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Extensions 1→N→G→Q→1 with N=C3×C4⋊Q8 and Q=C2

Direct product G=N×Q with N=C3×C4⋊Q8 and Q=C2
dρLabelID
C6×C4⋊Q8192C6xC4:Q8192,1420

Semidirect products G=N:Q with N=C3×C4⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4⋊Q8)⋊1C2 = C12⋊5SD16φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):1C2192,642
(C3×C4⋊Q8)⋊2C2 = D12⋊5Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):2C2192,643
(C3×C4⋊Q8)⋊3C2 = C12⋊6SD16φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):3C2192,644
(C3×C4⋊Q8)⋊4C2 = C42.80D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):4C2192,645
(C3×C4⋊Q8)⋊5C2 = D12⋊6Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):5C2192,646
(C3×C4⋊Q8)⋊6C2 = C12.D8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):6C2192,647
(C3×C4⋊Q8)⋊7C2 = C42.82D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):7C2192,648
(C3×C4⋊Q8)⋊8C2 = D12.15D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8484(C3xC4:Q8):8C2192,654
(C3×C4⋊Q8)⋊9C2 = S3×C4⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):9C2192,1282
(C3×C4⋊Q8)⋊10C2 = C42.171D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):10C2192,1283
(C3×C4⋊Q8)⋊11C2 = C42.240D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):11C2192,1284
(C3×C4⋊Q8)⋊12C2 = D12⋊12D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):12C2192,1285
(C3×C4⋊Q8)⋊13C2 = D12⋊8Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):13C2192,1286
(C3×C4⋊Q8)⋊14C2 = C42.241D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):14C2192,1287
(C3×C4⋊Q8)⋊15C2 = C42.174D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):15C2192,1288
(C3×C4⋊Q8)⋊16C2 = D12⋊9Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):16C2192,1289
(C3×C4⋊Q8)⋊17C2 = C42.176D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):17C2192,1290
(C3×C4⋊Q8)⋊18C2 = C42.177D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):18C2192,1291
(C3×C4⋊Q8)⋊19C2 = C42.178D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):19C2192,1292
(C3×C4⋊Q8)⋊20C2 = C42.179D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):20C2192,1293
(C3×C4⋊Q8)⋊21C2 = C42.180D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):21C2192,1294
(C3×C4⋊Q8)⋊22C2 = C3×D4.10D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8484(C3xC4:Q8):22C2192,889
(C3×C4⋊Q8)⋊23C2 = C3×D4.D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):23C2192,894
(C3×C4⋊Q8)⋊24C2 = C3×D4⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):24C2192,907
(C3×C4⋊Q8)⋊25C2 = C3×D4⋊2Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):25C2192,909
(C3×C4⋊Q8)⋊26C2 = C3×C4.4D8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):26C2192,919
(C3×C4⋊Q8)⋊27C2 = C3×C42.28C22φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):27C2192,922
(C3×C4⋊Q8)⋊28C2 = C3×C8⋊5D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):28C2192,925
(C3×C4⋊Q8)⋊29C2 = C3×C8.2D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):29C2192,930
(C3×C4⋊Q8)⋊30C2 = C3×C23.38C23φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):30C2192,1425
(C3×C4⋊Q8)⋊31C2 = C3×C22.35C24φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):31C2192,1430
(C3×C4⋊Q8)⋊32C2 = C3×C22.36C24φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):32C2192,1431
(C3×C4⋊Q8)⋊33C2 = C3×C23.41C23φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):33C2192,1433
(C3×C4⋊Q8)⋊34C2 = C3×D4⋊6D4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):34C2192,1436
(C3×C4⋊Q8)⋊35C2 = C3×D4×Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):35C2192,1438
(C3×C4⋊Q8)⋊36C2 = C3×D4⋊3Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):36C2192,1443
(C3×C4⋊Q8)⋊37C2 = C3×C22.49C24φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):37C2192,1444
(C3×C4⋊Q8)⋊38C2 = C3×C22.50C24φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):38C2192,1445
(C3×C4⋊Q8)⋊39C2 = C3×C22.57C24φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q896(C3xC4:Q8):39C2192,1452
(C3×C4⋊Q8)⋊40C2 = C3×C22.26C24φ: trivial image96(C3xC4:Q8):40C2192,1421
(C3×C4⋊Q8)⋊41C2 = C3×C23.37C23φ: trivial image96(C3xC4:Q8):41C2192,1422

Non-split extensions G=N.Q with N=C3×C4⋊Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C4⋊Q8).1C2 = C12.5Q16φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).1C2192,105
(C3×C4⋊Q8).2C2 = C12.10D8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).2C2192,106
(C3×C4⋊Q8).3C2 = C42.3Dic3φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8484(C3xC4:Q8).3C2192,107
(C3×C4⋊Q8).4C2 = C12.17D8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).4C2192,637
(C3×C4⋊Q8).5C2 = C12.9Q16φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).5C2192,638
(C3×C4⋊Q8).6C2 = C12.SD16φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).6C2192,639
(C3×C4⋊Q8).7C2 = C42.76D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).7C2192,640
(C3×C4⋊Q8).8C2 = C42.77D6φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).8C2192,641
(C3×C4⋊Q8).9C2 = C12⋊Q16φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).9C2192,649
(C3×C4⋊Q8).10C2 = Dic6⋊5Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).10C2192,650
(C3×C4⋊Q8).11C2 = C12⋊3Q16φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).11C2192,651
(C3×C4⋊Q8).12C2 = C12.Q16φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).12C2192,652
(C3×C4⋊Q8).13C2 = Dic6⋊6Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).13C2192,653
(C3×C4⋊Q8).14C2 = Dic6⋊8Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).14C2192,1280
(C3×C4⋊Q8).15C2 = Dic6⋊9Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).15C2192,1281
(C3×C4⋊Q8).16C2 = C3×C4.10D8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).16C2192,138
(C3×C4⋊Q8).17C2 = C3×C4.6Q16φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).17C2192,139
(C3×C4⋊Q8).18C2 = C3×C42.3C4φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8484(C3xC4:Q8).18C2192,162
(C3×C4⋊Q8).19C2 = C3×C4⋊2Q16φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).19C2192,895
(C3×C4⋊Q8).20C2 = C3×Q8⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).20C2192,908
(C3×C4⋊Q8).21C2 = C3×C4.Q16φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).21C2192,910
(C3×C4⋊Q8).22C2 = C3×C4.SD16φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).22C2192,920
(C3×C4⋊Q8).23C2 = C3×C42.30C22φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).23C2192,924
(C3×C4⋊Q8).24C2 = C3×C4⋊Q16φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).24C2192,927
(C3×C4⋊Q8).25C2 = C3×C8⋊3Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).25C2192,931
(C3×C4⋊Q8).26C2 = C3×C8⋊2Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).26C2192,933
(C3×C4⋊Q8).27C2 = C3×C8⋊Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).27C2192,934
(C3×C4⋊Q8).28C2 = C3×Q8⋊3Q8φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).28C2192,1446
(C3×C4⋊Q8).29C2 = C3×Q82φ: C2/C1 → C2 ⊆ Out C3×C4⋊Q8192(C3xC4:Q8).29C2192,1447

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