Extensions 1→N→G→Q→1 with N=C2×C4 and Q=C4×S3

Direct product G=N×Q with N=C2×C4 and Q=C4×S3
dρLabelID
S3×C2×C4296S3xC2xC4^2192,1030

Semidirect products G=N:Q with N=C2×C4 and Q=C4×S3
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(C4×S3) = S3×C23⋊C4φ: C4×S3/S3C4 ⊆ Aut C2×C4248+(C2xC4):1(C4xS3)192,302
(C2×C4)⋊2(C4×S3) = (C2×C4)⋊9D12φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4):2(C4xS3)192,224
(C2×C4)⋊3(C4×S3) = D6⋊C4⋊C4φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4):3(C4xS3)192,227
(C2×C4)⋊4(C4×S3) = D6⋊C46C4φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4):4(C4xS3)192,548
(C2×C4)⋊5(C4×S3) = C6.82+ 1+4φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4):5(C4xS3)192,1063
(C2×C4)⋊6(C4×S3) = C429D6φ: C4×S3/C6C22 ⊆ Aut C2×C448(C2xC4):6(C4xS3)192,1080
(C2×C4)⋊7(C4×S3) = C42.91D6φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4):7(C4xS3)192,1082
(C2×C4)⋊8(C4×S3) = D6⋊C42φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4):8(C4xS3)192,225
(C2×C4)⋊9(C4×S3) = C2×Dic35D4φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4):9(C4xS3)192,1062
(C2×C4)⋊10(C4×S3) = C42.188D6φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4):10(C4xS3)192,1081
(C2×C4)⋊11(C4×S3) = C4×D6⋊C4φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4):11(C4xS3)192,497
(C2×C4)⋊12(C4×S3) = C2×C4×D12φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4):12(C4xS3)192,1032
(C2×C4)⋊13(C4×S3) = C4×C4○D12φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4):13(C4xS3)192,1033
(C2×C4)⋊14(C4×S3) = S3×C2.C42φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4):14(C4xS3)192,222
(C2×C4)⋊15(C4×S3) = C2×S3×C4⋊C4φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4):15(C4xS3)192,1060
(C2×C4)⋊16(C4×S3) = S3×C42⋊C2φ: C4×S3/D6C2 ⊆ Aut C2×C448(C2xC4):16(C4xS3)192,1079

Non-split extensions G=N.Q with N=C2×C4 and Q=C4×S3
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(C4×S3) = C23.D12φ: C4×S3/S3C4 ⊆ Aut C2×C4488-(C2xC4).1(C4xS3)192,32
(C2×C4).2(C4×S3) = C23.2D12φ: C4×S3/S3C4 ⊆ Aut C2×C4248+(C2xC4).2(C4xS3)192,33
(C2×C4).3(C4×S3) = (C2×C4).D12φ: C4×S3/S3C4 ⊆ Aut C2×C4488+(C2xC4).3(C4xS3)192,36
(C2×C4).4(C4×S3) = (C2×C12).D4φ: C4×S3/S3C4 ⊆ Aut C2×C4488-(C2xC4).4(C4xS3)192,37
(C2×C4).5(C4×S3) = C23⋊C45S3φ: C4×S3/S3C4 ⊆ Aut C2×C4488-(C2xC4).5(C4xS3)192,299
(C2×C4).6(C4×S3) = S3×C4.10D4φ: C4×S3/S3C4 ⊆ Aut C2×C4488-(C2xC4).6(C4xS3)192,309
(C2×C4).7(C4×S3) = M4(2).21D6φ: C4×S3/S3C4 ⊆ Aut C2×C4488+(C2xC4).7(C4xS3)192,310
(C2×C4).8(C4×S3) = C6.C4≀C2φ: C4×S3/C6C22 ⊆ Aut C2×C448(C2xC4).8(C4xS3)192,10
(C2×C4).9(C4×S3) = C4⋊Dic3⋊C4φ: C4×S3/C6C22 ⊆ Aut C2×C448(C2xC4).9(C4xS3)192,11
(C2×C4).10(C4×S3) = C42.D6φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).10(C4xS3)192,23
