD₁₃ and Q=C₂

Direct product G=NxQ with N=C₂xC₄xD₁₃ and Q=C₂

		d	ρ	Label	ID
C₂²xC₄xD₁₃		208		C2^2xC4xD13	416,213

Semidirect products G=N:Q with N=C₂xC₄xD₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₄xD₁₃):₁C₂ = C₄:₂D₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13):1C2	416,116
(C₂xC₄xD₁₃):₂C₂ = C₅₂:₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13):2C2	416,159
(C₂xC₄xD₁₃):₃C₂ = C₂xD₄xD₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	104		(C2xC4xD13):3C2	416,216
(C₂xC₄xD₁₃):₄C₂ = C₂xD₄:₂D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13):4C2	416,217
(C₂xC₄xD₁₃):₅C₂ = C₂xD₅₂:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13):5C2	416,220
(C₂xC₄xD₁₃):₆C₂ = C₄oD₄xD₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	104	4	(C2xC4xD13):6C2	416,222
(C₂xC₄xD₁₃):₇C₂ = C₄xD₅₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13):7C2	416,94
(C₂xC₄xD₁₃):₈C₂ = C₂²:C₄xD₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	104		(C2xC4xD13):8C2	416,101
(C₂xC₄xD₁₃):₉C₂ = Dic₁₃:₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13):9C2	416,102
(C₂xC₄xD₁₃):₁₀C₂ = D₂₆.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13):10C2	416,104
(C₂xC₄xD₁₃):₁₁C₂ = D₂₆:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13):11C2	416,105
(C₂xC₄xD₁₃):₁₂C₂ = D₅₂:₈C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13):12C2	416,114
(C₂xC₄xD₁₃):₁₃C₂ = D₂₆.₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13):13C2	416,115
(C₂xC₄xD₁₃):₁₄C₂ = C₄xC₁₃:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13):14C2	416,149
(C₂xC₄xD₁₃):₁₅C₂ = C₂xD₅₂:₅C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13):15C2	416,215

Non-split extensions G=N.Q with N=C₂xC₄xD₁₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xC₄xD₁₃).₁C₂ = C₄:C₄xD₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13).1C2	416,112
(C₂xC₄xD₁₃).₂C₂ = C₄:C₄:₇D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13).2C2	416,113
(C₂xC₄xD₁₃).₃C₂ = D₂₆:₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13).3C2	416,118
(C₂xC₄xD₁₃).₄C₂ = M₄(2)xD₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	104	4	(C2xC4xD13).4C2	416,127
(C₂xC₄xD₁₃).₅C₂ = D₂₆:₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13).5C2	416,167
(C₂xC₄xD₁₃).₆C₂ = C₂xQ₈xD₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13).6C2	416,219
(C₂xC₄xD₁₃).₇C₂ = D₂₆:₁C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13).7C2	416,27
(C₂xC₄xD₁₃).₈C₂ = D₂₆:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13).8C2	416,78
(C₂xC₄xD₁₃).₉C₂ = D₂₆.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	104		(C2xC4xD13).9C2	416,81
(C₂xC₄xD₁₃).₁₀C₂ = C₄²:D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13).10C2	416,93
(C₂xC₄xD₁₃).₁₁C₂ = D₂₆:Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13).11C2	416,117
(C₂xC₄xD₁₃).₁₂C₂ = C₂xC₈:D₁₃	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13).12C2	416,121
(C₂xC₄xD₁₃).₁₃C₂ = C₂xC₅₂.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13).13C2	416,200
(C₂xC₄xD₁₃).₁₄C₂ = C₂xC₅₂:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	104		(C2xC4xD13).14C2	416,203
(C₂xC₄xD₁₃).₁₅C₂ = D₁₃:M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	104	4	(C2xC4xD13).15C2	416,201
(C₂xC₄xD₁₃).₁₆C₂ = D₂₆.C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	104	4	(C2xC4xD13).16C2	416,204
(C₂xC₄xD₁₃).₁₇C₂ = C₂xD₁₃:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	208		(C2xC4xD13).17C2	416,199
(C₂xC₄xD₁₃).₁₈C₂ = C₂xC₄xC₁₃:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xC₄xD₁₃	104		(C2xC4xD13).18C2	416,202
(C₂xC₄xD₁₃).₁₉C₂ = C₄²xD₁₃	φ: trivial image	208		(C2xC4xD13).19C2	416,92
(C₂xC₄xD₁₃).₂₀C₂ = C₂xC₈xD₁₃	φ: trivial image	208		(C2xC4xD13).20C2	416,120

Extensions 1→N→G→Q→1 with N=C2xC4xD13 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂xC₄xD₁₃ and Q=C₂