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Extensions 1→N→G→Q→1 with N=C2xC6 and Q=C3:D4

Direct product G=NxQ with N=C2xC6 and Q=C3:D4
dρLabelID
C2xC6xC3:D448C2xC6xC3:D4288,1002

Semidirect products G=N:Q with N=C2xC6 and Q=C3:D4
extensionφ:Q→Aut NdρLabelID
(C2xC6):1(C3:D4) = D6:S4φ: C3:D4/C2 → D6 ⊆ Aut C2xC6366(C2xC6):1(C3:D4)288,857
(C2xC6):2(C3:D4) = A4:D12φ: C3:D4/C2 → D6 ⊆ Aut C2xC6366+(C2xC6):2(C3:D4)288,858
(C2xC6):3(C3:D4) = C3xA4:D4φ: C3:D4/C22 → S3 ⊆ Aut C2xC6366(C2xC6):3(C3:D4)288,906
(C2xC6):4(C3:D4) = (C2xC6):4S4φ: C3:D4/C22 → S3 ⊆ Aut C2xC6366(C2xC6):4(C3:D4)288,917
(C2xC6):5(C3:D4) = C62:5D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC648(C2xC6):5(C3:D4)288,625
(C2xC6):6(C3:D4) = C62:7D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC648(C2xC6):6(C3:D4)288,628
(C2xC6):7(C3:D4) = C62:8D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC624(C2xC6):7(C3:D4)288,629
(C2xC6):8(C3:D4) = C62:13D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC672(C2xC6):8(C3:D4)288,794
(C2xC6):9(C3:D4) = C62:14D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC6144(C2xC6):9(C3:D4)288,796
(C2xC6):10(C3:D4) = C3xC23.14D6φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC648(C2xC6):10(C3:D4)288,710
(C2xC6):11(C3:D4) = C62:6D4φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC648(C2xC6):11(C3:D4)288,626
(C2xC6):12(C3:D4) = C22xC3:D12φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC648(C2xC6):12(C3:D4)288,974
(C2xC6):13(C3:D4) = C3xC23:2D6φ: C3:D4/D6 → C2 ⊆ Aut C2xC648(C2xC6):13(C3:D4)288,708
(C2xC6):14(C3:D4) = C62:4D4φ: C3:D4/D6 → C2 ⊆ Aut C2xC648(C2xC6):14(C3:D4)288,624
(C2xC6):15(C3:D4) = C22xD6:S3φ: C3:D4/D6 → C2 ⊆ Aut C2xC696(C2xC6):15(C3:D4)288,973
(C2xC6):16(C3:D4) = C3xC24:4S3φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC624(C2xC6):16(C3:D4)288,724
(C2xC6):17(C3:D4) = C62:24D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC672(C2xC6):17(C3:D4)288,810
(C2xC6):18(C3:D4) = C22xC32:7D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6):18(C3:D4)288,1017

Non-split extensions G=N.Q with N=C2xC6 and Q=C3:D4
extensionφ:Q→Aut NdρLabelID
(C2xC6).(C3:D4) = C23.D18φ: C3:D4/C22 → S3 ⊆ Aut C2xC6366(C2xC6).(C3:D4)288,342
(C2xC6).2(C3:D4) = C23:2Dic9φ: C3:D4/C6 → C22 ⊆ Aut C2xC6724(C2xC6).2(C3:D4)288,41
(C2xC6).3(C3:D4) = Q8:3Dic9φ: C3:D4/C6 → C22 ⊆ Aut C2xC6724(C2xC6).3(C3:D4)288,44
(C2xC6).4(C3:D4) = C23.23D18φ: C3:D4/C6 → C22 ⊆ Aut C2xC6144(C2xC6).4(C3:D4)288,145
(C2xC6).5(C3:D4) = C23:2D18φ: C3:D4/C6 → C22 ⊆ Aut C2xC672(C2xC6).5(C3:D4)288,147
(C2xC6).6(C3:D4) = Dic9:D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC6144(C2xC6).6(C3:D4)288,149
(C2xC6).7(C3:D4) = D4.D18φ: C3:D4/C6 → C22 ⊆ Aut C2xC61444-(C2xC6).7(C3:D4)288,159
(C2xC6).8(C3:D4) = D4:D18φ: C3:D4/C6 → C22 ⊆ Aut C2xC6724+(C2xC6).8(C3:D4)288,160
(C2xC6).9(C3:D4) = D4.9D18φ: C3:D4/C6 → C22 ⊆ Aut C2xC61444(C2xC6).9(C3:D4)288,161
(C2xC6).10(C3:D4) = D12:4Dic3φ: C3:D4/C6 → C22 ⊆ Aut C2xC6244(C2xC6).10(C3:D4)288,216
(C2xC6).11(C3:D4) = C12.80D12φ: C3:D4/C6 → C22 ⊆ Aut C2xC6484(C2xC6).11(C3:D4)288,218
(C2xC6).12(C3:D4) = C62.31D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC6244(C2xC6).12(C3:D4)288,228
(C2xC6).13(C3:D4) = C62.32D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC6244(C2xC6).13(C3:D4)288,229
(C2xC6).14(C3:D4) = C62.38D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC672(C2xC6).14(C3:D4)288,309
