Extensions 1→N→G→Q→1 with N=C3xC6 and Q=C4xS3

Direct product G=NxQ with N=C3xC6 and Q=C4xS3
dρLabelID
S3xC6xC12144S3xC6xC12432,701

Semidirect products G=N:Q with N=C3xC6 and Q=C4xS3
extensionφ:Q→Aut NdρLabelID
(C3xC6):1(C4xS3) = C2xC6.S32φ: C4xS3/C2D6 ⊆ Aut C3xC672(C3xC6):1(C4xS3)432,317
(C3xC6):2(C4xS3) = C2xHe3:(C2xC4)φ: C4xS3/C2D6 ⊆ Aut C3xC672(C3xC6):2(C4xS3)432,321
(C3xC6):3(C4xS3) = C2xC4xC32:C6φ: C4xS3/C4S3 ⊆ Aut C3xC672(C3xC6):3(C4xS3)432,349
(C3xC6):4(C4xS3) = C2xC4xHe3:C2φ: C4xS3/C4S3 ⊆ Aut C3xC672(C3xC6):4(C4xS3)432,385
(C3xC6):5(C4xS3) = C2xS3xC32:C4φ: C4xS3/S3C4 ⊆ Aut C3xC6248+(C3xC6):5(C4xS3)432,753
(C3xC6):6(C4xS3) = C2xDic3xC3:S3φ: C4xS3/C6C22 ⊆ Aut C3xC6144(C3xC6):6(C4xS3)432,677
(C3xC6):7(C4xS3) = C2xC33:9(C2xC4)φ: C4xS3/C6C22 ⊆ Aut C3xC648(C3xC6):7(C4xS3)432,692
(C3xC6):8(C4xS3) = C6xC6.D6φ: C4xS3/Dic3C2 ⊆ Aut C3xC648(C3xC6):8(C4xS3)432,654
(C3xC6):9(C4xS3) = C2xC33:8(C2xC4)φ: C4xS3/Dic3C2 ⊆ Aut C3xC672(C3xC6):9(C4xS3)432,679
(C3xC6):10(C4xS3) = C3:S3xC2xC12φ: C4xS3/C12C2 ⊆ Aut C3xC6144(C3xC6):10(C4xS3)432,711
(C3xC6):11(C4xS3) = C2xC4xC33:C2φ: C4xS3/C12C2 ⊆ Aut C3xC6216(C3xC6):11(C4xS3)432,721
(C3xC6):12(C4xS3) = S3xC6xDic3φ: C4xS3/D6C2 ⊆ Aut C3xC648(C3xC6):12(C4xS3)432,651
(C3xC6):13(C4xS3) = C2xS3xC3:Dic3φ: C4xS3/D6C2 ⊆ Aut C3xC6144(C3xC6):13(C4xS3)432,674

Non-split extensions G=N.Q with N=C3xC6 and Q=C4xS3
extensionφ:Q→Aut NdρLabelID
(C3xC6).1(C4xS3) = C32:C6:C8φ: C4xS3/C2D6 ⊆ Aut C3xC6726(C3xC6).1(C4xS3)432,76
(C3xC6).2(C4xS3) = He3:M4(2)φ: C4xS3/C2D6 ⊆ Aut C3xC6726(C3xC6).2(C4xS3)432,77
(C3xC6).3(C4xS3) = C12.89S32φ: C4xS3/C2D6 ⊆ Aut C3xC6726(C3xC6).3(C4xS3)432,81
(C3xC6).4(C4xS3) = He3:3M4(2)φ: C4xS3/C2D6 ⊆ Aut C3xC6726(C3xC6).4(C4xS3)432,82
(C3xC6).5(C4xS3) = He3:C42φ: C4xS3/C2D6 ⊆ Aut C3xC6144(C3xC6).5(C4xS3)432,94
(C3xC6).6(C4xS3) = C62.D6φ: C4xS3/C2D6 ⊆ Aut C3xC6144(C3xC6).6(C4xS3)432,95
