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Extensions 1→N→G→Q→1 with N=C20 and Q=C22×S3

Direct product G=N×Q with N=C20 and Q=C22×S3
dρLabelID
S3×C22×C20240S3xC2^2xC20480,1151

Semidirect products G=N:Q with N=C20 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
C20⋊1(C22×S3) = S3×D4×D5φ: C22×S3/S3 → C22 ⊆ Aut C20608+C20:1(C2^2xS3)480,1097
C20⋊2(C22×S3) = C2×D5×D12φ: C22×S3/C6 → C22 ⊆ Aut C20120C20:2(C2^2xS3)480,1087
C20⋊3(C22×S3) = C2×C20⋊D6φ: C22×S3/C6 → C22 ⊆ Aut C20120C20:3(C2^2xS3)480,1089
C20⋊4(C22×S3) = C2×D4×D15φ: C22×S3/C6 → C22 ⊆ Aut C20120C20:4(C2^2xS3)480,1169
C20⋊5(C22×S3) = C2×S3×D20φ: C22×S3/D6 → C2 ⊆ Aut C20120C20:5(C2^2xS3)480,1088
C20⋊6(C22×S3) = S3×C2×C4×D5φ: C22×S3/D6 → C2 ⊆ Aut C20120C20:6(C2^2xS3)480,1086
C20⋊7(C22×S3) = S3×D4×C10φ: C22×S3/D6 → C2 ⊆ Aut C20120C20:7(C2^2xS3)480,1154
C20⋊8(C22×S3) = C22×D60φ: C22×S3/C2×C6 → C2 ⊆ Aut C20240C20:8(C2^2xS3)480,1167
C20⋊9(C22×S3) = C22×C4×D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C20240C20:9(C2^2xS3)480,1166
C20⋊10(C22×S3) = C2×C10×D12φ: C22×S3/C2×C6 → C2 ⊆ Aut C20240C20:10(C2^2xS3)480,1152

Non-split extensions G=N.Q with N=C20 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
C20.1(C22×S3) = D5×D4⋊S3φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.1(C2^2xS3)480,553
C20.2(C22×S3) = Dic10⋊3D6φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.2(C2^2xS3)480,554
C20.3(C22×S3) = S3×D4⋊D5φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.3(C2^2xS3)480,555
C20.4(C22×S3) = D60.C22φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.4(C2^2xS3)480,556
C20.5(C22×S3) = D15⋊D8φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.5(C2^2xS3)480,557
C20.6(C22×S3) = D30.8D4φ: C22×S3/S3 → C22 ⊆ Aut C201208-C20.6(C2^2xS3)480,558
C20.7(C22×S3) = D5×D4.S3φ: C22×S3/S3 → C22 ⊆ Aut C201208-C20.7(C2^2xS3)480,559
C20.8(C22×S3) = C60.8C23φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.8(C2^2xS3)480,560
C20.9(C22×S3) = S3×D4.D5φ: C22×S3/S3 → C22 ⊆ Aut C201208-C20.9(C2^2xS3)480,561
C20.10(C22×S3) = C60.10C23φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.10(C2^2xS3)480,562
C20.11(C22×S3) = Dic10⋊D6φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.11(C2^2xS3)480,563
C20.12(C22×S3) = D30.9D4φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.12(C2^2xS3)480,564
C20.13(C22×S3) = D12⋊10D10φ: C22×S3/S3 → C22 ⊆ Aut C201208-C20.13(C2^2xS3)480,565
C20.14(C22×S3) = D12.24D10φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.14(C2^2xS3)480,566
C20.15(C22×S3) = D20.9D6φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.15(C2^2xS3)480,567
C20.16(C22×S3) = C60.16C23φ: C22×S3/S3 → C22 ⊆ Aut C202408+C20.16(C2^2xS3)480,568
C20.17(C22×S3) = D20.24D6φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.17(C2^2xS3)480,569
C20.18(C22×S3) = D20⋊10D6φ: C22×S3/S3 → C22 ⊆ Aut C201208-C20.18(C2^2xS3)480,570
C20.19(C22×S3) = C60.19C23φ: C22×S3/S3 → C22 ⊆ Aut C202408+C20.19(C2^2xS3)480,571
C20.20(C22×S3) = D12.9D10φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.20(C2^2xS3)480,572