(C2×C4).11(C4×S3) = C42.2D6φ: C4×S3/C6C22 ⊆ Aut C2×C4192(C2xC4).11(C4xS3)192,24
(C2×C4).12(C4×S3) = C23.35D12φ: C4×S3/C6C22 ⊆ Aut C2×C448(C2xC4).12(C4xS3)192,26
(C2×C4).13(C4×S3) = C22.2D24φ: C4×S3/C6C22 ⊆ Aut C2×C448(C2xC4).13(C4xS3)192,29
(C2×C4).14(C4×S3) = C4.Dic12φ: C4×S3/C6C22 ⊆ Aut C2×C4192(C2xC4).14(C4xS3)192,40
(C2×C4).15(C4×S3) = C12.47D8φ: C4×S3/C6C22 ⊆ Aut C2×C4192(C2xC4).15(C4xS3)192,41
(C2×C4).16(C4×S3) = C4.D24φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).16(C4xS3)192,44
(C2×C4).17(C4×S3) = C12.2D8φ: C4×S3/C6C22 ⊆ Aut C2×C4192(C2xC4).17(C4xS3)192,45
(C2×C4).18(C4×S3) = C12.(C4⋊C4)φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).18(C4xS3)192,89
(C2×C4).19(C4×S3) = (C2×C12).Q8φ: C4×S3/C6C22 ⊆ Aut C2×C4484(C2xC4).19(C4xS3)192,92
(C2×C4).20(C4×S3) = M4(2)⋊Dic3φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).20(C4xS3)192,113
(C2×C4).21(C4×S3) = (C2×C24)⋊C4φ: C4×S3/C6C22 ⊆ Aut C2×C4484(C2xC4).21(C4xS3)192,115
(C2×C4).22(C4×S3) = (C2×C12)⋊Q8φ: C4×S3/C6C22 ⊆ Aut C2×C4192(C2xC4).22(C4xS3)192,205
(C2×C4).23(C4×S3) = C6.(C4×Q8)φ: C4×S3/C6C22 ⊆ Aut C2×C4192(C2xC4).23(C4xS3)192,206
(C2×C4).24(C4×S3) = C2.(C4×D12)φ: C4×S3/C6C22 ⊆ Aut C2×C4192(C2xC4).24(C4xS3)192,212
(C2×C4).25(C4×S3) = C2.(C4×Dic6)φ: C4×S3/C6C22 ⊆ Aut C2×C4192(C2xC4).25(C4xS3)192,213
(C2×C4).26(C4×S3) = Dic3⋊C4⋊C4φ: C4×S3/C6C22 ⊆ Aut C2×C4192(C2xC4).26(C4xS3)192,214
(C2×C4).27(C4×S3) = D6⋊C43C4φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).27(C4xS3)192,229
(C2×C4).28(C4×S3) = C24⋊Q8φ: C4×S3/C6C22 ⊆ Aut C2×C4192(C2xC4).28(C4xS3)192,260
(C2×C4).29(C4×S3) = C89D12φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).29(C4xS3)192,265
(C2×C4).30(C4×S3) = C24⋊C4⋊C2φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).30(C4xS3)192,279
(C2×C4).31(C4×S3) = D6⋊C8⋊C2φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).31(C4xS3)192,286
(C2×C4).32(C4×S3) = D62M4(2)φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).32(C4xS3)192,287
(C2×C4).33(C4×S3) = Dic3⋊M4(2)φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).33(C4xS3)192,288
(C2×C4).34(C4×S3) = C42.27D6φ: C4×S3/C6C22 ⊆ Aut C2×C4192(C2xC4).34(C4xS3)192,387
(C2×C4).35(C4×S3) = D63M4(2)φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).35(C4xS3)192,395
(C2×C4).36(C4×S3) = C42.30D6φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).36(C4xS3)192,398
(C2×C4).37(C4×S3) = C42.31D6φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).37(C4xS3)192,399
(C2×C4).38(C4×S3) = C4⋊C4.225D6φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).38(C4xS3)192,523
(C2×C4).39(C4×S3) = C4○D12⋊C4φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).39(C4xS3)192,525
