Extensions 1→N→G→Q→1 with N=C2×C6 and Q=C22×C4

Direct product G=N×Q with N=C2×C6 and Q=C22×C4
dρLabelID
C24×C12192C2^4xC12192,1530

Semidirect products G=N:Q with N=C2×C6 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
(C2×C6)⋊1(C22×C4) = C4×S3×D4φ: C22×C4/C4C22 ⊆ Aut C2×C648(C2xC6):1(C2^2xC4)192,1103
(C2×C6)⋊2(C22×C4) = C2×S3×C22⋊C4φ: C22×C4/C22C22 ⊆ Aut C2×C648(C2xC6):2(C2^2xC4)192,1043
(C2×C6)⋊3(C22×C4) = C2×Dic34D4φ: C22×C4/C22C22 ⊆ Aut C2×C696(C2xC6):3(C2^2xC4)192,1044
(C2×C6)⋊4(C22×C4) = C2×D4×Dic3φ: C22×C4/C22C22 ⊆ Aut C2×C696(C2xC6):4(C2^2xC4)192,1354
(C2×C6)⋊5(C22×C4) = D4×C2×C12φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6):5(C2^2xC4)192,1404
(C2×C6)⋊6(C22×C4) = C2×C4×C3⋊D4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6):6(C2^2xC4)192,1347
(C2×C6)⋊7(C22×C4) = S3×C23×C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6):7(C2^2xC4)192,1511
(C2×C6)⋊8(C22×C4) = C2×C6×C22⋊C4φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6):8(C2^2xC4)192,1401
(C2×C6)⋊9(C22×C4) = C22×C6.D4φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6):9(C2^2xC4)192,1398
(C2×C6)⋊10(C22×C4) = Dic3×C24φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6):10(C2^2xC4)192,1528

Non-split extensions G=N.Q with N=C2×C6 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
(C2×C6).1(C22×C4) = C4×D42S3φ: C22×C4/C4C22 ⊆ Aut C2×C696(C2xC6).1(C2^2xC4)192,1095
(C2×C6).2(C22×C4) = C4213D6φ: C22×C4/C4C22 ⊆ Aut C2×C648(C2xC6).2(C2^2xC4)192,1104
(C2×C6).3(C22×C4) = C42.108D6φ: C22×C4/C4C22 ⊆ Aut C2×C696(C2xC6).3(C2^2xC4)192,1105
(C2×C6).4(C22×C4) = S3×C8○D4φ: C22×C4/C4C22 ⊆ Aut C2×C6484(C2xC6).4(C2^2xC4)192,1308
(C2×C6).5(C22×C4) = M4(2)⋊28D6φ: C22×C4/C4C22 ⊆ Aut C2×C6484(C2xC6).5(C2^2xC4)192,1309
(C2×C6).6(C22×C4) = C23⋊C45S3φ: C22×C4/C22C22 ⊆ Aut C2×C6488-(C2xC6).6(C2^2xC4)192,299
(C2×C6).7(C22×C4) = S3×C23⋊C4φ: C22×C4/C22C22 ⊆ Aut C2×C6248+(C2xC6).7(C2^2xC4)192,302
(C2×C6).8(C22×C4) = S3×C4.D4φ: C22×C4/C22C22 ⊆ Aut C2×C6248+(C2xC6).8(C2^2xC4)192,303
(C2×C6).9(C22×C4) = M4(2).19D6φ: C22×C4/C22C22 ⊆ Aut C2×C6488-(C2xC6).9(C2^2xC4)192,304
(C2×C6).10(C22×C4) = S3×C4.10D4φ: C22×C4/C22C22 ⊆ Aut C2×C6488-(C2xC6).10(C2^2xC4)192,309
(C2×C6).11(C22×C4) = M4(2).21D6φ: C22×C4/C22C22 ⊆ Aut C2×C6488+(C2xC6).11(C2^2xC4)192,310
(C2×C6).12(C22×C4) = C2×C23.6D6φ: C22×C4/C22C22 ⊆ Aut C2×C648(C2xC6).12(C2^2xC4)192,513
(C2×C6).13(C22×C4) = (C2×D12)⋊13C4φ: C22×C4/C22C22 ⊆ Aut C2×C6484(C2xC6).13(C2^2xC4)192,565
(C2×C6).14(C22×C4) = C2×C12.46D4φ: C22×C4/C22C22 ⊆ Aut C2×C648(C2xC6).14(C2^2xC4)192,689
(C2×C6).15(C22×C4) = M4(2).31D6φ: C22×C4/C22C22 ⊆ Aut C2×C6484(C2xC6).15(C2^2xC4)192,691
(C2×C6).16(C22×C4) = C2×C12.47D4φ: C22×C4/C22C22 ⊆ Aut C2×C696(C2xC6).16(C2^2xC4)192,695
(C2×C6).17(C22×C4) = C2×C23.16D6φ: C22×C4/C22C22 ⊆ Aut C2×C696(C2xC6).17(C2^2xC4)192,1039
(C2×C6).18(C22×C4) = C24.35D6φ: C22×C4/C22C22 ⊆ Aut C2×C648(C2xC6).18(C2^2xC4)192,1045
(C2×C6).19(C22×C4) = C42.87D6φ: C22×C4/C22C22 ⊆ Aut C2×C696(C2xC6).19(C2^2xC4)192,1075
(C2×C6).20(C22×C4) = S3×C42⋊C2φ: C22×C4/C22C22 ⊆ Aut C2×C648(C2xC6).20(C2^2xC4)192,1079
(C2×C6).21(C22×C4) = C429D6φ: C22×C4/C22C22 ⊆ Aut C2×C648(C2xC6).21(C2^2xC4)192,1080
(C2×C6).22(C22×C4) = C42.188D6φ: C22×C4/C22C22 ⊆ Aut C2×C696(C2xC6).22(C2^2xC4)192,1081
