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Extensions 1→N→G→Q→1 with N=C20 and Q=C2×Q8

Direct product G=N×Q with N=C20 and Q=C2×Q8
dρLabelID
Q8×C2×C20320Q8xC2xC20320,1518

Semidirect products G=N:Q with N=C20 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C20⋊1(C2×Q8) = D4×Dic10φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20:1(C2xQ8)320,1209
C20⋊2(C2×Q8) = D5×C4⋊Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20:2(C2xQ8)320,1395
C20⋊3(C2×Q8) = D20⋊8Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20:3(C2xQ8)320,1399
C20⋊4(C2×Q8) = C2×C20⋊Q8φ: C2×Q8/C22 → C22 ⊆ Aut C20320C20:4(C2xQ8)320,1169
C20⋊5(C2×Q8) = C2×C20⋊2Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20:5(C2xQ8)320,1140
C20⋊6(C2×Q8) = C2×C4×Dic10φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20:6(C2xQ8)320,1139
C20⋊7(C2×Q8) = C10×C4⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20:7(C2xQ8)320,1533
C20⋊8(C2×Q8) = Q8×D20φ: C2×Q8/Q8 → C2 ⊆ Aut C20160C20:8(C2xQ8)320,1247
C20⋊9(C2×Q8) = C4×Q8×D5φ: C2×Q8/Q8 → C2 ⊆ Aut C20160C20:9(C2xQ8)320,1243
C20⋊10(C2×Q8) = C5×D4×Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C20160C20:10(C2xQ8)320,1551

Non-split extensions G=N.Q with N=C20 and Q=C2×Q8
extensionφ:Q→Aut NdρLabelID
C20.1(C2×Q8) = Dic5.14D8φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.1(C2xQ8)320,386
C20.2(C2×Q8) = D4⋊Dic10φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.2(C2xQ8)320,388
C20.3(C2×Q8) = D4.Dic10φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.3(C2xQ8)320,390
C20.4(C2×Q8) = D4.2Dic10φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.4(C2xQ8)320,393
C20.5(C2×Q8) = Q8⋊Dic10φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.5(C2xQ8)320,418
C20.6(C2×Q8) = Dic5.9Q16φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.6(C2xQ8)320,421
C20.7(C2×Q8) = Q8.Dic10φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.7(C2xQ8)320,423
C20.8(C2×Q8) = Q8.2Dic10φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.8(C2xQ8)320,426
C20.9(C2×Q8) = Dic10⋊Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.9(C2xQ8)320,481
C20.10(C2×Q8) = C40⋊5Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.10(C2xQ8)320,482
C20.11(C2×Q8) = Dic10.Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.11(C2xQ8)320,484
C20.12(C2×Q8) = D5×C4.Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.12(C2xQ8)320,486
C20.13(C2×Q8) = (C8×D5)⋊C4φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.13(C2xQ8)320,487
C20.14(C2×Q8) = C8⋊(C4×D5)φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.14(C2xQ8)320,488
C20.15(C2×Q8) = D20⋊Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.15(C2xQ8)320,497
C20.16(C2×Q8) = D20.Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.16(C2xQ8)320,498
C20.17(C2×Q8) = C40⋊2Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.17(C2xQ8)320,501
C20.18(C2×Q8) = Dic10⋊2Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.18(C2xQ8)320,502
C20.19(C2×Q8) = Dic10.2Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.19(C2xQ8)320,504
C20.20(C2×Q8) = D5×C2.D8φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.20(C2xQ8)320,506
C20.21(C2×Q8) = C8.27(C4×D5)φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.21(C2xQ8)320,507
C20.22(C2×Q8) = C40⋊20(C2×C4)φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.22(C2xQ8)320,508
