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Extensions 1→N→G→Q→1 with N=S3×C2×C8 and Q=C2

Direct product G=N×Q with N=S3×C2×C8 and Q=C2
dρLabelID
S3×C22×C896S3xC2^2xC8192,1295

Semidirect products G=N:Q with N=S3×C2×C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C2×C8)⋊1C2 = S3×C4○D8φ: C2/C1 → C2 ⊆ Out S3×C2×C8484(S3xC2xC8):1C2192,1326
(S3×C2×C8)⋊2C2 = D6⋊2D8φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):2C2192,442
(S3×C2×C8)⋊3C2 = D6⋊3D8φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):3C2192,716
(S3×C2×C8)⋊4C2 = C2×S3×D8φ: C2/C1 → C2 ⊆ Out S3×C2×C848(S3xC2xC8):4C2192,1313
(S3×C2×C8)⋊5C2 = C2×D8⋊3S3φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):5C2192,1315
(S3×C2×C8)⋊6C2 = C2×D24⋊C2φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):6C2192,1324
(S3×C2×C8)⋊7C2 = C8⋊8D12φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):7C2192,423
(S3×C2×C8)⋊8C2 = C24⋊14D4φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):8C2192,730
(S3×C2×C8)⋊9C2 = C2×S3×SD16φ: C2/C1 → C2 ⊆ Out S3×C2×C848(S3xC2xC8):9C2192,1317
(S3×C2×C8)⋊10C2 = C2×Q8.7D6φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):10C2192,1320
(S3×C2×C8)⋊11C2 = C8×D12φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):11C2192,245
(S3×C2×C8)⋊12C2 = S3×C22⋊C8φ: C2/C1 → C2 ⊆ Out S3×C2×C848(S3xC2xC8):12C2192,283
(S3×C2×C8)⋊13C2 = C3⋊D4⋊C8φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):13C2192,284
(S3×C2×C8)⋊14C2 = D6⋊C8⋊C2φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):14C2192,286
(S3×C2×C8)⋊15C2 = D6⋊2M4(2)φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):15C2192,287
(S3×C2×C8)⋊16C2 = S3×D4⋊C4φ: C2/C1 → C2 ⊆ Out S3×C2×C848(S3xC2xC8):16C2192,328
(S3×C2×C8)⋊17C2 = D4⋊2S3⋊C4φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):17C2192,331
(S3×C2×C8)⋊18C2 = D6⋊D8φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):18C2192,334
(S3×C2×C8)⋊19C2 = D6⋊SD16φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):19C2192,337
(S3×C2×C8)⋊20C2 = C4⋊C4.150D6φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):20C2192,363
(S3×C2×C8)⋊21C2 = D6⋊2SD16φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):21C2192,366
(S3×C2×C8)⋊22C2 = D12⋊C8φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):22C2192,393
(S3×C2×C8)⋊23C2 = D6⋊3M4(2)φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):23C2192,395
(S3×C2×C8)⋊24C2 = C8×C3⋊D4φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):24C2192,668
(S3×C2×C8)⋊25C2 = C2×C8○D12φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):25C2192,1297
(S3×C2×C8)⋊26C2 = C8⋊9D12φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):26C2192,265
(S3×C2×C8)⋊27C2 = C24⋊D4φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):27C2192,686
(S3×C2×C8)⋊28C2 = C2×S3×M4(2)φ: C2/C1 → C2 ⊆ Out S3×C2×C848(S3xC2xC8):28C2192,1302
(S3×C2×C8)⋊29C2 = C2×D12.C4φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8):29C2192,1303
(S3×C2×C8)⋊30C2 = S3×C8○D4φ: C2/C1 → C2 ⊆ Out S3×C2×C8484(S3xC2xC8):30C2192,1308

Non-split extensions G=N.Q with N=S3×C2×C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(S3×C2×C8).1C2 = S3×C8.C4φ: C2/C1 → C2 ⊆ Out S3×C2×C8484(S3xC2xC8).1C2192,451
(S3×C2×C8).2C2 = S3×C2.D8φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).2C2192,438
(S3×C2×C8).3C2 = C8.27(C4×S3)φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).3C2192,439
(S3×C2×C8).4C2 = D6⋊2Q16φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).4C2192,446
(S3×C2×C8).5C2 = D6⋊3Q16φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).5C2192,747
(S3×C2×C8).6C2 = C2×S3×Q16φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).6C2192,1322
(S3×C2×C8).7C2 = S3×C4.Q8φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).7C2192,418
(S3×C2×C8).8C2 = (S3×C8)⋊C4φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).8C2192,419
(S3×C2×C8).9C2 = D6⋊C16φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).9C2192,66
(S3×C2×C8).10C2 = D6.C42φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).10C2192,248
(S3×C2×C8).11C2 = S3×Q8⋊C4φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).11C2192,360
(S3×C2×C8).12C2 = D6⋊1Q16φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).12C2192,372
(S3×C2×C8).13C2 = S3×C4⋊C8φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).13C2192,391
(S3×C2×C8).14C2 = C42.30D6φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).14C2192,398
(S3×C2×C8).15C2 = C2×D6.C8φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).15C2192,459
(S3×C2×C8).16C2 = S3×C8⋊C4φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).16C2192,263
(S3×C2×C8).17C2 = D6.4C42φ: C2/C1 → C2 ⊆ Out S3×C2×C896(S3xC2xC8).17C2192,267
(S3×C2×C8).18C2 = S3×M5(2)φ: C2/C1 → C2 ⊆ Out S3×C2×C8484(S3xC2xC8).18C2192,465
(S3×C2×C8).19C2 = S3×C4×C8φ: trivial image96(S3xC2xC8).19C2192,243
(S3×C2×C8).20C2 = S3×C2×C16φ: trivial image96(S3xC2xC8).20C2192,458

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