Extensions 1→N→G→Q→1 with N=C3xC12 and Q=C2xC6

Direct product G=NxQ with N=C3xC12 and Q=C2xC6
dρLabelID
C62xC12432C6^2xC12432,730

Semidirect products G=N:Q with N=C3xC12 and Q=C2xC6
extensionφ:Q→Aut NdρLabelID
(C3xC12):(C2xC6) = D4xC32:C6φ: C2xC6/C1C2xC6 ⊆ Aut C3xC123612+(C3xC12):(C2xC6)432,360
(C3xC12):2(C2xC6) = C2xHe3:4D4φ: C2xC6/C2C6 ⊆ Aut C3xC1272(C3xC12):2(C2xC6)432,350
(C3xC12):3(C2xC6) = C2xC4xC32:C6φ: C2xC6/C2C6 ⊆ Aut C3xC1272(C3xC12):3(C2xC6)432,349
(C3xC12):4(C2xC6) = C2xD4xHe3φ: C2xC6/C2C6 ⊆ Aut C3xC1272(C3xC12):4(C2xC6)432,404
(C3xC12):5(C2xC6) = C3xS3xD12φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12):5(C2xC6)432,649
(C3xC12):6(C2xC6) = C3xD6:D6φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12):6(C2xC6)432,650
(C3xC12):7(C2xC6) = S3xD4xC32φ: C2xC6/C3C22 ⊆ Aut C3xC1272(C3xC12):7(C2xC6)432,704
(C3xC12):8(C2xC6) = C3xD4xC3:S3φ: C2xC6/C3C22 ⊆ Aut C3xC1272(C3xC12):8(C2xC6)432,714
(C3xC12):9(C2xC6) = S32xC12φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12):9(C2xC6)432,648
(C3xC12):10(C2xC6) = C22xC4xHe3φ: C2xC6/C22C3 ⊆ Aut C3xC12144(C3xC12):10(C2xC6)432,401
(C3xC12):11(C2xC6) = C6xC12:S3φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12):11(C2xC6)432,712
(C3xC12):12(C2xC6) = C3xC6xD12φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12):12(C2xC6)432,702
(C3xC12):13(C2xC6) = S3xC6xC12φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12):13(C2xC6)432,701
(C3xC12):14(C2xC6) = C3:S3xC2xC12φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12):14(C2xC6)432,711
(C3xC12):15(C2xC6) = D4xC32xC6φ: C2xC6/C6C2 ⊆ Aut C3xC12216(C3xC12):15(C2xC6)432,731

Non-split extensions G=N.Q with N=C3xC12 and Q=C2xC6
extensionφ:Q→Aut NdρLabelID
(C3xC12).1(C2xC6) = He3:8SD16φ: C2xC6/C1C2xC6 ⊆ Aut C3xC127212-(C3xC12).1(C2xC6)432,152
(C3xC12).2(C2xC6) = He3:6D8φ: C2xC6/C1C2xC6 ⊆ Aut C3xC127212+(C3xC12).2(C2xC6)432,153
(C3xC12).3(C2xC6) = He3:6Q16φ: C2xC6/C1C2xC6 ⊆ Aut C3xC1214412-(C3xC12).3(C2xC6)432,160
(C3xC12).4(C2xC6) = He3:10SD16φ: C2xC6/C1C2xC6 ⊆ Aut C3xC127212+(C3xC12).4(C2xC6)432,161
(C3xC12).5(C2xC6) = C62.13D6φ: C2xC6/C1C2xC6 ⊆ Aut C3xC127212-(C3xC12).5(C2xC6)432,361
(C3xC12).6(C2xC6) = Q8xC32:C6φ: C2xC6/C1C2xC6 ⊆ Aut C3xC127212-(C3xC12).6(C2xC6)432,368
(C3xC12).7(C2xC6) = (Q8xHe3):C2φ: C2xC6/C1C2xC6 ⊆ Aut C3xC127212+(C3xC12).7(C2xC6)432,369
(C3xC12).8(C2xC6) = He3:4Q16φ: C2xC6/C2C6 ⊆ Aut C3xC121446-(C3xC12).8(C2xC6)432,114