C20.23(C2×Q8) = D20⋊2Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.23(C2xQ8)320,517
C20.24(C2×Q8) = D20.2Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.24(C2xQ8)320,518
C20.25(C2×Q8) = C20.50D8φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.25(C2xQ8)320,634
C20.26(C2×Q8) = C20.38SD16φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.26(C2xQ8)320,635
C20.27(C2×Q8) = D4.3Dic10φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.27(C2xQ8)320,636
C20.28(C2×Q8) = C20.48SD16φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.28(C2xQ8)320,647
C20.29(C2×Q8) = C20.23Q16φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.29(C2xQ8)320,648
C20.30(C2×Q8) = Q8.3Dic10φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.30(C2xQ8)320,649
C20.31(C2×Q8) = Dic10.4Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.31(C2xQ8)320,690
C20.32(C2×Q8) = C42.215D10φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.32(C2xQ8)320,691
C20.33(C2×Q8) = C42.68D10φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.33(C2xQ8)320,692
C20.34(C2×Q8) = D20.4Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.34(C2xQ8)320,693
C20.35(C2×Q8) = C20.17D8φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.35(C2xQ8)320,705
C20.36(C2×Q8) = C20.SD16φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.36(C2xQ8)320,706
C20.37(C2×Q8) = C42.76D10φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.37(C2xQ8)320,707
C20.38(C2×Q8) = D20⋊5Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.38(C2xQ8)320,711
C20.39(C2×Q8) = D20⋊6Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.39(C2xQ8)320,714
C20.40(C2×Q8) = Dic10⋊5Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.40(C2xQ8)320,718
C20.41(C2×Q8) = Dic10⋊6Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.41(C2xQ8)320,721
C20.42(C2×Q8) = D4⋊5Dic10φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.42(C2xQ8)320,1211
C20.43(C2×Q8) = D4⋊6Dic10φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.43(C2xQ8)320,1215
C20.44(C2×Q8) = Q8×Dic10φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.44(C2xQ8)320,1238
C20.45(C2×Q8) = Q8⋊5Dic10φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.45(C2xQ8)320,1241
C20.46(C2×Q8) = Q8⋊6Dic10φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.46(C2xQ8)320,1242
C20.47(C2×Q8) = Dic10⋊7Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.47(C2xQ8)320,1357
C20.48(C2×Q8) = D5×C42.C2φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.48(C2xQ8)320,1359
C20.49(C2×Q8) = C42.236D10φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.49(C2xQ8)320,1360
C20.50(C2×Q8) = C42.148D10φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.50(C2xQ8)320,1361
C20.51(C2×Q8) = D20⋊7Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.51(C2xQ8)320,1362
C20.52(C2×Q8) = Dic10⋊8Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.52(C2xQ8)320,1393
C20.53(C2×Q8) = Dic10⋊9Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20320C20.53(C2xQ8)320,1394
C20.54(C2×Q8) = C42.241D10φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.54(C2xQ8)320,1400
C20.55(C2×Q8) = C42.174D10φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.55(C2xQ8)320,1401
C20.56(C2×Q8) = D20⋊9Q8φ: C2×Q8/C4 → C22 ⊆ Aut C20160C20.56(C2xQ8)320,1402
C20.57(C2×Q8) = C40⋊3Q8φ: C2×Q8/C22 → C22 ⊆ Aut C20320C20.57(C2xQ8)320,483
C20.58(C2×Q8) = C8.8Dic10φ: C2×Q8/C22 → C22 ⊆ Aut C20320C20.58(C2xQ8)320,485
