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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=SD16

Direct product G=N×Q with N=C2×C4 and Q=SD16
dρLabelID
C2×C4×SD1664C2xC4xSD16128,1669

Semidirect products G=N:Q with N=C2×C4 and Q=SD16
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1SD16 = (C2×C4)⋊SD16φ: SD16/C2 → D4 ⊆ Aut C2×C432(C2xC4):1SD16128,331
(C2×C4)⋊2SD16 = Q8⋊D4⋊C2φ: SD16/C2 → D4 ⊆ Aut C2×C432(C2xC4):2SD16128,336
(C2×C4)⋊3SD16 = (C2×C4)⋊3SD16φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4):3SD16128,745
(C2×C4)⋊4SD16 = (C2×C8)⋊20D4φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4):4SD16128,746
(C2×C4)⋊5SD16 = (C2×C4)⋊5SD16φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4):5SD16128,787
(C2×C4)⋊6SD16 = C42.264D4φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4):6SD16128,1938
(C2×C4)⋊7SD16 = C42.266D4φ: SD16/C4 → C22 ⊆ Aut C2×C432(C2xC4):7SD16128,1940
(C2×C4)⋊8SD16 = C42.294D4φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4):8SD16128,1978
(C2×C4)⋊9SD16 = (C2×C4)⋊9SD16φ: SD16/C8 → C2 ⊆ Aut C2×C464(C2xC4):9SD16128,700
(C2×C4)⋊10SD16 = C2×C8⋊5D4φ: SD16/C8 → C2 ⊆ Aut C2×C464(C2xC4):10SD16128,1875
(C2×C4)⋊11SD16 = C42.365D4φ: SD16/C8 → C2 ⊆ Aut C2×C464(C2xC4):11SD16128,1899
(C2×C4)⋊12SD16 = (C2×SD16)⋊14C4φ: SD16/D4 → C2 ⊆ Aut C2×C464(C2xC4):12SD16128,609
(C2×C4)⋊13SD16 = C2×D4.D4φ: SD16/D4 → C2 ⊆ Aut C2×C464(C2xC4):13SD16128,1762
(C2×C4)⋊14SD16 = C42.222D4φ: SD16/D4 → C2 ⊆ Aut C2×C432(C2xC4):14SD16128,1833
(C2×C4)⋊15SD16 = (C2×SD16)⋊15C4φ: SD16/Q8 → C2 ⊆ Aut C2×C464(C2xC4):15SD16128,612
(C2×C4)⋊16SD16 = C2×C4⋊SD16φ: SD16/Q8 → C2 ⊆ Aut C2×C464(C2xC4):16SD16128,1764
(C2×C4)⋊17SD16 = C42.223D4φ: SD16/Q8 → C2 ⊆ Aut C2×C464(C2xC4):17SD16128,1835

Non-split extensions G=N.Q with N=C2×C4 and Q=SD16
extensionφ:Q→Aut NdρLabelID
(C2×C4).1SD16 = C23.D8φ: SD16/C2 → D4 ⊆ Aut C2×C4168+(C2xC4).1SD16128,71
(C2×C4).2SD16 = C23.2D8φ: SD16/C2 → D4 ⊆ Aut C2×C4328-(C2xC4).2SD16128,72
(C2×C4).3SD16 = C2.C2≀C4φ: SD16/C2 → D4 ⊆ Aut C2×C432(C2xC4).3SD16128,77
(C2×C4).4SD16 = (C2×C4).D8φ: SD16/C2 → D4 ⊆ Aut C2×C432(C2xC4).4SD16128,78
(C2×C4).5SD16 = (C2×C4).Q16φ: SD16/C2 → D4 ⊆ Aut C2×C432(C2xC4).5SD16128,85
(C2×C4).6SD16 = C2.7C2≀C4φ: SD16/C2 → D4 ⊆ Aut C2×C432(C2xC4).6SD16128,86
(C2×C4).7SD16 = (C2×C4).SD16φ: SD16/C2 → D4 ⊆ Aut C2×C432(C2xC4).7SD16128,343
(C2×C4).8SD16 = C4⋊C4.19D4φ: SD16/C2 → D4 ⊆ Aut C2×C432(C2xC4).8SD16128,348
(C2×C4).9SD16 = M5(2).C22φ: SD16/C2 → D4 ⊆ Aut C2×C4168+(C2xC4).9SD16128,970