(C3xC12).9(C2xC6) = He3:6SD16φ: C2xC6/C2C6 ⊆ Aut C3xC12726(C3xC12).9(C2xC6)432,117
(C3xC12).10(C2xC6) = He3:4D8φ: C2xC6/C2C6 ⊆ Aut C3xC12726+(C3xC12).10(C2xC6)432,118
(C3xC12).11(C2xC6) = C2xHe3:3Q8φ: C2xC6/C2C6 ⊆ Aut C3xC12144(C3xC12).11(C2xC6)432,348
(C3xC12).12(C2xC6) = C62.36D6φ: C2xC6/C2C6 ⊆ Aut C3xC12726(C3xC12).12(C2xC6)432,351
(C3xC12).13(C2xC6) = C8xC32:C6φ: C2xC6/C2C6 ⊆ Aut C3xC12726(C3xC12).13(C2xC6)432,115
(C3xC12).14(C2xC6) = He3:5M4(2)φ: C2xC6/C2C6 ⊆ Aut C3xC12726(C3xC12).14(C2xC6)432,116
(C3xC12).15(C2xC6) = C2xHe3:3C8φ: C2xC6/C2C6 ⊆ Aut C3xC12144(C3xC12).15(C2xC6)432,136
(C3xC12).16(C2xC6) = He3:7M4(2)φ: C2xC6/C2C6 ⊆ Aut C3xC12726(C3xC12).16(C2xC6)432,137
(C3xC12).17(C2xC6) = D8xHe3φ: C2xC6/C2C6 ⊆ Aut C3xC12726(C3xC12).17(C2xC6)432,216
(C3xC12).18(C2xC6) = D8x3- 1+2φ: C2xC6/C2C6 ⊆ Aut C3xC12726(C3xC12).18(C2xC6)432,217
(C3xC12).19(C2xC6) = SD16xHe3φ: C2xC6/C2C6 ⊆ Aut C3xC12726(C3xC12).19(C2xC6)432,219
(C3xC12).20(C2xC6) = SD16x3- 1+2φ: C2xC6/C2C6 ⊆ Aut C3xC12726(C3xC12).20(C2xC6)432,220
(C3xC12).21(C2xC6) = Q16xHe3φ: C2xC6/C2C6 ⊆ Aut C3xC121446(C3xC12).21(C2xC6)432,222
(C3xC12).22(C2xC6) = Q16x3- 1+2φ: C2xC6/C2C6 ⊆ Aut C3xC121446(C3xC12).22(C2xC6)432,223
(C3xC12).23(C2xC6) = C2xD4x3- 1+2φ: C2xC6/C2C6 ⊆ Aut C3xC1272(C3xC12).23(C2xC6)432,405
(C3xC12).24(C2xC6) = C2xQ8xHe3φ: C2xC6/C2C6 ⊆ Aut C3xC12144(C3xC12).24(C2xC6)432,407
(C3xC12).25(C2xC6) = C2xQ8x3- 1+2φ: C2xC6/C2C6 ⊆ Aut C3xC12144(C3xC12).25(C2xC6)432,408
(C3xC12).26(C2xC6) = C4oD4x3- 1+2φ: C2xC6/C2C6 ⊆ Aut C3xC12726(C3xC12).26(C2xC6)432,411
(C3xC12).27(C2xC6) = C9xD4:S3φ: C2xC6/C3C22 ⊆ Aut C3xC12724(C3xC12).27(C2xC6)432,150
(C3xC12).28(C2xC6) = C9xD4.S3φ: C2xC6/C3C22 ⊆ Aut C3xC12724(C3xC12).28(C2xC6)432,151
(C3xC12).29(C2xC6) = C9xQ8:2S3φ: C2xC6/C3C22 ⊆ Aut C3xC121444(C3xC12).29(C2xC6)432,158
(C3xC12).30(C2xC6) = C9xC3:Q16φ: C2xC6/C3C22 ⊆ Aut C3xC121444(C3xC12).30(C2xC6)432,159
(C3xC12).31(C2xC6) = S3xD4xC9φ: C2xC6/C3C22 ⊆ Aut C3xC12724(C3xC12).31(C2xC6)432,358
(C3xC12).32(C2xC6) = C9xD4:2S3φ: C2xC6/C3C22 ⊆ Aut C3xC12724(C3xC12).32(C2xC6)432,359
(C3xC12).33(C2xC6) = S3xQ8xC9φ: C2xC6/C3C22 ⊆ Aut C3xC121444(C3xC12).33(C2xC6)432,366
(C3xC12).34(C2xC6) = C9xQ8:3S3φ: C2xC6/C3C22 ⊆ Aut C3xC121444(C3xC12).34(C2xC6)432,367
(C3xC12).35(C2xC6) = C3xC32:2D8φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).35(C2xC6)432,418
(C3xC12).36(C2xC6) = C3xC3:D24φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).36(C2xC6)432,419
