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Extensions 1→N→G→Q→1 with N=C4⋊Q8 and Q=C14

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

Semidirect products G=N:Q with N=C4⋊Q8 and Q=C14
extensionφ:Q→Out NdρLabelID
C4⋊Q8⋊1C14 = C7×D4.10D4φ: C14/C7 → C2 ⊆ Out C4⋊Q81124C4:Q8:1C14448,864
C4⋊Q8⋊2C14 = C7×D4.D4φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:2C14448,869
C4⋊Q8⋊3C14 = C7×D4⋊Q8φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:3C14448,882
C4⋊Q8⋊4C14 = C7×D4⋊2Q8φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:4C14448,884
C4⋊Q8⋊5C14 = C7×C4.4D8φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:5C14448,894
C4⋊Q8⋊6C14 = C7×C42.28C22φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:6C14448,897
C4⋊Q8⋊7C14 = C7×C8⋊5D4φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:7C14448,900
C4⋊Q8⋊8C14 = C7×C8.2D4φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:8C14448,905
C4⋊Q8⋊9C14 = C7×C23.38C23φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:9C14448,1319
C4⋊Q8⋊10C14 = C7×C22.35C24φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:10C14448,1324
C4⋊Q8⋊11C14 = C7×C22.36C24φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:11C14448,1325
C4⋊Q8⋊12C14 = C7×C23.41C23φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:12C14448,1327
C4⋊Q8⋊13C14 = C7×D4⋊6D4φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:13C14448,1330
C4⋊Q8⋊14C14 = C7×D4×Q8φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:14C14448,1332
C4⋊Q8⋊15C14 = C7×D4⋊3Q8φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:15C14448,1337
C4⋊Q8⋊16C14 = C7×C22.49C24φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:16C14448,1338
C4⋊Q8⋊17C14 = C7×C22.50C24φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:17C14448,1339
C4⋊Q8⋊18C14 = C7×C22.57C24φ: C14/C7 → C2 ⊆ Out C4⋊Q8224C4:Q8:18C14448,1346
C4⋊Q8⋊19C14 = C7×C22.26C24φ: trivial image224C4:Q8:19C14448,1315
C4⋊Q8⋊20C14 = C7×C23.37C23φ: trivial image224C4:Q8:20C14448,1316

Non-split extensions G=N.Q with N=C4⋊Q8 and Q=C14
extensionφ:Q→Out NdρLabelID
C4⋊Q8.1C14 = C7×C4.10D8φ: C14/C7 → C2 ⊆ Out C4⋊Q8448C4:Q8.1C14448,136
C4⋊Q8.2C14 = C7×C4.6Q16φ: C14/C7 → C2 ⊆ Out C4⋊Q8448C4:Q8.2C14448,137
C4⋊Q8.3C14 = C7×C42.3C4φ: C14/C7 → C2 ⊆ Out C4⋊Q81124C4:Q8.3C14448,160
C4⋊Q8.4C14 = C7×C4⋊2Q16φ: C14/C7 → C2 ⊆ Out C4⋊Q8448C4:Q8.4C14448,870
C4⋊Q8.5C14 = C7×Q8⋊Q8φ: C14/C7 → C2 ⊆ Out C4⋊Q8448C4:Q8.5C14448,883
C4⋊Q8.6C14 = C7×C4.Q16φ: C14/C7 → C2 ⊆ Out C4⋊Q8448C4:Q8.6C14448,885
C4⋊Q8.7C14 = C7×C4.SD16φ: C14/C7 → C2 ⊆ Out C4⋊Q8448C4:Q8.7C14448,895
C4⋊Q8.8C14 = C7×C42.30C22φ: C14/C7 → C2 ⊆ Out C4⋊Q8448C4:Q8.8C14448,899
C4⋊Q8.9C14 = C7×C4⋊Q16φ: C14/C7 → C2 ⊆ Out C4⋊Q8448C4:Q8.9C14448,902
C4⋊Q8.10C14 = C7×C8⋊3Q8φ: C14/C7 → C2 ⊆ Out C4⋊Q8448C4:Q8.10C14448,906
C4⋊Q8.11C14 = C7×C8⋊2Q8φ: C14/C7 → C2 ⊆ Out C4⋊Q8448C4:Q8.11C14448,908
C4⋊Q8.12C14 = C7×C8⋊Q8φ: C14/C7 → C2 ⊆ Out C4⋊Q8448C4:Q8.12C14448,909
C4⋊Q8.13C14 = C7×Q8⋊3Q8φ: C14/C7 → C2 ⊆ Out C4⋊Q8448C4:Q8.13C14448,1340
C4⋊Q8.14C14 = C7×Q82φ: C14/C7 → C2 ⊆ Out C4⋊Q8448C4:Q8.14C14448,1341

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