(C2×C4).10SD16 = C23.10SD16φ: SD16/C2 → D4 ⊆ Aut C2×C4328-(C2xC4).10SD16128,971
(C2×C4).11SD16 = C42.5Q8φ: SD16/C4 → C22 ⊆ Aut C2×C432(C2xC4).11SD16128,18
(C2×C4).12SD16 = C42.27D4φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).12SD16128,24
(C2×C4).13SD16 = C22.SD32φ: SD16/C4 → C22 ⊆ Aut C2×C432(C2xC4).13SD16128,79
(C2×C4).14SD16 = C23.32D8φ: SD16/C4 → C22 ⊆ Aut C2×C432(C2xC4).14SD16128,80
(C2×C4).15SD16 = C8.30D8φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).15SD16128,92
(C2×C4).16SD16 = C4.D16φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).16SD16128,93
(C2×C4).17SD16 = C8.27D8φ: SD16/C4 → C22 ⊆ Aut C2×C4128(C2xC4).17SD16128,94
(C2×C4).18SD16 = C8.16Q16φ: SD16/C4 → C22 ⊆ Aut C2×C4128(C2xC4).18SD16128,95
(C2×C4).19SD16 = C4.10D16φ: SD16/C4 → C22 ⊆ Aut C2×C4128(C2xC4).19SD16128,96
(C2×C4).20SD16 = C4.6Q32φ: SD16/C4 → C22 ⊆ Aut C2×C4128(C2xC4).20SD16128,97
(C2×C4).21SD16 = C8.C42φ: SD16/C4 → C22 ⊆ Aut C2×C432(C2xC4).21SD16128,118
(C2×C4).22SD16 = C8.2C42φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).22SD16128,119
(C2×C4).23SD16 = M5(2).C4φ: SD16/C4 → C22 ⊆ Aut C2×C4324(C2xC4).23SD16128,120
(C2×C4).24SD16 = C42.61D4φ: SD16/C4 → C22 ⊆ Aut C2×C432(C2xC4).24SD16128,249
(C2×C4).25SD16 = C42.62D4φ: SD16/C4 → C22 ⊆ Aut C2×C432(C2xC4).25SD16128,250
(C2×C4).26SD16 = C42.413D4φ: SD16/C4 → C22 ⊆ Aut C2×C432(C2xC4).26SD16128,277
(C2×C4).27SD16 = C42.414D4φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).27SD16128,278
(C2×C4).28SD16 = C42.78D4φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).28SD16128,279
(C2×C4).29SD16 = C42.415D4φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).29SD16128,280
(C2×C4).30SD16 = C42.416D4φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).30SD16128,281
(C2×C4).31SD16 = C42.79D4φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).31SD16128,282
(C2×C4).32SD16 = (C2×D4)⋊Q8φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).32SD16128,755
(C2×C4).33SD16 = (C2×Q8)⋊Q8φ: SD16/C4 → C22 ⊆ Aut C2×C4128(C2xC4).33SD16128,756
(C2×C4).34SD16 = C4⋊C4⋊7D4φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).34SD16128,773
(C2×C4).35SD16 = C4⋊C4.95D4φ: SD16/C4 → C22 ⊆ Aut C2×C4128(C2xC4).35SD16128,775
(C2×C4).36SD16 = (C2×C8)⋊Q8φ: SD16/C4 → C22 ⊆ Aut C2×C4128(C2xC4).36SD16128,790
(C2×C4).37SD16 = C4⋊C4.106D4φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).37SD16128,797
(C2×C4).38SD16 = (C2×Q8).8Q8φ: SD16/C4 → C22 ⊆ Aut C2×C4128(C2xC4).38SD16128,798
