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

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

Semidirect products G=N:Q with N=C6×Q8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C6×Q8)⋊1C6 = C2×S3×SL2(𝔽3)φ: C6/C1 → C6 ⊆ Out C6×Q848(C6xQ8):1C6288,922
(C6×Q8)⋊2C6 = SL2(𝔽3).11D6φ: C6/C1 → C6 ⊆ Out C6×Q8484(C6xQ8):2C6288,923
(C6×Q8)⋊3C6 = C3×D4.A4φ: C6/C1 → C6 ⊆ Out C6×Q8484(C6xQ8):3C6288,985
(C6×Q8)⋊4C6 = C2×C6×SL2(𝔽3)φ: C6/C2 → C3 ⊆ Out C6×Q896(C6xQ8):4C6288,981
(C6×Q8)⋊5C6 = C6×Q8⋊2S3φ: C6/C3 → C2 ⊆ Out C6×Q896(C6xQ8):5C6288,712
(C6×Q8)⋊6C6 = C3×Q8.11D6φ: C6/C3 → C2 ⊆ Out C6×Q8484(C6xQ8):6C6288,713
(C6×Q8)⋊7C6 = C3×D6⋊3Q8φ: C6/C3 → C2 ⊆ Out C6×Q896(C6xQ8):7C6288,717
(C6×Q8)⋊8C6 = C3×C12.23D4φ: C6/C3 → C2 ⊆ Out C6×Q896(C6xQ8):8C6288,718
(C6×Q8)⋊9C6 = S3×C6×Q8φ: C6/C3 → C2 ⊆ Out C6×Q896(C6xQ8):9C6288,995
(C6×Q8)⋊10C6 = C6×Q8⋊3S3φ: C6/C3 → C2 ⊆ Out C6×Q896(C6xQ8):10C6288,996
(C6×Q8)⋊11C6 = C3×Q8.15D6φ: C6/C3 → C2 ⊆ Out C6×Q8484(C6xQ8):11C6288,997
(C6×Q8)⋊12C6 = C32×C22⋊Q8φ: C6/C3 → C2 ⊆ Out C6×Q8144(C6xQ8):12C6288,819
(C6×Q8)⋊13C6 = C32×C4.4D4φ: C6/C3 → C2 ⊆ Out C6×Q8144(C6xQ8):13C6288,821
(C6×Q8)⋊14C6 = SD16×C3×C6φ: C6/C3 → C2 ⊆ Out C6×Q8144(C6xQ8):14C6288,830
(C6×Q8)⋊15C6 = C32×C8.C22φ: C6/C3 → C2 ⊆ Out C6×Q8144(C6xQ8):15C6288,834
(C6×Q8)⋊16C6 = C32×2- (1+4)φ: C6/C3 → C2 ⊆ Out C6×Q8144(C6xQ8):16C6288,1023
(C6×Q8)⋊17C6 = C4○D4×C3×C6φ: trivial image144(C6xQ8):17C6288,1021