(C3xC12).37(C2xC6) = C3xDic6:S3φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).37(C2xC6)432,420
(C3xC12).38(C2xC6) = C3xD12.S3φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).38(C2xC6)432,421
(C3xC12).39(C2xC6) = C3xC32:5SD16φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).39(C2xC6)432,422
(C3xC12).40(C2xC6) = C3xC32:2Q16φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).40(C2xC6)432,423
(C3xC12).41(C2xC6) = C3xC32:3Q16φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).41(C2xC6)432,424
(C3xC12).42(C2xC6) = C32xD4:S3φ: C2xC6/C3C22 ⊆ Aut C3xC1272(C3xC12).42(C2xC6)432,475
(C3xC12).43(C2xC6) = C32xD4.S3φ: C2xC6/C3C22 ⊆ Aut C3xC1272(C3xC12).43(C2xC6)432,476
(C3xC12).44(C2xC6) = C32xQ8:2S3φ: C2xC6/C3C22 ⊆ Aut C3xC12144(C3xC12).44(C2xC6)432,477
(C3xC12).45(C2xC6) = C32xC3:Q16φ: C2xC6/C3C22 ⊆ Aut C3xC12144(C3xC12).45(C2xC6)432,478
(C3xC12).46(C2xC6) = C3xC32:7D8φ: C2xC6/C3C22 ⊆ Aut C3xC1272(C3xC12).46(C2xC6)432,491
(C3xC12).47(C2xC6) = C3xC32:9SD16φ: C2xC6/C3C22 ⊆ Aut C3xC1272(C3xC12).47(C2xC6)432,492
(C3xC12).48(C2xC6) = C3xC32:11SD16φ: C2xC6/C3C22 ⊆ Aut C3xC12144(C3xC12).48(C2xC6)432,493
(C3xC12).49(C2xC6) = C3xC32:7Q16φ: C2xC6/C3C22 ⊆ Aut C3xC12144(C3xC12).49(C2xC6)432,494
(C3xC12).50(C2xC6) = C3xS3xDic6φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).50(C2xC6)432,642
(C3xC12).51(C2xC6) = C3xD12:5S3φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).51(C2xC6)432,643
(C3xC12).52(C2xC6) = C3xD12:S3φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).52(C2xC6)432,644
(C3xC12).53(C2xC6) = C3xDic3.D6φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).53(C2xC6)432,645
(C3xC12).54(C2xC6) = C3xD6.6D6φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).54(C2xC6)432,647
(C3xC12).55(C2xC6) = C32xD4:2S3φ: C2xC6/C3C22 ⊆ Aut C3xC1272(C3xC12).55(C2xC6)432,705
(C3xC12).56(C2xC6) = S3xQ8xC32φ: C2xC6/C3C22 ⊆ Aut C3xC12144(C3xC12).56(C2xC6)432,706
(C3xC12).57(C2xC6) = C32xQ8:3S3φ: C2xC6/C3C22 ⊆ Aut C3xC12144(C3xC12).57(C2xC6)432,707
(C3xC12).58(C2xC6) = C3xC12.D6φ: C2xC6/C3C22 ⊆ Aut C3xC1272(C3xC12).58(C2xC6)432,715
(C3xC12).59(C2xC6) = C3xQ8xC3:S3φ: C2xC6/C3C22 ⊆ Aut C3xC12144(C3xC12).59(C2xC6)432,716
(C3xC12).60(C2xC6) = C3xC12.26D6φ: C2xC6/C3C22 ⊆ Aut C3xC12144(C3xC12).60(C2xC6)432,717
(C3xC12).61(C2xC6) = C3xS3xC3:C8φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).61(C2xC6)432,414
