Extensions 1→N→G→Q→1 with N=D4.S3 and Q=C22

Direct product G=NxQ with N=D4.S3 and Q=C22
dρLabelID
C22xD4.S396C2^2xD4.S3192,1353

Semidirect products G=N:Q with N=D4.S3 and Q=C22
extensionφ:Q→Out NdρLabelID
D4.S3:1C22 = D8:13D6φ: C22/C1C22 ⊆ Out D4.S3484D4.S3:1C2^2192,1316
D4.S3:2C22 = SD16:13D6φ: C22/C1C22 ⊆ Out D4.S3484D4.S3:2C2^2192,1321
D4.S3:3C22 = D8:11D6φ: C22/C1C22 ⊆ Out D4.S3484D4.S3:3C2^2192,1329
D4.S3:4C22 = S3xC8:C22φ: C22/C1C22 ⊆ Out D4.S3248+D4.S3:4C2^2192,1331
D4.S3:5C22 = D8:4D6φ: C22/C1C22 ⊆ Out D4.S3488-D4.S3:5C2^2192,1332
D4.S3:6C22 = S3xC8.C22φ: C22/C1C22 ⊆ Out D4.S3488-D4.S3:6C2^2192,1335
D4.S3:7C22 = C2xD8:S3φ: C22/C2C2 ⊆ Out D4.S348D4.S3:7C2^2192,1314
D4.S3:8C22 = C2xD8:3S3φ: C22/C2C2 ⊆ Out D4.S396D4.S3:8C2^2192,1315
D4.S3:9C22 = C2xS3xSD16φ: C22/C2C2 ⊆ Out D4.S348D4.S3:9C2^2192,1317
D4.S3:10C22 = C2xD4.D6φ: C22/C2C2 ⊆ Out D4.S396D4.S3:10C2^2192,1319
D4.S3:11C22 = S3xC4oD8φ: C22/C2C2 ⊆ Out D4.S3484D4.S3:11C2^2192,1326
D4.S3:12C22 = SD16:D6φ: C22/C2C2 ⊆ Out D4.S3484D4.S3:12C2^2192,1327
D4.S3:13C22 = D8:5D6φ: C22/C2C2 ⊆ Out D4.S3488+D4.S3:13C2^2192,1333
D4.S3:14C22 = D8:6D6φ: C22/C2C2 ⊆ Out D4.S3488-D4.S3:14C2^2192,1334
D4.S3:15C22 = C24.C23φ: C22/C2C2 ⊆ Out D4.S3488+D4.S3:15C2^2192,1337
D4.S3:16C22 = C2xD12:6C22φ: C22/C2C2 ⊆ Out D4.S348D4.S3:16C2^2192,1352
D4.S3:17C22 = C12.C24φ: C22/C2C2 ⊆ Out D4.S3484D4.S3:17C2^2192,1381
D4.S3:18C22 = C2xQ8.14D6φ: C22/C2C2 ⊆ Out D4.S396D4.S3:18C2^2192,1382
D4.S3:19C22 = D12.32C23φ: C22/C2C2 ⊆ Out D4.S3488+D4.S3:19C2^2192,1394
D4.S3:20C22 = C2xQ8.13D6φ: trivial image96D4.S3:20C2^2192,1380
D4.S3:21C22 = D12.33C23φ: trivial image488-D4.S3:21C2^2192,1395
D4.S3:22C22 = D12.34C23φ: trivial image488+D4.S3:22C2^2192,1396

Non-split extensions G=N.Q with N=D4.S3 and Q=C22
extensionφ:Q→Out NdρLabelID
D4.S3.C22 = D8.10D6φ: C22/C1C22 ⊆ Out D4.S3964-D4.S3.C2^2192,1330
D4.S3.2C22 = SD16.D6φ: C22/C2C2 ⊆ Out D4.S3968-D4.S3.2C2^2192,1338
D4.S3.3C22 = D12.35C23φ: C22/C2C2 ⊆ Out D4.S3968-D4.S3.3C2^2192,1397

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