(C2×C6).23(C22×C4) = C42.91D6φ: C22×C4/C22C22 ⊆ Aut C2×C696(C2xC6).23(C2^2xC4)192,1082
(C2×C6).24(C22×C4) = C2×S3×M4(2)φ: C22×C4/C22C22 ⊆ Aut C2×C648(C2xC6).24(C2^2xC4)192,1302
(C2×C6).25(C22×C4) = C2×D12.C4φ: C22×C4/C22C22 ⊆ Aut C2×C696(C2xC6).25(C2^2xC4)192,1303
(C2×C6).26(C22×C4) = M4(2)⋊26D6φ: C22×C4/C22C22 ⊆ Aut C2×C6484(C2xC6).26(C2^2xC4)192,1304
(C2×C6).27(C22×C4) = C24.49D6φ: C22×C4/C22C22 ⊆ Aut C2×C648(C2xC6).27(C2^2xC4)192,1357
(C2×C6).28(C22×C4) = C2×D4.Dic3φ: C22×C4/C22C22 ⊆ Aut C2×C696(C2xC6).28(C2^2xC4)192,1377
(C2×C6).29(C22×C4) = C12.76C24φ: C22×C4/C22C22 ⊆ Aut C2×C6484(C2xC6).29(C2^2xC4)192,1378
(C2×C6).30(C22×C4) = Dic3×C4○D4φ: C22×C4/C22C22 ⊆ Aut C2×C696(C2xC6).30(C2^2xC4)192,1385
(C2×C6).31(C22×C4) = C6.1442+ 1+4φ: C22×C4/C22C22 ⊆ Aut C2×C696(C2xC6).31(C2^2xC4)192,1386
(C2×C6).32(C22×C4) = C12×C4○D4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).32(C2^2xC4)192,1406
(C2×C6).33(C22×C4) = C3×C22.11C24φ: C22×C4/C2×C4C2 ⊆ Aut C2×C648(C2xC6).33(C2^2xC4)192,1407
(C2×C6).34(C22×C4) = C3×C23.33C23φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).34(C2^2xC4)192,1409
(C2×C6).35(C22×C4) = C6×C8○D4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).35(C2^2xC4)192,1456
(C2×C6).36(C22×C4) = C3×Q8○M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6484(C2xC6).36(C2^2xC4)192,1457
(C2×C6).37(C22×C4) = (C2×C12)⋊Q8φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).37(C2^2xC4)192,205
(C2×C6).38(C22×C4) = C6.(C4×Q8)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).38(C2^2xC4)192,206
(C2×C6).39(C22×C4) = Dic3.5C42φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).39(C2^2xC4)192,207
(C2×C6).40(C22×C4) = Dic3⋊C42φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).40(C2^2xC4)192,208
(C2×C6).41(C22×C4) = C3⋊(C428C4)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).41(C2^2xC4)192,209
(C2×C6).42(C22×C4) = C3⋊(C425C4)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).42(C2^2xC4)192,210
(C2×C6).43(C22×C4) = C6.(C4×D4)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).43(C2^2xC4)192,211
(C2×C6).44(C22×C4) = C2.(C4×D12)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).44(C2^2xC4)192,212
(C2×C6).45(C22×C4) = C2.(C4×Dic6)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).45(C2^2xC4)192,213
(C2×C6).46(C22×C4) = Dic3⋊C4⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).46(C2^2xC4)192,214
(C2×C6).47(C22×C4) = S3×C2.C42φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).47(C2^2xC4)192,222
(C2×C6).48(C22×C4) = C22.58(S3×D4)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).48(C2^2xC4)192,223
(C2×C6).49(C22×C4) = (C2×C4)⋊9D12φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).49(C2^2xC4)192,224
(C2×C6).50(C22×C4) = D6⋊C42φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).50(C2^2xC4)192,225
(C2×C6).51(C22×C4) = D6⋊(C4⋊C4)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).51(C2^2xC4)192,226
(C2×C6).52(C22×C4) = D6⋊C4⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).52(C2^2xC4)192,227
(C2×C6).53(C22×C4) = D6⋊C45C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).53(C2^2xC4)192,228
(C2×C6).54(C22×C4) = D6⋊C43C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).54(C2^2xC4)192,229