(C3xC6).7(C4xS3) = C62.3D6φ: C4xS3/C2D6 ⊆ Aut C3xC6144(C3xC6).7(C4xS3)432,96
(C3xC6).8(C4xS3) = C62.4D6φ: C4xS3/C2D6 ⊆ Aut C3xC672(C3xC6).8(C4xS3)432,97
(C3xC6).9(C4xS3) = C62.5D6φ: C4xS3/C2D6 ⊆ Aut C3xC672(C3xC6).9(C4xS3)432,98
(C3xC6).10(C4xS3) = C8xC32:C6φ: C4xS3/C4S3 ⊆ Aut C3xC6726(C3xC6).10(C4xS3)432,115
(C3xC6).11(C4xS3) = He3:5M4(2)φ: C4xS3/C4S3 ⊆ Aut C3xC6726(C3xC6).11(C4xS3)432,116
(C3xC6).12(C4xS3) = C8xC9:C6φ: C4xS3/C4S3 ⊆ Aut C3xC6726(C3xC6).12(C4xS3)432,120
(C3xC6).13(C4xS3) = C72:C6φ: C4xS3/C4S3 ⊆ Aut C3xC6726(C3xC6).13(C4xS3)432,121
(C3xC6).14(C4xS3) = C4xC32:C12φ: C4xS3/C4S3 ⊆ Aut C3xC6144(C3xC6).14(C4xS3)432,138
(C3xC6).15(C4xS3) = C62.19D6φ: C4xS3/C4S3 ⊆ Aut C3xC6144(C3xC6).15(C4xS3)432,139
(C3xC6).16(C4xS3) = C62.21D6φ: C4xS3/C4S3 ⊆ Aut C3xC672(C3xC6).16(C4xS3)432,141
(C3xC6).17(C4xS3) = C4xC9:C12φ: C4xS3/C4S3 ⊆ Aut C3xC6144(C3xC6).17(C4xS3)432,144
(C3xC6).18(C4xS3) = Dic9:C12φ: C4xS3/C4S3 ⊆ Aut C3xC6144(C3xC6).18(C4xS3)432,145
(C3xC6).19(C4xS3) = D18:C12φ: C4xS3/C4S3 ⊆ Aut C3xC672(C3xC6).19(C4xS3)432,147
(C3xC6).20(C4xS3) = C8xHe3:C2φ: C4xS3/C4S3 ⊆ Aut C3xC6723(C3xC6).20(C4xS3)432,173
(C3xC6).21(C4xS3) = He3:6M4(2)φ: C4xS3/C4S3 ⊆ Aut C3xC6726(C3xC6).21(C4xS3)432,174
(C3xC6).22(C4xS3) = C4xHe3:3C4φ: C4xS3/C4S3 ⊆ Aut C3xC6144(C3xC6).22(C4xS3)432,186
(C3xC6).23(C4xS3) = C62.29D6φ: C4xS3/C4S3 ⊆ Aut C3xC6144(C3xC6).23(C4xS3)432,187
(C3xC6).24(C4xS3) = C62.31D6φ: C4xS3/C4S3 ⊆ Aut C3xC672(C3xC6).24(C4xS3)432,189
(C3xC6).25(C4xS3) = C2xC4xC9:C6φ: C4xS3/C4S3 ⊆ Aut C3xC672(C3xC6).25(C4xS3)432,353
(C3xC6).26(C4xS3) = Dic3xC32:C4φ: C4xS3/S3C4 ⊆ Aut C3xC6488-(C3xC6).26(C4xS3)432,567
(C3xC6).27(C4xS3) = D6:(C32:C4)φ: C4xS3/S3C4 ⊆ Aut C3xC6248+(C3xC6).27(C4xS3)432,568
(C3xC6).28(C4xS3) = C33:(C4:C4)φ: C4xS3/S3C4 ⊆ Aut C3xC6488-(C3xC6).28(C4xS3)432,569
(C3xC6).29(C4xS3) = S3xC32:2C8φ: C4xS3/S3C4 ⊆ Aut C3xC6488-(C3xC6).29(C4xS3)432,570
