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Extensions 1→N→G→Q→1 with N=C7×C22⋊Q8 and Q=C2

Direct product G=N×Q with N=C7×C22⋊Q8 and Q=C2
dρLabelID
C14×C22⋊Q8224C14xC2^2:Q8448,1306

Semidirect products G=N:Q with N=C7×C22⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C22⋊Q8)⋊1C2 = D28.36D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8112(C7xC2^2:Q8):1C2448,580
(C7×C22⋊Q8)⋊2C2 = D28.37D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):2C2448,581
(C7×C22⋊Q8)⋊3C2 = C7⋊C8⋊24D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):3C2448,582
(C7×C22⋊Q8)⋊4C2 = C7⋊C8⋊6D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):4C2448,583
(C7×C22⋊Q8)⋊5C2 = C22⋊Q8⋊25D7φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):5C2448,1077
(C7×C22⋊Q8)⋊6C2 = D7×C22⋊Q8φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8112(C7xC2^2:Q8):6C2448,1079
(C7×C22⋊Q8)⋊7C2 = C4⋊C4⋊26D14φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8112(C7xC2^2:Q8):7C2448,1080
(C7×C22⋊Q8)⋊8C2 = C14.162- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):8C2448,1081
(C7×C22⋊Q8)⋊9C2 = C14.172- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):9C2448,1082
(C7×C22⋊Q8)⋊10C2 = D28⋊21D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8112(C7xC2^2:Q8):10C2448,1083
(C7×C22⋊Q8)⋊11C2 = D28⋊22D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):11C2448,1084
(C7×C22⋊Q8)⋊12C2 = Dic14⋊21D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):12C2448,1085
(C7×C22⋊Q8)⋊13C2 = Dic14⋊22D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):13C2448,1086
(C7×C22⋊Q8)⋊14C2 = C14.512+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8112(C7xC2^2:Q8):14C2448,1087
(C7×C22⋊Q8)⋊15C2 = C14.1182+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):15C2448,1088
(C7×C22⋊Q8)⋊16C2 = C14.522+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):16C2448,1089
(C7×C22⋊Q8)⋊17C2 = C14.532+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8112(C7xC2^2:Q8):17C2448,1090
(C7×C22⋊Q8)⋊18C2 = C14.202- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):18C2448,1091
(C7×C22⋊Q8)⋊19C2 = C14.212- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):19C2448,1092
(C7×C22⋊Q8)⋊20C2 = C14.222- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):20C2448,1093
(C7×C22⋊Q8)⋊21C2 = C14.232- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):21C2448,1094
(C7×C22⋊Q8)⋊22C2 = C14.772- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):22C2448,1095
(C7×C22⋊Q8)⋊23C2 = C14.242- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):23C2448,1096
(C7×C22⋊Q8)⋊24C2 = C14.562+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8112(C7xC2^2:Q8):24C2448,1097
(C7×C22⋊Q8)⋊25C2 = C14.572+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):25C2448,1098
(C7×C22⋊Q8)⋊26C2 = C14.582+ 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):26C2448,1099
(C7×C22⋊Q8)⋊27C2 = C14.262- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):27C2448,1100
(C7×C22⋊Q8)⋊28C2 = C7×C22⋊SD16φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8112(C7xC2^2:Q8):28C2448,858
(C7×C22⋊Q8)⋊29C2 = C7×D4.7D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):29C2448,860
(C7×C22⋊Q8)⋊30C2 = C7×C8⋊8D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):30C2448,873
(C7×C22⋊Q8)⋊31C2 = C7×C8⋊D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):31C2448,876
(C7×C22⋊Q8)⋊32C2 = C7×C23.38C23φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):32C2448,1319
(C7×C22⋊Q8)⋊33C2 = C7×C22.31C24φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):33C2448,1320
(C7×C22⋊Q8)⋊34C2 = C7×C22.32C24φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8112(C7xC2^2:Q8):34C2448,1321
(C7×C22⋊Q8)⋊35C2 = C7×C22.33C24φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):35C2448,1322
(C7×C22⋊Q8)⋊36C2 = C7×C22.36C24φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):36C2448,1325
(C7×C22⋊Q8)⋊37C2 = C7×C23⋊2Q8φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8112(C7xC2^2:Q8):37C2448,1326
(C7×C22⋊Q8)⋊38C2 = C7×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8112(C7xC2^2:Q8):38C2448,1329
(C7×C22⋊Q8)⋊39C2 = C7×D4⋊6D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):39C2448,1330
(C7×C22⋊Q8)⋊40C2 = C7×Q8⋊5D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):40C2448,1331
(C7×C22⋊Q8)⋊41C2 = C7×D4×Q8φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):41C2448,1332
(C7×C22⋊Q8)⋊42C2 = C7×C22.45C24φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8112(C7xC2^2:Q8):42C2448,1334
(C7×C22⋊Q8)⋊43C2 = C7×C22.46C24φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):43C2448,1335
(C7×C22⋊Q8)⋊44C2 = C7×D4⋊3Q8φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):44C2448,1337
(C7×C22⋊Q8)⋊45C2 = C7×C22.50C24φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):45C2448,1339
(C7×C22⋊Q8)⋊46C2 = C7×C22.56C24φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):46C2448,1345
(C7×C22⋊Q8)⋊47C2 = C7×C22.57C24φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8):47C2448,1346
(C7×C22⋊Q8)⋊48C2 = C7×C22.19C24φ: trivial image112(C7xC2^2:Q8):48C2448,1308
(C7×C22⋊Q8)⋊49C2 = C7×C23.36C23φ: trivial image224(C7xC2^2:Q8):49C2448,1312