(C2×C6).55(C22×C4) = C8×Dic6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).55(C2^2xC4)192,237
(C2×C6).56(C22×C4) = C2412Q8φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).56(C2^2xC4)192,238
(C2×C6).57(C22×C4) = S3×C4×C8φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).57(C2^2xC4)192,243
(C2×C6).58(C22×C4) = C42.282D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).58(C2^2xC4)192,244
(C2×C6).59(C22×C4) = C8×D12φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).59(C2^2xC4)192,245
(C2×C6).60(C22×C4) = C4×C8⋊S3φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).60(C2^2xC4)192,246
(C2×C6).61(C22×C4) = C86D12φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).61(C2^2xC4)192,247
(C2×C6).62(C22×C4) = D6.C42φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).62(C2^2xC4)192,248
(C2×C6).63(C22×C4) = C42.243D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).63(C2^2xC4)192,249
(C2×C6).64(C22×C4) = C24⋊Q8φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).64(C2^2xC4)192,260
(C2×C6).65(C22×C4) = S3×C8⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).65(C2^2xC4)192,263
(C2×C6).66(C22×C4) = C42.182D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).66(C2^2xC4)192,264
(C2×C6).67(C22×C4) = C89D12φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).67(C2^2xC4)192,265
(C2×C6).68(C22×C4) = Dic35M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).68(C2^2xC4)192,266
(C2×C6).69(C22×C4) = D6.4C42φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).69(C2^2xC4)192,267
(C2×C6).70(C22×C4) = C42.185D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).70(C2^2xC4)192,268
(C2×C6).71(C22×C4) = Dic3.5M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).71(C2^2xC4)192,277
(C2×C6).72(C22×C4) = Dic3.M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).72(C2^2xC4)192,278
(C2×C6).73(C22×C4) = C24⋊C4⋊C2φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).73(C2^2xC4)192,279
(C2×C6).74(C22×C4) = S3×C22⋊C8φ: C22×C4/C2×C4C2 ⊆ Aut C2×C648(C2xC6).74(C2^2xC4)192,283
(C2×C6).75(C22×C4) = C3⋊D4⋊C8φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).75(C2^2xC4)192,284
(C2×C6).76(C22×C4) = D6⋊M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C648(C2xC6).76(C2^2xC4)192,285
(C2×C6).77(C22×C4) = D6⋊C8⋊C2φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).77(C2^2xC4)192,286
(C2×C6).78(C22×C4) = D62M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).78(C2^2xC4)192,287
(C2×C6).79(C22×C4) = Dic3⋊M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).79(C2^2xC4)192,288
(C2×C6).80(C22×C4) = C3⋊C826D4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).80(C2^2xC4)192,289
(C2×C6).81(C22×C4) = C42.27D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).81(C2^2xC4)192,387
(C2×C6).82(C22×C4) = Dic6⋊C8φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).82(C2^2xC4)192,389
(C2×C6).83(C22×C4) = C42.198D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).83(C2^2xC4)192,390
(C2×C6).84(C22×C4) = S3×C4⋊C8φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).84(C2^2xC4)192,391
(C2×C6).85(C22×C4) = C42.200D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).85(C2^2xC4)192,392
(C2×C6).86(C22×C4) = D12⋊C8φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).86(C2^2xC4)192,393
