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Extensions 1→N→G→Q→1 with N=C20 and Q=C22×C4

Direct product G=N×Q with N=C20 and Q=C22×C4
dρLabelID
C22×C4×C20320C2^2xC4xC20320,1513

Semidirect products G=N:Q with N=C20 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C20⋊(C22×C4) = C2×D4×F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C2040C20:(C2^2xC4)320,1595
C20⋊2(C22×C4) = C4×D4×D5φ: C22×C4/C4 → C22 ⊆ Aut C2080C20:2(C2^2xC4)320,1216
C20⋊3(C22×C4) = C22×C4⋊F5φ: C22×C4/C22 → C4 ⊆ Aut C2080C20:3(C2^2xC4)320,1591
C20⋊4(C22×C4) = C22×C4×F5φ: C22×C4/C22 → C4 ⊆ Aut C2080C20:4(C2^2xC4)320,1590
C20⋊5(C22×C4) = C2×D5×C4⋊C4φ: C22×C4/C22 → C22 ⊆ Aut C20160C20:5(C2^2xC4)320,1173
C20⋊6(C22×C4) = C2×D20⋊8C4φ: C22×C4/C22 → C22 ⊆ Aut C20160C20:6(C2^2xC4)320,1175
C20⋊7(C22×C4) = C2×D4×Dic5φ: C22×C4/C22 → C22 ⊆ Aut C20160C20:7(C2^2xC4)320,1467
C20⋊8(C22×C4) = C2×C4×D20φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20:8(C2^2xC4)320,1145
C20⋊9(C22×C4) = D5×C2×C42φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20:9(C2^2xC4)320,1143
C20⋊10(C22×C4) = D4×C2×C20φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20:10(C2^2xC4)320,1517
C20⋊11(C22×C4) = C22×C4⋊Dic5φ: C22×C4/C23 → C2 ⊆ Aut C20320C20:11(C2^2xC4)320,1457
C20⋊12(C22×C4) = C22×C4×Dic5φ: C22×C4/C23 → C2 ⊆ Aut C20320C20:12(C2^2xC4)320,1454
C20⋊13(C22×C4) = C4⋊C4×C2×C10φ: C22×C4/C23 → C2 ⊆ Aut C20320C20:13(C2^2xC4)320,1515

Non-split extensions G=N.Q with N=C20 and Q=C22×C4
extensionφ:Q→Aut NdρLabelID
C20.1(C22×C4) = D8×F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20408+C20.1(C2^2xC4)320,1068
C20.2(C22×C4) = D40⋊C4φ: C22×C4/C2 → C2×C4 ⊆ Aut C20408+C20.2(C2^2xC4)320,1069
C20.3(C22×C4) = D8⋊5F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808-C20.3(C2^2xC4)320,1070
C20.4(C22×C4) = D8⋊F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808-C20.4(C2^2xC4)320,1071
C20.5(C22×C4) = SD16×F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20408C20.5(C2^2xC4)320,1072
C20.6(C22×C4) = SD16⋊F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20408C20.6(C2^2xC4)320,1073
C20.7(C22×C4) = SD16⋊3F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808C20.7(C2^2xC4)320,1074
C20.8(C22×C4) = SD16⋊2F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808C20.8(C2^2xC4)320,1075
C20.9(C22×C4) = Q16×F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808-C20.9(C2^2xC4)320,1076
C20.10(C22×C4) = Dic20⋊C4φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808-C20.10(C2^2xC4)320,1077
C20.11(C22×C4) = Q16⋊5F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808+C20.11(C2^2xC4)320,1078
C20.12(C22×C4) = Q16⋊F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808+C20.12(C2^2xC4)320,1079
C20.13(C22×C4) = C2×D20⋊C4φ: C22×C4/C2 → C2×C4 ⊆ Aut C2080C20.13(C2^2xC4)320,1104
C20.14(C22×C4) = (D4×C10)⋊C4φ: C22×C4/C2 → C2×C4 ⊆ Aut C20408+C20.14(C2^2xC4)320,1105
C20.15(C22×C4) = C2×D4⋊F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C2080C20.15(C2^2xC4)320,1106
C20.16(C22×C4) = (C2×D4)⋊6F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808-C20.16(C2^2xC4)320,1107
C20.17(C22×C4) = C2×Q8⋊F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C2080C20.17(C2^2xC4)320,1119
