# Extensions 1→N→G→Q→1 with N=C3×D4 and Q=C23

Direct product G=N×Q with N=C3×D4 and Q=C23
dρLabelID
D4×C22×C696D4xC2^2xC6192,1531

Semidirect products G=N:Q with N=C3×D4 and Q=C23
extensionφ:Q→Out NdρLabelID
(C3×D4)⋊1C23 = C2×S3×D8φ: C23/C2C22 ⊆ Out C3×D448(C3xD4):1C2^3192,1313
(C3×D4)⋊2C23 = C2×D8⋊S3φ: C23/C2C22 ⊆ Out C3×D448(C3xD4):2C2^3192,1314
(C3×D4)⋊3C23 = S3×C8⋊C22φ: C23/C2C22 ⊆ Out C3×D4248+(C3xD4):3C2^3192,1331
(C3×D4)⋊4C23 = C22×D4⋊S3φ: C23/C22C2 ⊆ Out C3×D496(C3xD4):4C2^3192,1351
(C3×D4)⋊5C23 = C2×D4⋊D6φ: C23/C22C2 ⊆ Out C3×D448(C3xD4):5C2^3192,1379
(C3×D4)⋊6C23 = C22×S3×D4φ: C23/C22C2 ⊆ Out C3×D448(C3xD4):6C2^3192,1514
(C3×D4)⋊7C23 = C22×D42S3φ: C23/C22C2 ⊆ Out C3×D496(C3xD4):7C2^3192,1515
(C3×D4)⋊8C23 = C2×D46D6φ: C23/C22C2 ⊆ Out C3×D448(C3xD4):8C2^3192,1516
(C3×D4)⋊9C23 = C2×S3×C4○D4φ: C23/C22C2 ⊆ Out C3×D448(C3xD4):9C2^3192,1520
(C3×D4)⋊10C23 = C2×D4○D12φ: C23/C22C2 ⊆ Out C3×D448(C3xD4):10C2^3192,1521
(C3×D4)⋊11C23 = S3×2+ 1+4φ: C23/C22C2 ⊆ Out C3×D4248+(C3xD4):11C2^3192,1524
(C3×D4)⋊12C23 = C2×C6×D8φ: C23/C22C2 ⊆ Out C3×D496(C3xD4):12C2^3192,1458
(C3×D4)⋊13C23 = C6×C8⋊C22φ: C23/C22C2 ⊆ Out C3×D448(C3xD4):13C2^3192,1462
(C3×D4)⋊14C23 = C2×C6×C4○D4φ: trivial image96(C3xD4):14C2^3192,1533
(C3×D4)⋊15C23 = C6×2+ 1+4φ: trivial image48(C3xD4):15C2^3192,1534

