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Extensions 1→N→G→Q→1 with N=C40 and Q=C2×C4

Direct product G=N×Q with N=C40 and Q=C2×C4
dρLabelID
C2×C4×C40320C2xC4xC40320,903

Semidirect products G=N:Q with N=C40 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C40⋊1(C2×C4) = D40⋊C4φ: C2×C4/C1 → C2×C4 ⊆ Aut C40408+C40:1(C2xC4)320,1069
C40⋊2(C2×C4) = D8×F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C40408+C40:2(C2xC4)320,1068
C40⋊3(C2×C4) = SD16⋊F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C40408C40:3(C2xC4)320,1073
C40⋊4(C2×C4) = SD16×F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C40408C40:4(C2xC4)320,1072
C40⋊5(C2×C4) = M4(2)⋊1F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C40408C40:5(C2xC4)320,1065
C40⋊6(C2×C4) = M4(2)×F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C40408C40:6(C2xC4)320,1064
C40⋊7(C2×C4) = C2×D5.D8φ: C2×C4/C2 → C4 ⊆ Aut C4080C40:7(C2xC4)320,1058
C40⋊8(C2×C4) = C2×C40⋊C4φ: C2×C4/C2 → C4 ⊆ Aut C4080C40:8(C2xC4)320,1057
C40⋊9(C2×C4) = C2×C8×F5φ: C2×C4/C2 → C4 ⊆ Aut C4080C40:9(C2xC4)320,1054
C40⋊10(C2×C4) = C2×C8⋊F5φ: C2×C4/C2 → C4 ⊆ Aut C4080C40:10(C2xC4)320,1055
C40⋊11(C2×C4) = C42.16D10φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:11(C2xC4)320,337
C40⋊12(C2×C4) = D40⋊9C4φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:12(C2xC4)320,338
C40⋊13(C2×C4) = C23.47D20φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:13(C2xC4)320,748
C40⋊14(C2×C4) = D40⋊12C4φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:14(C2xC4)320,499
C40⋊15(C2×C4) = D5×C2.D8φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:15(C2xC4)320,506
C40⋊16(C2×C4) = D8×Dic5φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:16(C2xC4)320,776
C40⋊17(C2×C4) = C8⋊(C4×D5)φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:17(C2xC4)320,488
C40⋊18(C2×C4) = D40⋊15C4φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:18(C2xC4)320,496
C40⋊19(C2×C4) = SD16⋊Dic5φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:19(C2xC4)320,791
C40⋊20(C2×C4) = C40⋊20(C2×C4)φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:20(C2xC4)320,508
C40⋊21(C2×C4) = C40⋊21(C2×C4)φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:21(C2xC4)320,516
C40⋊22(C2×C4) = D8⋊Dic5φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:22(C2xC4)320,779
C40⋊23(C2×C4) = Dic5⋊8SD16φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:23(C2xC4)320,479
C40⋊24(C2×C4) = D5×C4.Q8φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:24(C2xC4)320,486
