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Extensions 1→N→G→Q→1 with N=C2×C10 and Q=C22×S3

Direct product G=N×Q with N=C2×C10 and Q=C22×S3
dρLabelID
S3×C23×C10240S3xC2^3xC10480,1211

Semidirect products G=N:Q with N=C2×C10 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
(C2×C10)⋊(C22×S3) = C2×D5×S4φ: C22×S3/C2 → D6 ⊆ Aut C2×C10306+(C2xC10):(C2^2xS3)480,1193
(C2×C10)⋊2(C22×S3) = C2×C10×S4φ: C22×S3/C22 → S3 ⊆ Aut C2×C1060(C2xC10):2(C2^2xS3)480,1198
(C2×C10)⋊3(C22×S3) = C22×C5⋊S4φ: C22×S3/C22 → S3 ⊆ Aut C2×C1060(C2xC10):3(C2^2xS3)480,1199
(C2×C10)⋊4(C22×S3) = S3×D4×D5φ: C22×S3/S3 → C22 ⊆ Aut C2×C10608+(C2xC10):4(C2^2xS3)480,1097
(C2×C10)⋊5(C22×S3) = C2×D5×C3⋊D4φ: C22×S3/C6 → C22 ⊆ Aut C2×C10120(C2xC10):5(C2^2xS3)480,1122
(C2×C10)⋊6(C22×S3) = C2×D10⋊D6φ: C22×S3/C6 → C22 ⊆ Aut C2×C10120(C2xC10):6(C2^2xS3)480,1124
(C2×C10)⋊7(C22×S3) = C2×D4×D15φ: C22×S3/C6 → C22 ⊆ Aut C2×C10120(C2xC10):7(C2^2xS3)480,1169
(C2×C10)⋊8(C22×S3) = S3×D4×C10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10):8(C2^2xS3)480,1154
(C2×C10)⋊9(C22×S3) = C2×S3×C5⋊D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10):9(C2^2xS3)480,1123
(C2×C10)⋊10(C22×S3) = S3×C23×D5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10):10(C2^2xS3)480,1207
(C2×C10)⋊11(C22×S3) = C2×C10×C3⋊D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10):11(C2^2xS3)480,1164
(C2×C10)⋊12(C22×S3) = C22×C15⋊7D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10):12(C2^2xS3)480,1179
(C2×C10)⋊13(C22×S3) = C24×D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10):13(C2^2xS3)480,1212

Non-split extensions G=N.Q with N=C2×C10 and Q=C22×S3
extensionφ:Q→Aut NdρLabelID
(C2×C10).1(C22×S3) = C15⋊2- 1+4φ: C22×S3/S3 → C22 ⊆ Aut C2×C102408-(C2xC10).1(C2^2xS3)480,1096
(C2×C10).2(C22×S3) = D5×D4⋊2S3φ: C22×S3/S3 → C22 ⊆ Aut C2×C101208-(C2xC10).2(C2^2xS3)480,1098
(C2×C10).3(C22×S3) = S3×D4⋊2D5φ: C22×S3/S3 → C22 ⊆ Aut C2×C101208-(C2xC10).3(C2^2xS3)480,1099
(C2×C10).4(C22×S3) = D30.C23φ: C22×S3/S3 → C22 ⊆ Aut C2×C101208+(C2xC10).4(C2^2xS3)480,1100
(C2×C10).5(C22×S3) = D20⋊13D6φ: C22×S3/S3 → C22 ⊆ Aut C2×C101208-(C2xC10).5(C2^2xS3)480,1101
(C2×C10).6(C22×S3) = D20⋊14D6φ: C22×S3/S3 → C22 ⊆ Aut C2×C101208+(C2xC10).6(C2^2xS3)480,1102
(C2×C10).7(C22×S3) = D12⋊14D10φ: C22×S3/S3 → C22 ⊆ Aut C2×C101208+(C2xC10).7(C2^2xS3)480,1103
(C2×C10).8(C22×S3) = D20.39D6φ: C22×S3/C6 → C22 ⊆ Aut C2×C102404-(C2xC10).8(C2^2xS3)480,1077
(C2×C10).9(C22×S3) = C30.C24φ: C22×S3/C6 → C22 ⊆ Aut C2×C102404(C2xC10).9(C2^2xS3)480,1080
(C2×C10).10(C22×S3) = D5×C4○D12φ: C22×S3/C6 → C22 ⊆ Aut C2×C101204(C2xC10).10(C2^2xS3)480,1090
(C2×C10).11(C22×S3) = D20⋊24D6φ: C22×S3/C6 → C22 ⊆ Aut C2×C101204(C2xC10).11(C2^2xS3)480,1092
(C2×C10).12(C22×S3) = D20⋊25D6φ: C22×S3/C6 → C22 ⊆ Aut C2×C101204(C2xC10).12(C2^2xS3)480,1093
(C2×C10).13(C22×S3) = D20⋊29D6φ: C22×S3/C6 → C22 ⊆ Aut C2×C101204+(C2xC10).13(C2^2xS3)480,1095
(C2×C10).14(C22×S3) = C2×C30.C23φ: C22×S3/C6 → C22 ⊆ Aut C2×C10240(C2xC10).14(C2^2xS3)480,1114
(C2×C10).15(C22×S3) = C2×Dic3.D10φ: C22×S3/C6 → C22 ⊆ Aut C2×C10240(C2xC10).15(C2^2xS3)480,1116
(C2×C10).16(C22×S3) = C15⋊2+ 1+4φ: C22×S3/C6 → C22 ⊆ Aut C2×C101204(C2xC10).16(C2^2xS3)480,1125
(C2×C10).17(C22×S3) = D4⋊6D30φ: C22×S3/C6 → C22 ⊆ Aut C2×C101204(C2xC10).17(C2^2xS3)480,1171
(C2×C10).18(C22×S3) = C4○D4×D15φ: C22×S3/C6 → C22 ⊆ Aut C2×C101204(C2xC10).18(C2^2xS3)480,1175
(C2×C10).19(C22×S3) = D4⋊8D30φ: C22×S3/C6 → C22 ⊆ Aut C2×C101204+(C2xC10).19(C2^2xS3)480,1176
(C2×C10).20(C22×S3) = D4.10D30φ: C22×S3/C6 → C22 ⊆ Aut C2×C102404-(C2xC10).20(C2^2xS3)480,1177
(C2×C10).21(C22×S3) = C10×D4⋊2S3φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).21(C2^2xS3)480,1155
(C2×C10).22(C22×S3) = C5×S3×C4○D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C101204(C2xC10).22(C2^2xS3)480,1160
(C2×C10).23(C22×S3) = C5×D4○D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C101204(C2xC10).23(C2^2xS3)480,1161
(C2×C10).24(C22×S3) = C5×Q8○D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C102404(C2xC10).24(C2^2xS3)480,1162
(C2×C10).25(C22×S3) = Dic5⋊5Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).25(C2^2xS3)480,399
(C2×C10).26(C22×S3) = Dic3⋊5Dic10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).26(C2^2xS3)480,400
(C2×C10).27(C22×S3) = Dic15⋊5Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).27(C2^2xS3)480,401
(C2×C10).28(C22×S3) = (C2×C20).D6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).28(C2^2xS3)480,402
(C2×C10).29(C22×S3) = Dic15⋊1Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).29(C2^2xS3)480,403
(C2×C10).30(C22×S3) = Dic3⋊Dic10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).30(C2^2xS3)480,404
(C2×C10).31(C22×S3) = Dic15⋊Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).31(C2^2xS3)480,405
(C2×C10).32(C22×S3) = Dic3×Dic10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).32(C2^2xS3)480,406
(C2×C10).33(C22×S3) = Dic15⋊6Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).33(C2^2xS3)480,407
(C2×C10).34(C22×S3) = Dic5×Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).34(C2^2xS3)480,408
(C2×C10).35(C22×S3) = Dic30⋊17C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).35(C2^2xS3)480,409