C20.21(C22×S3) = D20.10D6φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.21(C2^2xS3)480,573
C20.22(C22×S3) = Dic6⋊D10φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.22(C2^2xS3)480,574
C20.23(C22×S3) = D30.11D4φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.23(C2^2xS3)480,575
C20.24(C22×S3) = D12⋊5D10φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.24(C2^2xS3)480,576
C20.25(C22×S3) = D5×Q8⋊2S3φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.25(C2^2xS3)480,577
C20.26(C22×S3) = D20⋊D6φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.26(C2^2xS3)480,578
C20.27(C22×S3) = S3×Q8⋊D5φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.27(C2^2xS3)480,579
C20.28(C22×S3) = D12⋊D10φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.28(C2^2xS3)480,580
C20.29(C22×S3) = D15⋊SD16φ: C22×S3/S3 → C22 ⊆ Aut C201208-C20.29(C2^2xS3)480,581
C20.30(C22×S3) = D60⋊C22φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.30(C2^2xS3)480,582
C20.31(C22×S3) = D5×C3⋊Q16φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.31(C2^2xS3)480,583
C20.32(C22×S3) = D20.13D6φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.32(C2^2xS3)480,584
C20.33(C22×S3) = S3×C5⋊Q16φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.33(C2^2xS3)480,585
C20.34(C22×S3) = Dic10.26D6φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.34(C2^2xS3)480,586
C20.35(C22×S3) = D15⋊Q16φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.35(C2^2xS3)480,587
C20.36(C22×S3) = C60.C23φ: C22×S3/S3 → C22 ⊆ Aut C202408+C20.36(C2^2xS3)480,588
C20.37(C22×S3) = D12.27D10φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.37(C2^2xS3)480,589
C20.38(C22×S3) = D20.14D6φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.38(C2^2xS3)480,590
C20.39(C22×S3) = C60.39C23φ: C22×S3/S3 → C22 ⊆ Aut C202408+C20.39(C2^2xS3)480,591
C20.40(C22×S3) = D20.D6φ: C22×S3/S3 → C22 ⊆ Aut C202408+C20.40(C2^2xS3)480,592
C20.41(C22×S3) = D20.27D6φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.41(C2^2xS3)480,593
C20.42(C22×S3) = D20.28D6φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.42(C2^2xS3)480,594
C20.43(C22×S3) = Dic10.27D6φ: C22×S3/S3 → C22 ⊆ Aut C202408+C20.43(C2^2xS3)480,595
C20.44(C22×S3) = C60.44C23φ: C22×S3/S3 → C22 ⊆ Aut C202408+C20.44(C2^2xS3)480,596
C20.45(C22×S3) = D20.16D6φ: C22×S3/S3 → C22 ⊆ Aut C202408+C20.45(C2^2xS3)480,597
C20.46(C22×S3) = D20.17D6φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.46(C2^2xS3)480,598
C20.47(C22×S3) = D12.D10φ: C22×S3/S3 → C22 ⊆ Aut C202408+C20.47(C2^2xS3)480,599
C20.48(C22×S3) = D30.44D4φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.48(C2^2xS3)480,600
C20.49(C22×S3) = C15⋊2- 1+4φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.49(C2^2xS3)480,1096
C20.50(C22×S3) = D5×D4⋊2S3φ: C22×S3/S3 → C22 ⊆ Aut C201208-C20.50(C2^2xS3)480,1098
C20.51(C22×S3) = S3×D4⋊2D5φ: C22×S3/S3 → C22 ⊆ Aut C201208-C20.51(C2^2xS3)480,1099
C20.52(C22×S3) = D30.C23φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.52(C2^2xS3)480,1100
C20.53(C22×S3) = D20⋊13D6φ: C22×S3/S3 → C22 ⊆ Aut C201208-C20.53(C2^2xS3)480,1101
