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Extensions 1→N→G→Q→1 with N=C3×Q8 and Q=C23

Direct product G=N×Q with N=C3×Q8 and Q=C23
dρLabelID
Q8×C22×C6192Q8xC2^2xC6192,1532

Semidirect products G=N:Q with N=C3×Q8 and Q=C23
extensionφ:Q→Out NdρLabelID
(C3×Q8)⋊1C23 = C2×S3×SD16φ: C23/C2 → C22 ⊆ Out C3×Q848(C3xQ8):1C2^3192,1317
(C3×Q8)⋊2C23 = C2×Q8⋊3D6φ: C23/C2 → C22 ⊆ Out C3×Q848(C3xQ8):2C2^3192,1318
(C3×Q8)⋊3C23 = S3×C8⋊C22φ: C23/C2 → C22 ⊆ Out C3×Q8248+(C3xQ8):3C2^3192,1331
(C3×Q8)⋊4C23 = C22×Q8⋊2S3φ: C23/C22 → C2 ⊆ Out C3×Q896(C3xQ8):4C2^3192,1366
(C3×Q8)⋊5C23 = C2×D4⋊D6φ: C23/C22 → C2 ⊆ Out C3×Q848(C3xQ8):5C2^3192,1379
(C3×Q8)⋊6C23 = C22×S3×Q8φ: C23/C22 → C2 ⊆ Out C3×Q896(C3xQ8):6C2^3192,1517
(C3×Q8)⋊7C23 = C22×Q8⋊3S3φ: C23/C22 → C2 ⊆ Out C3×Q896(C3xQ8):7C2^3192,1518
(C3×Q8)⋊8C23 = C2×S3×C4○D4φ: C23/C22 → C2 ⊆ Out C3×Q848(C3xQ8):8C2^3192,1520
(C3×Q8)⋊9C23 = C2×D4○D12φ: C23/C22 → C2 ⊆ Out C3×Q848(C3xQ8):9C2^3192,1521
(C3×Q8)⋊10C23 = S3×2+ 1+4φ: C23/C22 → C2 ⊆ Out C3×Q8248+(C3xQ8):10C2^3192,1524
(C3×Q8)⋊11C23 = C2×C6×SD16φ: C23/C22 → C2 ⊆ Out C3×Q896(C3xQ8):11C2^3192,1459
(C3×Q8)⋊12C23 = C6×C8⋊C22φ: C23/C22 → C2 ⊆ Out C3×Q848(C3xQ8):12C2^3192,1462
(C3×Q8)⋊13C23 = C2×C6×C4○D4φ: trivial image96(C3xQ8):13C2^3192,1533
(C3×Q8)⋊14C23 = C6×2+ 1+4φ: trivial image48(C3xQ8):14C2^3192,1534

