Extensions 1→N→G→Q→1 with N=C8⋊S3 and Q=C22

Direct product G=N×Q with N=C8⋊S3 and Q=C22
dρLabelID
C22×C8⋊S396C2^2xC8:S3192,1296

Semidirect products G=N:Q with N=C8⋊S3 and Q=C22
extensionφ:Q→Out NdρLabelID
C8⋊S3⋊1C22 = S3×C8⋊C22φ: C22/C1 → C22 ⊆ Out C8⋊S3248+C8:S3:1C2^2192,1331
C8⋊S3⋊2C22 = D8⋊4D6φ: C22/C1 → C22 ⊆ Out C8⋊S3488-C8:S3:2C2^2192,1332
C8⋊S3⋊3C22 = D8⋊5D6φ: C22/C1 → C22 ⊆ Out C8⋊S3488+C8:S3:3C2^2192,1333
C8⋊S3⋊4C22 = D8⋊6D6φ: C22/C1 → C22 ⊆ Out C8⋊S3488-C8:S3:4C2^2192,1334
C8⋊S3⋊5C22 = S3×C8.C22φ: C22/C1 → C22 ⊆ Out C8⋊S3488-C8:S3:5C2^2192,1335
C8⋊S3⋊6C22 = D24⋊C22φ: C22/C1 → C22 ⊆ Out C8⋊S3488+C8:S3:6C2^2192,1336
C8⋊S3⋊7C22 = C24.C23φ: C22/C1 → C22 ⊆ Out C8⋊S3488+C8:S3:7C2^2192,1337
C8⋊S3⋊8C22 = C2×Q8⋊3D6φ: C22/C2 → C2 ⊆ Out C8⋊S348C8:S3:8C2^2192,1318
C8⋊S3⋊9C22 = C2×D4.D6φ: C22/C2 → C2 ⊆ Out C8⋊S396C8:S3:9C2^2192,1319
C8⋊S3⋊10C22 = SD16⋊13D6φ: C22/C2 → C2 ⊆ Out C8⋊S3484C8:S3:10C2^2192,1321
C8⋊S3⋊11C22 = D8⋊15D6φ: C22/C2 → C2 ⊆ Out C8⋊S3484+C8:S3:11C2^2192,1328
C8⋊S3⋊12C22 = C2×D8⋊S3φ: C22/C2 → C2 ⊆ Out C8⋊S348C8:S3:12C2^2192,1314
C8⋊S3⋊13C22 = D8⋊13D6φ: C22/C2 → C2 ⊆ Out C8⋊S3484C8:S3:13C2^2192,1316
C8⋊S3⋊14C22 = C2×Q16⋊S3φ: C22/C2 → C2 ⊆ Out C8⋊S396C8:S3:14C2^2192,1323
C8⋊S3⋊15C22 = SD16⋊D6φ: C22/C2 → C2 ⊆ Out C8⋊S3484C8:S3:15C2^2192,1327
C8⋊S3⋊16C22 = D8⋊11D6φ: C22/C2 → C2 ⊆ Out C8⋊S3484C8:S3:16C2^2192,1329
C8⋊S3⋊17C22 = C2×S3×M4(2)φ: C22/C2 → C2 ⊆ Out C8⋊S348C8:S3:17C2^2192,1302
C8⋊S3⋊18C22 = C2×D12.C4φ: C22/C2 → C2 ⊆ Out C8⋊S396C8:S3:18C2^2192,1303
C8⋊S3⋊19C22 = M4(2)⋊26D6φ: C22/C2 → C2 ⊆ Out C8⋊S3484C8:S3:19C2^2192,1304
C8⋊S3⋊20C22 = S3×C8○D4φ: C22/C2 → C2 ⊆ Out C8⋊S3484C8:S3:20C2^2192,1308
C8⋊S3⋊21C22 = C2×C8○D12φ: trivial image96C8:S3:21C2^2192,1297
C8⋊S3⋊22C22 = M4(2)⋊28D6φ: trivial image484C8:S3:22C2^2192,1309

Non-split extensions G=N.Q with N=C8⋊S3 and Q=C22
extensionφ:Q→Out NdρLabelID
C8⋊S3.C22 = SD16.D6φ: C22/C1 → C22 ⊆ Out C8⋊S3968-C8:S3.C2^2192,1338
C8⋊S3.2C22 = D8.10D6φ: C22/C2 → C2 ⊆ Out C8⋊S3964-C8:S3.2C2^2192,1330
C8⋊S3.3C22 = D12.30D4φ: C22/C2 → C2 ⊆ Out C8⋊S3964C8:S3.3C2^2192,1325

׿
×
⋊
ℤ
𝔽
○
≀
ℚ
◁