(C2×C6).87(C22×C4) = C42.202D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).87(C2^2xC4)192,394
(C2×C6).88(C22×C4) = D63M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).88(C2^2xC4)192,395
(C2×C6).89(C22×C4) = C12⋊M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).89(C2^2xC4)192,396
(C2×C6).90(C22×C4) = C122M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).90(C2^2xC4)192,397
(C2×C6).91(C22×C4) = C42.30D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).91(C2^2xC4)192,398
(C2×C6).92(C22×C4) = C42.31D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).92(C2^2xC4)192,399
(C2×C6).93(C22×C4) = C124(C4⋊C4)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).93(C2^2xC4)192,487
(C2×C6).94(C22×C4) = (C2×Dic6)⋊7C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).94(C2^2xC4)192,488
(C2×C6).95(C22×C4) = Dic3×C42φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).95(C2^2xC4)192,489
(C2×C6).96(C22×C4) = C4×Dic3⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).96(C2^2xC4)192,490
(C2×C6).97(C22×C4) = (C2×C42).6S3φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).97(C2^2xC4)192,492
(C2×C6).98(C22×C4) = C4×C4⋊Dic3φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).98(C2^2xC4)192,493
(C2×C6).99(C22×C4) = C4×D6⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).99(C2^2xC4)192,497
(C2×C6).100(C22×C4) = (C2×C4)⋊6D12φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).100(C2^2xC4)192,498
(C2×C6).101(C22×C4) = (C2×C42)⋊3S3φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).101(C2^2xC4)192,499
(C2×C6).102(C22×C4) = Dic3×C22⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).102(C2^2xC4)192,500
(C2×C6).103(C22×C4) = C24.55D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).103(C2^2xC4)192,501
(C2×C6).104(C22×C4) = C24.56D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).104(C2^2xC4)192,502
(C2×C6).105(C22×C4) = C24.14D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).105(C2^2xC4)192,503
(C2×C6).106(C22×C4) = C24.15D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).106(C2^2xC4)192,504
(C2×C6).107(C22×C4) = C24.57D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).107(C2^2xC4)192,505
(C2×C6).108(C22×C4) = C24.59D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C648(C2xC6).108(C2^2xC4)192,514
(C2×C6).109(C22×C4) = C24.23D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).109(C2^2xC4)192,515
(C2×C6).110(C22×C4) = C24.24D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).110(C2^2xC4)192,516
(C2×C6).111(C22×C4) = C24.60D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).111(C2^2xC4)192,517
(C2×C6).112(C22×C4) = C12⋊(C4⋊C4)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).112(C2^2xC4)192,531
(C2×C6).113(C22×C4) = C4.(D6⋊C4)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).113(C2^2xC4)192,532
(C2×C6).114(C22×C4) = Dic3×C4⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).114(C2^2xC4)192,533
(C2×C6).115(C22×C4) = (C4×Dic3)⋊8C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).115(C2^2xC4)192,534
(C2×C6).116(C22×C4) = Dic3⋊(C4⋊C4)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).116(C2^2xC4)192,535