(C2×C4).40(C4×S3) = Dic3⋊(C4⋊C4)φ: C4×S3/C6C22 ⊆ Aut C2×C4192(C2xC4).40(C4xS3)192,535
(C2×C4).41(C4×S3) = C6.67(C4×D4)φ: C4×S3/C6C22 ⊆ Aut C2×C4192(C2xC4).41(C4xS3)192,537
(C2×C4).42(C4×S3) = D6⋊C47C4φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).42(C4xS3)192,549
(C2×C4).43(C4×S3) = C4⋊C4.232D6φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).43(C4xS3)192,554
(C2×C4).44(C4×S3) = C4⋊C436D6φ: C4×S3/C6C22 ⊆ Aut C2×C448(C2xC4).44(C4xS3)192,560
(C2×C4).45(C4×S3) = C4⋊C4.237D6φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).45(C4xS3)192,563
(C2×C4).46(C4×S3) = C426D6φ: C4×S3/C6C22 ⊆ Aut C2×C4484(C2xC4).46(C4xS3)192,564
(C2×C4).47(C4×S3) = (C2×D12)⋊13C4φ: C4×S3/C6C22 ⊆ Aut C2×C4484(C2xC4).47(C4xS3)192,565
(C2×C4).48(C4×S3) = C23.51D12φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).48(C4xS3)192,679
(C2×C4).49(C4×S3) = C23.8Dic6φ: C4×S3/C6C22 ⊆ Aut C2×C4484(C2xC4).49(C4xS3)192,683
(C2×C4).50(C4×S3) = C24⋊D4φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).50(C4xS3)192,686
(C2×C4).51(C4×S3) = C2421D4φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).51(C4xS3)192,687
(C2×C4).52(C4×S3) = C2×C12.46D4φ: C4×S3/C6C22 ⊆ Aut C2×C448(C2xC4).52(C4xS3)192,689
(C2×C4).53(C4×S3) = C23.53D12φ: C4×S3/C6C22 ⊆ Aut C2×C448(C2xC4).53(C4xS3)192,690
(C2×C4).54(C4×S3) = C23.54D12φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).54(C4xS3)192,692
(C2×C4).55(C4×S3) = C2×C12.47D4φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).55(C4xS3)192,695
(C2×C4).56(C4×S3) = M4(2)⋊24D6φ: C4×S3/C6C22 ⊆ Aut C2×C4484(C2xC4).56(C4xS3)192,698
(C2×C4).57(C4×S3) = C42.87D6φ: C4×S3/C6C22 ⊆ Aut C2×C496(C2xC4).57(C4xS3)192,1075
(C2×C4).58(C4×S3) = M4(2)⋊26D6φ: C4×S3/C6C22 ⊆ Aut C2×C4484(C2xC4).58(C4xS3)192,1304
(C2×C4).59(C4×S3) = C6.(C4×D4)φ: C4×S3/Dic3C2 ⊆ Aut C2×C4192(C2xC4).59(C4xS3)192,211
(C2×C4).60(C4×S3) = D6⋊C45C4φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).60(C4xS3)192,228
(C2×C4).61(C4×S3) = D6.4C42φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).61(C4xS3)192,267
(C2×C4).62(C4×S3) = C42.185D6φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).62(C4xS3)192,268
(C2×C4).63(C4×S3) = C3⋊D4⋊C8φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).63(C4xS3)192,284
(C2×C4).64(C4×S3) = C3⋊C826D4φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).64(C4xS3)192,289
(C2×C4).65(C4×S3) = D122C8φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).65(C4xS3)192,42
(C2×C4).66(C4×S3) = Dic62C8φ: C4×S3/Dic3C2 ⊆ Aut C2×C4192(C2xC4).66(C4xS3)192,43
(C2×C4).67(C4×S3) = Dic6.C8φ: C4×S3/Dic3C2 ⊆ Aut C2×C4964(C2xC4).67(C4xS3)192,74
(C2×C4).68(C4×S3) = C12.2C42φ: C4×S3/Dic3C2 ⊆ Aut C2×C448(C2xC4).68(C4xS3)192,91