(C2×C10).36(C22×S3) = Dic5.1Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).36(C2^2xS3)480,410
(C2×C10).37(C22×S3) = Dic5.2Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).37(C2^2xS3)480,411
(C2×C10).38(C22×S3) = Dic15.Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).38(C2^2xS3)480,412
(C2×C10).39(C22×S3) = C4⋊Dic3⋊D5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).39(C2^2xS3)480,413
(C2×C10).40(C22×S3) = (S3×C20)⋊5C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).40(C2^2xS3)480,414
(C2×C10).41(C22×S3) = Dic15.2Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).41(C2^2xS3)480,415
(C2×C10).42(C22×S3) = Dic30⋊14C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).42(C2^2xS3)480,416
(C2×C10).43(C22×S3) = D6⋊C4.D5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).43(C2^2xS3)480,417
(C2×C10).44(C22×S3) = C60⋊5C4⋊C2φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).44(C2^2xS3)480,418
(C2×C10).45(C22×S3) = Dic3.Dic10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).45(C2^2xS3)480,419
(C2×C10).46(C22×S3) = Dic15⋊7Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).46(C2^2xS3)480,420
(C2×C10).47(C22×S3) = C4⋊Dic5⋊S3φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).47(C2^2xS3)480,421
(C2×C10).48(C22×S3) = Dic3.2Dic10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).48(C2^2xS3)480,422
(C2×C10).49(C22×S3) = (C4×D15)⋊8C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).49(C2^2xS3)480,423
(C2×C10).50(C22×S3) = Dic3⋊C4⋊D5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).50(C2^2xS3)480,424
(C2×C10).51(C22×S3) = D10⋊Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).51(C2^2xS3)480,425
(C2×C10).52(C22×S3) = Dic5.8D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).52(C2^2xS3)480,426
(C2×C10).53(C22×S3) = D6⋊Dic5⋊C2φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).53(C2^2xS3)480,427
(C2×C10).54(C22×S3) = D6⋊Dic10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).54(C2^2xS3)480,428
(C2×C10).55(C22×S3) = Dic3.D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).55(C2^2xS3)480,429
(C2×C10).56(C22×S3) = D30.34D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).56(C2^2xS3)480,430
(C2×C10).57(C22×S3) = D30.35D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).57(C2^2xS3)480,431
(C2×C10).58(C22×S3) = D30.D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).58(C2^2xS3)480,432
(C2×C10).59(C22×S3) = (D5×C12)⋊C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).59(C2^2xS3)480,433
(C2×C10).60(C22×S3) = (C4×D5)⋊Dic3φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).60(C2^2xS3)480,434
(C2×C10).61(C22×S3) = C60.67D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).61(C2^2xS3)480,435
(C2×C10).62(C22×S3) = C60.68D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).62(C2^2xS3)480,436
(C2×C10).63(C22×S3) = (C2×C12).D10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).63(C2^2xS3)480,437
(C2×C10).64(C22×S3) = (C2×C60).C22φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).64(C2^2xS3)480,438
(C2×C10).65(C22×S3) = (C4×Dic3)⋊D5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).65(C2^2xS3)480,439
(C2×C10).66(C22×S3) = C60.44D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).66(C2^2xS3)480,440
(C2×C10).67(C22×S3) = C60.45D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).67(C2^2xS3)480,441
(C2×C10).68(C22×S3) = (C4×Dic15)⋊C2φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).68(C2^2xS3)480,442
(C2×C10).69(C22×S3) = D6⋊Dic5.C2φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).69(C2^2xS3)480,443
(C2×C10).70(C22×S3) = C60.88D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).70(C2^2xS3)480,444
(C2×C10).71(C22×S3) = C60.46D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).71(C2^2xS3)480,445
(C2×C10).72(C22×S3) = C60.89D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).72(C2^2xS3)480,446
(C2×C10).73(C22×S3) = (S3×C20)⋊7C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).73(C2^2xS3)480,447
(C2×C10).74(C22×S3) = C5⋊(C42⋊3S3)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).74(C2^2xS3)480,448
(C2×C10).75(C22×S3) = C60.69D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).75(C2^2xS3)480,449
(C2×C10).76(C22×S3) = C60.47D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).76(C2^2xS3)480,450
(C2×C10).77(C22×S3) = C60.70D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).77(C2^2xS3)480,451
(C2×C10).78(C22×S3) = Dic5⋊Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).78(C2^2xS3)480,452
(C2×C10).79(C22×S3) = D30⋊8Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).79(C2^2xS3)480,453
(C2×C10).80(C22×S3) = Dic5.7Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).80(C2^2xS3)480,454
(C2×C10).81(C22×S3) = Dic3.3Dic10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).81(C2^2xS3)480,455
(C2×C10).82(C22×S3) = C10.D4⋊S3φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).82(C2^2xS3)480,456
(C2×C10).83(C22×S3) = C60.6Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).83(C2^2xS3)480,457
(C2×C10).84(C22×S3) = Dic15.4Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).84(C2^2xS3)480,458
