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Extensions 1→N→G→Q→1 with N=S3×Q8 and Q=C22

Direct product G=N×Q with N=S3×Q8 and Q=C22
dρLabelID
C22×S3×Q896C2^2xS3xQ8192,1517

Semidirect products G=N:Q with N=S3×Q8 and Q=C22
extensionφ:Q→Out NdρLabelID
(S3×Q8)⋊1C22 = SD16⋊13D6φ: C22/C1 → C22 ⊆ Out S3×Q8484(S3xQ8):1C2^2192,1321
(S3×Q8)⋊2C22 = D8⋊11D6φ: C22/C1 → C22 ⊆ Out S3×Q8484(S3xQ8):2C2^2192,1329
(S3×Q8)⋊3C22 = D8⋊6D6φ: C22/C1 → C22 ⊆ Out S3×Q8488-(S3xQ8):3C2^2192,1334
(S3×Q8)⋊4C22 = C24.C23φ: C22/C1 → C22 ⊆ Out S3×Q8488+(S3xQ8):4C2^2192,1337
(S3×Q8)⋊5C22 = C2×S3×SD16φ: C22/C2 → C2 ⊆ Out S3×Q848(S3xQ8):5C2^2192,1317
(S3×Q8)⋊6C22 = C2×D4.D6φ: C22/C2 → C2 ⊆ Out S3×Q896(S3xQ8):6C2^2192,1319
(S3×Q8)⋊7C22 = C2×Q16⋊S3φ: C22/C2 → C2 ⊆ Out S3×Q896(S3xQ8):7C2^2192,1323
(S3×Q8)⋊8C22 = SD16⋊D6φ: C22/C2 → C2 ⊆ Out S3×Q8484(S3xQ8):8C2^2192,1327
(S3×Q8)⋊9C22 = S3×C8⋊C22φ: C22/C2 → C2 ⊆ Out S3×Q8248+(S3xQ8):9C2^2192,1331
(S3×Q8)⋊10C22 = D8⋊4D6φ: C22/C2 → C2 ⊆ Out S3×Q8488-(S3xQ8):10C2^2192,1332
(S3×Q8)⋊11C22 = S3×C8.C22φ: C22/C2 → C2 ⊆ Out S3×Q8488-(S3xQ8):11C2^2192,1335
(S3×Q8)⋊12C22 = D24⋊C22φ: C22/C2 → C2 ⊆ Out S3×Q8488+(S3xQ8):12C2^2192,1336
(S3×Q8)⋊13C22 = C2×Q8.15D6φ: C22/C2 → C2 ⊆ Out S3×Q896(S3xQ8):13C2^2192,1519
(S3×Q8)⋊14C22 = C2×Q8○D12φ: C22/C2 → C2 ⊆ Out S3×Q896(S3xQ8):14C2^2192,1522
(S3×Q8)⋊15C22 = C6.C25φ: C22/C2 → C2 ⊆ Out S3×Q8484(S3xQ8):15C2^2192,1523
(S3×Q8)⋊16C22 = D6.C24φ: C22/C2 → C2 ⊆ Out S3×Q8488-(S3xQ8):16C2^2192,1525
(S3×Q8)⋊17C22 = S3×2- 1+4φ: C22/C2 → C2 ⊆ Out S3×Q8488-(S3xQ8):17C2^2192,1526
(S3×Q8)⋊18C22 = D12.39C23φ: C22/C2 → C2 ⊆ Out S3×Q8488+(S3xQ8):18C2^2192,1527
(S3×Q8)⋊19C22 = C2×S3×C4○D4φ: trivial image48(S3xQ8):19C2^2192,1520
(S3×Q8)⋊20C22 = S3×2+ 1+4φ: trivial image248+(S3xQ8):20C2^2192,1524

Non-split extensions G=N.Q with N=S3×Q8 and Q=C22
extensionφ:Q→Out NdρLabelID
(S3×Q8).1C22 = D12.30D4φ: C22/C1 → C22 ⊆ Out S3×Q8964(S3xQ8).1C2^2192,1325
(S3×Q8).2C22 = D8.10D6φ: C22/C1 → C22 ⊆ Out S3×Q8964-(S3xQ8).2C2^2192,1330
(S3×Q8).3C22 = SD16.D6φ: C22/C1 → C22 ⊆ Out S3×Q8968-(S3xQ8).3C2^2192,1338
(S3×Q8).4C22 = C2×S3×Q16φ: C22/C2 → C2 ⊆ Out S3×Q896(S3xQ8).4C2^2192,1322
(S3×Q8).5C22 = S3×C4○D8φ: C22/C2 → C2 ⊆ Out S3×Q8484(S3xQ8).5C2^2192,1326

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