C20.18(C22×C4) = (C2×Q8)⋊4F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808-C20.18(C2^2xC4)320,1120
C20.19(C22×C4) = C2×Q8⋊2F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C2080C20.19(C2^2xC4)320,1121
C20.20(C22×C4) = (C2×Q8)⋊6F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808+C20.20(C2^2xC4)320,1122
C20.21(C22×C4) = D5⋊C4≀C2φ: C22×C4/C2 → C2×C4 ⊆ Aut C20408C20.21(C2^2xC4)320,1130
C20.22(C22×C4) = C4○D4⋊F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20408C20.22(C2^2xC4)320,1131
C20.23(C22×C4) = C4○D20⋊C4φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808C20.23(C2^2xC4)320,1132
C20.24(C22×C4) = D4⋊F5⋊C2φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808C20.24(C2^2xC4)320,1133
C20.25(C22×C4) = C2×D4.F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20160C20.25(C2^2xC4)320,1593
C20.26(C22×C4) = Dic5.C24φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808-C20.26(C2^2xC4)320,1594
C20.27(C22×C4) = D10.C24φ: C22×C4/C2 → C2×C4 ⊆ Aut C20408+C20.27(C2^2xC4)320,1596
C20.28(C22×C4) = C2×Q8.F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20160C20.28(C2^2xC4)320,1597
C20.29(C22×C4) = Dic5.20C24φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808+C20.29(C2^2xC4)320,1598
C20.30(C22×C4) = C2×Q8×F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C2080C20.30(C2^2xC4)320,1599
C20.31(C22×C4) = D5.2- 1+4φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808-C20.31(C2^2xC4)320,1600
C20.32(C22×C4) = Dic5.21C24φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808C20.32(C2^2xC4)320,1601
C20.33(C22×C4) = Dic5.22C24φ: C22×C4/C2 → C2×C4 ⊆ Aut C20808C20.33(C2^2xC4)320,1602
C20.34(C22×C4) = C4○D4×F5φ: C22×C4/C2 → C2×C4 ⊆ Aut C20408C20.34(C2^2xC4)320,1603
C20.35(C22×C4) = D5.2+ 1+4φ: C22×C4/C2 → C2×C4 ⊆ Aut C20408C20.35(C2^2xC4)320,1604
C20.36(C22×C4) = Dic5⋊4D8φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.36(C2^2xC4)320,383
C20.37(C22×C4) = D4.D5⋊5C4φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.37(C2^2xC4)320,384
C20.38(C22×C4) = Dic5⋊6SD16φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.38(C2^2xC4)320,385
C20.39(C22×C4) = D5×D4⋊C4φ: C22×C4/C4 → C22 ⊆ Aut C2080C20.39(C2^2xC4)320,396
C20.40(C22×C4) = (D4×D5)⋊C4φ: C22×C4/C4 → C22 ⊆ Aut C2080C20.40(C2^2xC4)320,397
C20.41(C22×C4) = D4⋊(C4×D5)φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.41(C2^2xC4)320,398
C20.42(C22×C4) = D4⋊2D5⋊C4φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.42(C2^2xC4)320,399
C20.43(C22×C4) = D4⋊D5⋊6C4φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.43(C2^2xC4)320,412
C20.44(C22×C4) = Dic5⋊7SD16φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.44(C2^2xC4)320,415
C20.45(C22×C4) = C5⋊Q16⋊5C4φ: C22×C4/C4 → C22 ⊆ Aut C20320C20.45(C2^2xC4)320,416
C20.46(C22×C4) = Dic5⋊4Q16φ: C22×C4/C4 → C22 ⊆ Aut C20320C20.46(C2^2xC4)320,417
C20.47(C22×C4) = D5×Q8⋊C4φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.47(C2^2xC4)320,428
C20.48(C22×C4) = (Q8×D5)⋊C4φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.48(C2^2xC4)320,429
C20.49(C22×C4) = Q8⋊(C4×D5)φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.49(C2^2xC4)320,430
