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Extensions 1→N→G→Q→1 with N=C20 and Q=C3:D4

Direct product G=NxQ with N=C20 and Q=C3:D4
dρLabelID
C20xC3:D4240C20xC3:D4480,807

Semidirect products G=N:Q with N=C20 and Q=C3:D4
extensionφ:Q→Aut NdρLabelID
C20:1(C3:D4) = C60:D4φ: C3:D4/C6 → C22 ⊆ Aut C20240C20:1(C3:D4)480,525
C20:2(C3:D4) = C12:7D20φ: C3:D4/C6 → C22 ⊆ Aut C20240C20:2(C3:D4)480,526
C20:3(C3:D4) = C60:10D4φ: C3:D4/C6 → C22 ⊆ Aut C20240C20:3(C3:D4)480,539
C20:4(C3:D4) = C12:2D20φ: C3:D4/C6 → C22 ⊆ Aut C20240C20:4(C3:D4)480,541
C20:5(C3:D4) = C60:2D4φ: C3:D4/C6 → C22 ⊆ Aut C20240C20:5(C3:D4)480,903
C20:6(C3:D4) = C60:3D4φ: C3:D4/C6 → C22 ⊆ Aut C20240C20:6(C3:D4)480,905
C20:7(C3:D4) = C12:D20φ: C3:D4/Dic3 → C2 ⊆ Aut C20240C20:7(C3:D4)480,534
C20:8(C3:D4) = C4xC3:D20φ: C3:D4/Dic3 → C2 ⊆ Aut C20240C20:8(C3:D4)480,519
C20:9(C3:D4) = C5xC12:3D4φ: C3:D4/Dic3 → C2 ⊆ Aut C20240C20:9(C3:D4)480,819
C20:10(C3:D4) = C60:4D4φ: C3:D4/D6 → C2 ⊆ Aut C20240C20:10(C3:D4)480,532
C20:11(C3:D4) = C4xC15:D4φ: C3:D4/D6 → C2 ⊆ Aut C20240C20:11(C3:D4)480,515
C20:12(C3:D4) = C5xD6:3D4φ: C3:D4/D6 → C2 ⊆ Aut C20240C20:12(C3:D4)480,817
C20:13(C3:D4) = C60:29D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C20240C20:13(C3:D4)480,895
C20:14(C3:D4) = C4xC15:7D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C20240C20:14(C3:D4)480,893
C20:15(C3:D4) = C5xC12:7D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C20240C20:15(C3:D4)480,809

Non-split extensions G=N.Q with N=C20 and Q=C3:D4
extensionφ:Q→Aut NdρLabelID
C20.1(C3:D4) = C15:D16φ: C3:D4/C6 → C22 ⊆ Aut C202404C20.1(C3:D4)480,13
C20.2(C3:D4) = C40.D6φ: C3:D4/C6 → C22 ⊆ Aut C202404C20.2(C3:D4)480,16
C20.3(C3:D4) = C15:SD32φ: C3:D4/C6 → C22 ⊆ Aut C202404C20.3(C3:D4)480,17
C20.4(C3:D4) = C15:Q32φ: C3:D4/C6 → C22 ⊆ Aut C204804C20.4(C3:D4)480,22
C20.5(C3:D4) = C20.5D12φ: C3:D4/C6 → C22 ⊆ Aut C201204C20.5(C3:D4)480,35
C20.6(C3:D4) = C60.29D4φ: C3:D4/C6 → C22 ⊆ Aut C201204+C20.6(C3:D4)480,36
C20.7(C3:D4) = C60.54D4φ: C3:D4/C6 → C22 ⊆ Aut C202404C20.7(C3:D4)480,38
C20.8(C3:D4) = C60.31D4φ: C3:D4/C6 → C22 ⊆ Aut C202404-C20.8(C3:D4)480,39
C20.9(C3:D4) = C30.D8φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.9(C3:D4)480,40
C20.10(C3:D4) = C10.D24φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.10(C3:D4)480,43
