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Extensions 1→N→G→Q→1 with N=C2×C4 and Q=S3×D5

Direct product G=N×Q with N=C2×C4 and Q=S3×D5
dρLabelID
S3×C2×C4×D5120S3xC2xC4xD5480,1086

Semidirect products G=N:Q with N=C2×C4 and Q=S3×D5
extensionφ:Q→Aut NdρLabelID
(C2×C4)⋊1(S3×D5) = D6⋊4D20φ: S3×D5/C15 → C22 ⊆ Aut C2×C4120(C2xC4):1(S3xD5)480,550
(C2×C4)⋊2(S3×D5) = D30⋊4D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C4120(C2xC4):2(S3xD5)480,551
(C2×C4)⋊3(S3×D5) = D30⋊5D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C4120(C2xC4):3(S3xD5)480,552
(C2×C4)⋊4(S3×D5) = D20⋊25D6φ: S3×D5/C15 → C22 ⊆ Aut C2×C41204(C2xC4):4(S3xD5)480,1093
(C2×C4)⋊5(S3×D5) = D20⋊26D6φ: S3×D5/C15 → C22 ⊆ Aut C2×C41204(C2xC4):5(S3xD5)480,1094
(C2×C4)⋊6(S3×D5) = D20⋊29D6φ: S3×D5/C15 → C22 ⊆ Aut C2×C41204+(C2xC4):6(S3xD5)480,1095
(C2×C4)⋊7(S3×D5) = S3×D10⋊C4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4120(C2xC4):7(S3xD5)480,548
(C2×C4)⋊8(S3×D5) = C2×S3×D20φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4120(C2xC4):8(S3xD5)480,1088
(C2×C4)⋊9(S3×D5) = S3×C4○D20φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C41204(C2xC4):9(S3xD5)480,1091
(C2×C4)⋊10(S3×D5) = D5×D6⋊C4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4120(C2xC4):10(S3xD5)480,547
(C2×C4)⋊11(S3×D5) = C2×D5×D12φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4120(C2xC4):11(S3xD5)480,1087
(C2×C4)⋊12(S3×D5) = D5×C4○D12φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C41204(C2xC4):12(S3xD5)480,1090
(C2×C4)⋊13(S3×D5) = D30.27D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C4120(C2xC4):13(S3xD5)480,549
(C2×C4)⋊14(S3×D5) = C2×C20⋊D6φ: S3×D5/D15 → C2 ⊆ Aut C2×C4120(C2xC4):14(S3xD5)480,1089
(C2×C4)⋊15(S3×D5) = D20⋊24D6φ: S3×D5/D15 → C2 ⊆ Aut C2×C41204(C2xC4):15(S3xD5)480,1092

Non-split extensions G=N.Q with N=C2×C4 and Q=S3×D5
extensionφ:Q→Aut NdρLabelID
(C2×C4).1(S3×D5) = C60.28D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C41204(C2xC4).1(S3xD5)480,34
(C2×C4).2(S3×D5) = C20.5D12φ: S3×D5/C15 → C22 ⊆ Aut C2×C41204(C2xC4).2(S3xD5)480,35
(C2×C4).3(S3×D5) = C60.29D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C41204+(C2xC4).3(S3xD5)480,36
(C2×C4).4(S3×D5) = C12.6D20φ: S3×D5/C15 → C22 ⊆ Aut C2×C42404(C2xC4).4(S3xD5)480,37
(C2×C4).5(S3×D5) = C60.54D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C42404(C2xC4).5(S3xD5)480,38
(C2×C4).6(S3×D5) = C60.31D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C42404-(C2xC4).6(S3xD5)480,39
(C2×C4).7(S3×D5) = C60.36D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C41204(C2xC4).7(S3xD5)480,374
(C2×C4).8(S3×D5) = D20⋊21D6φ: S3×D5/C15 → C22 ⊆ Aut C2×C41204(C2xC4).8(S3xD5)480,375
(C2×C4).9(S3×D5) = D20⋊19D6φ: S3×D5/C15 → C22 ⊆ Aut C2×C41204+(C2xC4).9(S3xD5)480,377
(C2×C4).10(S3×D5) = D60⋊36C22φ: S3×D5/C15 → C22 ⊆ Aut C2×C41204(C2xC4).10(S3xD5)480,380
(C2×C4).11(S3×D5) = C60.38D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C41204+(C2xC4).11(S3xD5)480,381
(C2×C4).12(S3×D5) = D20.37D6φ: S3×D5/C15 → C22 ⊆ Aut C2×C42404(C2xC4).12(S3xD5)480,383
(C2×C4).13(S3×D5) = D12.37D10φ: S3×D5/C15 → C22 ⊆ Aut C2×C42404(C2xC4).13(S3xD5)480,385
(C2×C4).14(S3×D5) = D60⋊30C22φ: S3×D5/C15 → C22 ⊆ Aut C2×C41204(C2xC4).14(S3xD5)480,388
(C2×C4).15(S3×D5) = C60.63D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C42404-(C2xC4).15(S3xD5)480,389
(C2×C4).16(S3×D5) = C12.D20φ: S3×D5/C15 → C22 ⊆ Aut C2×C42404(C2xC4).16(S3xD5)480,391
(C2×C4).17(S3×D5) = C20.D12φ: S3×D5/C15 → C22 ⊆ Aut C2×C42404(C2xC4).17(S3xD5)480,397
(C2×C4).18(S3×D5) = D12.33D10φ: S3×D5/C15 → C22 ⊆ Aut C2×C42404-(C2xC4).18(S3xD5)480,398
(C2×C4).19(S3×D5) = (C2×C20).D6φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).19(S3xD5)480,402