C40⋊25(C2×C4) = SD16×Dic5φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:25(C2xC4)320,788
C40⋊26(C2×C4) = D5×C8⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:26(C2xC4)320,331
C40⋊27(C2×C4) = D10.6C42φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:27(C2xC4)320,334
C40⋊28(C2×C4) = M4(2)×Dic5φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:28(C2xC4)320,744
C40⋊29(C2×C4) = C5×M4(2)⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:29(C2xC4)320,929
C40⋊30(C2×C4) = C5×SD16⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:30(C2xC4)320,941
C40⋊31(C2×C4) = C5×D8⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C40160C40:31(C2xC4)320,943
C40⋊32(C2×C4) = C4×D40φ: C2×C4/C4 → C2 ⊆ Aut C40160C40:32(C2xC4)320,319
C40⋊33(C2×C4) = C4×C40⋊C2φ: C2×C4/C4 → C2 ⊆ Aut C40160C40:33(C2xC4)320,318
C40⋊34(C2×C4) = D5×C4×C8φ: C2×C4/C4 → C2 ⊆ Aut C40160C40:34(C2xC4)320,311
C40⋊35(C2×C4) = C4×C8⋊D5φ: C2×C4/C4 → C2 ⊆ Aut C40160C40:35(C2xC4)320,314
C40⋊36(C2×C4) = D8×C20φ: C2×C4/C4 → C2 ⊆ Aut C40160C40:36(C2xC4)320,938
C40⋊37(C2×C4) = SD16×C20φ: C2×C4/C4 → C2 ⊆ Aut C40160C40:37(C2xC4)320,939
C40⋊38(C2×C4) = M4(2)×C20φ: C2×C4/C4 → C2 ⊆ Aut C40160C40:38(C2xC4)320,905
C40⋊39(C2×C4) = C2×C40⋊5C4φ: C2×C4/C22 → C2 ⊆ Aut C40320C40:39(C2xC4)320,732
C40⋊40(C2×C4) = C2×C40⋊6C4φ: C2×C4/C22 → C2 ⊆ Aut C40320C40:40(C2xC4)320,731
C40⋊41(C2×C4) = C2×C8×Dic5φ: C2×C4/C22 → C2 ⊆ Aut C40320C40:41(C2xC4)320,725
C40⋊42(C2×C4) = C2×C40⋊8C4φ: C2×C4/C22 → C2 ⊆ Aut C40320C40:42(C2xC4)320,727
C40⋊43(C2×C4) = C10×C2.D8φ: C2×C4/C22 → C2 ⊆ Aut C40320C40:43(C2xC4)320,927
C40⋊44(C2×C4) = C10×C4.Q8φ: C2×C4/C22 → C2 ⊆ Aut C40320C40:44(C2xC4)320,926
C40⋊45(C2×C4) = C10×C8⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C40320C40:45(C2xC4)320,904

Non-split extensions G=N.Q with N=C40 and Q=C2×C4
extensionφ:Q→Aut NdρLabelID
C40.1(C2×C4) = D10.D8φ: C2×C4/C1 → C2×C4 ⊆ Aut C40808-C40.1(C2xC4)320,241
C40.2(C2×C4) = D40.C4φ: C2×C4/C1 → C2×C4 ⊆ Aut C40808+C40.2(C2xC4)320,244
C40.3(C2×C4) = D40⋊1C4φ: C2×C4/C1 → C2×C4 ⊆ Aut C40808+C40.3(C2xC4)320,245
C40.4(C2×C4) = Dic20.C4φ: C2×C4/C1 → C2×C4 ⊆ Aut C401608-C40.4(C2xC4)320,248
C40.5(C2×C4) = D8⋊F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C40808-C40.5(C2xC4)320,1071
C40.6(C2×C4) = Dic20⋊C4φ: C2×C4/C1 → C2×C4 ⊆ Aut C40808-C40.6(C2xC4)320,1077
C40.7(C2×C4) = Q16⋊F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C40808+C40.7(C2xC4)320,1079
C40.8(C2×C4) = D5.D16φ: C2×C4/C1 → C2×C4 ⊆ Aut C40808+C40.8(C2xC4)320,242