C20.11(C3:D4) = D60:15C4φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.11(C3:D4)480,45
C20.12(C3:D4) = C30.Q16φ: C3:D4/C6 → C22 ⊆ Aut C20480C20.12(C3:D4)480,46
C20.13(C3:D4) = C10.Dic12φ: C3:D4/C6 → C22 ⊆ Aut C20480C20.13(C3:D4)480,49
C20.14(C3:D4) = Dic30:15C4φ: C3:D4/C6 → C22 ⊆ Aut C20480C20.14(C3:D4)480,51
C20.15(C3:D4) = C15:7D16φ: C3:D4/C6 → C22 ⊆ Aut C202404+C20.15(C3:D4)480,186
C20.16(C3:D4) = D8.D15φ: C3:D4/C6 → C22 ⊆ Aut C202404-C20.16(C3:D4)480,187
C20.17(C3:D4) = C8.6D30φ: C3:D4/C6 → C22 ⊆ Aut C202404+C20.17(C3:D4)480,188
C20.18(C3:D4) = C15:7Q32φ: C3:D4/C6 → C22 ⊆ Aut C204804-C20.18(C3:D4)480,189
C20.19(C3:D4) = D4:Dic15φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.19(C3:D4)480,192
C20.20(C3:D4) = C60.8D4φ: C3:D4/C6 → C22 ⊆ Aut C201204C20.20(C3:D4)480,193
C20.21(C3:D4) = Q8:2Dic15φ: C3:D4/C6 → C22 ⊆ Aut C20480C20.21(C3:D4)480,195
C20.22(C3:D4) = C60.10D4φ: C3:D4/C6 → C22 ⊆ Aut C202404C20.22(C3:D4)480,196
C20.23(C3:D4) = C2xC15:D8φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.23(C3:D4)480,372
C20.24(C3:D4) = D20:21D6φ: C3:D4/C6 → C22 ⊆ Aut C201204C20.24(C3:D4)480,375
C20.25(C3:D4) = D20:19D6φ: C3:D4/C6 → C22 ⊆ Aut C201204+C20.25(C3:D4)480,377
C20.26(C3:D4) = C2xC30.D4φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.26(C3:D4)480,382
C20.27(C3:D4) = D20.37D6φ: C3:D4/C6 → C22 ⊆ Aut C202404C20.27(C3:D4)480,383
C20.28(C3:D4) = C2xC20.D6φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.28(C3:D4)480,384
C20.29(C3:D4) = D60:30C22φ: C3:D4/C6 → C22 ⊆ Aut C201204C20.29(C3:D4)480,388
C20.30(C3:D4) = C60.63D4φ: C3:D4/C6 → C22 ⊆ Aut C202404-C20.30(C3:D4)480,389
C20.31(C3:D4) = C12.D20φ: C3:D4/C6 → C22 ⊆ Aut C202404C20.31(C3:D4)480,391
C20.32(C3:D4) = C2xC15:Q16φ: C3:D4/C6 → C22 ⊆ Aut C20480C20.32(C3:D4)480,394
C20.33(C3:D4) = C60.67D4φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.33(C3:D4)480,435
C20.34(C3:D4) = C60.68D4φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.34(C3:D4)480,436
C20.35(C3:D4) = C60.88D4φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.35(C3:D4)480,444
C20.36(C3:D4) = C60.89D4φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.36(C3:D4)480,446
C20.37(C3:D4) = Dic15:8Q8φ: C3:D4/C6 → C22 ⊆ Aut C20480C20.37(C3:D4)480,461
C20.38(C3:D4) = D30:10Q8φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.38(C3:D4)480,466