(C2×C4).20(S3×D5) = Dic15⋊1Q8φ: S3×D5/C15 → C22 ⊆ Aut C2×C4480(C2xC4).20(S3xD5)480,403
(C2×C4).21(S3×D5) = Dic3⋊Dic10φ: S3×D5/C15 → C22 ⊆ Aut C2×C4480(C2xC4).21(S3xD5)480,404
(C2×C4).22(S3×D5) = Dic15⋊Q8φ: S3×D5/C15 → C22 ⊆ Aut C2×C4480(C2xC4).22(S3xD5)480,405
(C2×C4).23(S3×D5) = Dic5.1Dic6φ: S3×D5/C15 → C22 ⊆ Aut C2×C4480(C2xC4).23(S3xD5)480,410
(C2×C4).24(S3×D5) = Dic5.2Dic6φ: S3×D5/C15 → C22 ⊆ Aut C2×C4480(C2xC4).24(S3xD5)480,411
(C2×C4).25(S3×D5) = Dic15.Q8φ: S3×D5/C15 → C22 ⊆ Aut C2×C4480(C2xC4).25(S3xD5)480,412
(C2×C4).26(S3×D5) = C4⋊Dic3⋊D5φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).26(S3xD5)480,413
(C2×C4).27(S3×D5) = Dic15.2Q8φ: S3×D5/C15 → C22 ⊆ Aut C2×C4480(C2xC4).27(S3xD5)480,415
(C2×C4).28(S3×D5) = D6⋊C4.D5φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).28(S3xD5)480,417
(C2×C4).29(S3×D5) = C60⋊5C4⋊C2φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).29(S3xD5)480,418
(C2×C4).30(S3×D5) = Dic3.Dic10φ: S3×D5/C15 → C22 ⊆ Aut C2×C4480(C2xC4).30(S3xD5)480,419
(C2×C4).31(S3×D5) = C4⋊Dic5⋊S3φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).31(S3xD5)480,421
(C2×C4).32(S3×D5) = Dic3.2Dic10φ: S3×D5/C15 → C22 ⊆ Aut C2×C4480(C2xC4).32(S3xD5)480,422
(C2×C4).33(S3×D5) = D30.D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).33(S3xD5)480,432
(C2×C4).34(S3×D5) = (C2×C12).D10φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).34(S3xD5)480,437
(C2×C4).35(S3×D5) = (C2×C60).C22φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).35(S3xD5)480,438
(C2×C4).36(S3×D5) = (C6×D5).D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).36(S3xD5)480,483
(C2×C4).37(S3×D5) = Dic15⋊D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).37(S3xD5)480,484
(C2×C4).38(S3×D5) = Dic3⋊D20φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).38(S3xD5)480,485
(C2×C4).39(S3×D5) = D6⋊1Dic10φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).39(S3xD5)480,486
(C2×C4).40(S3×D5) = D30⋊Q8φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).40(S3xD5)480,487
(C2×C4).41(S3×D5) = D10.16D12φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).41(S3xD5)480,489
(C2×C4).42(S3×D5) = D10.17D12φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).42(S3xD5)480,490
(C2×C4).43(S3×D5) = Dic5⋊D12φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).43(S3xD5)480,492
(C2×C4).44(S3×D5) = D6⋊2Dic10φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).44(S3xD5)480,493
(C2×C4).45(S3×D5) = D30⋊2Q8φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).45(S3xD5)480,495
(C2×C4).46(S3×D5) = D30⋊D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).46(S3xD5)480,496
(C2×C4).47(S3×D5) = D10⋊1Dic6φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).47(S3xD5)480,497
(C2×C4).48(S3×D5) = D10⋊2Dic6φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).48(S3xD5)480,498
(C2×C4).49(S3×D5) = (C2×D12).D5φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).49(S3xD5)480,499
(C2×C4).50(S3×D5) = D30⋊3Q8φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).50(S3xD5)480,500
(C2×C4).51(S3×D5) = D6.D20φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).51(S3xD5)480,503
(C2×C4).52(S3×D5) = D30⋊4Q8φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).52(S3xD5)480,505
(C2×C4).53(S3×D5) = Dic15.D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).53(S3xD5)480,506
(C2×C4).54(S3×D5) = D10⋊4Dic6φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).54(S3xD5)480,507
(C2×C4).55(S3×D5) = D6⋊3Dic10φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).55(S3xD5)480,508
(C2×C4).56(S3×D5) = D30.6D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).56(S3xD5)480,509
(C2×C4).57(S3×D5) = D6⋊4Dic10φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).57(S3xD5)480,512