(C2xC6).15(C3:D4) = C62.39D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC672(C2xC6).15(C3:D4)288,312
(C2xC6).16(C3:D4) = D12.30D6φ: C3:D4/C6 → C22 ⊆ Aut C2xC6484(C2xC6).16(C3:D4)288,470
(C2xC6).17(C3:D4) = D12:18D6φ: C3:D4/C6 → C22 ⊆ Aut C2xC6244+(C2xC6).17(C3:D4)288,473
(C2xC6).18(C3:D4) = D12.32D6φ: C3:D4/C6 → C22 ⊆ Aut C2xC6484(C2xC6).18(C3:D4)288,475
(C2xC6).19(C3:D4) = D12.28D6φ: C3:D4/C6 → C22 ⊆ Aut C2xC6484(C2xC6).19(C3:D4)288,478
(C2xC6).20(C3:D4) = D12.29D6φ: C3:D4/C6 → C22 ⊆ Aut C2xC6484-(C2xC6).20(C3:D4)288,479
(C2xC6).21(C3:D4) = Dic6.29D6φ: C3:D4/C6 → C22 ⊆ Aut C2xC6484(C2xC6).21(C3:D4)288,481
(C2xC6).22(C3:D4) = C62.56D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC648(C2xC6).22(C3:D4)288,609
(C2xC6).23(C3:D4) = C62.57D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC648(C2xC6).23(C3:D4)288,610
(C2xC6).24(C3:D4) = C62.60D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC648(C2xC6).24(C3:D4)288,614
(C2xC6).25(C3:D4) = C62.72D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC6144(C2xC6).25(C3:D4)288,792
(C2xC6).26(C3:D4) = C62.73D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC672(C2xC6).26(C3:D4)288,806
(C2xC6).27(C3:D4) = C62.74D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC6144(C2xC6).27(C3:D4)288,807
(C2xC6).28(C3:D4) = C62.75D4φ: C3:D4/C6 → C22 ⊆ Aut C2xC6144(C2xC6).28(C3:D4)288,808
(C2xC6).29(C3:D4) = C3xQ8.13D6φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC6484(C2xC6).29(C3:D4)288,721
(C2xC6).30(C3:D4) = C6.16D24φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC696(C2xC6).30(C3:D4)288,211
(C2xC6).31(C3:D4) = C6.17D24φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC648(C2xC6).31(C3:D4)288,212
(C2xC6).32(C3:D4) = C6.Dic12φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC696(C2xC6).32(C3:D4)288,214
(C2xC6).33(C3:D4) = C12.73D12φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC696(C2xC6).33(C3:D4)288,215
(C2xC6).34(C3:D4) = C12.Dic6φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC696(C2xC6).34(C3:D4)288,221
(C2xC6).35(C3:D4) = C6.18D24φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC696(C2xC6).35(C3:D4)288,223
(C2xC6).36(C3:D4) = C2xC3:D24φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC648(C2xC6).36(C3:D4)288,472
(C2xC6).37(C3:D4) = C2xD12.S3φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC696(C2xC6).37(C3:D4)288,476
(C2xC6).38(C3:D4) = D12.27D6φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC6484(C2xC6).38(C3:D4)288,477
(C2xC6).39(C3:D4) = C2xC32:5SD16φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC648(C2xC6).39(C3:D4)288,480
(C2xC6).40(C3:D4) = C2xC32:3Q16φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC696(C2xC6).40(C3:D4)288,483
(C2xC6).41(C3:D4) = C2xC6.D12φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC648(C2xC6).41(C3:D4)288,611
(C2xC6).42(C3:D4) = C2xDic3:Dic3φ: C3:D4/Dic3 → C2 ⊆ Aut C2xC696(C2xC6).42(C3:D4)288,613
(C2xC6).43(C3:D4) = C3xC23.7D6φ: C3:D4/D6 → C2 ⊆ Aut C2xC6244(C2xC6).43(C3:D4)288,268
(C2xC6).44(C3:D4) = C3xQ8:3Dic3φ: C3:D4/D6 → C2 ⊆ Aut C2xC6484(C2xC6).44(C3:D4)288,271
(C2xC6).45(C3:D4) = C3xC23.23D6φ: C3:D4/D6 → C2 ⊆ Aut C2xC648(C2xC6).45(C3:D4)288,706
(C2xC6).46(C3:D4) = C3xD4:D6φ: C3:D4/D6 → C2 ⊆ Aut C2xC6484(C2xC6).46(C3:D4)288,720
(C2xC6).47(C3:D4) = C3xQ8.14D6φ: C3:D4/D6 → C2 ⊆ Aut C2xC6484(C2xC6).47(C3:D4)288,722
(C2xC6).48(C3:D4) = D12:3Dic3φ: C3:D4/D6 → C2 ⊆ Aut C2xC696(C2xC6).48(C3:D4)288,210
(C2xC6).49(C3:D4) = Dic6:Dic3φ: C3:D4/D6 → C2 ⊆ Aut C2xC696(C2xC6).49(C3:D4)288,213