(C2×C10).85(C22×S3) = D30⋊9Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).85(C2^2xS3)480,459
(C2×C10).86(C22×S3) = C12.Dic10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).86(C2^2xS3)480,460
(C2×C10).87(C22×S3) = Dic15⋊8Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).87(C2^2xS3)480,461
(C2×C10).88(C22×S3) = (C4×D15)⋊10C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).88(C2^2xS3)480,462
(C2×C10).89(C22×S3) = (C4×Dic5)⋊S3φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).89(C2^2xS3)480,463
(C2×C10).90(C22×S3) = C20.Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).90(C2^2xS3)480,464
(C2×C10).91(C22×S3) = C60.48D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).91(C2^2xS3)480,465
(C2×C10).92(C22×S3) = D30⋊10Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).92(C2^2xS3)480,466
(C2×C10).93(C22×S3) = C4×D5×Dic3φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).93(C2^2xS3)480,467
(C2×C10).94(C22×S3) = D5×Dic3⋊C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).94(C2^2xS3)480,468
(C2×C10).95(C22×S3) = (D5×Dic3)⋊C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).95(C2^2xS3)480,469
(C2×C10).96(C22×S3) = D10.19(C4×S3)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).96(C2^2xS3)480,470
(C2×C10).97(C22×S3) = Dic3⋊4D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).97(C2^2xS3)480,471
(C2×C10).98(C22×S3) = Dic15⋊13D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).98(C2^2xS3)480,472
(C2×C10).99(C22×S3) = C4×S3×Dic5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).99(C2^2xS3)480,473
(C2×C10).100(C22×S3) = D6.(C4×D5)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).100(C2^2xS3)480,474
(C2×C10).101(C22×S3) = S3×C10.D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).101(C2^2xS3)480,475
(C2×C10).102(C22×S3) = (S3×Dic5)⋊C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).102(C2^2xS3)480,476
(C2×C10).103(C22×S3) = C4×D30.C2φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).103(C2^2xS3)480,477
(C2×C10).104(C22×S3) = D30.C2⋊C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).104(C2^2xS3)480,478
(C2×C10).105(C22×S3) = D30.23(C2×C4)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).105(C2^2xS3)480,479
(C2×C10).106(C22×S3) = D30.Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).106(C2^2xS3)480,480
(C2×C10).107(C22×S3) = Dic5⋊4D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).107(C2^2xS3)480,481
(C2×C10).108(C22×S3) = Dic15⋊14D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).108(C2^2xS3)480,482
(C2×C10).109(C22×S3) = (C6×D5).D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).109(C2^2xS3)480,483
(C2×C10).110(C22×S3) = Dic15⋊D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).110(C2^2xS3)480,484
(C2×C10).111(C22×S3) = Dic3⋊D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).111(C2^2xS3)480,485
(C2×C10).112(C22×S3) = D6⋊1Dic10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).112(C2^2xS3)480,486
(C2×C10).113(C22×S3) = D30⋊Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).113(C2^2xS3)480,487
(C2×C10).114(C22×S3) = D5×C4⋊Dic3φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).114(C2^2xS3)480,488
(C2×C10).115(C22×S3) = D10.16D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).115(C2^2xS3)480,489
(C2×C10).116(C22×S3) = D10.17D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).116(C2^2xS3)480,490
(C2×C10).117(C22×S3) = Dic5×D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).117(C2^2xS3)480,491
(C2×C10).118(C22×S3) = Dic5⋊D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).118(C2^2xS3)480,492
(C2×C10).119(C22×S3) = D6⋊2Dic10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).119(C2^2xS3)480,493
(C2×C10).120(C22×S3) = D60⋊17C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).120(C2^2xS3)480,494
(C2×C10).121(C22×S3) = D30⋊2Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).121(C2^2xS3)480,495
(C2×C10).122(C22×S3) = D30⋊D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).122(C2^2xS3)480,496
(C2×C10).123(C22×S3) = D10⋊1Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).123(C2^2xS3)480,497
(C2×C10).124(C22×S3) = D10⋊2Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).124(C2^2xS3)480,498
(C2×C10).125(C22×S3) = (C2×D12).D5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).125(C2^2xS3)480,499
(C2×C10).126(C22×S3) = D30⋊3Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).126(C2^2xS3)480,500
(C2×C10).127(C22×S3) = Dic3×D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).127(C2^2xS3)480,501
(C2×C10).128(C22×S3) = S3×C4⋊Dic5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).128(C2^2xS3)480,502
(C2×C10).129(C22×S3) = D6.D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).129(C2^2xS3)480,503
(C2×C10).130(C22×S3) = D60⋊14C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).130(C2^2xS3)480,504
(C2×C10).131(C22×S3) = D30⋊4Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).131(C2^2xS3)480,505
(C2×C10).132(C22×S3) = Dic15.D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).132(C2^2xS3)480,506
(C2×C10).133(C22×S3) = D10⋊4Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).133(C2^2xS3)480,507