(C2×C4).69(C4×S3) = C12.3C42φ: C4×S3/Dic3C2 ⊆ Aut C2×C448(C2xC4).69(C4xS3)192,114
(C2×C4).70(C4×S3) = Dic6⋊C8φ: C4×S3/Dic3C2 ⊆ Aut C2×C4192(C2xC4).70(C4xS3)192,389
(C2×C4).71(C4×S3) = C42.198D6φ: C4×S3/Dic3C2 ⊆ Aut C2×C4192(C2xC4).71(C4xS3)192,390
(C2×C4).72(C4×S3) = D12⋊C8φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).72(C4xS3)192,393
(C2×C4).73(C4×S3) = C122M4(2)φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).73(C4xS3)192,397
(C2×C4).74(C4×S3) = C16.12D6φ: C4×S3/Dic3C2 ⊆ Aut C2×C4964(C2xC4).74(C4xS3)192,466
(C2×C4).75(C4×S3) = C2×C6.D8φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).75(C4xS3)192,524
(C2×C4).76(C4×S3) = C2×C6.SD16φ: C4×S3/Dic3C2 ⊆ Aut C2×C4192(C2xC4).76(C4xS3)192,528
(C2×C4).77(C4×S3) = C12⋊(C4⋊C4)φ: C4×S3/Dic3C2 ⊆ Aut C2×C4192(C2xC4).77(C4xS3)192,531
(C2×C4).78(C4×S3) = C4.(D6⋊C4)φ: C4×S3/Dic3C2 ⊆ Aut C2×C4192(C2xC4).78(C4xS3)192,532
(C2×C4).79(C4×S3) = (C2×D12)⋊10C4φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).79(C4xS3)192,547
(C2×C4).80(C4×S3) = C12.5C42φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).80(C4xS3)192,556
(C2×C4).81(C4×S3) = C4.(C2×D12)φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).81(C4xS3)192,561
(C2×C4).82(C4×S3) = C12.88(C2×Q8)φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).82(C4xS3)192,678
(C2×C4).83(C4×S3) = C12.7C42φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).83(C4xS3)192,681
(C2×C4).84(C4×S3) = D6⋊C840C2φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).84(C4xS3)192,688
(C2×C4).85(C4×S3) = C2×D12⋊C4φ: C4×S3/Dic3C2 ⊆ Aut C2×C448(C2xC4).85(C4xS3)192,697
(C2×C4).86(C4×S3) = C2×Dic6⋊C4φ: C4×S3/Dic3C2 ⊆ Aut C2×C4192(C2xC4).86(C4xS3)192,1055
(C2×C4).87(C4×S3) = C2×D12.C4φ: C4×S3/Dic3C2 ⊆ Aut C2×C496(C2xC4).87(C4xS3)192,1303
(C2×C4).88(C4×S3) = D6.C42φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).88(C4xS3)192,248
(C2×C4).89(C4×S3) = C42.243D6φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).89(C4xS3)192,249
(C2×C4).90(C4×S3) = C4×Dic3⋊C4φ: C4×S3/C12C2 ⊆ Aut C2×C4192(C2xC4).90(C4xS3)192,490
(C2×C4).91(C4×S3) = (C2×C42).6S3φ: C4×S3/C12C2 ⊆ Aut C2×C4192(C2xC4).91(C4xS3)192,492
(C2×C4).92(C4×S3) = (C2×C42)⋊3S3φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).92(C4xS3)192,499
(C2×C4).93(C4×S3) = C8×C3⋊D4φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).93(C4xS3)192,668
(C2×C4).94(C4×S3) = C2433D4φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).94(C4xS3)192,670
(C2×C4).95(C4×S3) = C4.8Dic12φ: C4×S3/C12C2 ⊆ Aut C2×C4192(C2xC4).95(C4xS3)192,15
(C2×C4).96(C4×S3) = C4.17D24φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).96(C4xS3)192,18
(C2×C4).97(C4×S3) = D12.C8φ: C4×S3/C12C2 ⊆ Aut C2×C4962(C2xC4).97(C4xS3)192,67