C20.50(C22×C4) = Q8⋊2D5⋊C4φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.50(C2^2xC4)320,431
C20.51(C22×C4) = Q8⋊D5⋊6C4φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.51(C2^2xC4)320,444
C20.52(C22×C4) = D5×C4≀C2φ: C22×C4/C4 → C22 ⊆ Aut C20404C20.52(C2^2xC4)320,447
C20.53(C22×C4) = C42⋊D10φ: C22×C4/C4 → C22 ⊆ Aut C20804C20.53(C2^2xC4)320,448
C20.54(C22×C4) = M4(2).22D10φ: C22×C4/C4 → C22 ⊆ Aut C20804C20.54(C2^2xC4)320,450
C20.55(C22×C4) = C42.196D10φ: C22×C4/C4 → C22 ⊆ Aut C20804C20.55(C2^2xC4)320,451
C20.56(C22×C4) = C4×D4⋊D5φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.56(C2^2xC4)320,640
C20.57(C22×C4) = C42.48D10φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.57(C2^2xC4)320,641
C20.58(C22×C4) = C4×D4.D5φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.58(C2^2xC4)320,644
C20.59(C22×C4) = C42.51D10φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.59(C2^2xC4)320,645
C20.60(C22×C4) = C4×Q8⋊D5φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.60(C2^2xC4)320,652
C20.61(C22×C4) = C42.56D10φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.61(C2^2xC4)320,653
C20.62(C22×C4) = C4×C5⋊Q16φ: C22×C4/C4 → C22 ⊆ Aut C20320C20.62(C2^2xC4)320,656
C20.63(C22×C4) = C42.59D10φ: C22×C4/C4 → C22 ⊆ Aut C20320C20.63(C2^2xC4)320,657
C20.64(C22×C4) = C40.93D4φ: C22×C4/C4 → C22 ⊆ Aut C20804C20.64(C2^2xC4)320,771
C20.65(C22×C4) = C40.50D4φ: C22×C4/C4 → C22 ⊆ Aut C20804C20.65(C2^2xC4)320,772
C20.66(C22×C4) = C4×D4⋊2D5φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.66(C2^2xC4)320,1208
C20.67(C22×C4) = C42⋊11D10φ: C22×C4/C4 → C22 ⊆ Aut C2080C20.67(C2^2xC4)320,1217
C20.68(C22×C4) = C42.108D10φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.68(C2^2xC4)320,1218
C20.69(C22×C4) = C4×Q8×D5φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.69(C2^2xC4)320,1243
C20.70(C22×C4) = C42.125D10φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.70(C2^2xC4)320,1244
C20.71(C22×C4) = C4×Q8⋊2D5φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.71(C2^2xC4)320,1245
C20.72(C22×C4) = C42.126D10φ: C22×C4/C4 → C22 ⊆ Aut C20160C20.72(C2^2xC4)320,1246
C20.73(C22×C4) = D5×C8○D4φ: C22×C4/C4 → C22 ⊆ Aut C20804C20.73(C2^2xC4)320,1421
C20.74(C22×C4) = C20.72C24φ: C22×C4/C4 → C22 ⊆ Aut C20804C20.74(C2^2xC4)320,1422
C20.75(C22×C4) = C2×C40⋊C4φ: C22×C4/C22 → C4 ⊆ Aut C2080C20.75(C2^2xC4)320,1057
C20.76(C22×C4) = C2×D5.D8φ: C22×C4/C22 → C4 ⊆ Aut C2080C20.76(C2^2xC4)320,1058
C20.77(C22×C4) = (C2×C8)⋊6F5φ: C22×C4/C22 → C4 ⊆ Aut C20804C20.77(C2^2xC4)320,1059
C20.78(C22×C4) = C2×C40.C4φ: C22×C4/C22 → C4 ⊆ Aut C20160C20.78(C2^2xC4)320,1060
C20.79(C22×C4) = C2×D10.Q8φ: C22×C4/C22 → C4 ⊆ Aut C20160C20.79(C2^2xC4)320,1061
C20.80(C22×C4) = (C8×D5).C4φ: C22×C4/C22 → C4 ⊆ Aut C20804C20.80(C2^2xC4)320,1062
C20.81(C22×C4) = M4(2)⋊1F5φ: C22×C4/C22 → C4 ⊆ Aut C20408C20.81(C2^2xC4)320,1065
C20.82(C22×C4) = M4(2).1F5φ: C22×C4/C22 → C4 ⊆ Aut C20808C20.82(C2^2xC4)320,1067
C20.83(C22×C4) = C22×C4.F5φ: C22×C4/C22 → C4 ⊆ Aut C20160C20.83(C2^2xC4)320,1588
C20.84(C22×C4) = C2×D10.C23φ: C22×C4/C22 → C4 ⊆ Aut C2080C20.84(C2^2xC4)320,1592