(C2×C10).134(C22×S3) = D6⋊3Dic10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).134(C2^2xS3)480,508
(C2×C10).135(C22×S3) = D30.6D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).135(C2^2xS3)480,509
(C2×C10).136(C22×S3) = D20⋊8Dic3φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).136(C2^2xS3)480,510
(C2×C10).137(C22×S3) = Dic15⋊8D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).137(C2^2xS3)480,511
(C2×C10).138(C22×S3) = D6⋊4Dic10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).138(C2^2xS3)480,512
(C2×C10).139(C22×S3) = D30.2Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).139(C2^2xS3)480,513
(C2×C10).140(C22×S3) = D30.7D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).140(C2^2xS3)480,514
(C2×C10).141(C22×S3) = C4×C15⋊D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).141(C2^2xS3)480,515
(C2×C10).142(C22×S3) = D6⋊(C4×D5)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).142(C2^2xS3)480,516
(C2×C10).143(C22×S3) = C15⋊17(C4×D4)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).143(C2^2xS3)480,517
(C2×C10).144(C22×S3) = Dic15⋊9D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).144(C2^2xS3)480,518
(C2×C10).145(C22×S3) = C4×C3⋊D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).145(C2^2xS3)480,519
(C2×C10).146(C22×S3) = C15⋊20(C4×D4)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).146(C2^2xS3)480,520
(C2×C10).147(C22×S3) = C4×C5⋊D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).147(C2^2xS3)480,521
(C2×C10).148(C22×S3) = C15⋊22(C4×D4)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).148(C2^2xS3)480,522
(C2×C10).149(C22×S3) = D6⋊C4⋊D5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).149(C2^2xS3)480,523
(C2×C10).150(C22×S3) = D10⋊D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).150(C2^2xS3)480,524
(C2×C10).151(C22×S3) = C60⋊D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).151(C2^2xS3)480,525
(C2×C10).152(C22×S3) = C12⋊7D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).152(C2^2xS3)480,526
(C2×C10).153(C22×S3) = C20⋊D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).153(C2^2xS3)480,527
(C2×C10).154(C22×S3) = D10⋊C4⋊S3φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).154(C2^2xS3)480,528
(C2×C10).155(C22×S3) = Dic15⋊2D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).155(C2^2xS3)480,529
(C2×C10).156(C22×S3) = D6⋊D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).156(C2^2xS3)480,530
(C2×C10).157(C22×S3) = (C2×Dic6)⋊D5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).157(C2^2xS3)480,531
(C2×C10).158(C22×S3) = C60⋊4D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).158(C2^2xS3)480,532
(C2×C10).159(C22×S3) = D6.9D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).159(C2^2xS3)480,533
(C2×C10).160(C22×S3) = C12⋊D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).160(C2^2xS3)480,534
(C2×C10).161(C22×S3) = D30⋊2D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).161(C2^2xS3)480,535
(C2×C10).162(C22×S3) = C60⋊6D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).162(C2^2xS3)480,536
(C2×C10).163(C22×S3) = D30⋊12D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).163(C2^2xS3)480,537
(C2×C10).164(C22×S3) = Dic15.10D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).164(C2^2xS3)480,538
(C2×C10).165(C22×S3) = C60⋊10D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).165(C2^2xS3)480,539
(C2×C10).166(C22×S3) = Dic15.31D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).166(C2^2xS3)480,540
(C2×C10).167(C22×S3) = C12⋊2D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).167(C2^2xS3)480,541
(C2×C10).168(C22×S3) = C20⋊2D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).168(C2^2xS3)480,542
(C2×C10).169(C22×S3) = C4×C15⋊Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).169(C2^2xS3)480,543
(C2×C10).170(C22×S3) = C60⋊Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).170(C2^2xS3)480,544
(C2×C10).171(C22×S3) = C20⋊4Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).171(C2^2xS3)480,545
(C2×C10).172(C22×S3) = C20⋊Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).172(C2^2xS3)480,546
(C2×C10).173(C22×S3) = D5×D6⋊C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).173(C2^2xS3)480,547
(C2×C10).174(C22×S3) = S3×D10⋊C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).174(C2^2xS3)480,548
(C2×C10).175(C22×S3) = D30.27D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).175(C2^2xS3)480,549
(C2×C10).176(C22×S3) = D6⋊4D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).176(C2^2xS3)480,550
(C2×C10).177(C22×S3) = D30⋊4D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).177(C2^2xS3)480,551
(C2×C10).178(C22×S3) = D30⋊5D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).178(C2^2xS3)480,552
(C2×C10).179(C22×S3) = C23.D5⋊S3φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).179(C2^2xS3)480,601
(C2×C10).180(C22×S3) = Dic15.19D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).180(C2^2xS3)480,602
(C2×C10).181(C22×S3) = C2×Dic3×Dic5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).181(C2^2xS3)480,603