(C2×C4).39SD16 = (C2×C4).24D8φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).39SD16128,803
(C2×C4).40SD16 = (C2×C4).19Q16φ: SD16/C4 → C22 ⊆ Aut C2×C4128(C2xC4).40SD16128,804
(C2×C4).41SD16 = C2.(C8⋊3Q8)φ: SD16/C4 → C22 ⊆ Aut C2×C4128(C2xC4).41SD16128,816
(C2×C4).42SD16 = C4.(C4⋊Q8)φ: SD16/C4 → C22 ⊆ Aut C2×C4128(C2xC4).42SD16128,820
(C2×C4).43SD16 = (C2×C8).169D4φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).43SD16128,826
(C2×C4).44SD16 = (C2×C8).170D4φ: SD16/C4 → C22 ⊆ Aut C2×C4128(C2xC4).44SD16128,828
(C2×C4).45SD16 = (C2×C4).28D8φ: SD16/C4 → C22 ⊆ Aut C2×C4128(C2xC4).45SD16128,831
(C2×C4).46SD16 = (C2×C4).23Q16φ: SD16/C4 → C22 ⊆ Aut C2×C4128(C2xC4).46SD16128,832
(C2×C4).47SD16 = C23.39D8φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).47SD16128,871
(C2×C4).48SD16 = C23.40D8φ: SD16/C4 → C22 ⊆ Aut C2×C432(C2xC4).48SD16128,872
(C2×C4).49SD16 = C23.41D8φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).49SD16128,873
(C2×C4).50SD16 = C23.20SD16φ: SD16/C4 → C22 ⊆ Aut C2×C4324(C2xC4).50SD16128,875
(C2×C4).51SD16 = C2×D8⋊2C4φ: SD16/C4 → C22 ⊆ Aut C2×C432(C2xC4).51SD16128,876
(C2×C4).52SD16 = C23.13D8φ: SD16/C4 → C22 ⊆ Aut C2×C4324(C2xC4).52SD16128,877
(C2×C4).53SD16 = C2×M5(2)⋊C2φ: SD16/C4 → C22 ⊆ Aut C2×C432(C2xC4).53SD16128,878
(C2×C4).54SD16 = C2×C8.17D4φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).54SD16128,879
(C2×C4).55SD16 = C2×C8.Q8φ: SD16/C4 → C22 ⊆ Aut C2×C432(C2xC4).55SD16128,886
(C2×C4).56SD16 = M5(2)⋊3C4φ: SD16/C4 → C22 ⊆ Aut C2×C4324(C2xC4).56SD16128,887
(C2×C4).57SD16 = C42.279D4φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).57SD16128,1959
(C2×C4).58SD16 = C42.281D4φ: SD16/C4 → C22 ⊆ Aut C2×C464(C2xC4).58SD16128,1961
(C2×C4).59SD16 = C4.16D16φ: SD16/C8 → C2 ⊆ Aut C2×C464(C2xC4).59SD16128,63
(C2×C4).60SD16 = Q16⋊1C8φ: SD16/C8 → C2 ⊆ Aut C2×C4128(C2xC4).60SD16128,64
(C2×C4).61SD16 = C2.(C8⋊8D4)φ: SD16/C8 → C2 ⊆ Aut C2×C4128(C2xC4).61SD16128,665
(C2×C4).62SD16 = C2.(C8⋊7D4)φ: SD16/C8 → C2 ⊆ Aut C2×C464(C2xC4).62SD16128,666
(C2×C4).63SD16 = C8⋊7(C4⋊C4)φ: SD16/C8 → C2 ⊆ Aut C2×C4128(C2xC4).63SD16128,673
(C2×C4).64SD16 = C8.7C42φ: SD16/C8 → C2 ⊆ Aut C2×C4128(C2xC4).64SD16128,112
(C2×C4).65SD16 = C8.8C42φ: SD16/C8 → C2 ⊆ Aut C2×C464(C2xC4).65SD16128,113
(C2×C4).66SD16 = C8.9C42φ: SD16/C8 → C2 ⊆ Aut C2×C464(C2xC4).66SD16128,114
(C2×C4).67SD16 = C42.315D4φ: SD16/C8 → C2 ⊆ Aut C2×C464(C2xC4).67SD16128,224