C40.9(C2×C4) = D8.F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C401608-C40.9(C2xC4)320,243
C40.10(C2×C4) = D5.Q32φ: C2×C4/C1 → C2×C4 ⊆ Aut C40808-C40.10(C2xC4)320,246
C40.11(C2×C4) = Q16.F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C401608+C40.11(C2xC4)320,247
C40.12(C2×C4) = D8⋊5F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C40808-C40.12(C2xC4)320,1070
C40.13(C2×C4) = Q16×F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C40808-C40.13(C2xC4)320,1076
C40.14(C2×C4) = Q16⋊5F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C40808+C40.14(C2xC4)320,1078
C40.15(C2×C4) = SD16⋊2F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C40808C40.15(C2xC4)320,1075
C40.16(C2×C4) = SD16⋊3F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C40808C40.16(C2xC4)320,1074
C40.17(C2×C4) = M4(2).1F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C40808C40.17(C2xC4)320,1067
C40.18(C2×C4) = Dic10.C8φ: C2×C4/C1 → C2×C4 ⊆ Aut C401608C40.18(C2xC4)320,1063
C40.19(C2×C4) = M4(2)⋊5F5φ: C2×C4/C1 → C2×C4 ⊆ Aut C40808C40.19(C2xC4)320,1066
C40.20(C2×C4) = C80⋊2C4φ: C2×C4/C2 → C4 ⊆ Aut C40804C40.20(C2xC4)320,187
C40.21(C2×C4) = C80⋊3C4φ: C2×C4/C2 → C4 ⊆ Aut C40804C40.21(C2xC4)320,188
C40.22(C2×C4) = C16.F5φ: C2×C4/C2 → C4 ⊆ Aut C401604C40.22(C2xC4)320,189
C40.23(C2×C4) = C80.2C4φ: C2×C4/C2 → C4 ⊆ Aut C401604C40.23(C2xC4)320,190
C40.24(C2×C4) = (C2×C8)⋊6F5φ: C2×C4/C2 → C4 ⊆ Aut C40804C40.24(C2xC4)320,1059
C40.25(C2×C4) = C2×D10.Q8φ: C2×C4/C2 → C4 ⊆ Aut C40160C40.25(C2xC4)320,1061
C40.26(C2×C4) = (C8×D5).C4φ: C2×C4/C2 → C4 ⊆ Aut C40804C40.26(C2xC4)320,1062
C40.27(C2×C4) = C80⋊4C4φ: C2×C4/C2 → C4 ⊆ Aut C40804C40.27(C2xC4)320,185
C40.28(C2×C4) = C80⋊5C4φ: C2×C4/C2 → C4 ⊆ Aut C40804C40.28(C2xC4)320,186
C40.29(C2×C4) = C2×C40.C4φ: C2×C4/C2 → C4 ⊆ Aut C40160C40.29(C2xC4)320,1060
C40.30(C2×C4) = D5⋊C32φ: C2×C4/C2 → C4 ⊆ Aut C401604C40.30(C2xC4)320,179
C40.31(C2×C4) = C80.C4φ: C2×C4/C2 → C4 ⊆ Aut C401604C40.31(C2xC4)320,180
C40.32(C2×C4) = C16×F5φ: C2×C4/C2 → C4 ⊆ Aut C40804C40.32(C2xC4)320,181
C40.33(C2×C4) = C16⋊7F5φ: C2×C4/C2 → C4 ⊆ Aut C40804C40.33(C2xC4)320,182
C40.34(C2×C4) = C16⋊F5φ: C2×C4/C2 → C4 ⊆ Aut C40804C40.34(C2xC4)320,183
C40.35(C2×C4) = C16⋊4F5φ: C2×C4/C2 → C4 ⊆ Aut C40804C40.35(C2xC4)320,184
C40.36(C2×C4) = C2×C5⋊C32φ: C2×C4/C2 → C4 ⊆ Aut C40320C40.36(C2xC4)320,214
C40.37(C2×C4) = C5⋊M6(2)φ: C2×C4/C2 → C4 ⊆ Aut C401604C40.37(C2xC4)320,215
C40.38(C2×C4) = C2×D5⋊C16φ: C2×C4/C2 → C4 ⊆ Aut C40160C40.38(C2xC4)320,1051
C40.39(C2×C4) = C2×C8.F5φ: C2×C4/C2 → C4 ⊆ Aut C40160C40.39(C2xC4)320,1052