(C3xC12).62(C2xC6) = C3xC12.29D6φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).62(C2xC6)432,415
(C3xC12).63(C2xC6) = C3xD6.Dic3φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).63(C2xC6)432,416
(C3xC12).64(C2xC6) = C3xC12.31D6φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).64(C2xC6)432,417
(C3xC12).65(C2xC6) = C3xD6.D6φ: C2xC6/C3C22 ⊆ Aut C3xC12484(C3xC12).65(C2xC6)432,646
(C3xC12).66(C2xC6) = C2xC8xHe3φ: C2xC6/C22C3 ⊆ Aut C3xC12144(C3xC12).66(C2xC6)432,210
(C3xC12).67(C2xC6) = C2xC8x3- 1+2φ: C2xC6/C22C3 ⊆ Aut C3xC12144(C3xC12).67(C2xC6)432,211
(C3xC12).68(C2xC6) = M4(2)xHe3φ: C2xC6/C22C3 ⊆ Aut C3xC12726(C3xC12).68(C2xC6)432,213
(C3xC12).69(C2xC6) = M4(2)x3- 1+2φ: C2xC6/C22C3 ⊆ Aut C3xC12726(C3xC12).69(C2xC6)432,214
(C3xC12).70(C2xC6) = C22xC4x3- 1+2φ: C2xC6/C22C3 ⊆ Aut C3xC12144(C3xC12).70(C2xC6)432,402
(C3xC12).71(C2xC6) = C4oD4xHe3φ: C2xC6/C22C3 ⊆ Aut C3xC12726(C3xC12).71(C2xC6)432,410
(C3xC12).72(C2xC6) = C3xC24:2S3φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).72(C2xC6)432,482
(C3xC12).73(C2xC6) = C3xC32:5D8φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).73(C2xC6)432,483
(C3xC12).74(C2xC6) = C3xC32:5Q16φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).74(C2xC6)432,484
(C3xC12).75(C2xC6) = C6xC32:4Q8φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).75(C2xC6)432,710
(C3xC12).76(C2xC6) = C3xC12.59D6φ: C2xC6/C6C2 ⊆ Aut C3xC1272(C3xC12).76(C2xC6)432,713
(C3xC12).77(C2xC6) = C9xC24:C2φ: C2xC6/C6C2 ⊆ Aut C3xC121442(C3xC12).77(C2xC6)432,111
(C3xC12).78(C2xC6) = C9xD24φ: C2xC6/C6C2 ⊆ Aut C3xC121442(C3xC12).78(C2xC6)432,112
(C3xC12).79(C2xC6) = C9xDic12φ: C2xC6/C6C2 ⊆ Aut C3xC121442(C3xC12).79(C2xC6)432,113
(C3xC12).80(C2xC6) = C18xDic6φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).80(C2xC6)432,341
(C3xC12).81(C2xC6) = C18xD12φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).81(C2xC6)432,346
(C3xC12).82(C2xC6) = C9xC4oD12φ: C2xC6/C6C2 ⊆ Aut C3xC12722(C3xC12).82(C2xC6)432,347
(C3xC12).83(C2xC6) = C32xC24:C2φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).83(C2xC6)432,466
(C3xC12).84(C2xC6) = C32xD24φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).84(C2xC6)432,467
(C3xC12).85(C2xC6) = C32xDic12φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).85(C2xC6)432,468
(C3xC12).86(C2xC6) = C3xC6xDic6φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).86(C2xC6)432,700
(C3xC12).87(C2xC6) = S3xC72φ: C2xC6/C6C2 ⊆ Aut C3xC121442(C3xC12).87(C2xC6)432,109
