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Extensions 1→N→G→Q→1 with N=C4×C3⋊C8 and Q=C2

Direct product G=N×Q with N=C4×C3⋊C8 and Q=C2
dρLabelID
C2×C4×C3⋊C8192C2xC4xC3:C8192,479

Semidirect products G=N:Q with N=C4×C3⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C3⋊C8)⋊1C2 = D12⋊2C8φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):1C2192,42
(C4×C3⋊C8)⋊2C2 = C12.57D8φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):2C2192,93
(C4×C3⋊C8)⋊3C2 = C42.196D6φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8484(C4xC3:C8):3C2192,383
(C4×C3⋊C8)⋊4C2 = D12⋊C8φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):4C2192,393
(C4×C3⋊C8)⋊5C2 = C12⋊2M4(2)φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):5C2192,397
(C4×C3⋊C8)⋊6C2 = D4×C3⋊C8φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):6C2192,569
(C4×C3⋊C8)⋊7C2 = C12⋊3M4(2)φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):7C2192,571
(C4×C3⋊C8)⋊8C2 = C4×D4⋊S3φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):8C2192,572
(C4×C3⋊C8)⋊9C2 = C4×D4.S3φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):9C2192,576
(C4×C3⋊C8)⋊10C2 = C4×Q8⋊2S3φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):10C2192,584
(C4×C3⋊C8)⋊11C2 = C42.213D6φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):11C2192,615
(C4×C3⋊C8)⋊12C2 = C42.214D6φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):12C2192,618
(C4×C3⋊C8)⋊13C2 = C42.216D6φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):13C2192,627
(C4×C3⋊C8)⋊14C2 = C12.16D8φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):14C2192,629
(C4×C3⋊C8)⋊15C2 = C12⋊D8φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):15C2192,632
(C4×C3⋊C8)⋊16C2 = C12⋊4SD16φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):16C2192,635
(C4×C3⋊C8)⋊17C2 = C12⋊6SD16φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):17C2192,644
(C4×C3⋊C8)⋊18C2 = C12.D8φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):18C2192,647
(C4×C3⋊C8)⋊19C2 = C42.282D6φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):19C2192,244
(C4×C3⋊C8)⋊20C2 = C4×C8⋊S3φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):20C2192,246
(C4×C3⋊C8)⋊21C2 = D6.4C42φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):21C2192,267
(C4×C3⋊C8)⋊22C2 = C42.185D6φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):22C2192,268
(C4×C3⋊C8)⋊23C2 = C4×C4.Dic3φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):23C2192,481
(C4×C3⋊C8)⋊24C2 = C42.285D6φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):24C2192,484
(C4×C3⋊C8)⋊25C2 = C12.5C42φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):25C2192,556
(C4×C3⋊C8)⋊26C2 = C42.187D6φ: C2/C1 → C2 ⊆ Out C4×C3⋊C896(C4xC3:C8):26C2192,559
(C4×C3⋊C8)⋊27C2 = S3×C4×C8φ: trivial image96(C4xC3:C8):27C2192,243

Non-split extensions G=N.Q with N=C4×C3⋊C8 and Q=C2
extensionφ:Q→Out NdρLabelID
(C4×C3⋊C8).1C2 = C12.53D8φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).1C2192,38
(C4×C3⋊C8).2C2 = C12.39SD16φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).2C2192,39
(C4×C3⋊C8).3C2 = Dic6⋊2C8φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).3C2192,43
(C4×C3⋊C8).4C2 = C12.26Q16φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).4C2192,94
(C4×C3⋊C8).5C2 = Dic6⋊C8φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).5C2192,389
(C4×C3⋊C8).6C2 = C42.198D6φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).6C2192,390
(C4×C3⋊C8).7C2 = Q8×C3⋊C8φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).7C2192,582
(C4×C3⋊C8).8C2 = C42.210D6φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).8C2192,583
(C4×C3⋊C8).9C2 = C4×C3⋊Q16φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).9C2192,588
(C4×C3⋊C8).10C2 = C42.215D6φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).10C2192,624
(C4×C3⋊C8).11C2 = C12.17D8φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).11C2192,637
(C4×C3⋊C8).12C2 = C12.9Q16φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).12C2192,638
(C4×C3⋊C8).13C2 = C12.SD16φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).13C2192,639
(C4×C3⋊C8).14C2 = C12⋊3Q16φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).14C2192,651
(C4×C3⋊C8).15C2 = C12.Q16φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).15C2192,652
(C4×C3⋊C8).16C2 = C42.279D6φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).16C2192,13
(C4×C3⋊C8).17C2 = C24⋊C8φ: C2/C1 → C2 ⊆ Out C4×C3⋊C8192(C4xC3:C8).17C2192,14
(C4×C3⋊C8).18C2 = C8×C3⋊C8φ: trivial image192(C4xC3:C8).18C2192,12

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