C20.85(C22×C4) = C2×D5⋊C16φ: C22×C4/C22 → C4 ⊆ Aut C20160C20.85(C2^2xC4)320,1051
C20.86(C22×C4) = C2×C8.F5φ: C22×C4/C22 → C4 ⊆ Aut C20160C20.86(C2^2xC4)320,1052
C20.87(C22×C4) = D5⋊M5(2)φ: C22×C4/C22 → C4 ⊆ Aut C20804C20.87(C2^2xC4)320,1053
C20.88(C22×C4) = C2×C8×F5φ: C22×C4/C22 → C4 ⊆ Aut C2080C20.88(C2^2xC4)320,1054
C20.89(C22×C4) = C2×C8⋊F5φ: C22×C4/C22 → C4 ⊆ Aut C2080C20.89(C2^2xC4)320,1055
C20.90(C22×C4) = C20.12C42φ: C22×C4/C22 → C4 ⊆ Aut C20804C20.90(C2^2xC4)320,1056
C20.91(C22×C4) = Dic10.C8φ: C22×C4/C22 → C4 ⊆ Aut C201608C20.91(C2^2xC4)320,1063
C20.92(C22×C4) = M4(2)×F5φ: C22×C4/C22 → C4 ⊆ Aut C20408C20.92(C2^2xC4)320,1064
C20.93(C22×C4) = M4(2)⋊5F5φ: C22×C4/C22 → C4 ⊆ Aut C20808C20.93(C2^2xC4)320,1066
C20.94(C22×C4) = C22×C5⋊C16φ: C22×C4/C22 → C4 ⊆ Aut C20320C20.94(C2^2xC4)320,1080
C20.95(C22×C4) = C2×C20.C8φ: C22×C4/C22 → C4 ⊆ Aut C20160C20.95(C2^2xC4)320,1081
C20.96(C22×C4) = C5⋊C16.C22φ: C22×C4/C22 → C4 ⊆ Aut C201608C20.96(C2^2xC4)320,1129
C20.97(C22×C4) = C22×D5⋊C8φ: C22×C4/C22 → C4 ⊆ Aut C20160C20.97(C2^2xC4)320,1587
C20.98(C22×C4) = C2×D5⋊M4(2)φ: C22×C4/C22 → C4 ⊆ Aut C2080C20.98(C2^2xC4)320,1589
C20.99(C22×C4) = Dic5⋊8SD16φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.99(C2^2xC4)320,479
C20.100(C22×C4) = Dic20⋊15C4φ: C22×C4/C22 → C22 ⊆ Aut C20320C20.100(C2^2xC4)320,480
C20.101(C22×C4) = D5×C4.Q8φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.101(C2^2xC4)320,486
C20.102(C22×C4) = (C8×D5)⋊C4φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.102(C2^2xC4)320,487
C20.103(C22×C4) = C8⋊(C4×D5)φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.103(C2^2xC4)320,488
C20.104(C22×C4) = D40⋊15C4φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.104(C2^2xC4)320,496
C20.105(C22×C4) = D40⋊12C4φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.105(C2^2xC4)320,499
C20.106(C22×C4) = Dic5⋊5Q16φ: C22×C4/C22 → C22 ⊆ Aut C20320C20.106(C2^2xC4)320,500
C20.107(C22×C4) = D5×C2.D8φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.107(C2^2xC4)320,506
C20.108(C22×C4) = C8.27(C4×D5)φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.108(C2^2xC4)320,507
C20.109(C22×C4) = C40⋊20(C2×C4)φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.109(C2^2xC4)320,508
C20.110(C22×C4) = C40⋊21(C2×C4)φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.110(C2^2xC4)320,516
C20.111(C22×C4) = D5×C8.C4φ: C22×C4/C22 → C22 ⊆ Aut C20804C20.111(C2^2xC4)320,519
C20.112(C22×C4) = M4(2).25D10φ: C22×C4/C22 → C22 ⊆ Aut C20804C20.112(C2^2xC4)320,520
C20.113(C22×C4) = D40⋊16C4φ: C22×C4/C22 → C22 ⊆ Aut C20804C20.113(C2^2xC4)320,521
C20.114(C22×C4) = D40⋊13C4φ: C22×C4/C22 → C22 ⊆ Aut C20804C20.114(C2^2xC4)320,522
C20.115(C22×C4) = C2×C10.D8φ: C22×C4/C22 → C22 ⊆ Aut C20320C20.115(C2^2xC4)320,589
C20.116(C22×C4) = C2×C20.Q8φ: C22×C4/C22 → C22 ⊆ Aut C20320C20.116(C2^2xC4)320,590
C20.117(C22×C4) = C20.47(C4⋊C4)φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.117(C2^2xC4)320,591
C20.118(C22×C4) = C2×D20⋊6C4φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.118(C2^2xC4)320,592
C20.119(C22×C4) = C4○D20⋊9C4φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.119(C2^2xC4)320,593