C20.54(C22×S3) = D20⋊14D6φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.54(C2^2xS3)480,1102
C20.55(C22×S3) = D12⋊14D10φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.55(C2^2xS3)480,1103
C20.56(C22×S3) = D20.29D6φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.56(C2^2xS3)480,1104
C20.57(C22×S3) = C30.33C24φ: C22×S3/S3 → C22 ⊆ Aut C202408+C20.57(C2^2xS3)480,1105
C20.58(C22×S3) = D12.29D10φ: C22×S3/S3 → C22 ⊆ Aut C202408-C20.58(C2^2xS3)480,1106
C20.59(C22×S3) = S3×Q8×D5φ: C22×S3/S3 → C22 ⊆ Aut C201208-C20.59(C2^2xS3)480,1107
C20.60(C22×S3) = D5×Q8⋊3S3φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.60(C2^2xS3)480,1108
C20.61(C22×S3) = S3×Q8⋊2D5φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.61(C2^2xS3)480,1109
C20.62(C22×S3) = D20⋊16D6φ: C22×S3/S3 → C22 ⊆ Aut C201208-C20.62(C2^2xS3)480,1110
C20.63(C22×S3) = D20⋊17D6φ: C22×S3/S3 → C22 ⊆ Aut C201208+C20.63(C2^2xS3)480,1111
C20.64(C22×S3) = D5×C24⋊C2φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.64(C2^2xS3)480,323
C20.65(C22×S3) = D5×D24φ: C22×S3/C6 → C22 ⊆ Aut C201204+C20.65(C2^2xS3)480,324
C20.66(C22×S3) = C24⋊D10φ: C22×S3/C6 → C22 ⊆ Aut C201204+C20.66(C2^2xS3)480,325
C20.67(C22×S3) = D24⋊D5φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.67(C2^2xS3)480,326
C20.68(C22×S3) = C40⋊14D6φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.68(C2^2xS3)480,331
C20.69(C22×S3) = C40⋊5D6φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.69(C2^2xS3)480,332
C20.70(C22×S3) = D24⋊6D5φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.70(C2^2xS3)480,333
C20.71(C22×S3) = C40⋊8D6φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.71(C2^2xS3)480,334
C20.72(C22×S3) = D5×Dic12φ: C22×S3/C6 → C22 ⊆ Aut C202404-C20.72(C2^2xS3)480,335
C20.73(C22×S3) = Dic60⋊C2φ: C22×S3/C6 → C22 ⊆ Aut C202404-C20.73(C2^2xS3)480,336
C20.74(C22×S3) = C24.2D10φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.74(C2^2xS3)480,337
C20.75(C22×S3) = Dic10.D6φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.75(C2^2xS3)480,340
C20.76(C22×S3) = C40.31D6φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.76(C2^2xS3)480,345
C20.77(C22×S3) = D24⋊7D5φ: C22×S3/C6 → C22 ⊆ Aut C202404-C20.77(C2^2xS3)480,346
C20.78(C22×S3) = D120⋊C2φ: C22×S3/C6 → C22 ⊆ Aut C202404+C20.78(C2^2xS3)480,347
C20.79(C22×S3) = Dic6.D10φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.79(C2^2xS3)480,352
C20.80(C22×S3) = D40⋊5S3φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.80(C2^2xS3)480,353
C20.81(C22×S3) = D30.3D4φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.81(C2^2xS3)480,354
C20.82(C22×S3) = D24⋊5D5φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.82(C2^2xS3)480,355
C20.83(C22×S3) = D30.4D4φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.83(C2^2xS3)480,356
C20.84(C22×S3) = C2×C15⋊D8φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.84(C2^2xS3)480,372
C20.85(C22×S3) = D20.34D6φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.85(C2^2xS3)480,373
C20.86(C22×S3) = C60.36D4φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.86(C2^2xS3)480,374