(C2×C6).117(C22×C4) = (C4×Dic3)⋊9C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).117(C2^2xC4)192,536
(C2×C6).118(C22×C4) = C6.67(C4×D4)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).118(C2^2xC4)192,537
(C2×C6).119(C22×C4) = C4⋊(D6⋊C4)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).119(C2^2xC4)192,546
(C2×C6).120(C22×C4) = (C2×D12)⋊10C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).120(C2^2xC4)192,547
(C2×C6).121(C22×C4) = D6⋊C46C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).121(C2^2xC4)192,548
(C2×C6).122(C22×C4) = D6⋊C47C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).122(C2^2xC4)192,549
(C2×C6).123(C22×C4) = Dic3×C2×C8φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).123(C2^2xC4)192,657
(C2×C6).124(C22×C4) = C2×Dic3⋊C8φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).124(C2^2xC4)192,658
(C2×C6).125(C22×C4) = C2×C24⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).125(C2^2xC4)192,659
(C2×C6).126(C22×C4) = C12.12C42φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).126(C2^2xC4)192,660
(C2×C6).127(C22×C4) = Dic3⋊C8⋊C2φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).127(C2^2xC4)192,661
(C2×C6).128(C22×C4) = C2×D6⋊C8φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).128(C2^2xC4)192,667
(C2×C6).129(C22×C4) = C8×C3⋊D4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).129(C2^2xC4)192,668
(C2×C6).130(C22×C4) = (C22×C8)⋊7S3φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).130(C2^2xC4)192,669
(C2×C6).131(C22×C4) = C2433D4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).131(C2^2xC4)192,670
(C2×C6).132(C22×C4) = Dic3×M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).132(C2^2xC4)192,676
(C2×C6).133(C22×C4) = Dic34M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).133(C2^2xC4)192,677
(C2×C6).134(C22×C4) = C12.88(C2×Q8)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).134(C2^2xC4)192,678
(C2×C6).135(C22×C4) = C12.7C42φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).135(C2^2xC4)192,681
(C2×C6).136(C22×C4) = D66M4(2)φ: C22×C4/C2×C4C2 ⊆ Aut C2×C648(C2xC6).136(C2^2xC4)192,685
(C2×C6).137(C22×C4) = C24⋊D4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).137(C2^2xC4)192,686
(C2×C6).138(C22×C4) = C2421D4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).138(C2^2xC4)192,687
(C2×C6).139(C22×C4) = D6⋊C840C2φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).139(C2^2xC4)192,688
(C2×C6).140(C22×C4) = C2×C6.C42φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).140(C2^2xC4)192,767
(C2×C6).141(C22×C4) = C4×C6.D4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).141(C2^2xC4)192,768
(C2×C6).142(C22×C4) = C24.73D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).142(C2^2xC4)192,769
(C2×C6).143(C22×C4) = C24.76D6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).143(C2^2xC4)192,772
(C2×C6).144(C22×C4) = C2×C4×Dic6φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).144(C2^2xC4)192,1026
(C2×C6).145(C22×C4) = S3×C2×C42φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).145(C2^2xC4)192,1030
(C2×C6).146(C22×C4) = C2×C422S3φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).146(C2^2xC4)192,1031
(C2×C6).147(C22×C4) = C2×C4×D12φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).147(C2^2xC4)192,1032
