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

Direct product G=N×Q with N=C3×C22⋊C8 and Q=C2
dρLabelID
C6×C22⋊C896C6xC2^2:C8192,839

Semidirect products G=N:Q with N=C3×C22⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C22⋊C8)⋊1C2 = (C22×S3)⋊C8φ: C2/C1 → C2 ⊆ Out C3×C22⋊C848(C3xC2^2:C8):1C2192,27
(C3×C22⋊C8)⋊2C2 = C22.2D24φ: C2/C1 → C2 ⊆ Out C3×C22⋊C848(C3xC2^2:C8):2C2192,29
(C3×C22⋊C8)⋊3C2 = C3×C23⋊C8φ: C2/C1 → C2 ⊆ Out C3×C22⋊C848(C3xC2^2:C8):3C2192,129
(C3×C22⋊C8)⋊4C2 = C3×C22.SD16φ: C2/C1 → C2 ⊆ Out C3×C22⋊C848(C3xC2^2:C8):4C2192,133
(C3×C22⋊C8)⋊5C2 = D12⋊13D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C848(C3xC2^2:C8):5C2192,291
(C3×C22⋊C8)⋊6C2 = C22.D24φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):6C2192,295
(C3×C22⋊C8)⋊7C2 = D12.32D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):7C2192,292
(C3×C22⋊C8)⋊8C2 = D12⋊14D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):8C2192,293
(C3×C22⋊C8)⋊9C2 = C23.18D12φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):9C2192,296
(C3×C22⋊C8)⋊10C2 = D12.31D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C848(C3xC2^2:C8):10C2192,290
(C3×C22⋊C8)⋊11C2 = C23.43D12φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):11C2192,294
(C3×C22⋊C8)⋊12C2 = Dic6⋊14D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):12C2192,297
(C3×C22⋊C8)⋊13C2 = C3×C22⋊D8φ: C2/C1 → C2 ⊆ Out C3×C22⋊C848(C3xC2^2:C8):13C2192,880
(C3×C22⋊C8)⋊14C2 = C3×C22.D8φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):14C2192,913
(C3×C22⋊C8)⋊15C2 = C3×D4⋊D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):15C2192,882
(C3×C22⋊C8)⋊16C2 = C3×D4.7D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):16C2192,885
(C3×C22⋊C8)⋊17C2 = C3×C23.19D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):17C2192,915
(C3×C22⋊C8)⋊18C2 = S3×C22⋊C8φ: C2/C1 → C2 ⊆ Out C3×C22⋊C848(C3xC2^2:C8):18C2192,283
(C3×C22⋊C8)⋊19C2 = C3⋊D4⋊C8φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):19C2192,284
(C3×C22⋊C8)⋊20C2 = D6⋊M4(2)φ: C2/C1 → C2 ⊆ Out C3×C22⋊C848(C3xC2^2:C8):20C2192,285
(C3×C22⋊C8)⋊21C2 = D6⋊C8⋊C2φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):21C2192,286
(C3×C22⋊C8)⋊22C2 = D6⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):22C2192,287
(C3×C22⋊C8)⋊23C2 = Dic3⋊M4(2)φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):23C2192,288
(C3×C22⋊C8)⋊24C2 = C3⋊C8⋊26D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):24C2192,289
(C3×C22⋊C8)⋊25C2 = C3×Q8⋊D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):25C2192,881
(C3×C22⋊C8)⋊26C2 = C3×C22⋊SD16φ: C2/C1 → C2 ⊆ Out C3×C22⋊C848(C3xC2^2:C8):26C2192,883
(C3×C22⋊C8)⋊27C2 = C3×C23.46D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):27C2192,914
(C3×C22⋊C8)⋊28C2 = C3×C24.4C4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C848(C3xC2^2:C8):28C2192,840
(C3×C22⋊C8)⋊29C2 = C3×(C22×C8)⋊C2φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):29C2192,841
(C3×C22⋊C8)⋊30C2 = C3×C8⋊9D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):30C2192,868
(C3×C22⋊C8)⋊31C2 = C3×C8⋊6D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8):31C2192,869
(C3×C22⋊C8)⋊32C2 = D4×C24φ: trivial image96(C3xC2^2:C8):32C2192,867

Non-split extensions G=N.Q with N=C3×C22⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C3×C22⋊C8).1C2 = C23.35D12φ: C2/C1 → C2 ⊆ Out C3×C22⋊C848(C3xC2^2:C8).1C2192,26
(C3×C22⋊C8).2C2 = (C2×Dic3)⋊C8φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8).2C2192,28
(C3×C22⋊C8).3C2 = C3×C22.M4(2)φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8).3C2192,130
(C3×C22⋊C8).4C2 = C3×C23.31D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C848(C3xC2^2:C8).4C2192,134
(C3×C22⋊C8).5C2 = C23.40D12φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8).5C2192,281
(C3×C22⋊C8).6C2 = Dic6.32D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8).6C2192,298
(C3×C22⋊C8).7C2 = C23.15D12φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8).7C2192,282
(C3×C22⋊C8).8C2 = C23.39D12φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8).8C2192,280
(C3×C22⋊C8).9C2 = C3×C22⋊Q16φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8).9C2192,884
(C3×C22⋊C8).10C2 = C3×C23.48D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8).10C2192,917
(C3×C22⋊C8).11C2 = C3×C23.20D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8).11C2192,918
(C3×C22⋊C8).12C2 = Dic3.5M4(2)φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8).12C2192,277
(C3×C22⋊C8).13C2 = Dic3.M4(2)φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8).13C2192,278
(C3×C22⋊C8).14C2 = C24⋊C4⋊C2φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8).14C2192,279
(C3×C22⋊C8).15C2 = C3×C23.47D4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8).15C2192,916
(C3×C22⋊C8).16C2 = C3×C42.6C4φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8).16C2192,865
(C3×C22⋊C8).17C2 = C3×C42.7C22φ: C2/C1 → C2 ⊆ Out C3×C22⋊C896(C3xC2^2:C8).17C2192,866
(C3×C22⋊C8).18C2 = C3×C42.12C4φ: trivial image96(C3xC2^2:C8).18C2192,864

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