C20.39(C3:D4) = C2xD4:D15φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.39(C3:D4)480,896
C20.40(C3:D4) = D4.D30φ: C3:D4/C6 → C22 ⊆ Aut C201204C20.40(C3:D4)480,897
C20.41(C3:D4) = C2xD4.D15φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.41(C3:D4)480,898
C20.42(C3:D4) = C60.17D4φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.42(C3:D4)480,901
C20.43(C3:D4) = C2xQ8:2D15φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.43(C3:D4)480,906
C20.44(C3:D4) = Q8.11D30φ: C3:D4/C6 → C22 ⊆ Aut C202404C20.44(C3:D4)480,907
C20.45(C3:D4) = C2xC15:7Q16φ: C3:D4/C6 → C22 ⊆ Aut C20480C20.45(C3:D4)480,908
C20.46(C3:D4) = Dic15:4Q8φ: C3:D4/C6 → C22 ⊆ Aut C20480C20.46(C3:D4)480,909
C20.47(C3:D4) = D30:7Q8φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.47(C3:D4)480,911
C20.48(C3:D4) = C60.23D4φ: C3:D4/C6 → C22 ⊆ Aut C20240C20.48(C3:D4)480,912
C20.49(C3:D4) = C3:D80φ: C3:D4/Dic3 → C2 ⊆ Aut C202404+C20.49(C3:D4)480,14
C20.50(C3:D4) = D40.S3φ: C3:D4/Dic3 → C2 ⊆ Aut C202404-C20.50(C3:D4)480,18
C20.51(C3:D4) = C24.D10φ: C3:D4/Dic3 → C2 ⊆ Aut C202404+C20.51(C3:D4)480,19
C20.52(C3:D4) = C3:Dic40φ: C3:D4/Dic3 → C2 ⊆ Aut C204804-C20.52(C3:D4)480,23
C20.53(C3:D4) = C2xC3:D40φ: C3:D4/Dic3 → C2 ⊆ Aut C20240C20.53(C3:D4)480,376
C20.54(C3:D4) = C2xC6.D20φ: C3:D4/Dic3 → C2 ⊆ Aut C20240C20.54(C3:D4)480,386
C20.55(C3:D4) = C2xC15:SD16φ: C3:D4/Dic3 → C2 ⊆ Aut C20240C20.55(C3:D4)480,390
C20.56(C3:D4) = C2xC3:Dic20φ: C3:D4/Dic3 → C2 ⊆ Aut C20480C20.56(C3:D4)480,395
C20.57(C3:D4) = C60.44D4φ: C3:D4/Dic3 → C2 ⊆ Aut C20240C20.57(C3:D4)480,440
C20.58(C3:D4) = C60.47D4φ: C3:D4/Dic3 → C2 ⊆ Aut C20240C20.58(C3:D4)480,450
C20.59(C3:D4) = C60.48D4φ: C3:D4/Dic3 → C2 ⊆ Aut C20480C20.59(C3:D4)480,465
C20.60(C3:D4) = D30:4C8φ: C3:D4/Dic3 → C2 ⊆ Aut C20240C20.60(C3:D4)480,33
C20.61(C3:D4) = C60.97D4φ: C3:D4/Dic3 → C2 ⊆ Aut C201204C20.61(C3:D4)480,53
C20.62(C3:D4) = D60:13C4φ: C3:D4/Dic3 → C2 ⊆ Aut C201204C20.62(C3:D4)480,56
C20.63(C3:D4) = C60.15Q8φ: C3:D4/Dic3 → C2 ⊆ Aut C20480C20.63(C3:D4)480,60
C20.64(C3:D4) = C12.59D20φ: C3:D4/Dic3 → C2 ⊆ Aut C202404C20.64(C3:D4)480,69
C20.65(C3:D4) = D20.31D6φ: C3:D4/Dic3 → C2 ⊆ Aut C202404C20.65(C3:D4)480,387
C20.66(C3:D4) = C5xC3:D16φ: C3:D4/Dic3 → C2 ⊆ Aut C202404C20.66(C3:D4)480,145
C20.67(C3:D4) = C5xD8.S3φ: C3:D4/Dic3 → C2 ⊆ Aut C202404C20.67(C3:D4)480,146
