Extensions 1→N→G→Q→1 with N=C₇×C₄².C₂ and Q=C₂

Direct product G=N×Q with N=C₇×C₄².C₂ and Q=C₂

		d	ρ	Label	ID
C₁₄×C₄².C₂		448		C14xC4^2.C2	448,1310

Semidirect products G=N:Q with N=C₇×C₄².C₂ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₇×C₄².C₂)⋊₁C₂ = D₂₈.₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):1C2	448,600
(C₇×C₄².C₂)⋊₂C₂ = C₄².₇₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):2C2	448,601
(C₇×C₄².C₂)⋊₃C₂ = C₄².₂₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):3C2	448,602
(C₇×C₄².C₂)⋊₄C₂ = D₇×C₄².C₂	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):4C2	448,1140
(C₇×C₄².C₂)⋊₅C₂ = C₄².₂₃₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):5C2	448,1141
(C₇×C₄².C₂)⋊₆C₂ = C₄².₁₄₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):6C2	448,1142
(C₇×C₄².C₂)⋊₇C₂ = D₂₈⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):7C2	448,1143
(C₇×C₄².C₂)⋊₈C₂ = C₄².₂₃₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):8C2	448,1144
(C₇×C₄².C₂)⋊₉C₂ = C₄².₁₅₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):9C2	448,1145
(C₇×C₄².C₂)⋊₁₀C₂ = C₄².₁₅₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):10C2	448,1146
(C₇×C₄².C₂)⋊₁₁C₂ = C₄².₁₅₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):11C2	448,1147
(C₇×C₄².C₂)⋊₁₂C₂ = C₄².₁₅₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):12C2	448,1148
(C₇×C₄².C₂)⋊₁₃C₂ = C₄².₁₅₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):13C2	448,1149
(C₇×C₄².C₂)⋊₁₄C₂ = C₄².₁₅₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):14C2	448,1150
(C₇×C₄².C₂)⋊₁₅C₂ = C₄².₁₅₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):15C2	448,1151
(C₇×C₄².C₂)⋊₁₆C₂ = C₄².₁₅₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):16C2	448,1152
(C₇×C₄².C₂)⋊₁₇C₂ = C₄².₁₅₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):17C2	448,1153
(C₇×C₄².C₂)⋊₁₈C₂ = C₇×D₄.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):18C2	448,886
(C₇×C₄².C₂)⋊₁₉C₂ = C₇×C₄².₇₈C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):19C2	448,896
(C₇×C₄².C₂)⋊₂₀C₂ = C₇×C₄².₂₉C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):20C2	448,898
(C₇×C₄².C₂)⋊₂₁C₂ = C₇×C₂².₃₃C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):21C2	448,1322
(C₇×C₄².C₂)⋊₂₂C₂ = C₇×C₂².₃₄C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):22C2	448,1323
(C₇×C₄².C₂)⋊₂₃C₂ = C₇×C₂².₃₅C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):23C2	448,1324
(C₇×C₄².C₂)⋊₂₄C₂ = C₇×C₂³.₄₁C₂³	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):24C2	448,1327
(C₇×C₄².C₂)⋊₂₅C₂ = C₇×C₂².₄₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):25C2	448,1335
(C₇×C₄².C₂)⋊₂₆C₂ = C₇×C₂².₄₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):26C2	448,1336
(C₇×C₄².C₂)⋊₂₇C₂ = C₇×D₄⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):27C2	448,1337
(C₇×C₄².C₂)⋊₂₈C₂ = C₇×C₂².₅₆C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):28C2	448,1345
(C₇×C₄².C₂)⋊₂₉C₂ = C₇×C₂².₅₇C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	224	(C7xC4^2.C2):29C2	448,1346
(C₇×C₄².C₂)⋊₃₀C₂ = C₇×C₂³.₃₆C₂³	φ: trivial image	224	(C7xC4^2.C2):30C2	448,1312
(C₇×C₄².C₂)⋊₃₁C₂ = C₇×C₂³.₃₇C₂³	φ: trivial image	224	(C7xC4^2.C2):31C2	448,1316

Non-split extensions G=N.Q with N=C₇×C₄².C₂ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
(C₇×C₄².C₂).₁C₂ = Dic₁₄.₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	448	(C7xC4^2.C2).1C2	448,597
(C₇×C₄².C₂).₂C₂ = C₄².₂₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	448	(C7xC4^2.C2).2C2	448,598
(C₇×C₄².C₂).₃C₂ = C₄².₆₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	448	(C7xC4^2.C2).3C2	448,599
(C₇×C₄².C₂).₄C₂ = C₄².₇₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	448	(C7xC4^2.C2).4C2	448,603
(C₇×C₄².C₂).₅C₂ = Dic₁₄⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	448	(C7xC4^2.C2).5C2	448,1138
(C₇×C₄².C₂).₆C₂ = C₄².₁₄₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	448	(C7xC4^2.C2).6C2	448,1139
(C₇×C₄².C₂).₇C₂ = C₄².₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	448	(C7xC4^2.C2).7C2	448,100
(C₇×C₄².C₂).₈C₂ = C₇×C₄².₂C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	448	(C7xC4^2.C2).8C2	448,134
(C₇×C₄².C₂).₉C₂ = C₇×Q₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	448	(C7xC4^2.C2).9C2	448,887
(C₇×C₄².C₂).₁₀C₂ = C₇×C₄².₃₀C₂²	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	448	(C7xC4^2.C2).10C2	448,899
(C₇×C₄².C₂).₁₁C₂ = C₇×C₈.₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	448	(C7xC4^2.C2).11C2	448,907
(C₇×C₄².C₂).₁₂C₂ = C₇×C₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	448	(C7xC4^2.C2).12C2	448,909
(C₇×C₄².C₂).₁₃C₂ = C₇×Q₈⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	448	(C7xC4^2.C2).13C2	448,1340
(C₇×C₄².C₂).₁₄C₂ = C₇×C₂².₅₈C₂⁴	φ: C₂/C₁ → C₂ ⊆ Out C₇×C₄².C₂	448	(C7xC4^2.C2).14C2	448,1347

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Extensions 1→N→G→Q→1 with N=C7×C42.C2 and Q=C2

Extensions 1→N→G→Q→1 with N=C₇×C₄².C₂ and Q=C₂