(C2×C4).58(S3×D5) = D30.7D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).58(S3xD5)480,514
(C2×C4).59(S3×D5) = Dic15⋊2D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).59(S3xD5)480,529
(C2×C4).60(S3×D5) = (C2×Dic6)⋊D5φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).60(S3xD5)480,531
(C2×C4).61(S3×D5) = D6.9D20φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).61(S3xD5)480,533
(C2×C4).62(S3×D5) = D30⋊2D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).62(S3xD5)480,535
(C2×C4).63(S3×D5) = Dic15.10D4φ: S3×D5/C15 → C22 ⊆ Aut C2×C4240(C2xC4).63(S3xD5)480,538
(C2×C4).64(S3×D5) = D20.38D6φ: S3×D5/C15 → C22 ⊆ Aut C2×C42404(C2xC4).64(S3xD5)480,1076
(C2×C4).65(S3×D5) = D20.39D6φ: S3×D5/C15 → C22 ⊆ Aut C2×C42404-(C2xC4).65(S3xD5)480,1077
(C2×C4).66(S3×D5) = C30.C24φ: S3×D5/C15 → C22 ⊆ Aut C2×C42404(C2xC4).66(S3xD5)480,1080
(C2×C4).67(S3×D5) = Dic3⋊5Dic10φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4480(C2xC4).67(S3xD5)480,400
(C2×C4).68(S3×D5) = D6⋊Dic5⋊C2φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).68(S3xD5)480,427
(C2×C4).69(S3×D5) = D6⋊Dic10φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).69(S3xD5)480,428
(C2×C4).70(S3×D5) = Dic3.D20φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).70(S3xD5)480,429
(C2×C4).71(S3×D5) = (C4×Dic3)⋊D5φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).71(S3xD5)480,439
(C2×C4).72(S3×D5) = Dic3.3Dic10φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4480(C2xC4).72(S3xD5)480,455
(C2×C4).73(S3×D5) = C10.D4⋊S3φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).73(S3xD5)480,456
(C2×C4).74(S3×D5) = (D5×Dic3)⋊C4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).74(S3xD5)480,469
(C2×C4).75(S3×D5) = Dic3⋊4D20φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).75(S3xD5)480,471
(C2×C4).76(S3×D5) = S3×C10.D4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).76(S3xD5)480,475
(C2×C4).77(S3×D5) = D30.23(C2×C4)φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).77(S3xD5)480,479
(C2×C4).78(S3×D5) = C15⋊17(C4×D4)φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).78(S3xD5)480,517
(C2×C4).79(S3×D5) = C15⋊22(C4×D4)φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).79(S3xD5)480,522
(C2×C4).80(S3×D5) = D10⋊C4⋊S3φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).80(S3xD5)480,528
(C2×C4).81(S3×D5) = D6⋊D20φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).81(S3xD5)480,530
(C2×C4).82(S3×D5) = C6.D40φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).82(S3xD5)480,41
(C2×C4).83(S3×D5) = D60⋊12C4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).83(S3xD5)480,44
(C2×C4).84(S3×D5) = C6.Dic20φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4480(C2xC4).84(S3xD5)480,47
(C2×C4).85(S3×D5) = Dic30⋊12C4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4480(C2xC4).85(S3xD5)480,50
(C2×C4).86(S3×D5) = C60.97D4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C41204(C2xC4).86(S3xD5)480,53
(C2×C4).87(S3×D5) = D60⋊13C4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C41204(C2xC4).87(S3xD5)480,56
(C2×C4).88(S3×D5) = C60.Q8φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4480(C2xC4).88(S3xD5)480,63
(C2×C4).89(S3×D5) = C60.5Q8φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4480(C2xC4).89(S3xD5)480,66
(C2×C4).90(S3×D5) = C12.59D20φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C42404(C2xC4).90(S3xD5)480,69
(C2×C4).91(S3×D5) = D20.3Dic3φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C42404(C2xC4).91(S3xD5)480,359
(C2×C4).92(S3×D5) = S3×C4.Dic5φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C41204(C2xC4).92(S3xD5)480,363