C20.120(C22×C4) = C2×C10.Q16φ: C22×C4/C22 → C22 ⊆ Aut C20320C20.120(C2^2xC4)320,596
C20.121(C22×C4) = C20.64(C4⋊C4)φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.121(C2^2xC4)320,622
C20.122(C22×C4) = C20.76(C4⋊C4)φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.122(C2^2xC4)320,625
C20.123(C22×C4) = C4⋊C4⋊36D10φ: C22×C4/C22 → C22 ⊆ Aut C2080C20.123(C2^2xC4)320,628
C20.124(C22×C4) = C4○D20⋊10C4φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.124(C2^2xC4)320,629
C20.125(C22×C4) = C4.(C2×D20)φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.125(C2^2xC4)320,631
C20.126(C22×C4) = C2×C20.53D4φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.126(C2^2xC4)320,750
C20.127(C22×C4) = C23.Dic10φ: C22×C4/C22 → C22 ⊆ Aut C20804C20.127(C2^2xC4)320,751
C20.128(C22×C4) = C2×D20⋊7C4φ: C22×C4/C22 → C22 ⊆ Aut C2080C20.128(C2^2xC4)320,765
C20.129(C22×C4) = C23.20D20φ: C22×C4/C22 → C22 ⊆ Aut C20804C20.129(C2^2xC4)320,766
C20.130(C22×C4) = D8×Dic5φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.130(C2^2xC4)320,776
C20.131(C22×C4) = D8⋊Dic5φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.131(C2^2xC4)320,779
C20.132(C22×C4) = SD16×Dic5φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.132(C2^2xC4)320,788
C20.133(C22×C4) = SD16⋊Dic5φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.133(C2^2xC4)320,791
C20.134(C22×C4) = Q16×Dic5φ: C22×C4/C22 → C22 ⊆ Aut C20320C20.134(C2^2xC4)320,810
C20.135(C22×C4) = Q16⋊Dic5φ: C22×C4/C22 → C22 ⊆ Aut C20320C20.135(C2^2xC4)320,811
C20.136(C22×C4) = D8⋊5Dic5φ: C22×C4/C22 → C22 ⊆ Aut C20804C20.136(C2^2xC4)320,823
C20.137(C22×C4) = D8⋊4Dic5φ: C22×C4/C22 → C22 ⊆ Aut C20804C20.137(C2^2xC4)320,824
C20.138(C22×C4) = C2×D4⋊Dic5φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.138(C2^2xC4)320,841
C20.139(C22×C4) = (D4×C10)⋊18C4φ: C22×C4/C22 → C22 ⊆ Aut C2080C20.139(C2^2xC4)320,842
C20.140(C22×C4) = C2×Q8⋊Dic5φ: C22×C4/C22 → C22 ⊆ Aut C20320C20.140(C2^2xC4)320,851
C20.141(C22×C4) = (Q8×C10)⋊16C4φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.141(C2^2xC4)320,852
C20.142(C22×C4) = C4○D4⋊Dic5φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.142(C2^2xC4)320,859
C20.143(C22×C4) = C20.(C2×D4)φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.143(C2^2xC4)320,860
C20.144(C22×C4) = C2×D4⋊2Dic5φ: C22×C4/C22 → C22 ⊆ Aut C2080C20.144(C2^2xC4)320,862
C20.145(C22×C4) = (D4×C10)⋊21C4φ: C22×C4/C22 → C22 ⊆ Aut C20804C20.145(C2^2xC4)320,863
C20.146(C22×C4) = C2×Dic5⋊3Q8φ: C22×C4/C22 → C22 ⊆ Aut C20320C20.146(C2^2xC4)320,1168
C20.147(C22×C4) = C2×C4⋊C4⋊7D5φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.147(C2^2xC4)320,1174
C20.148(C22×C4) = C10.82+ 1+4φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.148(C2^2xC4)320,1176
C20.149(C22×C4) = C42.91D10φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.149(C2^2xC4)320,1195
C20.150(C22×C4) = C2×D5×M4(2)φ: C22×C4/C22 → C22 ⊆ Aut C2080C20.150(C2^2xC4)320,1415
C20.151(C22×C4) = C2×D20.2C4φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.151(C2^2xC4)320,1416
C20.152(C22×C4) = C40.47C23φ: C22×C4/C22 → C22 ⊆ Aut C20804C20.152(C2^2xC4)320,1417
C20.153(C22×C4) = C24.38D10φ: C22×C4/C22 → C22 ⊆ Aut C2080C20.153(C2^2xC4)320,1470
