# Extensions 1→N→G→Q→1 with N=C4×S3 and Q=C23

Direct product G=N×Q with N=C4×S3 and Q=C23
dρLabelID
S3×C23×C496S3xC2^3xC4192,1511

Semidirect products G=N:Q with N=C4×S3 and Q=C23
extensionφ:Q→Out NdρLabelID
(C4×S3)⋊1C23 = C2×D46D6φ: C23/C2C22 ⊆ Out C4×S348(C4xS3):1C2^3192,1516
(C4×S3)⋊2C23 = C2×D4○D12φ: C23/C2C22 ⊆ Out C4×S348(C4xS3):2C2^3192,1521
(C4×S3)⋊3C23 = S3×2+ 1+4φ: C23/C2C22 ⊆ Out C4×S3248+(C4xS3):3C2^3192,1524
(C4×S3)⋊4C23 = C22×S3×D4φ: C23/C22C2 ⊆ Out C4×S348(C4xS3):4C2^3192,1514
(C4×S3)⋊5C23 = C22×D42S3φ: C23/C22C2 ⊆ Out C4×S396(C4xS3):5C2^3192,1515
(C4×S3)⋊6C23 = C22×Q83S3φ: C23/C22C2 ⊆ Out C4×S396(C4xS3):6C2^3192,1518
(C4×S3)⋊7C23 = C2×S3×C4○D4φ: C23/C22C2 ⊆ Out C4×S348(C4xS3):7C2^3192,1520
(C4×S3)⋊8C23 = C22×C4○D12φ: C23/C22C2 ⊆ Out C4×S396(C4xS3):8C2^3192,1513