(C2×C4).93(S3×D5) = D60.4C4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C42404(C2xC4).93(S3xD5)480,367
(C2×C4).94(S3×D5) = C2×C3⋊D40φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).94(S3xD5)480,376
(C2×C4).95(S3×D5) = C2×C6.D20φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).95(S3xD5)480,386
(C2×C4).96(S3×D5) = D20.31D6φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C42404(C2xC4).96(S3xD5)480,387
(C2×C4).97(S3×D5) = C2×C15⋊SD16φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).97(S3xD5)480,390
(C2×C4).98(S3×D5) = C2×C3⋊Dic20φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4480(C2xC4).98(S3xD5)480,395
(C2×C4).99(S3×D5) = Dic3×Dic10φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4480(C2xC4).99(S3xD5)480,406
(C2×C4).100(S3×D5) = (S3×C20)⋊5C4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).100(S3xD5)480,414
(C2×C4).101(S3×D5) = Dic30⋊14C4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4480(C2xC4).101(S3xD5)480,416
(C2×C4).102(S3×D5) = C60.44D4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).102(S3xD5)480,440
(C2×C4).103(S3×D5) = C60.45D4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).103(S3xD5)480,441
(C2×C4).104(S3×D5) = C60.46D4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).104(S3xD5)480,445
(C2×C4).105(S3×D5) = C60.47D4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).105(S3xD5)480,450
(C2×C4).106(S3×D5) = C60.6Q8φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4480(C2xC4).106(S3xD5)480,457
(C2×C4).107(S3×D5) = C60.48D4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4480(C2xC4).107(S3xD5)480,465
(C2×C4).108(S3×D5) = Dic3×D20φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).108(S3xD5)480,501
(C2×C4).109(S3×D5) = S3×C4⋊Dic5φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).109(S3xD5)480,502
(C2×C4).110(S3×D5) = D60⋊14C4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).110(S3xD5)480,504
(C2×C4).111(S3×D5) = C60⋊4D4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).111(S3xD5)480,532
(C2×C4).112(S3×D5) = C12⋊D20φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).112(S3xD5)480,534
(C2×C4).113(S3×D5) = C60⋊6D4φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).113(S3xD5)480,536
(C2×C4).114(S3×D5) = C20⋊4Dic6φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4480(C2xC4).114(S3xD5)480,545
(C2×C4).115(S3×D5) = C2×D20⋊5S3φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).115(S3xD5)480,1074
(C2×C4).116(S3×D5) = C2×S3×Dic10φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).116(S3xD5)480,1078
(C2×C4).117(S3×D5) = C2×D60⋊C2φ: S3×D5/C5×S3 → C2 ⊆ Aut C2×C4240(C2xC4).117(S3xD5)480,1081
(C2×C4).118(S3×D5) = Dic5⋊5Dic6φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).118(S3xD5)480,399
(C2×C4).119(S3×D5) = Dic3⋊C4⋊D5φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).119(S3xD5)480,424
(C2×C4).120(S3×D5) = D10⋊Dic6φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).120(S3xD5)480,425
(C2×C4).121(S3×D5) = Dic5.8D12φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).121(S3xD5)480,426
(C2×C4).122(S3×D5) = C5⋊(C42⋊3S3)φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).122(S3xD5)480,448
(C2×C4).123(S3×D5) = Dic5.7Dic6φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).123(S3xD5)480,454
(C2×C4).124(S3×D5) = (C4×Dic5)⋊S3φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).124(S3xD5)480,463
(C2×C4).125(S3×D5) = D5×Dic3⋊C4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).125(S3xD5)480,468
(C2×C4).126(S3×D5) = D6.(C4×D5)φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).126(S3xD5)480,474
(C2×C4).127(S3×D5) = D30.C2⋊C4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).127(S3xD5)480,478