(C3xC6).30(C4xS3) = C33:5(C2xC8)φ: C4xS3/S3C4 ⊆ Aut C3xC6248+(C3xC6).30(C4xS3)432,571
(C3xC6).31(C4xS3) = C33:M4(2)φ: C4xS3/S3C4 ⊆ Aut C3xC6488-(C3xC6).31(C4xS3)432,572
(C3xC6).32(C4xS3) = C33:2M4(2)φ: C4xS3/S3C4 ⊆ Aut C3xC6248+(C3xC6).32(C4xS3)432,573
(C3xC6).33(C4xS3) = D9xC3:C8φ: C4xS3/C6C22 ⊆ Aut C3xC61444(C3xC6).33(C4xS3)432,58
(C3xC6).34(C4xS3) = C36.38D6φ: C4xS3/C6C22 ⊆ Aut C3xC6724(C3xC6).34(C4xS3)432,59
(C3xC6).35(C4xS3) = C36.39D6φ: C4xS3/C6C22 ⊆ Aut C3xC61444(C3xC6).35(C4xS3)432,60
(C3xC6).36(C4xS3) = C36.40D6φ: C4xS3/C6C22 ⊆ Aut C3xC6724(C3xC6).36(C4xS3)432,61
(C3xC6).37(C4xS3) = Dic3xDic9φ: C4xS3/C6C22 ⊆ Aut C3xC6144(C3xC6).37(C4xS3)432,87
(C3xC6).38(C4xS3) = Dic9:Dic3φ: C4xS3/C6C22 ⊆ Aut C3xC6144(C3xC6).38(C4xS3)432,88
(C3xC6).39(C4xS3) = C18.Dic6φ: C4xS3/C6C22 ⊆ Aut C3xC6144(C3xC6).39(C4xS3)432,89
(C3xC6).40(C4xS3) = D18:Dic3φ: C4xS3/C6C22 ⊆ Aut C3xC6144(C3xC6).40(C4xS3)432,91
(C3xC6).41(C4xS3) = C6.18D36φ: C4xS3/C6C22 ⊆ Aut C3xC672(C3xC6).41(C4xS3)432,92
(C3xC6).42(C4xS3) = C2xDic3xD9φ: C4xS3/C6C22 ⊆ Aut C3xC6144(C3xC6).42(C4xS3)432,304
(C3xC6).43(C4xS3) = C2xC18.D6φ: C4xS3/C6C22 ⊆ Aut C3xC672(C3xC6).43(C4xS3)432,306
(C3xC6).44(C4xS3) = C3:S3xC3:C8φ: C4xS3/C6C22 ⊆ Aut C3xC6144(C3xC6).44(C4xS3)432,431
(C3xC6).45(C4xS3) = C12.69S32φ: C4xS3/C6C22 ⊆ Aut C3xC672(C3xC6).45(C4xS3)432,432
(C3xC6).46(C4xS3) = C33:8M4(2)φ: C4xS3/C6C22 ⊆ Aut C3xC6144(C3xC6).46(C4xS3)432,434
(C3xC6).47(C4xS3) = C33:9M4(2)φ: C4xS3/C6C22 ⊆ Aut C3xC672(C3xC6).47(C4xS3)432,435
(C3xC6).48(C4xS3) = Dic3xC3:Dic3φ: C4xS3/C6C22 ⊆ Aut C3xC6144(C3xC6).48(C4xS3)432,448
(C3xC6).49(C4xS3) = C62.78D6φ: C4xS3/C6C22 ⊆ Aut C3xC6144(C3xC6).49(C4xS3)432,450
(C3xC6).50(C4xS3) = C62.79D6φ: C4xS3/C6C22 ⊆ Aut C3xC672(C3xC6).50(C4xS3)432,451
(C3xC6).51(C4xS3) = C62.81D6φ: C4xS3/C6C22 ⊆ Aut C3xC6144(C3xC6).51(C4xS3)432,453
(C3xC6).52(C4xS3) = C62.82D6φ: C4xS3/C6C22 ⊆ Aut C3xC6144(C3xC6).52(C4xS3)432,454
