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Extensions 1→N→G→Q→1 with N=C3×C6 and Q=SD16

Direct product G=N×Q with N=C3×C6 and Q=SD16
dρLabelID
SD16×C3×C6144SD16xC3xC6288,830

Semidirect products G=N:Q with N=C3×C6 and Q=SD16
extensionφ:Q→Aut NdρLabelID
(C3×C6)⋊SD16 = C2×AΓL1(𝔽9)φ: SD16/C1 → SD16 ⊆ Aut C3×C6188+(C3xC6):SD16288,1027
(C3×C6)⋊2SD16 = C2×C32⋊2SD16φ: SD16/C2 → D4 ⊆ Aut C3×C648(C3xC6):2SD16288,886
(C3×C6)⋊3SD16 = C2×Dic6⋊S3φ: SD16/C4 → C22 ⊆ Aut C3×C696(C3xC6):3SD16288,474
(C3×C6)⋊4SD16 = C2×D12.S3φ: SD16/C4 → C22 ⊆ Aut C3×C696(C3xC6):4SD16288,476
(C3×C6)⋊5SD16 = C2×C32⋊5SD16φ: SD16/C4 → C22 ⊆ Aut C3×C648(C3xC6):5SD16288,480
(C3×C6)⋊6SD16 = C6×C24⋊C2φ: SD16/C8 → C2 ⊆ Aut C3×C696(C3xC6):6SD16288,673
(C3×C6)⋊7SD16 = C2×C24⋊2S3φ: SD16/C8 → C2 ⊆ Aut C3×C6144(C3xC6):7SD16288,759
(C3×C6)⋊8SD16 = C6×D4.S3φ: SD16/D4 → C2 ⊆ Aut C3×C648(C3xC6):8SD16288,704
(C3×C6)⋊9SD16 = C2×C32⋊9SD16φ: SD16/D4 → C2 ⊆ Aut C3×C6144(C3xC6):9SD16288,790
(C3×C6)⋊10SD16 = C6×Q8⋊2S3φ: SD16/Q8 → C2 ⊆ Aut C3×C696(C3xC6):10SD16288,712
(C3×C6)⋊11SD16 = C2×C32⋊11SD16φ: SD16/Q8 → C2 ⊆ Aut C3×C6144(C3xC6):11SD16288,798

Non-split extensions G=N.Q with N=C3×C6 and Q=SD16
extensionφ:Q→Aut NdρLabelID
(C3×C6).1SD16 = C2.AΓL1(𝔽9)φ: SD16/C1 → SD16 ⊆ Aut C3×C6248+(C3xC6).1SD16288,841
(C3×C6).2SD16 = PSU3(𝔽2)⋊C4φ: SD16/C1 → SD16 ⊆ Aut C3×C6368(C3xC6).2SD16288,842
(C3×C6).3SD16 = F9⋊C4φ: SD16/C1 → SD16 ⊆ Aut C3×C6368(C3xC6).3SD16288,843
(C3×C6).4SD16 = C62.3D4φ: SD16/C2 → D4 ⊆ Aut C3×C648(C3xC6).4SD16288,387
(C3×C6).5SD16 = C62.4D4φ: SD16/C2 → D4 ⊆ Aut C3×C696(C3xC6).5SD16288,388
(C3×C6).6SD16 = C62.6D4φ: SD16/C2 → D4 ⊆ Aut C3×C696(C3xC6).6SD16288,390
(C3×C6).7SD16 = D12⋊3Dic3φ: SD16/C4 → C22 ⊆ Aut C3×C696(C3xC6).7SD16288,210
(C3×C6).8SD16 = C6.16D24φ: SD16/C4 → C22 ⊆ Aut C3×C696(C3xC6).8SD16288,211
(C3×C6).9SD16 = C6.17D24φ: SD16/C4 → C22 ⊆ Aut C3×C648(C3xC6).9SD16288,212
(C3×C6).10SD16 = Dic6⋊Dic3φ: SD16/C4 → C22 ⊆ Aut C3×C696(C3xC6).10SD16288,213
(C3×C6).11SD16 = C6.Dic12φ: SD16/C4 → C22 ⊆ Aut C3×C696(C3xC6).11SD16288,214
(C3×C6).12SD16 = C12.73D12φ: SD16/C4 → C22 ⊆ Aut C3×C696(C3xC6).12SD16288,215
(C3×C6).13SD16 = C12.Dic6φ: SD16/C4 → C22 ⊆ Aut C3×C696(C3xC6).13SD16288,221
(C3×C6).14SD16 = C12.6Dic6φ: SD16/C4 → C22 ⊆ Aut C3×C696(C3xC6).14SD16288,222
(C3×C6).15SD16 = C3×C2.Dic12φ: SD16/C8 → C2 ⊆ Aut C3×C696(C3xC6).15SD16288,250
(C3×C6).16SD16 = C3×C8⋊Dic3φ: SD16/C8 → C2 ⊆ Aut C3×C696(C3xC6).16SD16288,251
(C3×C6).17SD16 = C3×C2.D24φ: SD16/C8 → C2 ⊆ Aut C3×C696(C3xC6).17SD16288,255
(C3×C6).18SD16 = C6.4Dic12φ: SD16/C8 → C2 ⊆ Aut C3×C6288(C3xC6).18SD16288,291
(C3×C6).19SD16 = C24⋊2Dic3φ: SD16/C8 → C2 ⊆ Aut C3×C6288(C3xC6).19SD16288,292
(C3×C6).20SD16 = C62.84D4φ: SD16/C8 → C2 ⊆ Aut C3×C6144(C3xC6).20SD16288,296
(C3×C6).21SD16 = C3×C6.SD16φ: SD16/D4 → C2 ⊆ Aut C3×C696(C3xC6).21SD16288,244
(C3×C6).22SD16 = C3×D4⋊Dic3φ: SD16/D4 → C2 ⊆ Aut C3×C648(C3xC6).22SD16288,266
(C3×C6).23SD16 = C62.114D4φ: SD16/D4 → C2 ⊆ Aut C3×C6288(C3xC6).23SD16288,285
(C3×C6).24SD16 = C62.116D4φ: SD16/D4 → C2 ⊆ Aut C3×C6144(C3xC6).24SD16288,307
(C3×C6).25SD16 = C3×C12.Q8φ: SD16/Q8 → C2 ⊆ Aut C3×C696(C3xC6).25SD16288,242
(C3×C6).26SD16 = C3×C6.D8φ: SD16/Q8 → C2 ⊆ Aut C3×C696(C3xC6).26SD16288,243
(C3×C6).27SD16 = C3×Q8⋊2Dic3φ: SD16/Q8 → C2 ⊆ Aut C3×C696(C3xC6).27SD16288,269
(C3×C6).28SD16 = C12.10Dic6φ: SD16/Q8 → C2 ⊆ Aut C3×C6288(C3xC6).28SD16288,283
(C3×C6).29SD16 = C62.113D4φ: SD16/Q8 → C2 ⊆ Aut C3×C6144(C3xC6).29SD16288,284
(C3×C6).30SD16 = C62.117D4φ: SD16/Q8 → C2 ⊆ Aut C3×C6288(C3xC6).30SD16288,310
(C3×C6).31SD16 = C32×D4⋊C4central extension (φ=1)144(C3xC6).31SD16288,320
(C3×C6).32SD16 = C32×Q8⋊C4central extension (φ=1)288(C3xC6).32SD16288,321
(C3×C6).33SD16 = C32×C4.Q8central extension (φ=1)288(C3xC6).33SD16288,324

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