(C2×C4).128(S3×D5) = Dic5⋊4D12φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).128(S3xD5)480,481
(C2×C4).129(S3×D5) = D6⋊(C4×D5)φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).129(S3xD5)480,516
(C2×C4).130(S3×D5) = C15⋊20(C4×D4)φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).130(S3xD5)480,520
(C2×C4).131(S3×D5) = D6⋊C4⋊D5φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).131(S3xD5)480,523
(C2×C4).132(S3×D5) = D10⋊D12φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).132(S3xD5)480,524
(C2×C4).133(S3×D5) = C10.D24φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).133(S3xD5)480,43
(C2×C4).134(S3×D5) = D60⋊15C4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).134(S3xD5)480,45
(C2×C4).135(S3×D5) = C10.Dic12φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).135(S3xD5)480,49
(C2×C4).136(S3×D5) = Dic30⋊15C4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).136(S3xD5)480,51
(C2×C4).137(S3×D5) = C60.99D4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C41204(C2xC4).137(S3xD5)480,55
(C2×C4).138(S3×D5) = D60⋊16C4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C41204(C2xC4).138(S3xD5)480,57
(C2×C4).139(S3×D5) = C60.7Q8φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).139(S3xD5)480,61
(C2×C4).140(S3×D5) = C60.8Q8φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).140(S3xD5)480,64
(C2×C4).141(S3×D5) = C60.105D4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C42404(C2xC4).141(S3xD5)480,67
(C2×C4).142(S3×D5) = D5×C4.Dic3φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C41204(C2xC4).142(S3xD5)480,358
(C2×C4).143(S3×D5) = D12.2Dic5φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C42404(C2xC4).143(S3xD5)480,362
(C2×C4).144(S3×D5) = D60.5C4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C42404(C2xC4).144(S3xD5)480,366
(C2×C4).145(S3×D5) = C2×C5⋊D24φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).145(S3xD5)480,378
(C2×C4).146(S3×D5) = C20.60D12φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C42404(C2xC4).146(S3xD5)480,379
(C2×C4).147(S3×D5) = C2×D12.D5φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).147(S3xD5)480,392
(C2×C4).148(S3×D5) = C2×Dic6⋊D5φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).148(S3xD5)480,393
(C2×C4).149(S3×D5) = C2×C5⋊Dic12φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).149(S3xD5)480,396
(C2×C4).150(S3×D5) = Dic5×Dic6φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).150(S3xD5)480,408
(C2×C4).151(S3×D5) = Dic30⋊17C4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).151(S3xD5)480,409
(C2×C4).152(S3×D5) = (C4×D5)⋊Dic3φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).152(S3xD5)480,434
(C2×C4).153(S3×D5) = C60.67D4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).153(S3xD5)480,435
(C2×C4).154(S3×D5) = C60.68D4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).154(S3xD5)480,436
(C2×C4).155(S3×D5) = C60.69D4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).155(S3xD5)480,449
(C2×C4).156(S3×D5) = C60.70D4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).156(S3xD5)480,451
(C2×C4).157(S3×D5) = Dic5⋊Dic6φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).157(S3xD5)480,452
(C2×C4).158(S3×D5) = C20.Dic6φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).158(S3xD5)480,464
(C2×C4).159(S3×D5) = D5×C4⋊Dic3φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).159(S3xD5)480,488
(C2×C4).160(S3×D5) = Dic5×D12φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).160(S3xD5)480,491
(C2×C4).161(S3×D5) = D60⋊17C4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).161(S3xD5)480,494
(C2×C4).162(S3×D5) = C60⋊D4φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).162(S3xD5)480,525