Non-split extensions G=N.Q with N=C3×Q8 and Q=C23
extensionφ:Q→Out NdρLabelID
(C3×Q8).1C23 = C2×D4.D6φ: C23/C2 → C22 ⊆ Out C3×Q896(C3xQ8).1C2^3192,1319
(C3×Q8).2C23 = C2×Q8.7D6φ: C23/C2 → C22 ⊆ Out C3×Q896(C3xQ8).2C2^3192,1320
(C3×Q8).3C23 = SD16⋊13D6φ: C23/C2 → C22 ⊆ Out C3×Q8484(C3xQ8).3C2^3192,1321
(C3×Q8).4C23 = C2×S3×Q16φ: C23/C2 → C22 ⊆ Out C3×Q896(C3xQ8).4C2^3192,1322
(C3×Q8).5C23 = C2×Q16⋊S3φ: C23/C2 → C22 ⊆ Out C3×Q896(C3xQ8).5C2^3192,1323
(C3×Q8).6C23 = C2×D24⋊C2φ: C23/C2 → C22 ⊆ Out C3×Q896(C3xQ8).6C2^3192,1324
(C3×Q8).7C23 = D12.30D4φ: C23/C2 → C22 ⊆ Out C3×Q8964(C3xQ8).7C2^3192,1325
(C3×Q8).8C23 = S3×C4○D8φ: C23/C2 → C22 ⊆ Out C3×Q8484(C3xQ8).8C2^3192,1326
(C3×Q8).9C23 = SD16⋊D6φ: C23/C2 → C22 ⊆ Out C3×Q8484(C3xQ8).9C2^3192,1327
(C3×Q8).10C23 = D8⋊15D6φ: C23/C2 → C22 ⊆ Out C3×Q8484+(C3xQ8).10C2^3192,1328
(C3×Q8).11C23 = D8⋊11D6φ: C23/C2 → C22 ⊆ Out C3×Q8484(C3xQ8).11C2^3192,1329
(C3×Q8).12C23 = D8.10D6φ: C23/C2 → C22 ⊆ Out C3×Q8964-(C3xQ8).12C2^3192,1330
(C3×Q8).13C23 = D8⋊4D6φ: C23/C2 → C22 ⊆ Out C3×Q8488-(C3xQ8).13C2^3192,1332
(C3×Q8).14C23 = D8⋊5D6φ: C23/C2 → C22 ⊆ Out C3×Q8488+(C3xQ8).14C2^3192,1333
(C3×Q8).15C23 = D8⋊6D6φ: C23/C2 → C22 ⊆ Out C3×Q8488-(C3xQ8).15C2^3192,1334
(C3×Q8).16C23 = S3×C8.C22φ: C23/C2 → C22 ⊆ Out C3×Q8488-(C3xQ8).16C2^3192,1335
(C3×Q8).17C23 = D24⋊C22φ: C23/C2 → C22 ⊆ Out C3×Q8488+(C3xQ8).17C2^3192,1336
(C3×Q8).18C23 = C24.C23φ: C23/C2 → C22 ⊆ Out C3×Q8488+(C3xQ8).18C2^3192,1337
(C3×Q8).19C23 = SD16.D6φ: C23/C2 → C22 ⊆ Out C3×Q8968-(C3xQ8).19C2^3192,1338
(C3×Q8).20C23 = C2×Q8.11D6φ: C23/C22 → C2 ⊆ Out C3×Q896(C3xQ8).20C2^3192,1367
(C3×Q8).21C23 = C22×C3⋊Q16φ: C23/C22 → C2 ⊆ Out C3×Q8192(C3xQ8).21C2^3192,1368
(C3×Q8).22C23 = C2×Q8.13D6φ: C23/C22 → C2 ⊆ Out C3×Q896(C3xQ8).22C2^3192,1380
(C3×Q8).23C23 = C12.C24φ: C23/C22 → C2 ⊆ Out C3×Q8484(C3xQ8).23C2^3192,1381
(C3×Q8).24C23 = C2×Q8.14D6φ: C23/C22 → C2 ⊆ Out C3×Q896(C3xQ8).24C2^3192,1382
(C3×Q8).25C23 = D12.32C23φ: C23/C22 → C2 ⊆ Out C3×Q8488+(C3xQ8).25C2^3192,1394
(C3×Q8).26C23 = D12.33C23φ: C23/C22 → C2 ⊆ Out C3×Q8488-(C3xQ8).26C2^3192,1395
(C3×Q8).27C23 = D12.34C23φ: C23/C22 → C2 ⊆ Out C3×Q8488+(C3xQ8).27C2^3192,1396
(C3×Q8).28C23 = D12.35C23φ: C23/C22 → C2 ⊆ Out C3×Q8968-(C3xQ8).28C2^3192,1397
(C3×Q8).29C23 = C2×Q8.15D6φ: C23/C22 → C2 ⊆ Out C3×Q896(C3xQ8).29C2^3192,1519
(C3×Q8).30C23 = C2×Q8○D12φ: C23/C22 → C2 ⊆ Out C3×Q896(C3xQ8).30C2^3192,1522
(C3×Q8).31C23 = C6.C25φ: C23/C22 → C2 ⊆ Out C3×Q8484(C3xQ8).31C2^3192,1523
(C3×Q8).32C23 = D6.C24φ: C23/C22 → C2 ⊆ Out C3×Q8488-(C3xQ8).32C2^3192,1525
(C3×Q8).33C23 = S3×2- 1+4φ: C23/C22 → C2 ⊆ Out C3×Q8488-(C3xQ8).33C2^3192,1526
(C3×Q8).34C23 = D12.39C23φ: C23/C22 → C2 ⊆ Out C3×Q8488+(C3xQ8).34C2^3192,1527
(C3×Q8).35C23 = C2×C6×Q16φ: C23/C22 → C2 ⊆ Out C3×Q8192(C3xQ8).35C2^3192,1460
(C3×Q8).36C23 = C6×C4○D8φ: C23/C22 → C2 ⊆ Out C3×Q896(C3xQ8).36C2^3192,1461
(C3×Q8).37C23 = C6×C8.C22φ: C23/C22 → C2 ⊆ Out C3×Q896(C3xQ8).37C2^3192,1463
(C3×Q8).38C23 = C3×D8⋊C22φ: C23/C22 → C2 ⊆ Out C3×Q8484(C3xQ8).38C2^3192,1464
(C3×Q8).39C23 = C3×D4○D8φ: C23/C22 → C2 ⊆ Out C3×Q8484(C3xQ8).39C2^3192,1465
(C3×Q8).40C23 = C3×D4○SD16φ: C23/C22 → C2 ⊆ Out C3×Q8484(C3xQ8).40C2^3192,1466
(C3×Q8).41C23 = C3×Q8○D8φ: C23/C22 → C2 ⊆ Out C3×Q8964(C3xQ8).41C2^3192,1467
(C3×Q8).42C23 = C6×2- 1+4φ: trivial image96(C3xQ8).42C2^3192,1535
(C3×Q8).43C23 = C3×C2.C25φ: trivial image484(C3xQ8).43C2^3192,1536

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