C20.87(C22×S3) = D20⋊21D6φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.87(C2^2xS3)480,375
C20.88(C22×S3) = C2×C5⋊D24φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.88(C2^2xS3)480,378
C20.89(C22×S3) = C20.60D12φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.89(C2^2xS3)480,379
C20.90(C22×S3) = D60⋊36C22φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.90(C2^2xS3)480,380
C20.91(C22×S3) = C60.38D4φ: C22×S3/C6 → C22 ⊆ Aut C201204+C20.91(C2^2xS3)480,381
C20.92(C22×S3) = C2×C30.D4φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.92(C2^2xS3)480,382
C20.93(C22×S3) = D20.37D6φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.93(C2^2xS3)480,383
C20.94(C22×S3) = C2×C20.D6φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.94(C2^2xS3)480,384
C20.95(C22×S3) = D12.37D10φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.95(C2^2xS3)480,385
C20.96(C22×S3) = C2×D12.D5φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.96(C2^2xS3)480,392
C20.97(C22×S3) = C2×Dic6⋊D5φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.97(C2^2xS3)480,393
C20.98(C22×S3) = C2×C15⋊Q16φ: C22×S3/C6 → C22 ⊆ Aut C20480C20.98(C2^2xS3)480,394
C20.99(C22×S3) = C2×C5⋊Dic12φ: C22×S3/C6 → C22 ⊆ Aut C20480C20.99(C2^2xS3)480,396
C20.100(C22×S3) = C20.D12φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.100(C2^2xS3)480,397
C20.101(C22×S3) = D12.33D10φ: C22×S3/C6 → C22 ⊆ Aut C202404-C20.101(C2^2xS3)480,398
C20.102(C22×S3) = D8×D15φ: C22×S3/C6 → C22 ⊆ Aut C201204+C20.102(C2^2xS3)480,875
C20.103(C22×S3) = D8⋊D15φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.103(C2^2xS3)480,876
C20.104(C22×S3) = D8⋊3D15φ: C22×S3/C6 → C22 ⊆ Aut C202404-C20.104(C2^2xS3)480,877
C20.105(C22×S3) = SD16×D15φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.105(C2^2xS3)480,878
C20.106(C22×S3) = Q8⋊3D30φ: C22×S3/C6 → C22 ⊆ Aut C201204+C20.106(C2^2xS3)480,879
C20.107(C22×S3) = SD16⋊D15φ: C22×S3/C6 → C22 ⊆ Aut C202404-C20.107(C2^2xS3)480,880
C20.108(C22×S3) = D4.5D30φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.108(C2^2xS3)480,881
C20.109(C22×S3) = Q16×D15φ: C22×S3/C6 → C22 ⊆ Aut C202404-C20.109(C2^2xS3)480,882
C20.110(C22×S3) = Q16⋊D15φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.110(C2^2xS3)480,883
C20.111(C22×S3) = D120⋊8C2φ: C22×S3/C6 → C22 ⊆ Aut C202404+C20.111(C2^2xS3)480,884
C20.112(C22×S3) = C2×D4⋊D15φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.112(C2^2xS3)480,896
C20.113(C22×S3) = D4.D30φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.113(C2^2xS3)480,897
C20.114(C22×S3) = C2×D4.D15φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.114(C2^2xS3)480,898
C20.115(C22×S3) = C2×Q8⋊2D15φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.115(C2^2xS3)480,906
C20.116(C22×S3) = Q8.11D30φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.116(C2^2xS3)480,907
C20.117(C22×S3) = C2×C15⋊7Q16φ: C22×S3/C6 → C22 ⊆ Aut C20480C20.117(C2^2xS3)480,908
C20.118(C22×S3) = D4⋊D30φ: C22×S3/C6 → C22 ⊆ Aut C201204+C20.118(C2^2xS3)480,914
C20.119(C22×S3) = D4.8D30φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.119(C2^2xS3)480,915