(C2×C4).98(C4×S3) = C12.8C42φ: C4×S3/C12C2 ⊆ Aut C2×C448(C2xC4).98(C4xS3)192,82
(C2×C4).99(C4×S3) = C12.9C42φ: C4×S3/C12C2 ⊆ Aut C2×C4192(C2xC4).99(C4xS3)192,110
(C2×C4).100(C4×S3) = C12.10C42φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).100(C4xS3)192,111
(C2×C4).101(C4×S3) = C8×Dic6φ: C4×S3/C12C2 ⊆ Aut C2×C4192(C2xC4).101(C4xS3)192,237
(C2×C4).102(C4×S3) = C2412Q8φ: C4×S3/C12C2 ⊆ Aut C2×C4192(C2xC4).102(C4xS3)192,238
(C2×C4).103(C4×S3) = C8×D12φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).103(C4xS3)192,245
(C2×C4).104(C4×S3) = C86D12φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).104(C4xS3)192,247
(C2×C4).105(C4×S3) = D12.4C8φ: C4×S3/C12C2 ⊆ Aut C2×C4962(C2xC4).105(C4xS3)192,460
(C2×C4).106(C4×S3) = C4×C4.Dic3φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).106(C4xS3)192,481
(C2×C4).107(C4×S3) = C2×C424S3φ: C4×S3/C12C2 ⊆ Aut C2×C448(C2xC4).107(C4xS3)192,486
(C2×C4).108(C4×S3) = C124(C4⋊C4)φ: C4×S3/C12C2 ⊆ Aut C2×C4192(C2xC4).108(C4xS3)192,487
(C2×C4).109(C4×S3) = (C2×Dic6)⋊7C4φ: C4×S3/C12C2 ⊆ Aut C2×C4192(C2xC4).109(C4xS3)192,488
(C2×C4).110(C4×S3) = C4×C4⋊Dic3φ: C4×S3/C12C2 ⊆ Aut C2×C4192(C2xC4).110(C4xS3)192,493
(C2×C4).111(C4×S3) = (C2×C4)⋊6D12φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).111(C4xS3)192,498
(C2×C4).112(C4×S3) = C12.12C42φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).112(C4xS3)192,660
(C2×C4).113(C4×S3) = Dic3⋊C8⋊C2φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).113(C4xS3)192,661
(C2×C4).114(C4×S3) = C2×C2.Dic12φ: C4×S3/C12C2 ⊆ Aut C2×C4192(C2xC4).114(C4xS3)192,662
(C2×C4).115(C4×S3) = (C22×C8)⋊7S3φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).115(C4xS3)192,669
(C2×C4).116(C4×S3) = C2×C2.D24φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).116(C4xS3)192,671
(C2×C4).117(C4×S3) = C23.28D12φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).117(C4xS3)192,672
(C2×C4).118(C4×S3) = C2×C4×Dic6φ: C4×S3/C12C2 ⊆ Aut C2×C4192(C2xC4).118(C4xS3)192,1026
(C2×C4).119(C4×S3) = C2×C8○D12φ: C4×S3/C12C2 ⊆ Aut C2×C496(C2xC4).119(C4xS3)192,1297
(C2×C4).120(C4×S3) = Dic3.5C42φ: C4×S3/D6C2 ⊆ Aut C2×C4192(C2xC4).120(C4xS3)192,207
(C2×C4).121(C4×S3) = Dic3⋊C42φ: C4×S3/D6C2 ⊆ Aut C2×C4192(C2xC4).121(C4xS3)192,208
(C2×C4).122(C4×S3) = C3⋊(C428C4)φ: C4×S3/D6C2 ⊆ Aut C2×C4192(C2xC4).122(C4xS3)192,209
(C2×C4).123(C4×S3) = C3⋊(C425C4)φ: C4×S3/D6C2 ⊆ Aut C2×C4192(C2xC4).123(C4xS3)192,210
(C2×C4).124(C4×S3) = C22.58(S3×D4)φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).124(C4xS3)192,223
(C2×C4).125(C4×S3) = D6⋊(C4⋊C4)φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).125(C4xS3)192,226
(C2×C4).126(C4×S3) = S3×C8⋊C4φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).126(C4xS3)192,263