(C2×C10).182(C22×S3) = (C6×Dic5)⋊7C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).182(C2^2xS3)480,604
(C2×C10).183(C22×S3) = C23.26(S3×D5)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).183(C2^2xS3)480,605
(C2×C10).184(C22×S3) = C23.13(S3×D5)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).184(C2^2xS3)480,606
(C2×C10).185(C22×S3) = C23.14(S3×D5)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).185(C2^2xS3)480,607
(C2×C10).186(C22×S3) = C23.48(S3×D5)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).186(C2^2xS3)480,608
(C2×C10).187(C22×S3) = D30⋊6D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).187(C2^2xS3)480,609
(C2×C10).188(C22×S3) = C6.(D4×D5)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).188(C2^2xS3)480,610
(C2×C10).189(C22×S3) = C2×D10⋊Dic3φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).189(C2^2xS3)480,611
(C2×C10).190(C22×S3) = (C2×C30).D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).190(C2^2xS3)480,612
(C2×C10).191(C22×S3) = C6.(C2×D20)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).191(C2^2xS3)480,613
(C2×C10).192(C22×S3) = C2×D6⋊Dic5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).192(C2^2xS3)480,614
(C2×C10).193(C22×S3) = C30.(C2×D4)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).193(C2^2xS3)480,615
(C2×C10).194(C22×S3) = C2×D30⋊4C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).194(C2^2xS3)480,616
(C2×C10).195(C22×S3) = C2×C30.Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).195(C2^2xS3)480,617
(C2×C10).196(C22×S3) = C10.(C2×D12)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).196(C2^2xS3)480,618
(C2×C10).197(C22×S3) = (C2×C10).D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).197(C2^2xS3)480,619
(C2×C10).198(C22×S3) = C2×Dic15⋊5C4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).198(C2^2xS3)480,620
(C2×C10).199(C22×S3) = C2×C6.Dic10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).199(C2^2xS3)480,621
(C2×C10).200(C22×S3) = C6.D4⋊D5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).200(C2^2xS3)480,622
(C2×C10).201(C22×S3) = D5×C6.D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).201(C2^2xS3)480,623
(C2×C10).202(C22×S3) = C23.17(S3×D5)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).202(C2^2xS3)480,624
(C2×C10).203(C22×S3) = (C6×D5)⋊D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).203(C2^2xS3)480,625
(C2×C10).204(C22×S3) = Dic15⋊3D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).204(C2^2xS3)480,626
(C2×C10).205(C22×S3) = Dic5×C3⋊D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).205(C2^2xS3)480,627
(C2×C10).206(C22×S3) = C15⋊26(C4×D4)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).206(C2^2xS3)480,628
(C2×C10).207(C22×S3) = Dic3×C5⋊D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).207(C2^2xS3)480,629
(C2×C10).208(C22×S3) = S3×C23.D5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).208(C2^2xS3)480,630
(C2×C10).209(C22×S3) = (S3×C10).D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).209(C2^2xS3)480,631
(C2×C10).210(C22×S3) = C15⋊28(C4×D4)φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).210(C2^2xS3)480,632
(C2×C10).211(C22×S3) = D30⋊7D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).211(C2^2xS3)480,633
(C2×C10).212(C22×S3) = Dic15⋊4D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).212(C2^2xS3)480,634
(C2×C10).213(C22×S3) = Dic15⋊16D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).213(C2^2xS3)480,635
(C2×C10).214(C22×S3) = Dic15⋊17D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).214(C2^2xS3)480,636
(C2×C10).215(C22×S3) = D30.45D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).215(C2^2xS3)480,637
(C2×C10).216(C22×S3) = D30.16D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).216(C2^2xS3)480,638
(C2×C10).217(C22×S3) = (C2×C30)⋊D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).217(C2^2xS3)480,639
(C2×C10).218(C22×S3) = (C2×C6)⋊8D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).218(C2^2xS3)480,640
(C2×C10).219(C22×S3) = (S3×C10)⋊D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).219(C2^2xS3)480,641
(C2×C10).220(C22×S3) = (C2×C10)⋊4D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).220(C2^2xS3)480,642
(C2×C10).221(C22×S3) = Dic15⋊5D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).221(C2^2xS3)480,643
(C2×C10).222(C22×S3) = C15⋊C22≀C2φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).222(C2^2xS3)480,644
(C2×C10).223(C22×S3) = (C2×C6)⋊D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).223(C2^2xS3)480,645
(C2×C10).224(C22×S3) = (C2×C10)⋊11D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).224(C2^2xS3)480,646
(C2×C10).225(C22×S3) = Dic15⋊18D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).225(C2^2xS3)480,647
(C2×C10).226(C22×S3) = D30⋊18D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).226(C2^2xS3)480,648
(C2×C10).227(C22×S3) = D30⋊19D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).227(C2^2xS3)480,649
(C2×C10).228(C22×S3) = (C2×C30)⋊Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).228(C2^2xS3)480,650
(C2×C10).229(C22×S3) = (C2×C10)⋊8Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).229(C2^2xS3)480,651
