Extensions 1→N→G→Q→1 with N=D₇xC₄² and Q=C₂

Direct product G=NxQ with N=D₇xC₄² and Q=C₂

		d	ρ	Label	ID
D₇xC₂xC₄²		224		D7xC2xC4^2	448,924

Semidirect products G=N:Q with N=D₇xC₄² and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₇xC₄²):₁C₂ = D₇xC₄wrC₂	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	56	4	(D7xC4^2):1C2	448,354
(D₇xC₄²):₂C₂ = C₄xD₄:₂D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224		(D7xC4^2):2C2	448,989
(D₇xC₄²):₃C₂ = C₄xD₄xD₇	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	112		(D7xC4^2):3C2	448,997
(D₇xC₄²):₄C₂ = C₄².₂₂₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224		(D7xC4^2):4C2	448,1001
(D₇xC₄²):₅C₂ = C₄².₂₂₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224		(D7xC4^2):5C2	448,1010
(D₇xC₄²):₆C₂ = C₄xQ₈:₂D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224		(D7xC4^2):6C2	448,1026
(D₇xC₄²):₇C₂ = C₄².₁₃₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224		(D7xC4^2):7C2	448,1033
(D₇xC₄²):₈C₂ = C₄².₂₃₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224		(D7xC4^2):8C2	448,1121
(D₇xC₄²):₉C₂ = D₇xC₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	112		(D7xC4^2):9C2	448,1126
(D₇xC₄²):₁₀C₂ = C₄².₂₃₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224		(D7xC4^2):10C2	448,1133
(D₇xC₄²):₁₁C₂ = C₄².₂₃₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224		(D7xC4^2):11C2	448,1144
(D₇xC₄²):₁₂C₂ = D₇xC₄:₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	112		(D7xC4^2):12C2	448,1167
(D₇xC₄²):₁₃C₂ = C₄².₂₃₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224		(D7xC4^2):13C2	448,1169
(D₇xC₄²):₁₄C₂ = C₄².₂₄₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224		(D7xC4^2):14C2	448,1178
(D₇xC₄²):₁₅C₂ = C₄xC₄oD₂₈	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224		(D7xC4^2):15C2	448,927
(D₇xC₄²):₁₆C₂ = D₇xC₄²:C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	112		(D7xC4^2):16C2	448,973
(D₇xC₄²):₁₇C₂ = C₄².₁₈₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224		(D7xC4^2):17C2	448,975
(D₇xC₄²):₁₈C₂ = C₄².₉₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224		(D7xC4^2):18C2	448,981
(D₇xC₄²):₁₉C₂ = D₇xC₄²:₂C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	112		(D7xC4^2):19C2	448,1156
(D₇xC₄²):₂₀C₂ = C₄².₁₈₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224		(D7xC4^2):20C2	448,1159

Non-split extensions G=N.Q with N=D₇xC₄² and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(D₇xC₄²).₁C₂ = D₇xC₄:C₈	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224	(D7xC4^2).1C2	448,366
(D₇xC₄²).₂C₂ = C₄².₂₀₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224	(D7xC4^2).2C2	448,367
(D₇xC₄²).₃C₂ = C₄².₂₀₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224	(D7xC4^2).3C2	448,369
(D₇xC₄²).₄C₂ = C₂₈:M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224	(D7xC4^2).4C2	448,371
(D₇xC₄²).₅C₂ = C₄xQ₈xD₇	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224	(D7xC4^2).5C2	448,1024
(D₇xC₄²).₆C₂ = C₄².₂₃₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224	(D7xC4^2).6C2	448,1031
(D₇xC₄²).₇C₂ = D₇xC₄².C₂	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224	(D7xC4^2).7C2	448,1140
(D₇xC₄²).₈C₂ = C₄².₂₃₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224	(D7xC4^2).8C2	448,1141
(D₇xC₄²).₉C₂ = D₇xC₄:Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224	(D7xC4^2).9C2	448,1176
(D₇xC₄²).₁₀C₂ = C₄².₂₄₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224	(D7xC4^2).10C2	448,1181
(D₇xC₄²).₁₁C₂ = C₄².₂₈₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224	(D7xC4^2).11C2	448,219
(D₇xC₄²).₁₂C₂ = C₄xC₈:D₇	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224	(D7xC4^2).12C2	448,221
(D₇xC₄²).₁₃C₂ = D₇xC₈:C₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224	(D7xC4^2).13C2	448,238
(D₇xC₄²).₁₄C₂ = C₄².₁₈₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224	(D7xC4^2).14C2	448,239
(D₇xC₄²).₁₅C₂ = Dic₇.C₄²	φ: C₂/C₁ → C₂ ⊆ Out D₇xC₄²	224	(D7xC4^2).15C2	448,241
(D₇xC₄²).₁₆C₂ = D₇xC₄xC₈	φ: trivial image	224	(D7xC4^2).16C2	448,218

Extensions 1→N→G→Q→1 with N=D7xC42 and Q=C2

Extensions 1→N→G→Q→1 with N=D₇xC₄² and Q=C₂