(C3xC12).88(C2xC6) = C9xC8:S3φ: C2xC6/C6C2 ⊆ Aut C3xC121442(C3xC12).88(C2xC6)432,110
(C3xC12).89(C2xC6) = C18xC3:C8φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).89(C2xC6)432,126
(C3xC12).90(C2xC6) = C9xC4.Dic3φ: C2xC6/C6C2 ⊆ Aut C3xC12722(C3xC12).90(C2xC6)432,127
(C3xC12).91(C2xC6) = S3xC2xC36φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).91(C2xC6)432,345
(C3xC12).92(C2xC6) = S3xC3xC24φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).92(C2xC6)432,464
(C3xC12).93(C2xC6) = C32xC8:S3φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).93(C2xC6)432,465
(C3xC12).94(C2xC6) = C3xC6xC3:C8φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).94(C2xC6)432,469
(C3xC12).95(C2xC6) = C32xC4.Dic3φ: C2xC6/C6C2 ⊆ Aut C3xC1272(C3xC12).95(C2xC6)432,470
(C3xC12).96(C2xC6) = C3:S3xC24φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).96(C2xC6)432,480
(C3xC12).97(C2xC6) = C3xC24:S3φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).97(C2xC6)432,481
(C3xC12).98(C2xC6) = C6xC32:4C8φ: C2xC6/C6C2 ⊆ Aut C3xC12144(C3xC12).98(C2xC6)432,485
(C3xC12).99(C2xC6) = C3xC12.58D6φ: C2xC6/C6C2 ⊆ Aut C3xC1272(C3xC12).99(C2xC6)432,486
(C3xC12).100(C2xC6) = C32xC4oD12φ: C2xC6/C6C2 ⊆ Aut C3xC1272(C3xC12).100(C2xC6)432,703
(C3xC12).101(C2xC6) = D8xC3xC9φ: C2xC6/C6C2 ⊆ Aut C3xC12216(C3xC12).101(C2xC6)432,215
(C3xC12).102(C2xC6) = SD16xC3xC9φ: C2xC6/C6C2 ⊆ Aut C3xC12216(C3xC12).102(C2xC6)432,218
(C3xC12).103(C2xC6) = Q16xC3xC9φ: C2xC6/C6C2 ⊆ Aut C3xC12432(C3xC12).103(C2xC6)432,221
(C3xC12).104(C2xC6) = D4xC3xC18φ: C2xC6/C6C2 ⊆ Aut C3xC12216(C3xC12).104(C2xC6)432,403
(C3xC12).105(C2xC6) = Q8xC3xC18φ: C2xC6/C6C2 ⊆ Aut C3xC12432(C3xC12).105(C2xC6)432,406
(C3xC12).106(C2xC6) = C4oD4xC3xC9φ: C2xC6/C6C2 ⊆ Aut C3xC12216(C3xC12).106(C2xC6)432,409
(C3xC12).107(C2xC6) = D8xC33φ: C2xC6/C6C2 ⊆ Aut C3xC12216(C3xC12).107(C2xC6)432,517
(C3xC12).108(C2xC6) = SD16xC33φ: C2xC6/C6C2 ⊆ Aut C3xC12216(C3xC12).108(C2xC6)432,518
(C3xC12).109(C2xC6) = Q16xC33φ: C2xC6/C6C2 ⊆ Aut C3xC12432(C3xC12).109(C2xC6)432,519
(C3xC12).110(C2xC6) = Q8xC32xC6φ: C2xC6/C6C2 ⊆ Aut C3xC12432(C3xC12).110(C2xC6)432,732
(C3xC12).111(C2xC6) = C4oD4xC33φ: C2xC6/C6C2 ⊆ Aut C3xC12216(C3xC12).111(C2xC6)432,733
(C3xC12).112(C2xC6) = M4(2)xC3xC9central extension (φ=1)216(C3xC12).112(C2xC6)432,212
(C3xC12).113(C2xC6) = M4(2)xC33central extension (φ=1)216(C3xC12).113(C2xC6)432,516

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