C40.40(C2×C4) = D5⋊M5(2)φ: C2×C4/C2 → C4 ⊆ Aut C40804C40.40(C2xC4)320,1053
C40.41(C2×C4) = C20.12C42φ: C2×C4/C2 → C4 ⊆ Aut C40804C40.41(C2xC4)320,1056
C40.42(C2×C4) = D40.4C4φ: C2×C4/C2 → C22 ⊆ Aut C40804+C40.42(C2xC4)320,74
C40.43(C2×C4) = C20.4D8φ: C2×C4/C2 → C22 ⊆ Aut C401604-C40.43(C2xC4)320,75
C40.44(C2×C4) = D40⋊8C4φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.44(C2xC4)320,76
C40.45(C2×C4) = Dic20⋊9C4φ: C2×C4/C2 → C22 ⊆ Aut C40320C40.45(C2xC4)320,343
C40.46(C2×C4) = D40⋊10C4φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.46(C2xC4)320,344
C40.47(C2×C4) = M4(2).Dic5φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.47(C2xC4)320,752
C40.48(C2×C4) = C40.2Q8φ: C2×C4/C2 → C22 ⊆ Aut C40320C40.48(C2xC4)320,47
C40.49(C2×C4) = C10.SD32φ: C2×C4/C2 → C22 ⊆ Aut C40320C40.49(C2xC4)320,48
C40.50(C2×C4) = C40.5D4φ: C2×C4/C2 → C22 ⊆ Aut C40160C40.50(C2xC4)320,49
C40.51(C2×C4) = C10.Q32φ: C2×C4/C2 → C22 ⊆ Aut C40320C40.51(C2xC4)320,50
C40.52(C2×C4) = C40.7Q8φ: C2×C4/C2 → C22 ⊆ Aut C401604C40.52(C2xC4)320,51
C40.53(C2×C4) = D40.5C4φ: C2×C4/C2 → C22 ⊆ Aut C401604C40.53(C2xC4)320,55
C40.54(C2×C4) = C10.D16φ: C2×C4/C2 → C22 ⊆ Aut C40160C40.54(C2xC4)320,120
C40.55(C2×C4) = C40.15D4φ: C2×C4/C2 → C22 ⊆ Aut C40320C40.55(C2xC4)320,122
C40.56(C2×C4) = C20.58D8φ: C2×C4/C2 → C22 ⊆ Aut C401604C40.56(C2xC4)320,125
C40.57(C2×C4) = Dic5⋊5Q16φ: C2×C4/C2 → C22 ⊆ Aut C40320C40.57(C2xC4)320,500
C40.58(C2×C4) = C8.27(C4×D5)φ: C2×C4/C2 → C22 ⊆ Aut C40160C40.58(C2xC4)320,507
C40.59(C2×C4) = D5×C8.C4φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.59(C2xC4)320,519
C40.60(C2×C4) = Q16×Dic5φ: C2×C4/C2 → C22 ⊆ Aut C40320C40.60(C2xC4)320,810
C40.61(C2×C4) = D8⋊5Dic5φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.61(C2xC4)320,823
C40.62(C2×C4) = D40⋊14C4φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.62(C2xC4)320,46
C40.63(C2×C4) = D40.6C4φ: C2×C4/C2 → C22 ⊆ Aut C40804+C40.63(C2xC4)320,53
C40.64(C2×C4) = C40.8D4φ: C2×C4/C2 → C22 ⊆ Aut C401604-C40.64(C2xC4)320,54
C40.65(C2×C4) = Dic20⋊15C4φ: C2×C4/C2 → C22 ⊆ Aut C40320C40.65(C2xC4)320,480
C40.66(C2×C4) = D8.Dic5φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.66(C2xC4)320,121
C40.67(C2×C4) = Q16.Dic5φ: C2×C4/C2 → C22 ⊆ Aut C401604C40.67(C2xC4)320,123
C40.68(C2×C4) = D8⋊2Dic5φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.68(C2xC4)320,124
C40.69(C2×C4) = M4(2).25D10φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.69(C2xC4)320,520
C40.70(C2×C4) = D40⋊16C4φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.70(C2xC4)320,521
