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Extensions 1→N→G→Q→1 with N=C7×C4⋊Q8 and Q=C2

Direct product G=N×Q with N=C7×C4⋊Q8 and Q=C2
dρLabelID
C14×C4⋊Q8448C14xC4:Q8448,1314

Semidirect products G=N:Q with N=C7×C4⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4⋊Q8)⋊1C2 = C28⋊5SD16φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):1C2448,617
(C7×C4⋊Q8)⋊2C2 = D28⋊5Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):2C2448,618
(C7×C4⋊Q8)⋊3C2 = C28⋊6SD16φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):3C2448,619
(C7×C4⋊Q8)⋊4C2 = C42.80D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):4C2448,620
(C7×C4⋊Q8)⋊5C2 = D28⋊6Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):5C2448,621
(C7×C4⋊Q8)⋊6C2 = C28.D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):6C2448,622
(C7×C4⋊Q8)⋊7C2 = C42.82D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):7C2448,623
(C7×C4⋊Q8)⋊8C2 = D28.15D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q81124(C7xC4:Q8):8C2448,629
(C7×C4⋊Q8)⋊9C2 = D7×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):9C2448,1176
(C7×C4⋊Q8)⋊10C2 = C42.171D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):10C2448,1177
(C7×C4⋊Q8)⋊11C2 = C42.240D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):11C2448,1178
(C7×C4⋊Q8)⋊12C2 = D28⋊12D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):12C2448,1179
(C7×C4⋊Q8)⋊13C2 = D28⋊8Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):13C2448,1180
(C7×C4⋊Q8)⋊14C2 = C42.241D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):14C2448,1181
(C7×C4⋊Q8)⋊15C2 = C42.174D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):15C2448,1182
(C7×C4⋊Q8)⋊16C2 = D28⋊9Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):16C2448,1183
(C7×C4⋊Q8)⋊17C2 = C42.176D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):17C2448,1184
(C7×C4⋊Q8)⋊18C2 = C42.177D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):18C2448,1185
(C7×C4⋊Q8)⋊19C2 = C42.178D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):19C2448,1186
(C7×C4⋊Q8)⋊20C2 = C42.179D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):20C2448,1187
(C7×C4⋊Q8)⋊21C2 = C42.180D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):21C2448,1188
(C7×C4⋊Q8)⋊22C2 = C7×D4.10D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q81124(C7xC4:Q8):22C2448,864
(C7×C4⋊Q8)⋊23C2 = C7×D4.D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):23C2448,869
(C7×C4⋊Q8)⋊24C2 = C7×D4⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):24C2448,882
(C7×C4⋊Q8)⋊25C2 = C7×D4⋊2Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):25C2448,884
(C7×C4⋊Q8)⋊26C2 = C7×C4.4D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):26C2448,894
(C7×C4⋊Q8)⋊27C2 = C7×C42.28C22φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):27C2448,897
(C7×C4⋊Q8)⋊28C2 = C7×C8⋊5D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):28C2448,900
(C7×C4⋊Q8)⋊29C2 = C7×C8.2D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):29C2448,905
(C7×C4⋊Q8)⋊30C2 = C7×C23.38C23φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):30C2448,1319
(C7×C4⋊Q8)⋊31C2 = C7×C22.35C24φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):31C2448,1324
(C7×C4⋊Q8)⋊32C2 = C7×C22.36C24φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):32C2448,1325
(C7×C4⋊Q8)⋊33C2 = C7×C23.41C23φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):33C2448,1327
(C7×C4⋊Q8)⋊34C2 = C7×D4⋊6D4φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):34C2448,1330
(C7×C4⋊Q8)⋊35C2 = C7×D4×Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):35C2448,1332
(C7×C4⋊Q8)⋊36C2 = C7×D4⋊3Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):36C2448,1337
(C7×C4⋊Q8)⋊37C2 = C7×C22.49C24φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):37C2448,1338
(C7×C4⋊Q8)⋊38C2 = C7×C22.50C24φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):38C2448,1339
(C7×C4⋊Q8)⋊39C2 = C7×C22.57C24φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8224(C7xC4:Q8):39C2448,1346
(C7×C4⋊Q8)⋊40C2 = C7×C22.26C24φ: trivial image224(C7xC4:Q8):40C2448,1315
(C7×C4⋊Q8)⋊41C2 = C7×C23.37C23φ: trivial image224(C7xC4:Q8):41C2448,1316

Non-split extensions G=N.Q with N=C7×C4⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C4⋊Q8).1C2 = C28.5Q16φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).1C2448,103
(C7×C4⋊Q8).2C2 = C28.10D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).2C2448,104
(C7×C4⋊Q8).3C2 = C42.3Dic7φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q81124(C7xC4:Q8).3C2448,105
(C7×C4⋊Q8).4C2 = C28.17D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).4C2448,612
(C7×C4⋊Q8).5C2 = C28.SD16φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).5C2448,613
(C7×C4⋊Q8).6C2 = C42.76D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).6C2448,614
(C7×C4⋊Q8).7C2 = C28.Q16φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).7C2448,615
(C7×C4⋊Q8).8C2 = C42.77D14φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).8C2448,616
(C7×C4⋊Q8).9C2 = C28⋊Q16φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).9C2448,624
(C7×C4⋊Q8).10C2 = Dic14⋊5Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).10C2448,625
(C7×C4⋊Q8).11C2 = C28⋊3Q16φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).11C2448,626
(C7×C4⋊Q8).12C2 = C28.11Q16φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).12C2448,627
(C7×C4⋊Q8).13C2 = Dic14⋊6Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).13C2448,628
(C7×C4⋊Q8).14C2 = Dic14⋊8Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).14C2448,1174
(C7×C4⋊Q8).15C2 = Dic14⋊9Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).15C2448,1175
(C7×C4⋊Q8).16C2 = C7×C4.10D8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).16C2448,136
(C7×C4⋊Q8).17C2 = C7×C4.6Q16φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).17C2448,137
(C7×C4⋊Q8).18C2 = C7×C42.3C4φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q81124(C7xC4:Q8).18C2448,160
(C7×C4⋊Q8).19C2 = C7×C4⋊2Q16φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).19C2448,870
(C7×C4⋊Q8).20C2 = C7×Q8⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).20C2448,883
(C7×C4⋊Q8).21C2 = C7×C4.Q16φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).21C2448,885
(C7×C4⋊Q8).22C2 = C7×C4.SD16φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).22C2448,895
(C7×C4⋊Q8).23C2 = C7×C42.30C22φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).23C2448,899
(C7×C4⋊Q8).24C2 = C7×C4⋊Q16φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).24C2448,902
(C7×C4⋊Q8).25C2 = C7×C8⋊3Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).25C2448,906
(C7×C4⋊Q8).26C2 = C7×C8⋊2Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).26C2448,908
(C7×C4⋊Q8).27C2 = C7×C8⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).27C2448,909
(C7×C4⋊Q8).28C2 = C7×Q8⋊3Q8φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).28C2448,1340
(C7×C4⋊Q8).29C2 = C7×Q82φ: C2/C1 → C2 ⊆ Out C7×C4⋊Q8448(C7xC4:Q8).29C2448,1341

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