C20.59(C2×Q8) = C40⋊4Q8φ: C2×Q8/C22 → C22 ⊆ Aut C20320C20.59(C2xQ8)320,503
C20.60(C2×Q8) = C8.6Dic10φ: C2×Q8/C22 → C22 ⊆ Aut C20320C20.60(C2xQ8)320,505
C20.61(C2×Q8) = C2×C10.D8φ: C2×Q8/C22 → C22 ⊆ Aut C20320C20.61(C2xQ8)320,589
C20.62(C2×Q8) = C2×C20.Q8φ: C2×Q8/C22 → C22 ⊆ Aut C20320C20.62(C2xQ8)320,590
C20.63(C2×Q8) = C20.47(C4⋊C4)φ: C2×Q8/C22 → C22 ⊆ Aut C20160C20.63(C2xQ8)320,591
C20.64(C2×Q8) = C20.64(C4⋊C4)φ: C2×Q8/C22 → C22 ⊆ Aut C20160C20.64(C2xQ8)320,622
C20.65(C2×Q8) = C20.76(C4⋊C4)φ: C2×Q8/C22 → C22 ⊆ Aut C20160C20.65(C2xQ8)320,625
C20.66(C2×Q8) = C2×C4.Dic10φ: C2×Q8/C22 → C22 ⊆ Aut C20320C20.66(C2xQ8)320,1171
C20.67(C2×Q8) = C10.12- 1+4φ: C2×Q8/C22 → C22 ⊆ Aut C20160C20.67(C2xQ8)320,1172
C20.68(C2×Q8) = C42.88D10φ: C2×Q8/C22 → C22 ⊆ Aut C20160C20.68(C2xQ8)320,1189
C20.69(C2×Q8) = C40⋊9Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.69(C2xQ8)320,307
C20.70(C2×Q8) = C40⋊8Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.70(C2xQ8)320,309
C20.71(C2×Q8) = C40.13Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.71(C2xQ8)320,310
C20.72(C2×Q8) = C8⋊Dic10φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.72(C2xQ8)320,329
C20.73(C2×Q8) = C2×C40⋊6C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.73(C2xQ8)320,731
C20.74(C2×Q8) = C2×C40⋊5C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.74(C2xQ8)320,732
C20.75(C2×Q8) = C23.22D20φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20160C20.75(C2xQ8)320,733
C20.76(C2×Q8) = C23.47D20φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20160C20.76(C2xQ8)320,748
C20.77(C2×Q8) = C2×C20.6Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.77(C2xQ8)320,1141
C20.78(C2×Q8) = C42.90D10φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20160C20.78(C2xQ8)320,1191
C20.79(C2×Q8) = C8×Dic10φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.79(C2xQ8)320,305
C20.80(C2×Q8) = C40⋊11Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.80(C2xQ8)320,306
C20.81(C2×Q8) = C40⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.81(C2xQ8)320,328
C20.82(C2×Q8) = C2×C20⋊3C8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.82(C2xQ8)320,550
C20.83(C2×Q8) = C20⋊13M4(2)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20160C20.83(C2xQ8)320,551
C20.84(C2×Q8) = C42.43D10φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20160C20.84(C2xQ8)320,626
C20.85(C2×Q8) = C2×C20.8Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.85(C2xQ8)320,726
C20.86(C2×Q8) = C20.65(C4⋊C4)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20160C20.86(C2xQ8)320,729
C20.87(C2×Q8) = Dic5⋊5M4(2)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20160C20.87(C2xQ8)320,745
C20.88(C2×Q8) = C20.51(C4⋊C4)φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20160C20.88(C2xQ8)320,746
C20.89(C2×Q8) = C42.274D10φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20160C20.89(C2xQ8)320,1142
C20.90(C2×Q8) = C10×C4.Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.90(C2xQ8)320,926
C20.91(C2×Q8) = C10×C2.D8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.91(C2xQ8)320,927
C20.92(C2×Q8) = C5×C23.25D4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20160C20.92(C2xQ8)320,928
C20.93(C2×Q8) = C5×M4(2)⋊C4φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20160C20.93(C2xQ8)320,929
C20.94(C2×Q8) = C5×C8⋊3Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.94(C2xQ8)320,999