Non-split extensions G=N.Q with N=C4×S3 and Q=C23
extensionφ:Q→Out NdρLabelID
(C4×S3).1C23 = C2×D8⋊S3φ: C23/C2C22 ⊆ Out C4×S348(C4xS3).1C2^3192,1314
(C4×S3).2C23 = D813D6φ: C23/C2C22 ⊆ Out C4×S3484(C4xS3).2C2^3192,1316
(C4×S3).3C23 = C2×Q83D6φ: C23/C2C22 ⊆ Out C4×S348(C4xS3).3C2^3192,1318
(C4×S3).4C23 = C2×D4.D6φ: C23/C2C22 ⊆ Out C4×S396(C4xS3).4C2^3192,1319
(C4×S3).5C23 = SD1613D6φ: C23/C2C22 ⊆ Out C4×S3484(C4xS3).5C2^3192,1321
(C4×S3).6C23 = C2×Q16⋊S3φ: C23/C2C22 ⊆ Out C4×S396(C4xS3).6C2^3192,1323
(C4×S3).7C23 = D12.30D4φ: C23/C2C22 ⊆ Out C4×S3964(C4xS3).7C2^3192,1325
(C4×S3).8C23 = SD16⋊D6φ: C23/C2C22 ⊆ Out C4×S3484(C4xS3).8C2^3192,1327
(C4×S3).9C23 = D815D6φ: C23/C2C22 ⊆ Out C4×S3484+(C4xS3).9C2^3192,1328
(C4×S3).10C23 = D811D6φ: C23/C2C22 ⊆ Out C4×S3484(C4xS3).10C2^3192,1329
(C4×S3).11C23 = D8.10D6φ: C23/C2C22 ⊆ Out C4×S3964-(C4xS3).11C2^3192,1330
(C4×S3).12C23 = S3×C8⋊C22φ: C23/C2C22 ⊆ Out C4×S3248+(C4xS3).12C2^3192,1331
(C4×S3).13C23 = D85D6φ: C23/C2C22 ⊆ Out C4×S3488+(C4xS3).13C2^3192,1333
(C4×S3).14C23 = D86D6φ: C23/C2C22 ⊆ Out C4×S3488-(C4xS3).14C2^3192,1334
(C4×S3).15C23 = S3×C8.C22φ: C23/C2C22 ⊆ Out C4×S3488-(C4xS3).15C2^3192,1335
(C4×S3).16C23 = C24.C23φ: C23/C2C22 ⊆ Out C4×S3488+(C4xS3).16C2^3192,1337
(C4×S3).17C23 = SD16.D6φ: C23/C2C22 ⊆ Out C4×S3968-(C4xS3).17C2^3192,1338
(C4×S3).18C23 = C2×Q8.15D6φ: C23/C2C22 ⊆ Out C4×S396(C4xS3).18C2^3192,1519
(C4×S3).19C23 = C2×Q8○D12φ: C23/C2C22 ⊆ Out C4×S396(C4xS3).19C2^3192,1522
(C4×S3).20C23 = D6.C24φ: C23/C2C22 ⊆ Out C4×S3488-(C4xS3).20C2^3192,1525
(C4×S3).21C23 = S3×2- 1+4φ: C23/C2C22 ⊆ Out C4×S3488-(C4xS3).21C2^3192,1526
(C4×S3).22C23 = D12.39C23φ: C23/C2C22 ⊆ Out C4×S3488+(C4xS3).22C2^3192,1527
(C4×S3).23C23 = C2×S3×D8φ: C23/C22C2 ⊆ Out C4×S348(C4xS3).23C2^3192,1313
(C4×S3).24C23 = C2×D83S3φ: C23/C22C2 ⊆ Out C4×S396(C4xS3).24C2^3192,1315
(C4×S3).25C23 = C2×S3×SD16φ: C23/C22C2 ⊆ Out C4×S348(C4xS3).25C2^3192,1317
(C4×S3).26C23 = C2×Q8.7D6φ: C23/C22C2 ⊆ Out C4×S396(C4xS3).26C2^3192,1320
(C4×S3).27C23 = C2×S3×Q16φ: C23/C22C2 ⊆ Out C4×S396(C4xS3).27C2^3192,1322
(C4×S3).28C23 = C2×D24⋊C2φ: C23/C22C2 ⊆ Out C4×S396(C4xS3).28C2^3192,1324
(C4×S3).29C23 = S3×C4○D8φ: C23/C22C2 ⊆ Out C4×S3484(C4xS3).29C2^3192,1326
(C4×S3).30C23 = D84D6φ: C23/C22C2 ⊆ Out C4×S3488-(C4xS3).30C2^3192,1332
(C4×S3).31C23 = D24⋊C22φ: C23/C22C2 ⊆ Out C4×S3488+(C4xS3).31C2^3192,1336
(C4×S3).32C23 = C22×S3×Q8φ: C23/C22C2 ⊆ Out C4×S396(C4xS3).32C2^3192,1517
(C4×S3).33C23 = C22×C8⋊S3φ: C23/C22C2 ⊆ Out C4×S396(C4xS3).33C2^3192,1296
(C4×S3).34C23 = C2×C8○D12φ: C23/C22C2 ⊆ Out C4×S396(C4xS3).34C2^3192,1297
(C4×S3).35C23 = C2×D12.C4φ: C23/C22C2 ⊆ Out C4×S396(C4xS3).35C2^3192,1303
(C4×S3).36C23 = M4(2)⋊26D6φ: C23/C22C2 ⊆ Out C4×S3484(C4xS3).36C2^3192,1304
(C4×S3).37C23 = M4(2)⋊28D6φ: C23/C22C2 ⊆ Out C4×S3484(C4xS3).37C2^3192,1309
(C4×S3).38C23 = C6.C25φ: C23/C22C2 ⊆ Out C4×S3484(C4xS3).38C2^3192,1523
(C4×S3).39C23 = S3×C22×C8φ: trivial image96(C4xS3).39C2^3192,1295
(C4×S3).40C23 = C2×S3×M4(2)φ: trivial image48(C4xS3).40C2^3192,1302
(C4×S3).41C23 = S3×C8○D4φ: trivial image484(C4xS3).41C2^3192,1308

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