Extensions 1→N→G→Q→1 with N=C22×C3⋊C8 and Q=C2

Direct product G=N×Q with N=C22×C3⋊C8 and Q=C2
dρLabelID
C23×C3⋊C8192C2^3xC3:C8192,1339

Semidirect products G=N:Q with N=C22×C3⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C3⋊C8)⋊1C2 = C2×C6.D8φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):1C2192,524
(C22×C3⋊C8)⋊2C2 = C4.(C2×D12)φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):2C2192,561
(C22×C3⋊C8)⋊3C2 = C3⋊C822D4φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):3C2192,597
(C22×C3⋊C8)⋊4C2 = C3⋊C823D4φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):4C2192,600
(C22×C3⋊C8)⋊5C2 = C3⋊C824D4φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):5C2192,607
(C22×C3⋊C8)⋊6C2 = D6⋊C840C2φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):6C2192,688
(C22×C3⋊C8)⋊7C2 = C2×D4⋊Dic3φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):7C2192,773
(C22×C3⋊C8)⋊8C2 = C4○D44Dic3φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):8C2192,792
(C22×C3⋊C8)⋊9C2 = (C6×D4).11C4φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):9C2192,793
(C22×C3⋊C8)⋊10C2 = C2×D12.C4φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):10C2192,1303
(C22×C3⋊C8)⋊11C2 = C22×D4⋊S3φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):11C2192,1351
(C22×C3⋊C8)⋊12C2 = C22×D4.S3φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):12C2192,1353
(C22×C3⋊C8)⋊13C2 = C22×Q82S3φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):13C2192,1366
(C22×C3⋊C8)⋊14C2 = C2×D4.Dic3φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):14C2192,1377
(C22×C3⋊C8)⋊15C2 = C2×Q8.13D6φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):15C2192,1380
(C22×C3⋊C8)⋊16C2 = C3⋊D4⋊C8φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):16C2192,284
(C22×C3⋊C8)⋊17C2 = C3⋊C826D4φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):17C2192,289
(C22×C3⋊C8)⋊18C2 = D4×C3⋊C8φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):18C2192,569
(C22×C3⋊C8)⋊19C2 = C42.47D6φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):19C2192,570
(C22×C3⋊C8)⋊20C2 = C2×D6⋊C8φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):20C2192,667
(C22×C3⋊C8)⋊21C2 = C2×C12.55D4φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):21C2192,765
(C22×C3⋊C8)⋊22C2 = C22×C8⋊S3φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):22C2192,1296
(C22×C3⋊C8)⋊23C2 = C22×C4.Dic3φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8):23C2192,1340
(C22×C3⋊C8)⋊24C2 = S3×C22×C8φ: trivial image96(C2^2xC3:C8):24C2192,1295

Non-split extensions G=N.Q with N=C22×C3⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C22×C3⋊C8).1C2 = C12.C42φ: C2/C1C2 ⊆ Out C22×C3⋊C8192(C2^2xC3:C8).1C2192,88
(C22×C3⋊C8).2C2 = C12.4C42φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8).2C2192,117
(C22×C3⋊C8).3C2 = C2×C6.Q16φ: C2/C1C2 ⊆ Out C22×C3⋊C8192(C2^2xC3:C8).3C2192,521
(C22×C3⋊C8).4C2 = C2×C12.Q8φ: C2/C1C2 ⊆ Out C22×C3⋊C8192(C2^2xC3:C8).4C2192,522
(C22×C3⋊C8).5C2 = C2×C6.SD16φ: C2/C1C2 ⊆ Out C22×C3⋊C8192(C2^2xC3:C8).5C2192,528
(C22×C3⋊C8).6C2 = C12.5C42φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8).6C2192,556
(C22×C3⋊C8).7C2 = C4⋊C4.234D6φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8).7C2192,557
(C22×C3⋊C8).8C2 = C42.43D6φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8).8C2192,558
(C22×C3⋊C8).9C2 = C3⋊C8.29D4φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8).9C2192,610
(C22×C3⋊C8).10C2 = C12.88(C2×Q8)φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8).10C2192,678
(C22×C3⋊C8).11C2 = C12.7C42φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8).11C2192,681
(C22×C3⋊C8).12C2 = C2×C12.53D4φ: C2/C1C2 ⊆ Out C22×C3⋊C896(C2^2xC3:C8).12C2192,682
(C22×C3⋊C8).13C2 = C2×Q82Dic3φ: C2/C1C2 ⊆ Out C22×C3⋊C8192(C2^2xC3:C8).13C2192,783
(C22×C3⋊C8).14C2 = C22×C3⋊Q16φ: C2/C1C2 ⊆ Out C22×C3⋊C8192(C2^2xC3:C8).14C2192,1368
(C22×C3⋊C8).15C2 = (C2×C12)⋊3C8φ: C2/C1C2 ⊆ Out C22×C3⋊C8192(C2^2xC3:C8).15C2192,83
(C22×C3⋊C8).16C2 = (C2×C24)⋊5C4φ: C2/C1C2 ⊆ Out C22×C3⋊C8192(C2^2xC3:C8).16C2192,109
(C22×C3⋊C8).17C2 = C2×C42.S3φ: C2/C1C2 ⊆ Out C22×C3⋊C8192(C2^2xC3:C8).17C2192,480
(C22×C3⋊C8).18C2 = C2×C12⋊C8φ: C2/C1C2 ⊆ Out C22×C3⋊C8192(C2^2xC3:C8).18C2192,482
(C22×C3⋊C8).19C2 = C2×Dic3⋊C8φ: C2/C1C2 ⊆ Out C22×C3⋊C8192(C2^2xC3:C8).19C2192,658
(C22×C3⋊C8).20C2 = C2×C24⋊C4φ: C2/C1C2 ⊆ Out C22×C3⋊C8192(C2^2xC3:C8).20C2192,659
(C22×C3⋊C8).21C2 = C2×C4×C3⋊C8φ: trivial image192(C2^2xC3:C8).21C2192,479
(C22×C3⋊C8).22C2 = Dic3×C2×C8φ: trivial image192(C2^2xC3:C8).22C2192,657

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