Non-split extensions G=N.Q with N=C3×D4 and Q=C23
extensionφ:Q→Out NdρLabelID
(C3×D4).1C23 = C2×D83S3φ: C23/C2C22 ⊆ Out C3×D496(C3xD4).1C2^3192,1315
(C3×D4).2C23 = D813D6φ: C23/C2C22 ⊆ Out C3×D4484(C3xD4).2C2^3192,1316
(C3×D4).3C23 = C2×S3×SD16φ: C23/C2C22 ⊆ Out C3×D448(C3xD4).3C2^3192,1317
(C3×D4).4C23 = C2×Q83D6φ: C23/C2C22 ⊆ Out C3×D448(C3xD4).4C2^3192,1318
(C3×D4).5C23 = C2×D4.D6φ: C23/C2C22 ⊆ Out C3×D496(C3xD4).5C2^3192,1319
(C3×D4).6C23 = C2×Q8.7D6φ: C23/C2C22 ⊆ Out C3×D496(C3xD4).6C2^3192,1320
(C3×D4).7C23 = SD1613D6φ: C23/C2C22 ⊆ Out C3×D4484(C3xD4).7C2^3192,1321
(C3×D4).8C23 = S3×C4○D8φ: C23/C2C22 ⊆ Out C3×D4484(C3xD4).8C2^3192,1326
(C3×D4).9C23 = SD16⋊D6φ: C23/C2C22 ⊆ Out C3×D4484(C3xD4).9C2^3192,1327
(C3×D4).10C23 = D815D6φ: C23/C2C22 ⊆ Out C3×D4484+(C3xD4).10C2^3192,1328
(C3×D4).11C23 = D811D6φ: C23/C2C22 ⊆ Out C3×D4484(C3xD4).11C2^3192,1329
(C3×D4).12C23 = D8.10D6φ: C23/C2C22 ⊆ Out C3×D4964-(C3xD4).12C2^3192,1330
(C3×D4).13C23 = D84D6φ: C23/C2C22 ⊆ Out C3×D4488-(C3xD4).13C2^3192,1332
(C3×D4).14C23 = D85D6φ: C23/C2C22 ⊆ Out C3×D4488+(C3xD4).14C2^3192,1333
(C3×D4).15C23 = D86D6φ: C23/C2C22 ⊆ Out C3×D4488-(C3xD4).15C2^3192,1334
(C3×D4).16C23 = S3×C8.C22φ: C23/C2C22 ⊆ Out C3×D4488-(C3xD4).16C2^3192,1335
(C3×D4).17C23 = D24⋊C22φ: C23/C2C22 ⊆ Out C3×D4488+(C3xD4).17C2^3192,1336
(C3×D4).18C23 = C24.C23φ: C23/C2C22 ⊆ Out C3×D4488+(C3xD4).18C2^3192,1337
(C3×D4).19C23 = SD16.D6φ: C23/C2C22 ⊆ Out C3×D4968-(C3xD4).19C2^3192,1338
(C3×D4).20C23 = C2×D126C22φ: C23/C22C2 ⊆ Out C3×D448(C3xD4).20C2^3192,1352
(C3×D4).21C23 = C22×D4.S3φ: C23/C22C2 ⊆ Out C3×D496(C3xD4).21C2^3192,1353
(C3×D4).22C23 = C2×Q8.13D6φ: C23/C22C2 ⊆ Out C3×D496(C3xD4).22C2^3192,1380
(C3×D4).23C23 = C12.C24φ: C23/C22C2 ⊆ Out C3×D4484(C3xD4).23C2^3192,1381
(C3×D4).24C23 = C2×Q8.14D6φ: C23/C22C2 ⊆ Out C3×D496(C3xD4).24C2^3192,1382
(C3×D4).25C23 = D12.32C23φ: C23/C22C2 ⊆ Out C3×D4488+(C3xD4).25C2^3192,1394
(C3×D4).26C23 = D12.33C23φ: C23/C22C2 ⊆ Out C3×D4488-(C3xD4).26C2^3192,1395
(C3×D4).27C23 = D12.34C23φ: C23/C22C2 ⊆ Out C3×D4488+(C3xD4).27C2^3192,1396
(C3×D4).28C23 = D12.35C23φ: C23/C22C2 ⊆ Out C3×D4968-(C3xD4).28C2^3192,1397
(C3×D4).29C23 = C2×Q8○D12φ: C23/C22C2 ⊆ Out C3×D496(C3xD4).29C2^3192,1522
(C3×D4).30C23 = C6.C25φ: C23/C22C2 ⊆ Out C3×D4484(C3xD4).30C2^3192,1523
(C3×D4).31C23 = D6.C24φ: C23/C22C2 ⊆ Out C3×D4488-(C3xD4).31C2^3192,1525
(C3×D4).32C23 = S3×2- 1+4φ: C23/C22C2 ⊆ Out C3×D4488-(C3xD4).32C2^3192,1526
(C3×D4).33C23 = D12.39C23φ: C23/C22C2 ⊆ Out C3×D4488+(C3xD4).33C2^3192,1527
(C3×D4).34C23 = C2×C6×SD16φ: C23/C22C2 ⊆ Out C3×D496(C3xD4).34C2^3192,1459
(C3×D4).35C23 = C6×C4○D8φ: C23/C22C2 ⊆ Out C3×D496(C3xD4).35C2^3192,1461
(C3×D4).36C23 = C6×C8.C22φ: C23/C22C2 ⊆ Out C3×D496(C3xD4).36C2^3192,1463
(C3×D4).37C23 = C3×D8⋊C22φ: C23/C22C2 ⊆ Out C3×D4484(C3xD4).37C2^3192,1464
(C3×D4).38C23 = C3×D4○D8φ: C23/C22C2 ⊆ Out C3×D4484(C3xD4).38C2^3192,1465
(C3×D4).39C23 = C3×D4○SD16φ: C23/C22C2 ⊆ Out C3×D4484(C3xD4).39C2^3192,1466
(C3×D4).40C23 = C3×Q8○D8φ: C23/C22C2 ⊆ Out C3×D4964(C3xD4).40C2^3192,1467
(C3×D4).41C23 = C6×2- 1+4φ: trivial image96(C3xD4).41C2^3192,1535
(C3×D4).42C23 = C3×C2.C25φ: trivial image484(C3xD4).42C2^3192,1536

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