(C2×C6).148(C22×C4) = C4×C4○D12φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).148(C2^2xC4)192,1033
(C2×C6).149(C22×C4) = C2×Dic6⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).149(C2^2xC4)192,1055
(C2×C6).150(C22×C4) = C2×S3×C4⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).150(C2^2xC4)192,1060
(C2×C6).151(C22×C4) = C2×C4⋊C47S3φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).151(C2^2xC4)192,1061
(C2×C6).152(C22×C4) = C2×Dic35D4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).152(C2^2xC4)192,1062
(C2×C6).153(C22×C4) = C6.82+ 1+4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).153(C2^2xC4)192,1063
(C2×C6).154(C22×C4) = S3×C22×C8φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).154(C2^2xC4)192,1295
(C2×C6).155(C22×C4) = C22×C8⋊S3φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).155(C2^2xC4)192,1296
(C2×C6).156(C22×C4) = C2×C8○D12φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).156(C2^2xC4)192,1297
(C2×C6).157(C22×C4) = C22×Dic3⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C6192(C2xC6).157(C2^2xC4)192,1342
(C2×C6).158(C22×C4) = C22×D6⋊C4φ: C22×C4/C2×C4C2 ⊆ Aut C2×C696(C2xC6).158(C2^2xC4)192,1346
(C2×C6).159(C22×C4) = C6×C23⋊C4φ: C22×C4/C23C2 ⊆ Aut C2×C648(C2xC6).159(C2^2xC4)192,842
(C2×C6).160(C22×C4) = C3×C23.C23φ: C22×C4/C23C2 ⊆ Aut C2×C6484(C2xC6).160(C2^2xC4)192,843
(C2×C6).161(C22×C4) = C6×C4.D4φ: C22×C4/C23C2 ⊆ Aut C2×C648(C2xC6).161(C2^2xC4)192,844
(C2×C6).162(C22×C4) = C6×C4.10D4φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).162(C2^2xC4)192,845
(C2×C6).163(C22×C4) = C3×M4(2).8C22φ: C22×C4/C23C2 ⊆ Aut C2×C6484(C2xC6).163(C2^2xC4)192,846
(C2×C6).164(C22×C4) = C6×C42⋊C2φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).164(C2^2xC4)192,1403
(C2×C6).165(C22×C4) = C3×C23.32C23φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).165(C2^2xC4)192,1408
(C2×C6).166(C22×C4) = C2×C6×M4(2)φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).166(C2^2xC4)192,1455
(C2×C6).167(C22×C4) = C2×C4×C3⋊C8φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).167(C2^2xC4)192,479
(C2×C6).168(C22×C4) = C2×C42.S3φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).168(C2^2xC4)192,480
(C2×C6).169(C22×C4) = C4×C4.Dic3φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).169(C2^2xC4)192,481
(C2×C6).170(C22×C4) = C2×C12⋊C8φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).170(C2^2xC4)192,482
(C2×C6).171(C22×C4) = C127M4(2)φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).171(C2^2xC4)192,483
(C2×C6).172(C22×C4) = C42.285D6φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).172(C2^2xC4)192,484
(C2×C6).173(C22×C4) = C42.270D6φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).173(C2^2xC4)192,485
(C2×C6).174(C22×C4) = C426Dic3φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).174(C2^2xC4)192,491
(C2×C6).175(C22×C4) = C4210Dic3φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).175(C2^2xC4)192,494
(C2×C6).176(C22×C4) = C4211Dic3φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).176(C2^2xC4)192,495
(C2×C6).177(C22×C4) = C427Dic3φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).177(C2^2xC4)192,496
(C2×C6).178(C22×C4) = C24.58D6φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).178(C2^2xC4)192,509