C20.154(C22×C4) = C2×Q8×Dic5φ: C22×C4/C22 → C22 ⊆ Aut C20320C20.154(C2^2xC4)320,1483
C20.155(C22×C4) = C10.422- 1+4φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.155(C2^2xC4)320,1484
C20.156(C22×C4) = C2×D4.Dic5φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.156(C2^2xC4)320,1490
C20.157(C22×C4) = C20.76C24φ: C22×C4/C22 → C22 ⊆ Aut C20804C20.157(C2^2xC4)320,1491
C20.158(C22×C4) = C4○D4×Dic5φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.158(C2^2xC4)320,1498
C20.159(C22×C4) = C10.1062- 1+4φ: C22×C4/C22 → C22 ⊆ Aut C20160C20.159(C2^2xC4)320,1499
C20.160(C22×C4) = C4×C40⋊C2φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.160(C2^2xC4)320,318
C20.161(C22×C4) = C4×D40φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.161(C2^2xC4)320,319
C20.162(C22×C4) = C4×Dic20φ: C22×C4/C2×C4 → C2 ⊆ Aut C20320C20.162(C2^2xC4)320,325
C20.163(C22×C4) = D40⋊17C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20802C20.163(C2^2xC4)320,327
C20.164(C22×C4) = C42.16D10φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.164(C2^2xC4)320,337
C20.165(C22×C4) = D40⋊9C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.165(C2^2xC4)320,338
C20.166(C22×C4) = Dic20⋊9C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20320C20.166(C2^2xC4)320,343
C20.167(C22×C4) = D40⋊10C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20804C20.167(C2^2xC4)320,344
C20.168(C22×C4) = C2×D20⋊4C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C2080C20.168(C2^2xC4)320,554
C20.169(C22×C4) = C42⋊4D10φ: C22×C4/C2×C4 → C2 ⊆ Aut C20804C20.169(C2^2xC4)320,632
C20.170(C22×C4) = C2×C20.44D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20320C20.170(C2^2xC4)320,730
C20.171(C22×C4) = C2×D20⋊5C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.171(C2^2xC4)320,739
C20.172(C22×C4) = C23.23D20φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.172(C2^2xC4)320,740
C20.173(C22×C4) = C23.46D20φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.173(C2^2xC4)320,747
C20.174(C22×C4) = C23.48D20φ: C22×C4/C2×C4 → C2 ⊆ Aut C2080C20.174(C2^2xC4)320,758
C20.175(C22×C4) = C23.49D20φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.175(C2^2xC4)320,760
C20.176(C22×C4) = C2×C4×Dic10φ: C22×C4/C2×C4 → C2 ⊆ Aut C20320C20.176(C2^2xC4)320,1139
C20.177(C22×C4) = C4×C4○D20φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.177(C2^2xC4)320,1146
C20.178(C22×C4) = C42.87D10φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.178(C2^2xC4)320,1188
C20.179(C22×C4) = C42⋊7D10φ: C22×C4/C2×C4 → C2 ⊆ Aut C2080C20.179(C2^2xC4)320,1193
C20.180(C22×C4) = C2×D20.3C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.180(C2^2xC4)320,1410
C20.181(C22×C4) = D5×C4×C8φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.181(C2^2xC4)320,311
C20.182(C22×C4) = C4×C8⋊D5φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.182(C2^2xC4)320,314
C20.183(C22×C4) = D10.5C42φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.183(C2^2xC4)320,316
C20.184(C22×C4) = D5×C8⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.184(C2^2xC4)320,331
C20.185(C22×C4) = D10.6C42φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.185(C2^2xC4)320,334