C20.120(C22×S3) = D4.9D30φ: C22×S3/C6 → C22 ⊆ Aut C202404-C20.120(C2^2xS3)480,916
C20.121(C22×S3) = C2×D5×Dic6φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.121(C2^2xS3)480,1073
C20.122(C22×S3) = C2×D20⋊S3φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.122(C2^2xS3)480,1075
C20.123(C22×S3) = D20.38D6φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.123(C2^2xS3)480,1076
C20.124(C22×S3) = D20.39D6φ: C22×S3/C6 → C22 ⊆ Aut C202404-C20.124(C2^2xS3)480,1077
C20.125(C22×S3) = C2×D12⋊D5φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.125(C2^2xS3)480,1079
C20.126(C22×S3) = C30.C24φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.126(C2^2xS3)480,1080
C20.127(C22×S3) = C2×D15⋊Q8φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.127(C2^2xS3)480,1082
C20.128(C22×S3) = C2×D12⋊5D5φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.128(C2^2xS3)480,1084
C20.129(C22×S3) = C2×C12.28D10φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.129(C2^2xS3)480,1085
C20.130(C22×S3) = D20⋊25D6φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.130(C2^2xS3)480,1093
C20.131(C22×S3) = D20⋊26D6φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.131(C2^2xS3)480,1094
C20.132(C22×S3) = D20⋊29D6φ: C22×S3/C6 → C22 ⊆ Aut C201204+C20.132(C2^2xS3)480,1095
C20.133(C22×S3) = C2×D4⋊2D15φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.133(C2^2xS3)480,1170
C20.134(C22×S3) = D4⋊6D30φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.134(C2^2xS3)480,1171
C20.135(C22×S3) = C2×Q8×D15φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.135(C2^2xS3)480,1172
C20.136(C22×S3) = C2×Q8⋊3D15φ: C22×S3/C6 → C22 ⊆ Aut C20240C20.136(C2^2xS3)480,1173
C20.137(C22×S3) = Q8.15D30φ: C22×S3/C6 → C22 ⊆ Aut C202404C20.137(C2^2xS3)480,1174
C20.138(C22×S3) = C4○D4×D15φ: C22×S3/C6 → C22 ⊆ Aut C201204C20.138(C2^2xS3)480,1175
C20.139(C22×S3) = D4⋊8D30φ: C22×S3/C6 → C22 ⊆ Aut C201204+C20.139(C2^2xS3)480,1176
C20.140(C22×S3) = D4.10D30φ: C22×S3/C6 → C22 ⊆ Aut C202404-C20.140(C2^2xS3)480,1177
C20.141(C22×S3) = S3×C40⋊C2φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.141(C2^2xS3)480,327
C20.142(C22×S3) = S3×D40φ: C22×S3/D6 → C2 ⊆ Aut C201204+C20.142(C2^2xS3)480,328
C20.143(C22×S3) = C40⋊1D6φ: C22×S3/D6 → C2 ⊆ Aut C201204+C20.143(C2^2xS3)480,329
C20.144(C22×S3) = D40⋊S3φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.144(C2^2xS3)480,330
C20.145(C22×S3) = S3×Dic20φ: C22×S3/D6 → C2 ⊆ Aut C202404-C20.145(C2^2xS3)480,338
C20.146(C22×S3) = Dic20⋊S3φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.146(C2^2xS3)480,339
C20.147(C22×S3) = D6.1D20φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.147(C2^2xS3)480,348
C20.148(C22×S3) = D40⋊7S3φ: C22×S3/D6 → C2 ⊆ Aut C202404-C20.148(C2^2xS3)480,349
C20.149(C22×S3) = C40.2D6φ: C22×S3/D6 → C2 ⊆ Aut C202404-C20.149(C2^2xS3)480,350
C20.150(C22×S3) = D120⋊5C2φ: C22×S3/D6 → C2 ⊆ Aut C202404+C20.150(C2^2xS3)480,351
C20.151(C22×S3) = C2×C3⋊D40φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.151(C2^2xS3)480,376
C20.152(C22×S3) = D20⋊19D6φ: C22×S3/D6 → C2 ⊆ Aut C201204+C20.152(C2^2xS3)480,377