(C2×C10).230(C22×S3) = Dic15.48D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).230(C2^2xS3)480,652
(C2×C10).231(C22×S3) = D30⋊8D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).231(C2^2xS3)480,653
(C2×C10).232(C22×S3) = C2×D5×Dic6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).232(C2^2xS3)480,1073
(C2×C10).233(C22×S3) = C2×D20⋊5S3φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).233(C2^2xS3)480,1074
(C2×C10).234(C22×S3) = C2×D20⋊S3φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).234(C2^2xS3)480,1075
(C2×C10).235(C22×S3) = D20.38D6φ: C22×S3/D6 → C2 ⊆ Aut C2×C102404(C2xC10).235(C2^2xS3)480,1076
(C2×C10).236(C22×S3) = C2×S3×Dic10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).236(C2^2xS3)480,1078
(C2×C10).237(C22×S3) = C2×D12⋊D5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).237(C2^2xS3)480,1079
(C2×C10).238(C22×S3) = C2×D60⋊C2φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).238(C2^2xS3)480,1081
(C2×C10).239(C22×S3) = C2×D15⋊Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).239(C2^2xS3)480,1082
(C2×C10).240(C22×S3) = C2×D6.D10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).240(C2^2xS3)480,1083
(C2×C10).241(C22×S3) = C2×D12⋊5D5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).241(C2^2xS3)480,1084
(C2×C10).242(C22×S3) = C2×C12.28D10φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).242(C2^2xS3)480,1085
(C2×C10).243(C22×S3) = S3×C2×C4×D5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).243(C2^2xS3)480,1086
(C2×C10).244(C22×S3) = C2×D5×D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).244(C2^2xS3)480,1087
(C2×C10).245(C22×S3) = C2×S3×D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).245(C2^2xS3)480,1088
(C2×C10).246(C22×S3) = C2×C20⋊D6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10120(C2xC10).246(C2^2xS3)480,1089
(C2×C10).247(C22×S3) = S3×C4○D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C101204(C2xC10).247(C2^2xS3)480,1091
(C2×C10).248(C22×S3) = D20⋊26D6φ: C22×S3/D6 → C2 ⊆ Aut C2×C101204(C2xC10).248(C2^2xS3)480,1094
(C2×C10).249(C22×S3) = C22×D5×Dic3φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).249(C2^2xS3)480,1112
(C2×C10).250(C22×S3) = C2×Dic5.D6φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).250(C2^2xS3)480,1113
(C2×C10).251(C22×S3) = C22×S3×Dic5φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).251(C2^2xS3)480,1115
(C2×C10).252(C22×S3) = C22×D30.C2φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).252(C2^2xS3)480,1117
(C2×C10).253(C22×S3) = C22×C15⋊D4φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).253(C2^2xS3)480,1118
(C2×C10).254(C22×S3) = C22×C3⋊D20φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).254(C2^2xS3)480,1119
(C2×C10).255(C22×S3) = C22×C5⋊D12φ: C22×S3/D6 → C2 ⊆ Aut C2×C10240(C2xC10).255(C2^2xS3)480,1120
(C2×C10).256(C22×S3) = C22×C15⋊Q8φ: C22×S3/D6 → C2 ⊆ Aut C2×C10480(C2xC10).256(C2^2xS3)480,1121
(C2×C10).257(C22×S3) = C10×C4○D12φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).257(C2^2xS3)480,1153
(C2×C10).258(C22×S3) = C5×D4⋊6D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C101204(C2xC10).258(C2^2xS3)480,1156
(C2×C10).259(C22×S3) = C5×Q8.15D6φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C102404(C2xC10).259(C2^2xS3)480,1159
(C2×C10).260(C22×S3) = C4×Dic30φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10480(C2xC10).260(C2^2xS3)480,833
(C2×C10).261(C22×S3) = C60⋊8Q8φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10480(C2xC10).261(C2^2xS3)480,834
(C2×C10).262(C22×S3) = C60.24Q8φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10480(C2xC10).262(C2^2xS3)480,835
(C2×C10).263(C22×S3) = C42×D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).263(C2^2xS3)480,836
(C2×C10).264(C22×S3) = C42⋊2D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).264(C2^2xS3)480,837
(C2×C10).265(C22×S3) = C4×D60φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).265(C2^2xS3)480,838
(C2×C10).266(C22×S3) = C42⋊6D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).266(C2^2xS3)480,839
(C2×C10).267(C22×S3) = C42⋊7D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).267(C2^2xS3)480,840
(C2×C10).268(C22×S3) = C42⋊3D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).268(C2^2xS3)480,841
(C2×C10).269(C22×S3) = C23.15D30φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).269(C2^2xS3)480,842
(C2×C10).270(C22×S3) = C22⋊2Dic30φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).270(C2^2xS3)480,843
(C2×C10).271(C22×S3) = C23.8D30φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).271(C2^2xS3)480,844
(C2×C10).272(C22×S3) = C22⋊C4×D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10120(C2xC10).272(C2^2xS3)480,845
(C2×C10).273(C22×S3) = Dic15⋊19D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).273(C2^2xS3)480,846
(C2×C10).274(C22×S3) = D30⋊16D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10120(C2xC10).274(C2^2xS3)480,847
(C2×C10).275(C22×S3) = D30.28D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).275(C2^2xS3)480,848
(C2×C10).276(C22×S3) = D30⋊9D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).276(C2^2xS3)480,849