(C2×C6).179(C22×C4) = C24.19D6φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).179(C2^2xC4)192,510
(C2×C6).180(C22×C4) = C4⋊C45Dic3φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).180(C2^2xC4)192,539
(C2×C6).181(C22×C4) = C4⋊C46Dic3φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).181(C2^2xC4)192,543
(C2×C6).182(C22×C4) = C12.5C42φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).182(C2^2xC4)192,556
(C2×C6).183(C22×C4) = C42.43D6φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).183(C2^2xC4)192,558
(C2×C6).184(C22×C4) = C42.187D6φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).184(C2^2xC4)192,559
(C2×C6).185(C22×C4) = D4×C3⋊C8φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).185(C2^2xC4)192,569
(C2×C6).186(C22×C4) = C42.47D6φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).186(C2^2xC4)192,570
(C2×C6).187(C22×C4) = C123M4(2)φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).187(C2^2xC4)192,571
(C2×C6).188(C22×C4) = Q8×C3⋊C8φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).188(C2^2xC4)192,582
(C2×C6).189(C22×C4) = C42.210D6φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).189(C2^2xC4)192,583
(C2×C6).190(C22×C4) = C2×C12.55D4φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).190(C2^2xC4)192,765
(C2×C6).191(C22×C4) = C24.6Dic3φ: C22×C4/C23C2 ⊆ Aut C2×C648(C2xC6).191(C2^2xC4)192,766
(C2×C6).192(C22×C4) = C24.74D6φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).192(C2^2xC4)192,770
(C2×C6).193(C22×C4) = C24.75D6φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).193(C2^2xC4)192,771
(C2×C6).194(C22×C4) = C2×C12.D4φ: C22×C4/C23C2 ⊆ Aut C2×C648(C2xC6).194(C2^2xC4)192,775
(C2×C6).195(C22×C4) = C2×C23.7D6φ: C22×C4/C23C2 ⊆ Aut C2×C648(C2xC6).195(C2^2xC4)192,778
(C2×C6).196(C22×C4) = C24.29D6φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).196(C2^2xC4)192,779
(C2×C6).197(C22×C4) = C24.30D6φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).197(C2^2xC4)192,780
(C2×C6).198(C22×C4) = C2×C12.10D4φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).198(C2^2xC4)192,785
(C2×C6).199(C22×C4) = (C6×Q8)⋊7C4φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).199(C2^2xC4)192,788
(C2×C6).200(C22×C4) = (C6×D4).11C4φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).200(C2^2xC4)192,793
(C2×C6).201(C22×C4) = (C6×D4).16C4φ: C22×C4/C23C2 ⊆ Aut C2×C6484(C2xC6).201(C2^2xC4)192,796
(C2×C6).202(C22×C4) = (C6×D4)⋊10C4φ: C22×C4/C23C2 ⊆ Aut C2×C6484(C2xC6).202(C2^2xC4)192,799
(C2×C6).203(C22×C4) = C25.4S3φ: C22×C4/C23C2 ⊆ Aut C2×C648(C2xC6).203(C2^2xC4)192,806
(C2×C6).204(C22×C4) = C23×C3⋊C8φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).204(C2^2xC4)192,1339
(C2×C6).205(C22×C4) = C22×C4.Dic3φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).205(C2^2xC4)192,1340
(C2×C6).206(C22×C4) = Dic3×C22×C4φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).206(C2^2xC4)192,1341
(C2×C6).207(C22×C4) = C22×C4⋊Dic3φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).207(C2^2xC4)192,1344
(C2×C6).208(C22×C4) = C2×C23.26D6φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).208(C2^2xC4)192,1345
(C2×C6).209(C22×C4) = C2×Q8×Dic3φ: C22×C4/C23C2 ⊆ Aut C2×C6192(C2xC6).209(C2^2xC4)192,1370