(C3xC6).53(C4xS3) = C12.93S32φ: C4xS3/C6C22 ⊆ Aut C3xC6484(C3xC6).53(C4xS3)432,455
(C3xC6).54(C4xS3) = C33:10M4(2)φ: C4xS3/C6C22 ⊆ Aut C3xC6484(C3xC6).54(C4xS3)432,456
(C3xC6).55(C4xS3) = C33:6C42φ: C4xS3/C6C22 ⊆ Aut C3xC648(C3xC6).55(C4xS3)432,460
(C3xC6).56(C4xS3) = C62.84D6φ: C4xS3/C6C22 ⊆ Aut C3xC648(C3xC6).56(C4xS3)432,461
(C3xC6).57(C4xS3) = C62.85D6φ: C4xS3/C6C22 ⊆ Aut C3xC648(C3xC6).57(C4xS3)432,462
(C3xC6).58(C4xS3) = C3xC12.29D6φ: C4xS3/Dic3C2 ⊆ Aut C3xC6484(C3xC6).58(C4xS3)432,415
(C3xC6).59(C4xS3) = C3xC12.31D6φ: C4xS3/Dic3C2 ⊆ Aut C3xC6484(C3xC6).59(C4xS3)432,417
(C3xC6).60(C4xS3) = C3xDic32φ: C4xS3/Dic3C2 ⊆ Aut C3xC648(C3xC6).60(C4xS3)432,425
(C3xC6).61(C4xS3) = C3xC6.D12φ: C4xS3/Dic3C2 ⊆ Aut C3xC648(C3xC6).61(C4xS3)432,427
(C3xC6).62(C4xS3) = C3xC62.C22φ: C4xS3/Dic3C2 ⊆ Aut C3xC648(C3xC6).62(C4xS3)432,429
(C3xC6).63(C4xS3) = D9xC24φ: C4xS3/C12C2 ⊆ Aut C3xC61442(C3xC6).63(C4xS3)432,105
(C3xC6).64(C4xS3) = C3xC8:D9φ: C4xS3/C12C2 ⊆ Aut C3xC61442(C3xC6).64(C4xS3)432,106
(C3xC6).65(C4xS3) = C12xDic9φ: C4xS3/C12C2 ⊆ Aut C3xC6144(C3xC6).65(C4xS3)432,128
(C3xC6).66(C4xS3) = C3xDic9:C4φ: C4xS3/C12C2 ⊆ Aut C3xC6144(C3xC6).66(C4xS3)432,129
(C3xC6).67(C4xS3) = C3xD18:C4φ: C4xS3/C12C2 ⊆ Aut C3xC6144(C3xC6).67(C4xS3)432,134
(C3xC6).68(C4xS3) = C8xC9:S3φ: C4xS3/C12C2 ⊆ Aut C3xC6216(C3xC6).68(C4xS3)432,169
(C3xC6).69(C4xS3) = C72:S3φ: C4xS3/C12C2 ⊆ Aut C3xC6216(C3xC6).69(C4xS3)432,170
(C3xC6).70(C4xS3) = C4xC9:Dic3φ: C4xS3/C12C2 ⊆ Aut C3xC6432(C3xC6).70(C4xS3)432,180
(C3xC6).71(C4xS3) = C6.Dic18φ: C4xS3/C12C2 ⊆ Aut C3xC6432(C3xC6).71(C4xS3)432,181
(C3xC6).72(C4xS3) = C6.11D36φ: C4xS3/C12C2 ⊆ Aut C3xC6216(C3xC6).72(C4xS3)432,183
(C3xC6).73(C4xS3) = D9xC2xC12φ: C4xS3/C12C2 ⊆ Aut C3xC6144(C3xC6).73(C4xS3)432,342
(C3xC6).74(C4xS3) = C2xC4xC9:S3φ: C4xS3/C12C2 ⊆ Aut C3xC6216(C3xC6).74(C4xS3)432,381
(C3xC6).75(C4xS3) = C3:S3xC24φ: C4xS3/C12C2 ⊆ Aut C3xC6144(C3xC6).75(C4xS3)432,480