C20.153(C22×S3) = C2×C6.D20φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.153(C2^2xS3)480,386
C20.154(C22×S3) = D20.31D6φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.154(C2^2xS3)480,387
C20.155(C22×S3) = D60⋊30C22φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.155(C2^2xS3)480,388
C20.156(C22×S3) = C60.63D4φ: C22×S3/D6 → C2 ⊆ Aut C202404-C20.156(C2^2xS3)480,389
C20.157(C22×S3) = C2×C15⋊SD16φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.157(C2^2xS3)480,390
C20.158(C22×S3) = C12.D20φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.158(C2^2xS3)480,391
C20.159(C22×S3) = C2×C3⋊Dic20φ: C22×S3/D6 → C2 ⊆ Aut C20480C20.159(C2^2xS3)480,395
C20.160(C22×S3) = C2×D20⋊5S3φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.160(C2^2xS3)480,1074
C20.161(C22×S3) = C2×S3×Dic10φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.161(C2^2xS3)480,1078
C20.162(C22×S3) = C2×D60⋊C2φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.162(C2^2xS3)480,1081
C20.163(C22×S3) = S3×C8×D5φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.163(C2^2xS3)480,319
C20.164(C22×S3) = D5×C8⋊S3φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.164(C2^2xS3)480,320
C20.165(C22×S3) = S3×C8⋊D5φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.165(C2^2xS3)480,321
C20.166(C22×S3) = C40⋊D6φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.166(C2^2xS3)480,322
C20.167(C22×S3) = C40.54D6φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.167(C2^2xS3)480,341
C20.168(C22×S3) = C40.34D6φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.168(C2^2xS3)480,342
C20.169(C22×S3) = C40.55D6φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.169(C2^2xS3)480,343
C20.170(C22×S3) = C40.35D6φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.170(C2^2xS3)480,344
C20.171(C22×S3) = C2×D5×C3⋊C8φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.171(C2^2xS3)480,357
C20.172(C22×S3) = D5×C4.Dic3φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.172(C2^2xS3)480,358
C20.173(C22×S3) = D20.3Dic3φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.173(C2^2xS3)480,359
C20.174(C22×S3) = D20.2Dic3φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.174(C2^2xS3)480,360
C20.175(C22×S3) = C2×S3×C5⋊2C8φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.175(C2^2xS3)480,361
C20.176(C22×S3) = D12.2Dic5φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.176(C2^2xS3)480,362
C20.177(C22×S3) = S3×C4.Dic5φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.177(C2^2xS3)480,363
C20.178(C22×S3) = D12.Dic5φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.178(C2^2xS3)480,364
C20.179(C22×S3) = C2×D15⋊2C8φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.179(C2^2xS3)480,365
C20.180(C22×S3) = D60.5C4φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.180(C2^2xS3)480,366
C20.181(C22×S3) = D60.4C4φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.181(C2^2xS3)480,367
C20.182(C22×S3) = D15⋊4M4(2)φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.182(C2^2xS3)480,368
C20.183(C22×S3) = C2×C20.32D6φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.183(C2^2xS3)480,369