C20.186(C22×C4) = D10.7C42φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.186(C2^2xC4)320,335
C20.187(C22×C4) = D5×C2×C16φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.187(C2^2xC4)320,526
C20.188(C22×C4) = C2×C80⋊C2φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.188(C2^2xC4)320,527
C20.189(C22×C4) = D20.6C8φ: C22×C4/C2×C4 → C2 ⊆ Aut C201602C20.189(C2^2xC4)320,528
C20.190(C22×C4) = D5×M5(2)φ: C22×C4/C2×C4 → C2 ⊆ Aut C20804C20.190(C2^2xC4)320,533
C20.191(C22×C4) = D20.5C8φ: C22×C4/C2×C4 → C2 ⊆ Aut C201604C20.191(C2^2xC4)320,534
C20.192(C22×C4) = C2×C4×C5⋊2C8φ: C22×C4/C2×C4 → C2 ⊆ Aut C20320C20.192(C2^2xC4)320,547
C20.193(C22×C4) = C2×C42.D5φ: C22×C4/C2×C4 → C2 ⊆ Aut C20320C20.193(C2^2xC4)320,548
C20.194(C22×C4) = C4×C4.Dic5φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.194(C2^2xC4)320,549
C20.195(C22×C4) = C20.35C42φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.195(C2^2xC4)320,624
C20.196(C22×C4) = C2×C8×Dic5φ: C22×C4/C2×C4 → C2 ⊆ Aut C20320C20.196(C2^2xC4)320,725
C20.197(C22×C4) = C2×C40⋊8C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20320C20.197(C2^2xC4)320,727
C20.198(C22×C4) = C20.42C42φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.198(C2^2xC4)320,728
C20.199(C22×C4) = M4(2)×Dic5φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.199(C2^2xC4)320,744
C20.200(C22×C4) = C2×C42⋊D5φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.200(C2^2xC4)320,1144
C20.201(C22×C4) = D5×C42⋊C2φ: C22×C4/C2×C4 → C2 ⊆ Aut C2080C20.201(C2^2xC4)320,1192
C20.202(C22×C4) = C42.188D10φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.202(C2^2xC4)320,1194
C20.203(C22×C4) = D5×C22×C8φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.203(C2^2xC4)320,1408
C20.204(C22×C4) = C22×C8⋊D5φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.204(C2^2xC4)320,1409
C20.205(C22×C4) = C10×D4⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.205(C2^2xC4)320,915
C20.206(C22×C4) = C10×Q8⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20320C20.206(C2^2xC4)320,916
C20.207(C22×C4) = C5×C23.24D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.207(C2^2xC4)320,917
C20.208(C22×C4) = C5×C23.36D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.208(C2^2xC4)320,918
C20.209(C22×C4) = C5×C23.37D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C2080C20.209(C2^2xC4)320,919
C20.210(C22×C4) = C5×C23.38D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.210(C2^2xC4)320,920
C20.211(C22×C4) = C10×C4≀C2φ: C22×C4/C2×C4 → C2 ⊆ Aut C2080C20.211(C2^2xC4)320,921
C20.212(C22×C4) = C5×C42⋊C22φ: C22×C4/C2×C4 → C2 ⊆ Aut C20804C20.212(C2^2xC4)320,922
C20.213(C22×C4) = D8×C20φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.213(C2^2xC4)320,938
C20.214(C22×C4) = SD16×C20φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.214(C2^2xC4)320,939
C20.215(C22×C4) = Q16×C20φ: C22×C4/C2×C4 → C2 ⊆ Aut C20320C20.215(C2^2xC4)320,940
C20.216(C22×C4) = C5×SD16⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.216(C2^2xC4)320,941
C20.217(C22×C4) = C5×Q16⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20320C20.217(C2^2xC4)320,942