Non-split extensions G=N.Q with N=C6×Q8 and Q=C6
extensionφ:Q→Out NdρLabelID
(C6×Q8).1C6 = Dic3×SL2(𝔽3)φ: C6/C1 → C6 ⊆ Out C6×Q896(C6xQ8).1C6288,409
(C6×Q8).2C6 = C2×Dic3.A4φ: C6/C1 → C6 ⊆ Out C6×Q896(C6xQ8).2C6288,921
(C6×Q8).3C6 = 2- (1+4)⋊C9φ: C6/C1 → C6 ⊆ Out C6×Q81444(C6xQ8).3C6288,349
(C6×Q8).4C6 = C4×Q8⋊C9φ: C6/C2 → C3 ⊆ Out C6×Q8288(C6xQ8).4C6288,72
(C6×Q8).5C6 = C22×Q8⋊C9φ: C6/C2 → C3 ⊆ Out C6×Q8288(C6xQ8).5C6288,345
(C6×Q8).6C6 = C2×Q8.C18φ: C6/C2 → C3 ⊆ Out C6×Q8144(C6xQ8).6C6288,347
(C6×Q8).7C6 = C12×SL2(𝔽3)φ: C6/C2 → C3 ⊆ Out C6×Q896(C6xQ8).7C6288,633
(C6×Q8).8C6 = C6×C4.A4φ: C6/C2 → C3 ⊆ Out C6×Q896(C6xQ8).8C6288,983
(C6×Q8).9C6 = C3×Q8⋊2Dic3φ: C6/C3 → C2 ⊆ Out C6×Q896(C6xQ8).9C6288,269
(C6×Q8).10C6 = C3×C12.10D4φ: C6/C3 → C2 ⊆ Out C6×Q8484(C6xQ8).10C6288,270
(C6×Q8).11C6 = C6×C3⋊Q16φ: C6/C3 → C2 ⊆ Out C6×Q896(C6xQ8).11C6288,714
(C6×Q8).12C6 = C3×Dic3⋊Q8φ: C6/C3 → C2 ⊆ Out C6×Q896(C6xQ8).12C6288,715
(C6×Q8).13C6 = C3×Q8×Dic3φ: C6/C3 → C2 ⊆ Out C6×Q896(C6xQ8).13C6288,716
(C6×Q8).14C6 = C9×C4.10D4φ: C6/C3 → C2 ⊆ Out C6×Q81444(C6xQ8).14C6288,51
(C6×Q8).15C6 = C9×Q8⋊C4φ: C6/C3 → C2 ⊆ Out C6×Q8288(C6xQ8).15C6288,53
(C6×Q8).16C6 = C9×C22⋊Q8φ: C6/C3 → C2 ⊆ Out C6×Q8144(C6xQ8).16C6288,172
(C6×Q8).17C6 = C9×C4.4D4φ: C6/C3 → C2 ⊆ Out C6×Q8144(C6xQ8).17C6288,174
(C6×Q8).18C6 = C9×C4⋊Q8φ: C6/C3 → C2 ⊆ Out C6×Q8288(C6xQ8).18C6288,178
(C6×Q8).19C6 = SD16×C18φ: C6/C3 → C2 ⊆ Out C6×Q8144(C6xQ8).19C6288,183
(C6×Q8).20C6 = Q16×C18φ: C6/C3 → C2 ⊆ Out C6×Q8288(C6xQ8).20C6288,184
(C6×Q8).21C6 = C9×C8.C22φ: C6/C3 → C2 ⊆ Out C6×Q81444(C6xQ8).21C6288,187
(C6×Q8).22C6 = C32×C4.10D4φ: C6/C3 → C2 ⊆ Out C6×Q8144(C6xQ8).22C6288,319
(C6×Q8).23C6 = C32×Q8⋊C4φ: C6/C3 → C2 ⊆ Out C6×Q8288(C6xQ8).23C6288,321
(C6×Q8).24C6 = C9×2- (1+4)φ: C6/C3 → C2 ⊆ Out C6×Q81444(C6xQ8).24C6288,372
(C6×Q8).25C6 = C32×C4⋊Q8φ: C6/C3 → C2 ⊆ Out C6×Q8288(C6xQ8).25C6288,825
(C6×Q8).26C6 = Q16×C3×C6φ: C6/C3 → C2 ⊆ Out C6×Q8288(C6xQ8).26C6288,831
(C6×Q8).27C6 = Q8×C36φ: trivial image288(C6xQ8).27C6288,169
(C6×Q8).28C6 = Q8×C2×C18φ: trivial image288(C6xQ8).28C6288,369
(C6×Q8).29C6 = C4○D4×C18φ: trivial image144(C6xQ8).29C6288,370
(C6×Q8).30C6 = Q8×C3×C12φ: trivial image288(C6xQ8).30C6288,816

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