(C2xC6).50(C3:D4) = D12:2Dic3φ: C3:D4/D6 → C2 ⊆ Aut C2xC6484(C2xC6).50(C3:D4)288,217
(C2xC6).51(C3:D4) = C12.6Dic6φ: C3:D4/D6 → C2 ⊆ Aut C2xC696(C2xC6).51(C3:D4)288,222
(C2xC6).52(C3:D4) = C12.8Dic6φ: C3:D4/D6 → C2 ⊆ Aut C2xC696(C2xC6).52(C3:D4)288,224
(C2xC6).53(C3:D4) = C62.6Q8φ: C3:D4/D6 → C2 ⊆ Aut C2xC696(C2xC6).53(C3:D4)288,227
(C2xC6).54(C3:D4) = C2xC32:2D8φ: C3:D4/D6 → C2 ⊆ Aut C2xC696(C2xC6).54(C3:D4)288,469
(C2xC6).55(C3:D4) = D12:20D6φ: C3:D4/D6 → C2 ⊆ Aut C2xC6484(C2xC6).55(C3:D4)288,471
(C2xC6).56(C3:D4) = C2xDic6:S3φ: C3:D4/D6 → C2 ⊆ Aut C2xC696(C2xC6).56(C3:D4)288,474
(C2xC6).57(C3:D4) = C2xC32:2Q16φ: C3:D4/D6 → C2 ⊆ Aut C2xC696(C2xC6).57(C3:D4)288,482
(C2xC6).58(C3:D4) = C2xD6:Dic3φ: C3:D4/D6 → C2 ⊆ Aut C2xC696(C2xC6).58(C3:D4)288,608
(C2xC6).59(C3:D4) = C2xC62.C22φ: C3:D4/D6 → C2 ⊆ Aut C2xC696(C2xC6).59(C3:D4)288,615
(C2xC6).60(C3:D4) = C3xC42:4S3φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6242(C2xC6).60(C3:D4)288,239
(C2xC6).61(C3:D4) = C3xC23.6D6φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6244(C2xC6).61(C3:D4)288,240
(C2xC6).62(C3:D4) = C3xC23.28D6φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC648(C2xC6).62(C3:D4)288,700
(C2xC6).63(C3:D4) = C3xD12:6C22φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6244(C2xC6).63(C3:D4)288,703
(C2xC6).64(C3:D4) = C3xQ8.11D6φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6484(C2xC6).64(C3:D4)288,713
(C2xC6).65(C3:D4) = C42:4D9φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6722(C2xC6).65(C3:D4)288,12
(C2xC6).66(C3:D4) = C22.D36φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6724(C2xC6).66(C3:D4)288,13
(C2xC6).67(C3:D4) = C36.Q8φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6288(C2xC6).67(C3:D4)288,14
(C2xC6).68(C3:D4) = C4.Dic18φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6288(C2xC6).68(C3:D4)288,15
(C2xC6).69(C3:D4) = C18.Q16φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6288(C2xC6).69(C3:D4)288,16
(C2xC6).70(C3:D4) = C18.D8φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).70(C3:D4)288,17
(C2xC6).71(C3:D4) = C18.C42φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6288(C2xC6).71(C3:D4)288,38
(C2xC6).72(C3:D4) = D4:Dic9φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).72(C3:D4)288,40
(C2xC6).73(C3:D4) = Q8:2Dic9φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6288(C2xC6).73(C3:D4)288,43
(C2xC6).74(C3:D4) = C2xDic9:C4φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6288(C2xC6).74(C3:D4)288,133
(C2xC6).75(C3:D4) = C2xD18:C4φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).75(C3:D4)288,137
(C2xC6).76(C3:D4) = C23.28D18φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).76(C3:D4)288,139
(C2xC6).77(C3:D4) = C2xD4.D9φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).77(C3:D4)288,141
(C2xC6).78(C3:D4) = C2xD4:D9φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).78(C3:D4)288,142
(C2xC6).79(C3:D4) = D36:6C22φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6724(C2xC6).79(C3:D4)288,143
(C2xC6).80(C3:D4) = C2xC9:Q16φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6288(C2xC6).80(C3:D4)288,151
(C2xC6).81(C3:D4) = C2xQ8:2D9φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).81(C3:D4)288,152
(C2xC6).82(C3:D4) = C36.C23φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC61444(C2xC6).82(C3:D4)288,153
(C2xC6).83(C3:D4) = C2xC18.D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).83(C3:D4)288,162