C20.218(C22×C4) = C5×D8⋊C4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.218(C2^2xC4)320,943
C20.219(C22×C4) = C5×C8○D8φ: C22×C4/C2×C4 → C2 ⊆ Aut C20802C20.219(C2^2xC4)320,944
C20.220(C22×C4) = C5×C8.26D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20804C20.220(C2^2xC4)320,945
C20.221(C22×C4) = Q8×C2×C20φ: C22×C4/C2×C4 → C2 ⊆ Aut C20320C20.221(C2^2xC4)320,1518
C20.222(C22×C4) = C4○D4×C20φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.222(C2^2xC4)320,1519
C20.223(C22×C4) = C5×C22.11C24φ: C22×C4/C2×C4 → C2 ⊆ Aut C2080C20.223(C2^2xC4)320,1520
C20.224(C22×C4) = C5×C23.32C23φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.224(C2^2xC4)320,1521
C20.225(C22×C4) = C5×C23.33C23φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.225(C2^2xC4)320,1522
C20.226(C22×C4) = C10×C8○D4φ: C22×C4/C2×C4 → C2 ⊆ Aut C20160C20.226(C2^2xC4)320,1569
C20.227(C22×C4) = C5×Q8○M4(2)φ: C22×C4/C2×C4 → C2 ⊆ Aut C20804C20.227(C2^2xC4)320,1570
C20.228(C22×C4) = C2×C40⋊6C4φ: C22×C4/C23 → C2 ⊆ Aut C20320C20.228(C2^2xC4)320,731
C20.229(C22×C4) = C2×C40⋊5C4φ: C22×C4/C23 → C2 ⊆ Aut C20320C20.229(C2^2xC4)320,732
C20.230(C22×C4) = C23.22D20φ: C22×C4/C23 → C2 ⊆ Aut C20160C20.230(C2^2xC4)320,733
C20.231(C22×C4) = C2×C40.6C4φ: C22×C4/C23 → C2 ⊆ Aut C20160C20.231(C2^2xC4)320,734
C20.232(C22×C4) = C23.47D20φ: C22×C4/C23 → C2 ⊆ Aut C20160C20.232(C2^2xC4)320,748
C20.233(C22×C4) = M4(2).Dic5φ: C22×C4/C23 → C2 ⊆ Aut C20804C20.233(C2^2xC4)320,752
C20.234(C22×C4) = C22×C5⋊2C16φ: C22×C4/C23 → C2 ⊆ Aut C20320C20.234(C2^2xC4)320,723
C20.235(C22×C4) = C2×C20.4C8φ: C22×C4/C23 → C2 ⊆ Aut C20160C20.235(C2^2xC4)320,724
C20.236(C22×C4) = C20.37C42φ: C22×C4/C23 → C2 ⊆ Aut C20160C20.236(C2^2xC4)320,749
C20.237(C22×C4) = C40.70C23φ: C22×C4/C23 → C2 ⊆ Aut C201604C20.237(C2^2xC4)320,767
C20.238(C22×C4) = C23×C5⋊2C8φ: C22×C4/C23 → C2 ⊆ Aut C20320C20.238(C2^2xC4)320,1452
C20.239(C22×C4) = C22×C4.Dic5φ: C22×C4/C23 → C2 ⊆ Aut C20160C20.239(C2^2xC4)320,1453
C20.240(C22×C4) = C2×C23.21D10φ: C22×C4/C23 → C2 ⊆ Aut C20160C20.240(C2^2xC4)320,1458
C20.241(C22×C4) = C10×C4.Q8φ: C22×C4/C23 → C2 ⊆ Aut C20320C20.241(C2^2xC4)320,926
C20.242(C22×C4) = C10×C2.D8φ: C22×C4/C23 → C2 ⊆ Aut C20320C20.242(C2^2xC4)320,927
C20.243(C22×C4) = C5×C23.25D4φ: C22×C4/C23 → C2 ⊆ Aut C20160C20.243(C2^2xC4)320,928
C20.244(C22×C4) = C5×M4(2)⋊C4φ: C22×C4/C23 → C2 ⊆ Aut C20160C20.244(C2^2xC4)320,929
C20.245(C22×C4) = C10×C8.C4φ: C22×C4/C23 → C2 ⊆ Aut C20160C20.245(C2^2xC4)320,930
C20.246(C22×C4) = C5×M4(2).C4φ: C22×C4/C23 → C2 ⊆ Aut C20804C20.246(C2^2xC4)320,931
C20.247(C22×C4) = C10×C42⋊C2φ: C22×C4/C23 → C2 ⊆ Aut C20160C20.247(C2^2xC4)320,1516
C20.248(C22×C4) = M4(2)×C2×C10φ: C22×C4/C23 → C2 ⊆ Aut C20160C20.248(C2^2xC4)320,1568
C20.249(C22×C4) = C10×C8⋊C4central extension (φ=1)320C20.249(C2^2xC4)320,904
C20.250(C22×C4) = M4(2)×C20central extension (φ=1)160C20.250(C2^2xC4)320,905
C20.251(C22×C4) = C5×C8○2M4(2)central extension (φ=1)160C20.251(C2^2xC4)320,906
C20.252(C22×C4) = C10×M5(2)central extension (φ=1)160C20.252(C2^2xC4)320,1004
C20.253(C22×C4) = C5×D4○C16central extension (φ=1)1602C20.253(C2^2xC4)320,1005

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