(C2×C4).68SD16 = C42.316D4φ: SD16/C8 → C2 ⊆ Aut C2×C464(C2xC4).68SD16128,225
(C2×C4).69SD16 = C8⋊8M4(2)φ: SD16/C8 → C2 ⊆ Aut C2×C464(C2xC4).69SD16128,298
(C2×C4).70SD16 = C42.55Q8φ: SD16/C8 → C2 ⊆ Aut C2×C4128(C2xC4).70SD16128,566
(C2×C4).71SD16 = C42.58Q8φ: SD16/C8 → C2 ⊆ Aut C2×C4128(C2xC4).71SD16128,576
(C2×C4).72SD16 = C42.431D4φ: SD16/C8 → C2 ⊆ Aut C2×C4128(C2xC4).72SD16128,688
(C2×C4).73SD16 = C42.432D4φ: SD16/C8 → C2 ⊆ Aut C2×C464(C2xC4).73SD16128,689
(C2×C4).74SD16 = C42.436D4φ: SD16/C8 → C2 ⊆ Aut C2×C4128(C2xC4).74SD16128,722
(C2×C4).75SD16 = C2×C2.D16φ: SD16/C8 → C2 ⊆ Aut C2×C464(C2xC4).75SD16128,868
(C2×C4).76SD16 = C2×C2.Q32φ: SD16/C8 → C2 ⊆ Aut C2×C4128(C2xC4).76SD16128,869
(C2×C4).77SD16 = C23.24D8φ: SD16/C8 → C2 ⊆ Aut C2×C464(C2xC4).77SD16128,870
(C2×C4).78SD16 = C2×D8.C4φ: SD16/C8 → C2 ⊆ Aut C2×C464(C2xC4).78SD16128,874
(C2×C4).79SD16 = C2×C4.4D8φ: SD16/C8 → C2 ⊆ Aut C2×C464(C2xC4).79SD16128,1860
(C2×C4).80SD16 = C2×C4.SD16φ: SD16/C8 → C2 ⊆ Aut C2×C4128(C2xC4).80SD16128,1861
(C2×C4).81SD16 = C2×C8⋊3Q8φ: SD16/C8 → C2 ⊆ Aut C2×C4128(C2xC4).81SD16128,1889
(C2×C4).82SD16 = C4⋊C4⋊C8φ: SD16/D4 → C2 ⊆ Aut C2×C4128(C2xC4).82SD16128,3
(C2×C4).83SD16 = (C2×Q8)⋊C8φ: SD16/D4 → C2 ⊆ Aut C2×C4128(C2xC4).83SD16128,4
(C2×C4).84SD16 = D8⋊C8φ: SD16/D4 → C2 ⊆ Aut C2×C464(C2xC4).84SD16128,65
(C2×C4).85SD16 = Q16⋊C8φ: SD16/D4 → C2 ⊆ Aut C2×C4128(C2xC4).85SD16128,66
(C2×C4).86SD16 = C16⋊1C8φ: SD16/D4 → C2 ⊆ Aut C2×C4128(C2xC4).86SD16128,100
(C2×C4).87SD16 = D4⋊(C4⋊C4)φ: SD16/D4 → C2 ⊆ Aut C2×C464(C2xC4).87SD16128,596
(C2×C4).88SD16 = C4.Q8⋊10C4φ: SD16/D4 → C2 ⊆ Aut C2×C4128(C2xC4).88SD16128,652
(C2×C4).89SD16 = C4.68(C4×D4)φ: SD16/D4 → C2 ⊆ Aut C2×C4128(C2xC4).89SD16128,659
(C2×C4).90SD16 = C42.8Q8φ: SD16/D4 → C2 ⊆ Aut C2×C4128(C2xC4).90SD16128,28
(C2×C4).91SD16 = C42.389D4φ: SD16/D4 → C2 ⊆ Aut C2×C464(C2xC4).91SD16128,33
(C2×C4).92SD16 = C42.10Q8φ: SD16/D4 → C2 ⊆ Aut C2×C432(C2xC4).92SD16128,35
(C2×C4).93SD16 = C8.11C42φ: SD16/D4 → C2 ⊆ Aut C2×C432(C2xC4).93SD16128,115
(C2×C4).94SD16 = C23.9D8φ: SD16/D4 → C2 ⊆ Aut C2×C4324(C2xC4).94SD16128,116
(C2×C4).95SD16 = C8.13C42φ: SD16/D4 → C2 ⊆ Aut C2×C4324(C2xC4).95SD16128,117
(C2×C4).96SD16 = C8.4C42φ: SD16/D4 → C2 ⊆ Aut C2×C4324(C2xC4).96SD16128,121
(C2×C4).97SD16 = C42.46D4φ: SD16/D4 → C2 ⊆ Aut C2×C464(C2xC4).97SD16128,213
(C2×C4).98SD16 = D4⋊M4(2)φ: SD16/D4 → C2 ⊆ Aut C2×C432(C2xC4).98SD16128,218
(C2×C4).99SD16 = C42.404D4φ: SD16/D4 → C2 ⊆ Aut C2×C432(C2xC4).99SD16128,235