C20.184(C22×S3) = C2×D6.Dic5φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.184(C2^2xS3)480,370
C20.185(C22×S3) = C2×D30.5C4φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.185(C2^2xS3)480,371
C20.186(C22×S3) = C2×D6.D10φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.186(C2^2xS3)480,1083
C20.187(C22×S3) = D5×C4○D12φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.187(C2^2xS3)480,1090
C20.188(C22×S3) = S3×C4○D20φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.188(C2^2xS3)480,1091
C20.189(C22×S3) = D20⋊24D6φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.189(C2^2xS3)480,1092
C20.190(C22×S3) = C5×S3×D8φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.190(C2^2xS3)480,789
C20.191(C22×S3) = C5×D8⋊S3φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.191(C2^2xS3)480,790
C20.192(C22×S3) = C5×D8⋊3S3φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.192(C2^2xS3)480,791
C20.193(C22×S3) = C5×S3×SD16φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.193(C2^2xS3)480,792
C20.194(C22×S3) = C5×Q8⋊3D6φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.194(C2^2xS3)480,793
C20.195(C22×S3) = C5×D4.D6φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.195(C2^2xS3)480,794
C20.196(C22×S3) = C5×Q8.7D6φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.196(C2^2xS3)480,795
C20.197(C22×S3) = C5×S3×Q16φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.197(C2^2xS3)480,796
C20.198(C22×S3) = C5×Q16⋊S3φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.198(C2^2xS3)480,797
C20.199(C22×S3) = C5×D24⋊C2φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.199(C2^2xS3)480,798
C20.200(C22×S3) = C10×D4⋊S3φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.200(C2^2xS3)480,810
C20.201(C22×S3) = C5×D12⋊6C22φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.201(C2^2xS3)480,811
C20.202(C22×S3) = C10×D4.S3φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.202(C2^2xS3)480,812
C20.203(C22×S3) = C10×Q8⋊2S3φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.203(C2^2xS3)480,820
C20.204(C22×S3) = C5×Q8.11D6φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.204(C2^2xS3)480,821
C20.205(C22×S3) = C10×C3⋊Q16φ: C22×S3/D6 → C2 ⊆ Aut C20480C20.205(C2^2xS3)480,822
C20.206(C22×S3) = C5×D4⋊D6φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.206(C2^2xS3)480,828
C20.207(C22×S3) = C5×Q8.13D6φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.207(C2^2xS3)480,829
C20.208(C22×S3) = C5×Q8.14D6φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.208(C2^2xS3)480,830
C20.209(C22×S3) = C10×D4⋊2S3φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.209(C2^2xS3)480,1155
C20.210(C22×S3) = C5×D4⋊6D6φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.210(C2^2xS3)480,1156
C20.211(C22×S3) = S3×Q8×C10φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.211(C2^2xS3)480,1157
C20.212(C22×S3) = C10×Q8⋊3S3φ: C22×S3/D6 → C2 ⊆ Aut C20240C20.212(C2^2xS3)480,1158
C20.213(C22×S3) = C5×Q8.15D6φ: C22×S3/D6 → C2 ⊆ Aut C202404C20.213(C2^2xS3)480,1159