Non-split extensions G=N.Q with N=C7×C22⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C7×C22⋊Q8).1C2 = C22⋊Q8.D7φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).1C2448,577
(C7×C22⋊Q8).2C2 = (C2×C14).Q16φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).2C2448,578
(C7×C22⋊Q8).3C2 = C14.(C4○D8)φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).3C2448,579
(C7×C22⋊Q8).4C2 = Dic14.37D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).4C2448,584
(C7×C22⋊Q8).5C2 = C7⋊C8.29D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).5C2448,585
(C7×C22⋊Q8).6C2 = C7⋊C8.6D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).6C2448,586
(C7×C22⋊Q8).7C2 = (Q8×Dic7)⋊C2φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).7C2448,1075
(C7×C22⋊Q8).8C2 = C14.752- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).8C2448,1076
(C7×C22⋊Q8).9C2 = C14.152- 1+4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).9C2448,1078
(C7×C22⋊Q8).10C2 = C4⋊C4⋊Dic7φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8112(C7xC2^2:Q8).10C2448,95
(C7×C22⋊Q8).11C2 = C7×C23.31D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8112(C7xC2^2:Q8).11C2448,132
(C7×C22⋊Q8).12C2 = C7×C22⋊Q16φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).12C2448,859
(C7×C22⋊Q8).13C2 = C7×C8.18D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).13C2448,875
(C7×C22⋊Q8).14C2 = C7×C8.D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).14C2448,878
(C7×C22⋊Q8).15C2 = C7×C23.47D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).15C2448,891
(C7×C22⋊Q8).16C2 = C7×C23.48D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).16C2448,892
(C7×C22⋊Q8).17C2 = C7×C23.20D4φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).17C2448,893
(C7×C22⋊Q8).18C2 = C7×C22.35C24φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).18C2448,1324
(C7×C22⋊Q8).19C2 = C7×C23.41C23φ: C2/C1 → C2 ⊆ Out C7×C22⋊Q8224(C7xC2^2:Q8).19C2448,1327
(C7×C22⋊Q8).20C2 = C7×C23.37C23φ: trivial image224(C7xC2^2:Q8).20C2448,1316

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