(C2×C10).277(C22×S3) = C23.11D30φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).277(C2^2xS3)480,850
(C2×C10).278(C22×S3) = C22.D60φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).278(C2^2xS3)480,851
(C2×C10).279(C22×S3) = Dic15⋊10Q8φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10480(C2xC10).279(C2^2xS3)480,852
(C2×C10).280(C22×S3) = C4⋊Dic30φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10480(C2xC10).280(C2^2xS3)480,853
(C2×C10).281(C22×S3) = Dic15.3Q8φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10480(C2xC10).281(C2^2xS3)480,854
(C2×C10).282(C22×S3) = C4.Dic30φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10480(C2xC10).282(C2^2xS3)480,855
(C2×C10).283(C22×S3) = C4⋊C4×D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).283(C2^2xS3)480,856
(C2×C10).284(C22×S3) = C4⋊C4⋊7D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).284(C2^2xS3)480,857
(C2×C10).285(C22×S3) = D60⋊11C4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).285(C2^2xS3)480,858
(C2×C10).286(C22×S3) = D30.29D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).286(C2^2xS3)480,859
(C2×C10).287(C22×S3) = C4⋊D60φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).287(C2^2xS3)480,860
(C2×C10).288(C22×S3) = D30⋊5Q8φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).288(C2^2xS3)480,861
(C2×C10).289(C22×S3) = D30⋊6Q8φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).289(C2^2xS3)480,862
(C2×C10).290(C22×S3) = C4⋊C4⋊D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).290(C2^2xS3)480,863
(C2×C10).291(C22×S3) = C2×C4×Dic15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10480(C2xC10).291(C2^2xS3)480,887
(C2×C10).292(C22×S3) = C2×C30.4Q8φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10480(C2xC10).292(C2^2xS3)480,888
(C2×C10).293(C22×S3) = C60.205D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).293(C2^2xS3)480,889
(C2×C10).294(C22×S3) = C2×C60⋊5C4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10480(C2xC10).294(C2^2xS3)480,890
(C2×C10).295(C22×S3) = C23.26D30φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).295(C2^2xS3)480,891
(C2×C10).296(C22×S3) = C2×D30⋊3C4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).296(C2^2xS3)480,892
(C2×C10).297(C22×S3) = C4×C15⋊7D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).297(C2^2xS3)480,893
(C2×C10).298(C22×S3) = C23.28D30φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).298(C2^2xS3)480,894
(C2×C10).299(C22×S3) = C60⋊29D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).299(C2^2xS3)480,895
(C2×C10).300(C22×S3) = D4×Dic15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).300(C2^2xS3)480,899
(C2×C10).301(C22×S3) = C23.22D30φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).301(C2^2xS3)480,900
(C2×C10).302(C22×S3) = C60.17D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).302(C2^2xS3)480,901
(C2×C10).303(C22×S3) = D30⋊17D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10120(C2xC10).303(C2^2xS3)480,902
(C2×C10).304(C22×S3) = C60⋊2D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).304(C2^2xS3)480,903
(C2×C10).305(C22×S3) = Dic15⋊12D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).305(C2^2xS3)480,904
(C2×C10).306(C22×S3) = C60⋊3D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).306(C2^2xS3)480,905
(C2×C10).307(C22×S3) = Dic15⋊4Q8φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10480(C2xC10).307(C2^2xS3)480,909
(C2×C10).308(C22×S3) = Q8×Dic15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10480(C2xC10).308(C2^2xS3)480,910
(C2×C10).309(C22×S3) = D30⋊7Q8φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).309(C2^2xS3)480,911
(C2×C10).310(C22×S3) = C60.23D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).310(C2^2xS3)480,912
(C2×C10).311(C22×S3) = C2×C30.38D4φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).311(C2^2xS3)480,917
(C2×C10).312(C22×S3) = C24⋊5D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10120(C2xC10).312(C2^2xS3)480,918
(C2×C10).313(C22×S3) = C22×Dic30φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10480(C2xC10).313(C2^2xS3)480,1165
(C2×C10).314(C22×S3) = C22×C4×D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).314(C2^2xS3)480,1166
(C2×C10).315(C22×S3) = C22×D60φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).315(C2^2xS3)480,1167
(C2×C10).316(C22×S3) = C2×D60⋊11C2φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).316(C2^2xS3)480,1168
(C2×C10).317(C22×S3) = C2×D4⋊2D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).317(C2^2xS3)480,1170
(C2×C10).318(C22×S3) = C2×Q8×D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).318(C2^2xS3)480,1172
(C2×C10).319(C22×S3) = C2×Q8⋊3D15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10240(C2xC10).319(C2^2xS3)480,1173
(C2×C10).320(C22×S3) = Q8.15D30φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C102404(C2xC10).320(C2^2xS3)480,1174
(C2×C10).321(C22×S3) = C23×Dic15φ: C22×S3/C2×C6 → C2 ⊆ Aut C2×C10480(C2xC10).321(C2^2xS3)480,1178
(C2×C10).322(C22×S3) = C20×Dic6central extension (φ=1)480(C2xC10).322(C2^2xS3)480,747
