# Extensions 1→N→G→Q→1 with N=Q8×C3×C6 and Q=C2

Direct product G=N×Q with N=Q8×C3×C6 and Q=C2
dρLabelID
Q8×C62288Q8xC6^2288,1020

Semidirect products G=N:Q with N=Q8×C3×C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C3×C6)⋊1C2 = C6×Q82S3φ: C2/C1C2 ⊆ Out Q8×C3×C696(Q8xC3xC6):1C2288,712
(Q8×C3×C6)⋊2C2 = C3×Q8.11D6φ: C2/C1C2 ⊆ Out Q8×C3×C6484(Q8xC3xC6):2C2288,713
(Q8×C3×C6)⋊3C2 = C3×D63Q8φ: C2/C1C2 ⊆ Out Q8×C3×C696(Q8xC3xC6):3C2288,717
(Q8×C3×C6)⋊4C2 = C3×C12.23D4φ: C2/C1C2 ⊆ Out Q8×C3×C696(Q8xC3xC6):4C2288,718
(Q8×C3×C6)⋊5C2 = C2×C3211SD16φ: C2/C1C2 ⊆ Out Q8×C3×C6144(Q8xC3xC6):5C2288,798
(Q8×C3×C6)⋊6C2 = C62.134D4φ: C2/C1C2 ⊆ Out Q8×C3×C6144(Q8xC3xC6):6C2288,799
(Q8×C3×C6)⋊7C2 = C62.261C23φ: C2/C1C2 ⊆ Out Q8×C3×C6144(Q8xC3xC6):7C2288,803
(Q8×C3×C6)⋊8C2 = C62.262C23φ: C2/C1C2 ⊆ Out Q8×C3×C6144(Q8xC3xC6):8C2288,804
(Q8×C3×C6)⋊9C2 = S3×C6×Q8φ: C2/C1C2 ⊆ Out Q8×C3×C696(Q8xC3xC6):9C2288,995
(Q8×C3×C6)⋊10C2 = C6×Q83S3φ: C2/C1C2 ⊆ Out Q8×C3×C696(Q8xC3xC6):10C2288,996
(Q8×C3×C6)⋊11C2 = C3×Q8.15D6φ: C2/C1C2 ⊆ Out Q8×C3×C6484(Q8xC3xC6):11C2288,997
(Q8×C3×C6)⋊12C2 = C2×Q8×C3⋊S3φ: C2/C1C2 ⊆ Out Q8×C3×C6144(Q8xC3xC6):12C2288,1010
(Q8×C3×C6)⋊13C2 = C2×C12.26D6φ: C2/C1C2 ⊆ Out Q8×C3×C6144(Q8xC3xC6):13C2288,1011
(Q8×C3×C6)⋊14C2 = C3272- 1+4φ: C2/C1C2 ⊆ Out Q8×C3×C6144(Q8xC3xC6):14C2288,1012
(Q8×C3×C6)⋊15C2 = C32×C22⋊Q8φ: C2/C1C2 ⊆ Out Q8×C3×C6144(Q8xC3xC6):15C2288,819
(Q8×C3×C6)⋊16C2 = C32×C4.4D4φ: C2/C1C2 ⊆ Out Q8×C3×C6144(Q8xC3xC6):16C2288,821
(Q8×C3×C6)⋊17C2 = SD16×C3×C6φ: C2/C1C2 ⊆ Out Q8×C3×C6144(Q8xC3xC6):17C2288,830
(Q8×C3×C6)⋊18C2 = C32×C8.C22φ: C2/C1C2 ⊆ Out Q8×C3×C6144(Q8xC3xC6):18C2288,834
(Q8×C3×C6)⋊19C2 = C32×2- 1+4φ: C2/C1C2 ⊆ Out Q8×C3×C6144(Q8xC3xC6):19C2288,1023
(Q8×C3×C6)⋊20C2 = C4○D4×C3×C6φ: trivial image144(Q8xC3xC6):20C2288,1021

Non-split extensions G=N.Q with N=Q8×C3×C6 and Q=C2
extensionφ:Q→Out NdρLabelID
(Q8×C3×C6).1C2 = C3×Q82Dic3φ: C2/C1C2 ⊆ Out Q8×C3×C696(Q8xC3xC6).1C2288,269
(Q8×C3×C6).2C2 = C3×C12.10D4φ: C2/C1C2 ⊆ Out Q8×C3×C6484(Q8xC3xC6).2C2288,270
(Q8×C3×C6).3C2 = C62.117D4φ: C2/C1C2 ⊆ Out Q8×C3×C6288(Q8xC3xC6).3C2288,310
(Q8×C3×C6).4C2 = (C6×C12).C4φ: C2/C1C2 ⊆ Out Q8×C3×C6144(Q8xC3xC6).4C2288,311
(Q8×C3×C6).5C2 = C6×C3⋊Q16φ: C2/C1C2 ⊆ Out Q8×C3×C696(Q8xC3xC6).5C2288,714
(Q8×C3×C6).6C2 = C3×Dic3⋊Q8φ: C2/C1C2 ⊆ Out Q8×C3×C696(Q8xC3xC6).6C2288,715
(Q8×C3×C6).7C2 = C3×Q8×Dic3φ: C2/C1C2 ⊆ Out Q8×C3×C696(Q8xC3xC6).7C2288,716
(Q8×C3×C6).8C2 = C2×C327Q16φ: C2/C1C2 ⊆ Out Q8×C3×C6288(Q8xC3xC6).8C2288,800
(Q8×C3×C6).9C2 = C62.259C23φ: C2/C1C2 ⊆ Out Q8×C3×C6288(Q8xC3xC6).9C2288,801
(Q8×C3×C6).10C2 = Q8×C3⋊Dic3φ: C2/C1C2 ⊆ Out Q8×C3×C6288(Q8xC3xC6).10C2288,802
(Q8×C3×C6).11C2 = C32×C4.10D4φ: C2/C1C2 ⊆ Out Q8×C3×C6144(Q8xC3xC6).11C2288,319
(Q8×C3×C6).12C2 = C32×Q8⋊C4φ: C2/C1C2 ⊆ Out Q8×C3×C6288(Q8xC3xC6).12C2288,321
(Q8×C3×C6).13C2 = C32×C4⋊Q8φ: C2/C1C2 ⊆ Out Q8×C3×C6288(Q8xC3xC6).13C2288,825
(Q8×C3×C6).14C2 = Q16×C3×C6φ: C2/C1C2 ⊆ Out Q8×C3×C6288(Q8xC3xC6).14C2288,831
(Q8×C3×C6).15C2 = Q8×C3×C12φ: trivial image288(Q8xC3xC6).15C2288,816

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