(C2xC6).84(C3:D4) = C24:4D9φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC672(C2xC6).84(C3:D4)288,163
(C2xC6).85(C3:D4) = C122:C2φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC672(C2xC6).85(C3:D4)288,280
(C2xC6).86(C3:D4) = C62.110D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC672(C2xC6).86(C3:D4)288,281
(C2xC6).87(C3:D4) = C12.9Dic6φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6288(C2xC6).87(C3:D4)288,282
(C2xC6).88(C3:D4) = C12.10Dic6φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6288(C2xC6).88(C3:D4)288,283
(C2xC6).89(C3:D4) = C62.113D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).89(C3:D4)288,284
(C2xC6).90(C3:D4) = C62.114D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6288(C2xC6).90(C3:D4)288,285
(C2xC6).91(C3:D4) = C62.15Q8φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6288(C2xC6).91(C3:D4)288,306
(C2xC6).92(C3:D4) = C62.116D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).92(C3:D4)288,307
(C2xC6).93(C3:D4) = C62.117D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6288(C2xC6).93(C3:D4)288,310
(C2xC6).94(C3:D4) = C22xC9:D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).94(C3:D4)288,366
(C2xC6).95(C3:D4) = C2xC6.Dic6φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6288(C2xC6).95(C3:D4)288,780
(C2xC6).96(C3:D4) = C2xC6.11D12φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).96(C3:D4)288,784
(C2xC6).97(C3:D4) = C62.129D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).97(C3:D4)288,786
(C2xC6).98(C3:D4) = C2xC32:7D8φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).98(C3:D4)288,788
(C2xC6).99(C3:D4) = C62.131D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC672(C2xC6).99(C3:D4)288,789
(C2xC6).100(C3:D4) = C2xC32:9SD16φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).100(C3:D4)288,790
(C2xC6).101(C3:D4) = C2xC32:11SD16φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).101(C3:D4)288,798
(C2xC6).102(C3:D4) = C62.134D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).102(C3:D4)288,799
(C2xC6).103(C3:D4) = C2xC32:7Q16φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6288(C2xC6).103(C3:D4)288,800
(C2xC6).104(C3:D4) = C2xC62:5C4φ: C3:D4/C2xC6 → C2 ⊆ Aut C2xC6144(C2xC6).104(C3:D4)288,809
(C2xC6).105(C3:D4) = C3xC6.Q16central extension (φ=1)96(C2xC6).105(C3:D4)288,241
(C2xC6).106(C3:D4) = C3xC12.Q8central extension (φ=1)96(C2xC6).106(C3:D4)288,242
(C2xC6).107(C3:D4) = C3xC6.D8central extension (φ=1)96(C2xC6).107(C3:D4)288,243
(C2xC6).108(C3:D4) = C3xC6.SD16central extension (φ=1)96(C2xC6).108(C3:D4)288,244
(C2xC6).109(C3:D4) = C3xC6.C42central extension (φ=1)96(C2xC6).109(C3:D4)288,265
(C2xC6).110(C3:D4) = C3xD4:Dic3central extension (φ=1)48(C2xC6).110(C3:D4)288,266
(C2xC6).111(C3:D4) = C3xQ8:2Dic3central extension (φ=1)96(C2xC6).111(C3:D4)288,269
(C2xC6).112(C3:D4) = C6xDic3:C4central extension (φ=1)96(C2xC6).112(C3:D4)288,694
(C2xC6).113(C3:D4) = C6xD6:C4central extension (φ=1)96(C2xC6).113(C3:D4)288,698
(C2xC6).114(C3:D4) = C6xD4:S3central extension (φ=1)48(C2xC6).114(C3:D4)288,702
(C2xC6).115(C3:D4) = C6xD4.S3central extension (φ=1)48(C2xC6).115(C3:D4)288,704
(C2xC6).116(C3:D4) = C6xQ8:2S3central extension (φ=1)96(C2xC6).116(C3:D4)288,712
(C2xC6).117(C3:D4) = C6xC3:Q16central extension (φ=1)96(C2xC6).117(C3:D4)288,714
(C2xC6).118(C3:D4) = C6xC6.D4central extension (φ=1)48(C2xC6).118(C3:D4)288,723

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