C40.71(C2×C4) = Q16⋊Dic5φ: C2×C4/C2 → C22 ⊆ Aut C40320C40.71(C2xC4)320,811
C40.72(C2×C4) = D8⋊4Dic5φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.72(C2xC4)320,824
C40.73(C2×C4) = C8.Dic10φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.73(C2xC4)320,45
C40.74(C2×C4) = C40.6Q8φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.74(C2xC4)320,52
C40.75(C2×C4) = (C8×D5)⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C40160C40.75(C2xC4)320,487
C40.76(C2×C4) = D40⋊13C4φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.76(C2xC4)320,522
C40.77(C2×C4) = C20.45C42φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.77(C2xC4)320,24
C40.78(C2×C4) = D10.7C42φ: C2×C4/C2 → C22 ⊆ Aut C40160C40.78(C2xC4)320,335
C40.79(C2×C4) = D5×M5(2)φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.79(C2xC4)320,533
C40.80(C2×C4) = D20.5C8φ: C2×C4/C2 → C22 ⊆ Aut C401604C40.80(C2xC4)320,534
C40.81(C2×C4) = C20.37C42φ: C2×C4/C2 → C22 ⊆ Aut C40160C40.81(C2xC4)320,749
C40.82(C2×C4) = C40.70C23φ: C2×C4/C2 → C22 ⊆ Aut C401604C40.82(C2xC4)320,767
C40.83(C2×C4) = C5×D8⋊2C4φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.83(C2xC4)320,165
C40.84(C2×C4) = C5×M5(2)⋊C2φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.84(C2xC4)320,166
C40.85(C2×C4) = C5×C8.17D4φ: C2×C4/C2 → C22 ⊆ Aut C401604C40.85(C2xC4)320,167
C40.86(C2×C4) = C5×M4(2).C4φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.86(C2xC4)320,931
C40.87(C2×C4) = C5×Q16⋊C4φ: C2×C4/C2 → C22 ⊆ Aut C40320C40.87(C2xC4)320,942
C40.88(C2×C4) = C5×C8.26D4φ: C2×C4/C2 → C22 ⊆ Aut C40804C40.88(C2xC4)320,945
C40.89(C2×C4) = C40.78D4φ: C2×C4/C4 → C2 ⊆ Aut C40320C40.89(C2xC4)320,61
C40.90(C2×C4) = D40⋊7C4φ: C2×C4/C4 → C2 ⊆ Aut C40160C40.90(C2xC4)320,67
C40.91(C2×C4) = D40.3C4φ: C2×C4/C4 → C2 ⊆ Aut C401602C40.91(C2xC4)320,68
C40.92(C2×C4) = C4×Dic20φ: C2×C4/C4 → C2 ⊆ Aut C40320C40.92(C2xC4)320,325
C40.93(C2×C4) = D40⋊17C4φ: C2×C4/C4 → C2 ⊆ Aut C40802C40.93(C2xC4)320,327
C40.94(C2×C4) = D5×C32φ: C2×C4/C4 → C2 ⊆ Aut C401602C40.94(C2xC4)320,4
C40.95(C2×C4) = C32⋊D5φ: C2×C4/C4 → C2 ⊆ Aut C401602C40.95(C2xC4)320,5
C40.96(C2×C4) = C4×C5⋊2C16φ: C2×C4/C4 → C2 ⊆ Aut C40320C40.96(C2xC4)320,18
C40.97(C2×C4) = C40.10C8φ: C2×C4/C4 → C2 ⊆ Aut C40320C40.97(C2xC4)320,19
C40.98(C2×C4) = C16×Dic5φ: C2×C4/C4 → C2 ⊆ Aut C40320C40.98(C2xC4)320,58
C40.99(C2×C4) = C80⋊17C4φ: C2×C4/C4 → C2 ⊆ Aut C40320C40.99(C2xC4)320,60
C40.100(C2×C4) = D10.5C42φ: C2×C4/C4 → C2 ⊆ Aut C40160C40.100(C2xC4)320,316
C40.101(C2×C4) = D5×C2×C16φ: C2×C4/C4 → C2 ⊆ Aut C40160C40.101(C2xC4)320,526
