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

Direct product G=N×Q with N=C7×C2.C42 and Q=C2
dρLabelID
C14×C2.C42448C14xC2.C4^2448,783

Semidirect products G=N:Q with N=C7×C2.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C2.C42)⋊1C2 = (C22×D7).9D4φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):1C2448,209
(C7×C2.C42)⋊2C2 = (C22×D7).Q8φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):2C2448,210
(C7×C2.C42)⋊3C2 = C7×C23.7Q8φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):3C2448,788
(C7×C2.C42)⋊4C2 = C7×C23.34D4φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):4C2448,789
(C7×C2.C42)⋊5C2 = C7×C24.C22φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):5C2448,796
(C7×C2.C42)⋊6C2 = C7×C23.Q8φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):6C2448,804
(C7×C2.C42)⋊7C2 = C7×C23.11D4φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):7C2448,805
(C7×C2.C42)⋊8C2 = (C2×C28)⋊5D4φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):8C2448,205
(C7×C2.C42)⋊9C2 = (C2×Dic7)⋊3D4φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):9C2448,206
(C7×C2.C42)⋊10C2 = (C2×C4).20D28φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):10C2448,207
(C7×C2.C42)⋊11C2 = (C2×C4).21D28φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):11C2448,208
(C7×C2.C42)⋊12C2 = (C2×C28).33D4φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):12C2448,211
(C7×C2.C42)⋊13C2 = C14.C4≀C2φ: C2/C1C2 ⊆ Out C7×C2.C42112(C7xC2.C4^2):13C2448,8
(C7×C2.C42)⋊14C2 = (C2×C4)⋊9D28φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):14C2448,199
(C7×C2.C42)⋊15C2 = D14⋊C4⋊C4φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):15C2448,202
(C7×C2.C42)⋊16C2 = C2.(C4×D28)φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):16C2448,204
(C7×C2.C42)⋊17C2 = D7×C2.C42φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):17C2448,197
(C7×C2.C42)⋊18C2 = C22.58(D4×D7)φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):18C2448,198
(C7×C2.C42)⋊19C2 = D14⋊C42φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):19C2448,200
(C7×C2.C42)⋊20C2 = D14⋊(C4⋊C4)φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):20C2448,201
(C7×C2.C42)⋊21C2 = D14⋊C45C4φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):21C2448,203
(C7×C2.C42)⋊22C2 = C7×C22.SD16φ: C2/C1C2 ⊆ Out C7×C2.C42112(C7xC2.C4^2):22C2448,131
(C7×C2.C42)⋊23C2 = C7×C23.8Q8φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):23C2448,793
(C7×C2.C42)⋊24C2 = C7×C23.23D4φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):24C2448,794
(C7×C2.C42)⋊25C2 = C7×C232D4φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):25C2448,800
(C7×C2.C42)⋊26C2 = C7×C23⋊Q8φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):26C2448,801
(C7×C2.C42)⋊27C2 = C7×C23.10D4φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):27C2448,802
(C7×C2.C42)⋊28C2 = C7×C23.4Q8φ: C2/C1C2 ⊆ Out C7×C2.C42224(C7xC2.C4^2):28C2448,807
(C7×C2.C42)⋊29C2 = C22⋊C4×C28φ: trivial image224(C7xC2.C4^2):29C2448,785

Non-split extensions G=N.Q with N=C7×C2.C42 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C2.C42).1C2 = (C2×Dic7).Q8φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).1C2448,192
(C7×C2.C42).2C2 = (C22×C4).D14φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).2C2448,196
(C7×C2.C42).3C2 = C7×C428C4φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).3C2448,790
(C7×C2.C42).4C2 = C7×C425C4φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).4C2448,791
(C7×C2.C42).5C2 = C7×C23.63C23φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).5C2448,795
(C7×C2.C42).6C2 = C7×C23.83C23φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).6C2448,808
(C7×C2.C42).7C2 = C7×C23.84C23φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).7C2448,809
(C7×C2.C42).8C2 = (C2×Dic7)⋊Q8φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).8C2448,190
(C7×C2.C42).9C2 = C2.(C28⋊Q8)φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).9C2448,191
(C7×C2.C42).10C2 = (C2×C28).28D4φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).10C2448,193
(C7×C2.C42).11C2 = (C2×C4).Dic14φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).11C2448,194
(C7×C2.C42).12C2 = C14.(C4⋊Q8)φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).12C2448,195
(C7×C2.C42).13C2 = C4⋊Dic7⋊C4φ: C2/C1C2 ⊆ Out C7×C2.C42112(C7xC2.C4^2).13C2448,9
(C7×C2.C42).14C2 = (C2×C28)⋊Q8φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).14C2448,180
(C7×C2.C42).15C2 = C14.(C4×Q8)φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).15C2448,181
(C7×C2.C42).16C2 = C4⋊Dic77C4φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).16C2448,187
(C7×C2.C42).17C2 = C4⋊Dic78C4φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).17C2448,188
(C7×C2.C42).18C2 = C14.(C4×D4)φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).18C2448,189
(C7×C2.C42).19C2 = Dic7.5C42φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).19C2448,182
(C7×C2.C42).20C2 = Dic7⋊C42φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).20C2448,183
(C7×C2.C42).21C2 = C7⋊(C428C4)φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).21C2448,184
(C7×C2.C42).22C2 = C7⋊(C425C4)φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).22C2448,185
(C7×C2.C42).23C2 = Dic7⋊C4⋊C4φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).23C2448,186
(C7×C2.C42).24C2 = C7×C23.31D4φ: C2/C1C2 ⊆ Out C7×C2.C42112(C7xC2.C4^2).24C2448,132
(C7×C2.C42).25C2 = C7×C23.65C23φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).25C2448,797
(C7×C2.C42).26C2 = C7×C23.67C23φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).26C2448,799
(C7×C2.C42).27C2 = C7×C23.78C23φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).27C2448,803
(C7×C2.C42).28C2 = C7×C23.81C23φ: C2/C1C2 ⊆ Out C7×C2.C42448(C7xC2.C4^2).28C2448,806
(C7×C2.C42).29C2 = C7×C424C4φ: trivial image448(C7xC2.C4^2).29C2448,784
(C7×C2.C42).30C2 = C4⋊C4×C28φ: trivial image448(C7xC2.C4^2).30C2448,786

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