C20.214(C22×S3) = C5×S3×C4○D4φ: C22×S3/D6 → C2 ⊆ Aut C201204C20.214(C2^2xS3)480,1160
C20.215(C22×S3) = C2×C24⋊D5φ: C22×S3/C2×C6 → C2 ⊆ Aut C20240C20.215(C2^2xS3)480,867
C20.216(C22×S3) = C2×D120φ: C22×S3/C2×C6 → C2 ⊆ Aut C20240C20.216(C2^2xS3)480,868
C20.217(C22×S3) = C40.69D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C202402C20.217(C2^2xS3)480,869
C20.218(C22×S3) = C2×Dic60φ: C22×S3/C2×C6 → C2 ⊆ Aut C20480C20.218(C2^2xS3)480,870
C20.219(C22×S3) = C8⋊D30φ: C22×S3/C2×C6 → C2 ⊆ Aut C201204+C20.219(C2^2xS3)480,873
C20.220(C22×S3) = C8.D30φ: C22×S3/C2×C6 → C2 ⊆ Aut C202404-C20.220(C2^2xS3)480,874
C20.221(C22×S3) = C22×Dic30φ: C22×S3/C2×C6 → C2 ⊆ Aut C20480C20.221(C2^2xS3)480,1165
C20.222(C22×S3) = C2×C8×D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C20240C20.222(C2^2xS3)480,864
C20.223(C22×S3) = C2×C40⋊S3φ: C22×S3/C2×C6 → C2 ⊆ Aut C20240C20.223(C2^2xS3)480,865
C20.224(C22×S3) = D60.6C4φ: C22×S3/C2×C6 → C2 ⊆ Aut C202402C20.224(C2^2xS3)480,866
C20.225(C22×S3) = M4(2)×D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C201204C20.225(C2^2xS3)480,871
C20.226(C22×S3) = D60.3C4φ: C22×S3/C2×C6 → C2 ⊆ Aut C202404C20.226(C2^2xS3)480,872
C20.227(C22×S3) = C22×C15⋊3C8φ: C22×S3/C2×C6 → C2 ⊆ Aut C20480C20.227(C2^2xS3)480,885
C20.228(C22×S3) = C2×C60.7C4φ: C22×S3/C2×C6 → C2 ⊆ Aut C20240C20.228(C2^2xS3)480,886
C20.229(C22×S3) = D4.Dic15φ: C22×S3/C2×C6 → C2 ⊆ Aut C202404C20.229(C2^2xS3)480,913
C20.230(C22×S3) = C2×D60⋊11C2φ: C22×S3/C2×C6 → C2 ⊆ Aut C20240C20.230(C2^2xS3)480,1168
C20.231(C22×S3) = C10×C24⋊C2φ: C22×S3/C2×C6 → C2 ⊆ Aut C20240C20.231(C2^2xS3)480,781
C20.232(C22×S3) = C10×D24φ: C22×S3/C2×C6 → C2 ⊆ Aut C20240C20.232(C2^2xS3)480,782
C20.233(C22×S3) = C5×C4○D24φ: C22×S3/C2×C6 → C2 ⊆ Aut C202402C20.233(C2^2xS3)480,783
C20.234(C22×S3) = C10×Dic12φ: C22×S3/C2×C6 → C2 ⊆ Aut C20480C20.234(C2^2xS3)480,784
C20.235(C22×S3) = C5×C8⋊D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C201204C20.235(C2^2xS3)480,787
C20.236(C22×S3) = C5×C8.D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C202404C20.236(C2^2xS3)480,788
C20.237(C22×S3) = C2×C10×Dic6φ: C22×S3/C2×C6 → C2 ⊆ Aut C20480C20.237(C2^2xS3)480,1150
C20.238(C22×S3) = C10×C4○D12φ: C22×S3/C2×C6 → C2 ⊆ Aut C20240C20.238(C2^2xS3)480,1153
C20.239(C22×S3) = C5×D4○D12φ: C22×S3/C2×C6 → C2 ⊆ Aut C201204C20.239(C2^2xS3)480,1161
C20.240(C22×S3) = C5×Q8○D12φ: C22×S3/C2×C6 → C2 ⊆ Aut C202404C20.240(C2^2xS3)480,1162
C20.241(C22×S3) = S3×C2×C40central extension (φ=1)240C20.241(C2^2xS3)480,778
C20.242(C22×S3) = C10×C8⋊S3central extension (φ=1)240C20.242(C2^2xS3)480,779
C20.243(C22×S3) = C5×C8○D12central extension (φ=1)2402C20.243(C2^2xS3)480,780
C20.244(C22×S3) = C5×S3×M4(2)central extension (φ=1)1204C20.244(C2^2xS3)480,785
C20.245(C22×S3) = C5×D12.C4central extension (φ=1)2404C20.245(C2^2xS3)480,786
C20.246(C22×S3) = C2×C10×C3⋊C8central extension (φ=1)480C20.246(C2^2xS3)480,799
C20.247(C22×S3) = C10×C4.Dic3central extension (φ=1)240C20.247(C2^2xS3)480,800
C20.248(C22×S3) = C5×D4.Dic3central extension (φ=1)2404C20.248(C2^2xS3)480,827

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