(C2×C10).323(C22×S3) = C5×C12⋊2Q8central extension (φ=1)480(C2xC10).323(C2^2xS3)480,748
(C2×C10).324(C22×S3) = C5×C12.6Q8central extension (φ=1)480(C2xC10).324(C2^2xS3)480,749
(C2×C10).325(C22×S3) = S3×C4×C20central extension (φ=1)240(C2xC10).325(C2^2xS3)480,750
(C2×C10).326(C22×S3) = C5×C42⋊2S3central extension (φ=1)240(C2xC10).326(C2^2xS3)480,751
(C2×C10).327(C22×S3) = C20×D12central extension (φ=1)240(C2xC10).327(C2^2xS3)480,752
(C2×C10).328(C22×S3) = C5×C4⋊D12central extension (φ=1)240(C2xC10).328(C2^2xS3)480,753
(C2×C10).329(C22×S3) = C5×C42⋊7S3central extension (φ=1)240(C2xC10).329(C2^2xS3)480,754
(C2×C10).330(C22×S3) = C5×C42⋊3S3central extension (φ=1)240(C2xC10).330(C2^2xS3)480,755
(C2×C10).331(C22×S3) = C5×C23.16D6central extension (φ=1)240(C2xC10).331(C2^2xS3)480,756
(C2×C10).332(C22×S3) = C5×Dic3.D4central extension (φ=1)240(C2xC10).332(C2^2xS3)480,757
(C2×C10).333(C22×S3) = C5×C23.8D6central extension (φ=1)240(C2xC10).333(C2^2xS3)480,758
(C2×C10).334(C22×S3) = C5×S3×C22⋊C4central extension (φ=1)120(C2xC10).334(C2^2xS3)480,759
(C2×C10).335(C22×S3) = C5×Dic3⋊4D4central extension (φ=1)240(C2xC10).335(C2^2xS3)480,760
(C2×C10).336(C22×S3) = C5×D6⋊D4central extension (φ=1)120(C2xC10).336(C2^2xS3)480,761
(C2×C10).337(C22×S3) = C5×C23.9D6central extension (φ=1)240(C2xC10).337(C2^2xS3)480,762
(C2×C10).338(C22×S3) = C5×Dic3⋊D4central extension (φ=1)240(C2xC10).338(C2^2xS3)480,763
(C2×C10).339(C22×S3) = C5×C23.11D6central extension (φ=1)240(C2xC10).339(C2^2xS3)480,764
(C2×C10).340(C22×S3) = C5×C23.21D6central extension (φ=1)240(C2xC10).340(C2^2xS3)480,765
(C2×C10).341(C22×S3) = C5×Dic6⋊C4central extension (φ=1)480(C2xC10).341(C2^2xS3)480,766
(C2×C10).342(C22×S3) = C5×C12⋊Q8central extension (φ=1)480(C2xC10).342(C2^2xS3)480,767
(C2×C10).343(C22×S3) = C5×Dic3.Q8central extension (φ=1)480(C2xC10).343(C2^2xS3)480,768
(C2×C10).344(C22×S3) = C5×C4.Dic6central extension (φ=1)480(C2xC10).344(C2^2xS3)480,769
(C2×C10).345(C22×S3) = C5×S3×C4⋊C4central extension (φ=1)240(C2xC10).345(C2^2xS3)480,770
(C2×C10).346(C22×S3) = C5×C4⋊C4⋊7S3central extension (φ=1)240(C2xC10).346(C2^2xS3)480,771
(C2×C10).347(C22×S3) = C5×Dic3⋊5D4central extension (φ=1)240(C2xC10).347(C2^2xS3)480,772
(C2×C10).348(C22×S3) = C5×D6.D4central extension (φ=1)240(C2xC10).348(C2^2xS3)480,773
(C2×C10).349(C22×S3) = C5×C12⋊D4central extension (φ=1)240(C2xC10).349(C2^2xS3)480,774
(C2×C10).350(C22×S3) = C5×D6⋊Q8central extension (φ=1)240(C2xC10).350(C2^2xS3)480,775
(C2×C10).351(C22×S3) = C5×C4.D12central extension (φ=1)240(C2xC10).351(C2^2xS3)480,776
(C2×C10).352(C22×S3) = C5×C4⋊C4⋊S3central extension (φ=1)240(C2xC10).352(C2^2xS3)480,777
(C2×C10).353(C22×S3) = Dic3×C2×C20central extension (φ=1)480(C2xC10).353(C2^2xS3)480,801
(C2×C10).354(C22×S3) = C10×Dic3⋊C4central extension (φ=1)480(C2xC10).354(C2^2xS3)480,802
(C2×C10).355(C22×S3) = C5×C12.48D4central extension (φ=1)240(C2xC10).355(C2^2xS3)480,803
(C2×C10).356(C22×S3) = C10×C4⋊Dic3central extension (φ=1)480(C2xC10).356(C2^2xS3)480,804
(C2×C10).357(C22×S3) = C5×C23.26D6central extension (φ=1)240(C2xC10).357(C2^2xS3)480,805
(C2×C10).358(C22×S3) = C10×D6⋊C4central extension (φ=1)240(C2xC10).358(C2^2xS3)480,806
(C2×C10).359(C22×S3) = C20×C3⋊D4central extension (φ=1)240(C2xC10).359(C2^2xS3)480,807
(C2×C10).360(C22×S3) = C5×C23.28D6central extension (φ=1)240(C2xC10).360(C2^2xS3)480,808
(C2×C10).361(C22×S3) = C5×C12⋊7D4central extension (φ=1)240(C2xC10).361(C2^2xS3)480,809
(C2×C10).362(C22×S3) = C5×D4×Dic3central extension (φ=1)240(C2xC10).362(C2^2xS3)480,813
(C2×C10).363(C22×S3) = C5×C23.23D6central extension (φ=1)240(C2xC10).363(C2^2xS3)480,814
(C2×C10).364(C22×S3) = C5×C23.12D6central extension (φ=1)240(C2xC10).364(C2^2xS3)480,815
(C2×C10).365(C22×S3) = C5×C23⋊2D6central extension (φ=1)120(C2xC10).365(C2^2xS3)480,816
(C2×C10).366(C22×S3) = C5×D6⋊3D4central extension (φ=1)240(C2xC10).366(C2^2xS3)480,817
(C2×C10).367(C22×S3) = C5×C23.14D6central extension (φ=1)240(C2xC10).367(C2^2xS3)480,818
(C2×C10).368(C22×S3) = C5×C12⋊3D4central extension (φ=1)240(C2xC10).368(C2^2xS3)480,819
(C2×C10).369(C22×S3) = C5×Dic3⋊Q8central extension (φ=1)480(C2xC10).369(C2^2xS3)480,823
(C2×C10).370(C22×S3) = C5×Q8×Dic3central extension (φ=1)480(C2xC10).370(C2^2xS3)480,824
(C2×C10).371(C22×S3) = C5×D6⋊3Q8central extension (φ=1)240(C2xC10).371(C2^2xS3)480,825
(C2×C10).372(C22×S3) = C5×C12.23D4central extension (φ=1)240(C2xC10).372(C2^2xS3)480,826
(C2×C10).373(C22×S3) = C10×C6.D4central extension (φ=1)240(C2xC10).373(C2^2xS3)480,831
(C2×C10).374(C22×S3) = C5×C24⋊4S3central extension (φ=1)120(C2xC10).374(C2^2xS3)480,832
(C2×C10).375(C22×S3) = C2×C10×Dic6central extension (φ=1)480(C2xC10).375(C2^2xS3)480,1150
(C2×C10).376(C22×S3) = S3×C22×C20central extension (φ=1)240(C2xC10).376(C2^2xS3)480,1151
(C2×C10).377(C22×S3) = C2×C10×D12central extension (φ=1)240(C2xC10).377(C2^2xS3)480,1152
(C2×C10).378(C22×S3) = S3×Q8×C10central extension (φ=1)240(C2xC10).378(C2^2xS3)480,1157
(C2×C10).379(C22×S3) = C10×Q8⋊3S3central extension (φ=1)240(C2xC10).379(C2^2xS3)480,1158
(C2×C10).380(C22×S3) = Dic3×C22×C10central extension (φ=1)480(C2xC10).380(C2^2xS3)480,1163

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