(C2×C6).210(C22×C4) = C6.422- 1+4φ: C22×C4/C23C2 ⊆ Aut C2×C696(C2xC6).210(C2^2xC4)192,1371
(C2×C6).211(C22×C4) = C6×C2.C42central extension (φ=1)192(C2xC6).211(C2^2xC4)192,808
(C2×C6).212(C22×C4) = C3×C424C4central extension (φ=1)192(C2xC6).212(C2^2xC4)192,809
(C2×C6).213(C22×C4) = C12×C22⋊C4central extension (φ=1)96(C2xC6).213(C2^2xC4)192,810
(C2×C6).214(C22×C4) = C12×C4⋊C4central extension (φ=1)192(C2xC6).214(C2^2xC4)192,811
(C2×C6).215(C22×C4) = C3×C243C4central extension (φ=1)48(C2xC6).215(C2^2xC4)192,812
(C2×C6).216(C22×C4) = C3×C23.7Q8central extension (φ=1)96(C2xC6).216(C2^2xC4)192,813
(C2×C6).217(C22×C4) = C3×C23.34D4central extension (φ=1)96(C2xC6).217(C2^2xC4)192,814
(C2×C6).218(C22×C4) = C3×C428C4central extension (φ=1)192(C2xC6).218(C2^2xC4)192,815
(C2×C6).219(C22×C4) = C3×C425C4central extension (φ=1)192(C2xC6).219(C2^2xC4)192,816
(C2×C6).220(C22×C4) = C3×C429C4central extension (φ=1)192(C2xC6).220(C2^2xC4)192,817
(C2×C6).221(C22×C4) = C3×C23.8Q8central extension (φ=1)96(C2xC6).221(C2^2xC4)192,818
(C2×C6).222(C22×C4) = C3×C23.23D4central extension (φ=1)96(C2xC6).222(C2^2xC4)192,819
(C2×C6).223(C22×C4) = C3×C23.63C23central extension (φ=1)192(C2xC6).223(C2^2xC4)192,820
(C2×C6).224(C22×C4) = C3×C24.C22central extension (φ=1)96(C2xC6).224(C2^2xC4)192,821
(C2×C6).225(C22×C4) = C3×C23.65C23central extension (φ=1)192(C2xC6).225(C2^2xC4)192,822
(C2×C6).226(C22×C4) = C3×C24.3C22central extension (φ=1)96(C2xC6).226(C2^2xC4)192,823
(C2×C6).227(C22×C4) = C3×C23.67C23central extension (φ=1)192(C2xC6).227(C2^2xC4)192,824
(C2×C6).228(C22×C4) = C6×C8⋊C4central extension (φ=1)192(C2xC6).228(C2^2xC4)192,836
(C2×C6).229(C22×C4) = C12×M4(2)central extension (φ=1)96(C2xC6).229(C2^2xC4)192,837
(C2×C6).230(C22×C4) = C3×C82M4(2)central extension (φ=1)96(C2xC6).230(C2^2xC4)192,838
(C2×C6).231(C22×C4) = C6×C22⋊C8central extension (φ=1)96(C2xC6).231(C2^2xC4)192,839
(C2×C6).232(C22×C4) = C3×C24.4C4central extension (φ=1)48(C2xC6).232(C2^2xC4)192,840
(C2×C6).233(C22×C4) = C3×(C22×C8)⋊C2central extension (φ=1)96(C2xC6).233(C2^2xC4)192,841
(C2×C6).234(C22×C4) = C6×C4⋊C8central extension (φ=1)192(C2xC6).234(C2^2xC4)192,855
(C2×C6).235(C22×C4) = C3×C4⋊M4(2)central extension (φ=1)96(C2xC6).235(C2^2xC4)192,856
(C2×C6).236(C22×C4) = C3×C42.6C22central extension (φ=1)96(C2xC6).236(C2^2xC4)192,857
(C2×C6).237(C22×C4) = C3×C42.12C4central extension (φ=1)96(C2xC6).237(C2^2xC4)192,864
(C2×C6).238(C22×C4) = C3×C42.6C4central extension (φ=1)96(C2xC6).238(C2^2xC4)192,865
(C2×C6).239(C22×C4) = C3×C42.7C22central extension (φ=1)96(C2xC6).239(C2^2xC4)192,866
(C2×C6).240(C22×C4) = D4×C24central extension (φ=1)96(C2xC6).240(C2^2xC4)192,867
(C2×C6).241(C22×C4) = C3×C89D4central extension (φ=1)96(C2xC6).241(C2^2xC4)192,868
(C2×C6).242(C22×C4) = C3×C86D4central extension (φ=1)96(C2xC6).242(C2^2xC4)192,869
(C2×C6).243(C22×C4) = Q8×C24central extension (φ=1)192(C2xC6).243(C2^2xC4)192,878
(C2×C6).244(C22×C4) = C3×C84Q8central extension (φ=1)192(C2xC6).244(C2^2xC4)192,879
(C2×C6).245(C22×C4) = C2×C6×C4⋊C4central extension (φ=1)192(C2xC6).245(C2^2xC4)192,1402
(C2×C6).246(C22×C4) = Q8×C2×C12central extension (φ=1)192(C2xC6).246(C2^2xC4)192,1405

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