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Extensions 1→N→G→Q→1 with N=C3×C22.D4 and Q=C2

Direct product G=N×Q with N=C3×C22.D4 and Q=C2
dρLabelID
C6×C22.D496C6xC2^2.D4192,1413

Semidirect products G=N:Q with N=C3×C22.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C22.D4)⋊1C2 = C22⋊C4⋊D6φ: C2/C1 → C2 ⊆ Out C3×C22.D4484(C3xC2^2.D4):1C2192,612
(C3×C22.D4)⋊2C2 = C6.792- 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):2C2192,1207
(C3×C22.D4)⋊3C2 = C4⋊C4.197D6φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):3C2192,1208
(C3×C22.D4)⋊4C2 = S3×C22.D4φ: C2/C1 → C2 ⊆ Out C3×C22.D448(C3xC2^2.D4):4C2192,1211
(C3×C22.D4)⋊5C2 = C6.1202+ 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D448(C3xC2^2.D4):5C2192,1212
(C3×C22.D4)⋊6C2 = C6.1212+ 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D448(C3xC2^2.D4):6C2192,1213
(C3×C22.D4)⋊7C2 = C6.822- 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):7C2192,1214
(C3×C22.D4)⋊8C2 = C4⋊C4⋊28D6φ: C2/C1 → C2 ⊆ Out C3×C22.D448(C3xC2^2.D4):8C2192,1215
(C3×C22.D4)⋊9C2 = C6.612+ 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D448(C3xC2^2.D4):9C2192,1216
(C3×C22.D4)⋊10C2 = C6.1222+ 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D448(C3xC2^2.D4):10C2192,1217
(C3×C22.D4)⋊11C2 = C6.622+ 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D448(C3xC2^2.D4):11C2192,1218
(C3×C22.D4)⋊12C2 = C6.632+ 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):12C2192,1219
(C3×C22.D4)⋊13C2 = C6.642+ 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):13C2192,1220
(C3×C22.D4)⋊14C2 = C6.652+ 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):14C2192,1221
(C3×C22.D4)⋊15C2 = C6.662+ 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):15C2192,1222
(C3×C22.D4)⋊16C2 = C6.672+ 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):16C2192,1223
(C3×C22.D4)⋊17C2 = C6.852- 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):17C2192,1224
(C3×C22.D4)⋊18C2 = C6.682+ 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D448(C3xC2^2.D4):18C2192,1225
(C3×C22.D4)⋊19C2 = C6.692+ 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):19C2192,1226
(C3×C22.D4)⋊20C2 = C3×C23.7D4φ: C2/C1 → C2 ⊆ Out C3×C22.D4484(C3xC2^2.D4):20C2192,891
(C3×C22.D4)⋊21C2 = C3×C23⋊3D4φ: C2/C1 → C2 ⊆ Out C3×C22.D448(C3xC2^2.D4):21C2192,1423
(C3×C22.D4)⋊22C2 = C3×C23.38C23φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):22C2192,1425
(C3×C22.D4)⋊23C2 = C3×C22.32C24φ: C2/C1 → C2 ⊆ Out C3×C22.D448(C3xC2^2.D4):23C2192,1427
(C3×C22.D4)⋊24C2 = C3×C22.33C24φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):24C2192,1428
(C3×C22.D4)⋊25C2 = C3×C22.34C24φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):25C2192,1429
(C3×C22.D4)⋊26C2 = C3×C22.36C24φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):26C2192,1431
(C3×C22.D4)⋊27C2 = C3×D4⋊5D4φ: C2/C1 → C2 ⊆ Out C3×C22.D448(C3xC2^2.D4):27C2192,1435
(C3×C22.D4)⋊28C2 = C3×D4⋊6D4φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):28C2192,1436
(C3×C22.D4)⋊29C2 = C3×C22.45C24φ: C2/C1 → C2 ⊆ Out C3×C22.D448(C3xC2^2.D4):29C2192,1440
(C3×C22.D4)⋊30C2 = C3×C22.47C24φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):30C2192,1442
(C3×C22.D4)⋊31C2 = C3×C22.53C24φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):31C2192,1448
(C3×C22.D4)⋊32C2 = C3×C22.54C24φ: C2/C1 → C2 ⊆ Out C3×C22.D448(C3xC2^2.D4):32C2192,1449
(C3×C22.D4)⋊33C2 = C3×C22.56C24φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4):33C2192,1451
(C3×C22.D4)⋊34C2 = C3×C22.19C24φ: trivial image48(C3xC2^2.D4):34C2192,1414
(C3×C22.D4)⋊35C2 = C3×C23.36C23φ: trivial image96(C3xC2^2.D4):35C2192,1418

Non-split extensions G=N.Q with N=C3×C22.D4 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C22.D4).1C2 = (C22×C12)⋊C4φ: C2/C1 → C2 ⊆ Out C3×C22.D4484(C3xC2^2.D4).1C2192,98
(C3×C22.D4).2C2 = C6.802- 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4).2C2192,1209
(C3×C22.D4).3C2 = C6.812- 1+4φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4).3C2192,1210
(C3×C22.D4).4C2 = C3×C23.D4φ: C2/C1 → C2 ⊆ Out C3×C22.D4484(C3xC2^2.D4).4C2192,158
(C3×C22.D4).5C2 = C3×C22.46C24φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4).5C2192,1441
(C3×C22.D4).6C2 = C3×C22.57C24φ: C2/C1 → C2 ⊆ Out C3×C22.D496(C3xC2^2.D4).6C2192,1452

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