(C2×C4).127(C4×S3) = C42.182D6φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).127(C4xS3)192,264
(C2×C4).128(C4×S3) = Dic35M4(2)φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).128(C4xS3)192,266
(C2×C4).129(C4×S3) = Dic3.5M4(2)φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).129(C4xS3)192,277
(C2×C4).130(C4×S3) = Dic3.M4(2)φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).130(C4xS3)192,278
(C2×C4).131(C4×S3) = S3×C22⋊C8φ: C4×S3/D6C2 ⊆ Aut C2×C448(C2xC4).131(C4xS3)192,283
(C2×C4).132(C4×S3) = D6⋊M4(2)φ: C4×S3/D6C2 ⊆ Aut C2×C448(C2xC4).132(C4xS3)192,285
(C2×C4).133(C4×S3) = C12.53D8φ: C4×S3/D6C2 ⊆ Aut C2×C4192(C2xC4).133(C4xS3)192,38
(C2×C4).134(C4×S3) = C12.39SD16φ: C4×S3/D6C2 ⊆ Aut C2×C4192(C2xC4).134(C4xS3)192,39
(C2×C4).135(C4×S3) = C24.97D4φ: C4×S3/D6C2 ⊆ Aut C2×C4484(C2xC4).135(C4xS3)192,70
(C2×C4).136(C4×S3) = C48⋊C4φ: C4×S3/D6C2 ⊆ Aut C2×C4484(C2xC4).136(C4xS3)192,71
(C2×C4).137(C4×S3) = C8.25D12φ: C4×S3/D6C2 ⊆ Aut C2×C4484(C2xC4).137(C4xS3)192,73
(C2×C4).138(C4×S3) = C12.C42φ: C4×S3/D6C2 ⊆ Aut C2×C4192(C2xC4).138(C4xS3)192,88
(C2×C4).139(C4×S3) = C423Dic3φ: C4×S3/D6C2 ⊆ Aut C2×C4484(C2xC4).139(C4xS3)192,90
(C2×C4).140(C4×S3) = C12.20C42φ: C4×S3/D6C2 ⊆ Aut C2×C4484(C2xC4).140(C4xS3)192,116
(C2×C4).141(C4×S3) = C12.4C42φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).141(C4xS3)192,117
(C2×C4).142(C4×S3) = M4(2)⋊4Dic3φ: C4×S3/D6C2 ⊆ Aut C2×C4484(C2xC4).142(C4xS3)192,118
(C2×C4).143(C4×S3) = C12.21C42φ: C4×S3/D6C2 ⊆ Aut C2×C4484(C2xC4).143(C4xS3)192,119
(C2×C4).144(C4×S3) = S3×C4⋊C8φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).144(C4xS3)192,391
(C2×C4).145(C4×S3) = C42.200D6φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).145(C4xS3)192,392
(C2×C4).146(C4×S3) = C42.202D6φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).146(C4xS3)192,394
(C2×C4).147(C4×S3) = C12⋊M4(2)φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).147(C4xS3)192,396
(C2×C4).148(C4×S3) = S3×M5(2)φ: C4×S3/D6C2 ⊆ Aut C2×C4484(C2xC4).148(C4xS3)192,465
(C2×C4).149(C4×S3) = C2×C6.Q16φ: C4×S3/D6C2 ⊆ Aut C2×C4192(C2xC4).149(C4xS3)192,521
(C2×C4).150(C4×S3) = C2×C12.Q8φ: C4×S3/D6C2 ⊆ Aut C2×C4192(C2xC4).150(C4xS3)192,522
(C2×C4).151(C4×S3) = Dic3×C4⋊C4φ: C4×S3/D6C2 ⊆ Aut C2×C4192(C2xC4).151(C4xS3)192,533
(C2×C4).152(C4×S3) = (C4×Dic3)⋊8C4φ: C4×S3/D6C2 ⊆ Aut C2×C4192(C2xC4).152(C4xS3)192,534
(C2×C4).153(C4×S3) = (C4×Dic3)⋊9C4φ: C4×S3/D6C2 ⊆ Aut C2×C4192(C2xC4).153(C4xS3)192,536
(C2×C4).154(C4×S3) = C4⋊(D6⋊C4)φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).154(C4xS3)192,546
(C2×C4).155(C4×S3) = C4⋊C4.234D6φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).155(C4xS3)192,557