C20.68(C3:D4) = C5xC8.6D6φ: C3:D4/Dic3 → C2 ⊆ Aut C202404C20.68(C3:D4)480,147
C20.69(C3:D4) = C5xC3:Q32φ: C3:D4/Dic3 → C2 ⊆ Aut C204804C20.69(C3:D4)480,148
C20.70(C3:D4) = C10xD4:S3φ: C3:D4/Dic3 → C2 ⊆ Aut C20240C20.70(C3:D4)480,810
C20.71(C3:D4) = C10xD4.S3φ: C3:D4/Dic3 → C2 ⊆ Aut C20240C20.71(C3:D4)480,812
C20.72(C3:D4) = C5xC23.12D6φ: C3:D4/Dic3 → C2 ⊆ Aut C20240C20.72(C3:D4)480,815
C20.73(C3:D4) = C10xQ8:2S3φ: C3:D4/Dic3 → C2 ⊆ Aut C20240C20.73(C3:D4)480,820
C20.74(C3:D4) = C10xC3:Q16φ: C3:D4/Dic3 → C2 ⊆ Aut C20480C20.74(C3:D4)480,822
C20.75(C3:D4) = C5xDic3:Q8φ: C3:D4/Dic3 → C2 ⊆ Aut C20480C20.75(C3:D4)480,823
C20.76(C3:D4) = C5xC12.23D4φ: C3:D4/Dic3 → C2 ⊆ Aut C20240C20.76(C3:D4)480,826
C20.77(C3:D4) = C60.28D4φ: C3:D4/D6 → C2 ⊆ Aut C201204C20.77(C3:D4)480,34
C20.78(C3:D4) = C12.6D20φ: C3:D4/D6 → C2 ⊆ Aut C202404C20.78(C3:D4)480,37
C20.79(C3:D4) = C6.D40φ: C3:D4/D6 → C2 ⊆ Aut C20240C20.79(C3:D4)480,41
C20.80(C3:D4) = C6.Dic20φ: C3:D4/D6 → C2 ⊆ Aut C20480C20.80(C3:D4)480,47
C20.81(C3:D4) = C60.36D4φ: C3:D4/D6 → C2 ⊆ Aut C201204C20.81(C3:D4)480,374
C20.82(C3:D4) = D12.37D10φ: C3:D4/D6 → C2 ⊆ Aut C202404C20.82(C3:D4)480,385
C20.83(C3:D4) = C60.46D4φ: C3:D4/D6 → C2 ⊆ Aut C20240C20.83(C3:D4)480,445
C20.84(C3:D4) = C60.93D4φ: C3:D4/D6 → C2 ⊆ Aut C20240C20.84(C3:D4)480,31
C20.85(C3:D4) = C60.94D4φ: C3:D4/D6 → C2 ⊆ Aut C20240C20.85(C3:D4)480,32
C20.86(C3:D4) = C60.96D4φ: C3:D4/D6 → C2 ⊆ Aut C201204C20.86(C3:D4)480,52
C20.87(C3:D4) = C60.98D4φ: C3:D4/D6 → C2 ⊆ Aut C201204C20.87(C3:D4)480,54
C20.88(C3:D4) = C60.14Q8φ: C3:D4/D6 → C2 ⊆ Aut C20480C20.88(C3:D4)480,59
C20.89(C3:D4) = C60.D4φ: C3:D4/D6 → C2 ⊆ Aut C202404C20.89(C3:D4)480,68
C20.90(C3:D4) = D20.34D6φ: C3:D4/D6 → C2 ⊆ Aut C202404C20.90(C3:D4)480,373
C20.91(C3:D4) = C5xD4:Dic3φ: C3:D4/D6 → C2 ⊆ Aut C20240C20.91(C3:D4)480,151
C20.92(C3:D4) = C5xC12.D4φ: C3:D4/D6 → C2 ⊆ Aut C201204C20.92(C3:D4)480,152
C20.93(C3:D4) = C5xQ8:2Dic3φ: C3:D4/D6 → C2 ⊆ Aut C20480C20.93(C3:D4)480,154
C20.94(C3:D4) = C5xC12.10D4φ: C3:D4/D6 → C2 ⊆ Aut C202404C20.94(C3:D4)480,155
C20.95(C3:D4) = C5xD12:6C22φ: C3:D4/D6 → C2 ⊆ Aut C201204C20.95(C3:D4)480,811
C20.96(C3:D4) = C5xQ8.11D6φ: C3:D4/D6 → C2 ⊆ Aut C202404C20.96(C3:D4)480,821
C20.97(C3:D4) = C5xD6:3Q8φ: C3:D4/D6 → C2 ⊆ Aut C20240C20.97(C3:D4)480,825
C20.98(C3:D4) = Dic30:8C4φ: C3:D4/C2xC6 → C2 ⊆ Aut C20480C20.98(C3:D4)480,176