(C3xC6).76(C4xS3) = C3xC24:S3φ: C4xS3/C12C2 ⊆ Aut C3xC6144(C3xC6).76(C4xS3)432,481
(C3xC6).77(C4xS3) = C12xC3:Dic3φ: C4xS3/C12C2 ⊆ Aut C3xC6144(C3xC6).77(C4xS3)432,487
(C3xC6).78(C4xS3) = C3xC6.Dic6φ: C4xS3/C12C2 ⊆ Aut C3xC6144(C3xC6).78(C4xS3)432,488
(C3xC6).79(C4xS3) = C3xC6.11D12φ: C4xS3/C12C2 ⊆ Aut C3xC6144(C3xC6).79(C4xS3)432,490
(C3xC6).80(C4xS3) = C8xC33:C2φ: C4xS3/C12C2 ⊆ Aut C3xC6216(C3xC6).80(C4xS3)432,496
(C3xC6).81(C4xS3) = C33:15M4(2)φ: C4xS3/C12C2 ⊆ Aut C3xC6216(C3xC6).81(C4xS3)432,497
(C3xC6).82(C4xS3) = C4xC33:5C4φ: C4xS3/C12C2 ⊆ Aut C3xC6432(C3xC6).82(C4xS3)432,503
(C3xC6).83(C4xS3) = C62.146D6φ: C4xS3/C12C2 ⊆ Aut C3xC6432(C3xC6).83(C4xS3)432,504
(C3xC6).84(C4xS3) = C62.148D6φ: C4xS3/C12C2 ⊆ Aut C3xC6216(C3xC6).84(C4xS3)432,506
(C3xC6).85(C4xS3) = C3xS3xC3:C8φ: C4xS3/D6C2 ⊆ Aut C3xC6484(C3xC6).85(C4xS3)432,414
(C3xC6).86(C4xS3) = C3xD6.Dic3φ: C4xS3/D6C2 ⊆ Aut C3xC6484(C3xC6).86(C4xS3)432,416
(C3xC6).87(C4xS3) = C3xD6:Dic3φ: C4xS3/D6C2 ⊆ Aut C3xC648(C3xC6).87(C4xS3)432,426
(C3xC6).88(C4xS3) = C3xDic3:Dic3φ: C4xS3/D6C2 ⊆ Aut C3xC648(C3xC6).88(C4xS3)432,428
(C3xC6).89(C4xS3) = S3xC32:4C8φ: C4xS3/D6C2 ⊆ Aut C3xC6144(C3xC6).89(C4xS3)432,430
(C3xC6).90(C4xS3) = C33:7M4(2)φ: C4xS3/D6C2 ⊆ Aut C3xC6144(C3xC6).90(C4xS3)432,433
(C3xC6).91(C4xS3) = C62.77D6φ: C4xS3/D6C2 ⊆ Aut C3xC6144(C3xC6).91(C4xS3)432,449
(C3xC6).92(C4xS3) = C62.80D6φ: C4xS3/D6C2 ⊆ Aut C3xC6144(C3xC6).92(C4xS3)432,452
(C3xC6).93(C4xS3) = S3xC3xC24central extension (φ=1)144(C3xC6).93(C4xS3)432,464
(C3xC6).94(C4xS3) = C32xC8:S3central extension (φ=1)144(C3xC6).94(C4xS3)432,465
(C3xC6).95(C4xS3) = Dic3xC3xC12central extension (φ=1)144(C3xC6).95(C4xS3)432,471
(C3xC6).96(C4xS3) = C32xDic3:C4central extension (φ=1)144(C3xC6).96(C4xS3)432,472
(C3xC6).97(C4xS3) = C32xD6:C4central extension (φ=1)144(C3xC6).97(C4xS3)432,474

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