(C2×C4).156(C4×S3) = Dic3×M4(2)φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).156(C4xS3)192,676
(C2×C4).157(C4×S3) = Dic34M4(2)φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).157(C4xS3)192,677
(C2×C4).158(C4×S3) = C2×C12.53D4φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).158(C4xS3)192,682
(C2×C4).159(C4×S3) = D66M4(2)φ: C4×S3/D6C2 ⊆ Aut C2×C448(C2xC4).159(C4xS3)192,685
(C2×C4).160(C4×S3) = M4(2).31D6φ: C4×S3/D6C2 ⊆ Aut C2×C4484(C2xC4).160(C4xS3)192,691
(C2×C4).161(C4×S3) = C2×C4⋊C47S3φ: C4×S3/D6C2 ⊆ Aut C2×C496(C2xC4).161(C4xS3)192,1061
(C2×C4).162(C4×S3) = C2×S3×M4(2)φ: C4×S3/D6C2 ⊆ Aut C2×C448(C2xC4).162(C4xS3)192,1302
(C2×C4).163(C4×S3) = C8×C3⋊C8central extension (φ=1)192(C2xC4).163(C4xS3)192,12
(C2×C4).164(C4×S3) = C42.279D6central extension (φ=1)192(C2xC4).164(C4xS3)192,13
(C2×C4).165(C4×S3) = C24⋊C8central extension (φ=1)192(C2xC4).165(C4xS3)192,14
(C2×C4).166(C4×S3) = Dic3×C16central extension (φ=1)192(C2xC4).166(C4xS3)192,59
(C2×C4).167(C4×S3) = Dic3⋊C16central extension (φ=1)192(C2xC4).167(C4xS3)192,60
(C2×C4).168(C4×S3) = C4810C4central extension (φ=1)192(C2xC4).168(C4xS3)192,61
(C2×C4).169(C4×S3) = D6⋊C16central extension (φ=1)96(C2xC4).169(C4xS3)192,66
(C2×C4).170(C4×S3) = (C2×C12)⋊3C8central extension (φ=1)192(C2xC4).170(C4xS3)192,83
(C2×C4).171(C4×S3) = (C2×C24)⋊5C4central extension (φ=1)192(C2xC4).171(C4xS3)192,109
(C2×C4).172(C4×S3) = S3×C4×C8central extension (φ=1)96(C2xC4).172(C4xS3)192,243
(C2×C4).173(C4×S3) = C42.282D6central extension (φ=1)96(C2xC4).173(C4xS3)192,244
(C2×C4).174(C4×S3) = C4×C8⋊S3central extension (φ=1)96(C2xC4).174(C4xS3)192,246
(C2×C4).175(C4×S3) = S3×C2×C16central extension (φ=1)96(C2xC4).175(C4xS3)192,458
(C2×C4).176(C4×S3) = C2×D6.C8central extension (φ=1)96(C2xC4).176(C4xS3)192,459
(C2×C4).177(C4×S3) = C2×C4×C3⋊C8central extension (φ=1)192(C2xC4).177(C4xS3)192,479
(C2×C4).178(C4×S3) = C2×C42.S3central extension (φ=1)192(C2xC4).178(C4xS3)192,480
(C2×C4).179(C4×S3) = Dic3×C42central extension (φ=1)192(C2xC4).179(C4xS3)192,489
(C2×C4).180(C4×S3) = C426Dic3central extension (φ=1)192(C2xC4).180(C4xS3)192,491
(C2×C4).181(C4×S3) = Dic3×C2×C8central extension (φ=1)192(C2xC4).181(C4xS3)192,657
(C2×C4).182(C4×S3) = C2×Dic3⋊C8central extension (φ=1)192(C2xC4).182(C4xS3)192,658
(C2×C4).183(C4×S3) = C2×C24⋊C4central extension (φ=1)192(C2xC4).183(C4xS3)192,659
(C2×C4).184(C4×S3) = C2×D6⋊C8central extension (φ=1)96(C2xC4).184(C4xS3)192,667
(C2×C4).185(C4×S3) = C2×C422S3central extension (φ=1)96(C2xC4).185(C4xS3)192,1031
(C2×C4).186(C4×S3) = S3×C22×C8central extension (φ=1)96(C2xC4).186(C4xS3)192,1295
(C2×C4).187(C4×S3) = C22×C8⋊S3central extension (φ=1)96(C2xC4).187(C4xS3)192,1296

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