C20.99(C3:D4) = D60:8C4φ: C3:D4/C2xC6 → C2 ⊆ Aut C20240C20.99(C3:D4)480,181
C20.100(C3:D4) = M4(2):D15φ: C3:D4/C2xC6 → C2 ⊆ Aut C201204+C20.100(C3:D4)480,183
C20.101(C3:D4) = C4.D60φ: C3:D4/C2xC6 → C2 ⊆ Aut C202404-C20.101(C3:D4)480,184
C20.102(C3:D4) = C60.205D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C20240C20.102(C3:D4)480,889
C20.103(C3:D4) = D4:D30φ: C3:D4/C2xC6 → C2 ⊆ Aut C201204+C20.103(C3:D4)480,914
C20.104(C3:D4) = D4.9D30φ: C3:D4/C2xC6 → C2 ⊆ Aut C202404-C20.104(C3:D4)480,916
C20.105(C3:D4) = C60.26Q8φ: C3:D4/C2xC6 → C2 ⊆ Aut C20480C20.105(C3:D4)480,174
C20.106(C3:D4) = D30:3C8φ: C3:D4/C2xC6 → C2 ⊆ Aut C20240C20.106(C3:D4)480,180
C20.107(C3:D4) = C60.210D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C202404C20.107(C3:D4)480,182
C20.108(C3:D4) = D60:10C4φ: C3:D4/C2xC6 → C2 ⊆ Aut C201204C20.108(C3:D4)480,185
C20.109(C3:D4) = C60.212D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C20240C20.109(C3:D4)480,190
C20.110(C3:D4) = Q8:3Dic15φ: C3:D4/C2xC6 → C2 ⊆ Aut C201204C20.110(C3:D4)480,197
C20.111(C3:D4) = D4.8D30φ: C3:D4/C2xC6 → C2 ⊆ Aut C202404C20.111(C3:D4)480,915
C20.112(C3:D4) = C5xC2.Dic12φ: C3:D4/C2xC6 → C2 ⊆ Aut C20480C20.112(C3:D4)480,135
C20.113(C3:D4) = C5xC2.D24φ: C3:D4/C2xC6 → C2 ⊆ Aut C20240C20.113(C3:D4)480,140
C20.114(C3:D4) = C5xC12.46D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C201204C20.114(C3:D4)480,142
C20.115(C3:D4) = C5xC12.47D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C202404C20.115(C3:D4)480,143
C20.116(C3:D4) = C5xC12.48D4φ: C3:D4/C2xC6 → C2 ⊆ Aut C20240C20.116(C3:D4)480,803
C20.117(C3:D4) = C5xD4:D6φ: C3:D4/C2xC6 → C2 ⊆ Aut C201204C20.117(C3:D4)480,828
C20.118(C3:D4) = C5xQ8.14D6φ: C3:D4/C2xC6 → C2 ⊆ Aut C202404C20.118(C3:D4)480,830
C20.119(C3:D4) = C5xDic3:C8central extension (φ=1)480C20.119(C3:D4)480,133
C20.120(C3:D4) = C5xD6:C8central extension (φ=1)240C20.120(C3:D4)480,139
C20.121(C3:D4) = C5xC12.53D4central extension (φ=1)2404C20.121(C3:D4)480,141
C20.122(C3:D4) = C5xD12:C4central extension (φ=1)1204C20.122(C3:D4)480,144
C20.123(C3:D4) = C5xC12.55D4central extension (φ=1)240C20.123(C3:D4)480,149
C20.124(C3:D4) = C5xQ8:3Dic3central extension (φ=1)1204C20.124(C3:D4)480,156
C20.125(C3:D4) = C5xQ8.13D6central extension (φ=1)2404C20.125(C3:D4)480,829

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