C40.102(C2×C4) = C2×C80⋊C2φ: C2×C4/C4 → C2 ⊆ Aut C40160C40.102(C2xC4)320,527
C40.103(C2×C4) = D20.6C8φ: C2×C4/C4 → C2 ⊆ Aut C401602C40.103(C2xC4)320,528
C40.104(C2×C4) = C5×C2.D16φ: C2×C4/C4 → C2 ⊆ Aut C40160C40.104(C2xC4)320,162
C40.105(C2×C4) = C5×C2.Q32φ: C2×C4/C4 → C2 ⊆ Aut C40320C40.105(C2xC4)320,163
C40.106(C2×C4) = C5×D8.C4φ: C2×C4/C4 → C2 ⊆ Aut C401602C40.106(C2xC4)320,164
C40.107(C2×C4) = Q16×C20φ: C2×C4/C4 → C2 ⊆ Aut C40320C40.107(C2xC4)320,940
C40.108(C2×C4) = C5×C8○D8φ: C2×C4/C4 → C2 ⊆ Aut C40802C40.108(C2xC4)320,944
C40.109(C2×C4) = C5×D4○C16φ: C2×C4/C4 → C2 ⊆ Aut C401602C40.109(C2xC4)320,1005
C40.110(C2×C4) = C80⋊13C4φ: C2×C4/C22 → C2 ⊆ Aut C40320C40.110(C2xC4)320,62
C40.111(C2×C4) = C80⋊14C4φ: C2×C4/C22 → C2 ⊆ Aut C40320C40.111(C2xC4)320,63
C40.112(C2×C4) = C80.6C4φ: C2×C4/C22 → C2 ⊆ Aut C401602C40.112(C2xC4)320,64
C40.113(C2×C4) = C40.Q8φ: C2×C4/C22 → C2 ⊆ Aut C40804C40.113(C2xC4)320,71
C40.114(C2×C4) = C23.22D20φ: C2×C4/C22 → C2 ⊆ Aut C40160C40.114(C2xC4)320,733
C40.115(C2×C4) = C2×C40.6C4φ: C2×C4/C22 → C2 ⊆ Aut C40160C40.115(C2xC4)320,734
C40.116(C2×C4) = C2×C5⋊2C32φ: C2×C4/C22 → C2 ⊆ Aut C40320C40.116(C2xC4)320,56
C40.117(C2×C4) = C80.9C4φ: C2×C4/C22 → C2 ⊆ Aut C401602C40.117(C2xC4)320,57
C40.118(C2×C4) = C80⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C40804C40.118(C2xC4)320,70
C40.119(C2×C4) = C22×C5⋊2C16φ: C2×C4/C22 → C2 ⊆ Aut C40320C40.119(C2xC4)320,723
C40.120(C2×C4) = C2×C20.4C8φ: C2×C4/C22 → C2 ⊆ Aut C40160C40.120(C2xC4)320,724
C40.121(C2×C4) = C20.42C42φ: C2×C4/C22 → C2 ⊆ Aut C40160C40.121(C2xC4)320,728
C40.122(C2×C4) = C5×C16⋊3C4φ: C2×C4/C22 → C2 ⊆ Aut C40320C40.122(C2xC4)320,171
C40.123(C2×C4) = C5×C16⋊4C4φ: C2×C4/C22 → C2 ⊆ Aut C40320C40.123(C2xC4)320,172
C40.124(C2×C4) = C5×C8.4Q8φ: C2×C4/C22 → C2 ⊆ Aut C401602C40.124(C2xC4)320,173
C40.125(C2×C4) = C5×C23.25D4φ: C2×C4/C22 → C2 ⊆ Aut C40160C40.125(C2xC4)320,928
C40.126(C2×C4) = C10×C8.C4φ: C2×C4/C22 → C2 ⊆ Aut C40160C40.126(C2xC4)320,930
C40.127(C2×C4) = C5×C8.Q8φ: C2×C4/C22 → C2 ⊆ Aut C40804C40.127(C2xC4)320,170
C40.128(C2×C4) = C5×C16⋊C4φ: C2×C4/C22 → C2 ⊆ Aut C40804C40.128(C2xC4)320,152
C40.129(C2×C4) = C5×C8○2M4(2)φ: C2×C4/C22 → C2 ⊆ Aut C40160C40.129(C2xC4)320,906
C40.130(C2×C4) = C10×M5(2)φ: C2×C4/C22 → C2 ⊆ Aut C40160C40.130(C2xC4)320,1004
C40.131(C2×C4) = C5×C16⋊5C4central extension (φ=1)320C40.131(C2xC4)320,151
C40.132(C2×C4) = C5×M6(2)central extension (φ=1)1602C40.132(C2xC4)320,175

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