C20.95(C2×Q8) = C5×C8.5Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.95(C2xQ8)320,1000
C20.96(C2×Q8) = C5×C8⋊2Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.96(C2xQ8)320,1001
C20.97(C2×Q8) = C5×C8⋊Q8φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.97(C2xQ8)320,1002
C20.98(C2×Q8) = C10×C42.C2φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20320C20.98(C2xQ8)320,1529
C20.99(C2×Q8) = C5×C23.37C23φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20160C20.99(C2xQ8)320,1535
C20.100(C2×Q8) = C5×C23.41C23φ: C2×Q8/C2×C4 → C2 ⊆ Aut C20160C20.100(C2xQ8)320,1546
C20.101(C2×Q8) = Dic10.3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C20320C20.101(C2xQ8)320,456
C20.102(C2×Q8) = D20⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C20160C20.102(C2xQ8)320,469
C20.103(C2×Q8) = D20⋊4Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C20160C20.103(C2xQ8)320,473
C20.104(C2×Q8) = D20.3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C20160C20.104(C2xQ8)320,474
C20.105(C2×Q8) = C20.7Q16φ: C2×Q8/Q8 → C2 ⊆ Aut C20320C20.105(C2xQ8)320,477
C20.106(C2×Q8) = Dic10⋊4Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C20320C20.106(C2xQ8)320,478
C20.107(C2×Q8) = Dic10⋊10Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C20320C20.107(C2xQ8)320,1239
C20.108(C2×Q8) = D20⋊10Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C20160C20.108(C2xQ8)320,1251
C20.109(C2×Q8) = Dic5.5M4(2)φ: C2×Q8/Q8 → C2 ⊆ Aut C20320C20.109(C2xQ8)320,455
C20.110(C2×Q8) = Dic10⋊5C8φ: C2×Q8/Q8 → C2 ⊆ Aut C20320C20.110(C2xQ8)320,457
C20.111(C2×Q8) = C42.198D10φ: C2×Q8/Q8 → C2 ⊆ Aut C20320C20.111(C2xQ8)320,458
C20.112(C2×Q8) = D5×C4⋊C8φ: C2×Q8/Q8 → C2 ⊆ Aut C20160C20.112(C2xQ8)320,459
C20.113(C2×Q8) = C20⋊5M4(2)φ: C2×Q8/Q8 → C2 ⊆ Aut C20160C20.113(C2xQ8)320,464
C20.114(C2×Q8) = C42.30D10φ: C2×Q8/Q8 → C2 ⊆ Aut C20160C20.114(C2xQ8)320,466
C20.115(C2×Q8) = Q8×C5⋊2C8φ: C2×Q8/Q8 → C2 ⊆ Aut C20320C20.115(C2xQ8)320,650
C20.116(C2×Q8) = C42.210D10φ: C2×Q8/Q8 → C2 ⊆ Aut C20320C20.116(C2xQ8)320,651
C20.117(C2×Q8) = C42.232D10φ: C2×Q8/Q8 → C2 ⊆ Aut C20160C20.117(C2xQ8)320,1250
C20.118(C2×Q8) = C5×D4⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C20160C20.118(C2xQ8)320,975
C20.119(C2×Q8) = C5×Q8⋊Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C20320C20.119(C2xQ8)320,976
C20.120(C2×Q8) = C5×D4⋊2Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C20160C20.120(C2xQ8)320,977
C20.121(C2×Q8) = C5×C4.Q16φ: C2×Q8/Q8 → C2 ⊆ Aut C20320C20.121(C2xQ8)320,978
C20.122(C2×Q8) = C5×D4.Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C20160C20.122(C2xQ8)320,979
C20.123(C2×Q8) = C5×Q8.Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C20320C20.123(C2xQ8)320,980
C20.124(C2×Q8) = C5×D4⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C20160C20.124(C2xQ8)320,1556
C20.125(C2×Q8) = C5×Q8⋊3Q8φ: C2×Q8/Q8 → C2 ⊆ Aut C20320C20.125(C2xQ8)320,1559
C20.126(C2×Q8) = C5×Q82φ: C2×Q8/Q8 → C2 ⊆ Aut C20320C20.126(C2xQ8)320,1560
C20.127(C2×Q8) = C10×C4⋊C8central extension (φ=1)320C20.127(C2xQ8)320,923
C20.128(C2×Q8) = C5×C4⋊M4(2)central extension (φ=1)160C20.128(C2xQ8)320,924
C20.129(C2×Q8) = C5×C42.6C22central extension (φ=1)160C20.129(C2xQ8)320,925
C20.130(C2×Q8) = Q8×C40central extension (φ=1)320C20.130(C2xQ8)320,946
C20.131(C2×Q8) = C5×C8⋊4Q8central extension (φ=1)320C20.131(C2xQ8)320,947

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