(C2×C4).100SD16 = C2×C4.10D8φ: SD16/D4 → C2 ⊆ Aut C2×C4128(C2xC4).100SD16128,271
(C2×C4).101SD16 = C2×C4.6Q16φ: SD16/D4 → C2 ⊆ Aut C2×C4128(C2xC4).101SD16128,273
(C2×C4).102SD16 = C42.410D4φ: SD16/D4 → C2 ⊆ Aut C2×C464(C2xC4).102SD16128,274
(C2×C4).103SD16 = C42.98D4φ: SD16/D4 → C2 ⊆ Aut C2×C464(C2xC4).103SD16128,534
(C2×C4).104SD16 = C42.30Q8φ: SD16/D4 → C2 ⊆ Aut C2×C4128(C2xC4).104SD16128,680
(C2×C4).105SD16 = C42.117D4φ: SD16/D4 → C2 ⊆ Aut C2×C4128(C2xC4).105SD16128,713
(C2×C4).106SD16 = C42.121D4φ: SD16/D4 → C2 ⊆ Aut C2×C4128(C2xC4).106SD16128,719
(C2×C4).107SD16 = C23.21SD16φ: SD16/D4 → C2 ⊆ Aut C2×C4324(C2xC4).107SD16128,880
(C2×C4).108SD16 = C2×D4⋊2Q8φ: SD16/D4 → C2 ⊆ Aut C2×C464(C2xC4).108SD16128,1803
(C2×C4).109SD16 = (C2×C4).98D8φ: SD16/Q8 → C2 ⊆ Aut C2×C464(C2xC4).109SD16128,2
(C2×C4).110SD16 = Q8⋊C4⋊C4φ: SD16/Q8 → C2 ⊆ Aut C2×C4128(C2xC4).110SD16128,597
(C2×C4).111SD16 = C4.Q8⋊9C4φ: SD16/Q8 → C2 ⊆ Aut C2×C4128(C2xC4).111SD16128,651
(C2×C4).112SD16 = C4.67(C4×D4)φ: SD16/Q8 → C2 ⊆ Aut C2×C464(C2xC4).112SD16128,658
(C2×C4).113SD16 = C42.45D4φ: SD16/Q8 → C2 ⊆ Aut C2×C464(C2xC4).113SD16128,212
(C2×C4).114SD16 = Q8⋊M4(2)φ: SD16/Q8 → C2 ⊆ Aut C2×C464(C2xC4).114SD16128,219
(C2×C4).115SD16 = C42.403D4φ: SD16/Q8 → C2 ⊆ Aut C2×C432(C2xC4).115SD16128,234
(C2×C4).116SD16 = C2×C4.D8φ: SD16/Q8 → C2 ⊆ Aut C2×C464(C2xC4).116SD16128,270
(C2×C4).117SD16 = C42.409D4φ: SD16/Q8 → C2 ⊆ Aut C2×C464(C2xC4).117SD16128,272
(C2×C4).118SD16 = C42.90D4φ: SD16/Q8 → C2 ⊆ Aut C2×C464(C2xC4).118SD16128,302
(C2×C4).119SD16 = C42.99D4φ: SD16/Q8 → C2 ⊆ Aut C2×C4128(C2xC4).119SD16128,535
(C2×C4).120SD16 = C42.118D4φ: SD16/Q8 → C2 ⊆ Aut C2×C464(C2xC4).120SD16128,714
(C2×C4).121SD16 = C42.122D4φ: SD16/Q8 → C2 ⊆ Aut C2×C4128(C2xC4).121SD16128,720
(C2×C4).122SD16 = C2×Q8⋊Q8φ: SD16/Q8 → C2 ⊆ Aut C2×C4128(C2xC4).122SD16128,1805
(C2×C4).123SD16 = C42.385D4central extension (φ=1)128(C2xC4).123SD16128,9
(C2×C4).124SD16 = C42.46Q8central extension (φ=1)128(C2xC4).124SD16128,11
(C2×C4).125SD16 = C2×D4⋊C8central extension (φ=1)64(C2xC4).125SD16128,206
(C2×C4).126SD16 = C2×Q8⋊C8central extension (φ=1)128(C2xC4).126SD16128,207
(C2×C4).127SD16 = C2×C8⋊2C8central extension (φ=1)128(C2xC4).127SD16128,294
(C2×C4).128SD16 = C4×D4⋊C4central extension (φ=1)64(C2xC4).128SD16128,492
(C2×C4).129SD16 = C4×Q8⋊C4central extension (φ=1)128(C2xC4).129SD16128,493
(C2×C4).130SD16 = C4×C4.Q8central extension (φ=1)128(C2xC4).130SD16128,506

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