(C2×C4).163(S3×D5) = C12⋊7D20φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).163(S3xD5)480,526
(C2×C4).164(S3×D5) = C20⋊D12φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).164(S3xD5)480,527
(C2×C4).165(S3×D5) = C60⋊Q8φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4480(C2xC4).165(S3xD5)480,544
(C2×C4).166(S3×D5) = C2×D5×Dic6φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).166(S3xD5)480,1073
(C2×C4).167(S3×D5) = C2×D12⋊5D5φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).167(S3xD5)480,1084
(C2×C4).168(S3×D5) = C2×C12.28D10φ: S3×D5/C3×D5 → C2 ⊆ Aut C2×C4240(C2xC4).168(S3xD5)480,1085
(C2×C4).169(S3×D5) = Dic15⋊5Q8φ: S3×D5/D15 → C2 ⊆ Aut C2×C4480(C2xC4).169(S3xD5)480,401
(C2×C4).170(S3×D5) = D30.34D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).170(S3xD5)480,430
(C2×C4).171(S3×D5) = D30.35D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).171(S3xD5)480,431
(C2×C4).172(S3×D5) = (C4×Dic15)⋊C2φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).172(S3xD5)480,442
(C2×C4).173(S3×D5) = D6⋊Dic5.C2φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).173(S3xD5)480,443
(C2×C4).174(S3×D5) = D30⋊8Q8φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).174(S3xD5)480,453
(C2×C4).175(S3×D5) = Dic15.4Q8φ: S3×D5/D15 → C2 ⊆ Aut C2×C4480(C2xC4).175(S3xD5)480,458
(C2×C4).176(S3×D5) = D10.19(C4×S3)φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).176(S3xD5)480,470
(C2×C4).177(S3×D5) = Dic15⋊13D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).177(S3xD5)480,472
(C2×C4).178(S3×D5) = (S3×Dic5)⋊C4φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).178(S3xD5)480,476
(C2×C4).179(S3×D5) = D30.Q8φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).179(S3xD5)480,480
(C2×C4).180(S3×D5) = Dic15⋊14D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).180(S3xD5)480,482
(C2×C4).181(S3×D5) = Dic15⋊9D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).181(S3xD5)480,518
(C2×C4).182(S3×D5) = D30⋊12D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).182(S3xD5)480,537
(C2×C4).183(S3×D5) = Dic15.31D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).183(S3xD5)480,540
(C2×C4).184(S3×D5) = C30.D8φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).184(S3xD5)480,40
(C2×C4).185(S3×D5) = D12⋊Dic5φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).185(S3xD5)480,42
(C2×C4).186(S3×D5) = C30.Q16φ: S3×D5/D15 → C2 ⊆ Aut C2×C4480(C2xC4).186(S3xD5)480,46
(C2×C4).187(S3×D5) = Dic6⋊Dic5φ: S3×D5/D15 → C2 ⊆ Aut C2×C4480(C2xC4).187(S3xD5)480,48
(C2×C4).188(S3×D5) = C60.96D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C41204(C2xC4).188(S3xD5)480,52
(C2×C4).189(S3×D5) = C60.98D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C41204(C2xC4).189(S3xD5)480,54
(C2×C4).190(S3×D5) = C30.SD16φ: S3×D5/D15 → C2 ⊆ Aut C2×C4480(C2xC4).190(S3xD5)480,62
(C2×C4).191(S3×D5) = C30.20D8φ: S3×D5/D15 → C2 ⊆ Aut C2×C4480(C2xC4).191(S3xD5)480,65
(C2×C4).192(S3×D5) = C60.D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C42404(C2xC4).192(S3xD5)480,68
(C2×C4).193(S3×D5) = D20.2Dic3φ: S3×D5/D15 → C2 ⊆ Aut C2×C42404(C2xC4).193(S3xD5)480,360
(C2×C4).194(S3×D5) = D12.Dic5φ: S3×D5/D15 → C2 ⊆ Aut C2×C42404(C2xC4).194(S3xD5)480,364
(C2×C4).195(S3×D5) = D15⋊4M4(2)φ: S3×D5/D15 → C2 ⊆ Aut C2×C41204(C2xC4).195(S3xD5)480,368
(C2×C4).196(S3×D5) = C2×C15⋊D8φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).196(S3xD5)480,372
(C2×C4).197(S3×D5) = D20.34D6φ: S3×D5/D15 → C2 ⊆ Aut C2×C42404(C2xC4).197(S3xD5)480,373
(C2×C4).198(S3×D5) = C2×C30.D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).198(S3xD5)480,382
(C2×C4).199(S3×D5) = C2×C20.D6φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).199(S3xD5)480,384
(C2×C4).200(S3×D5) = C2×C15⋊Q16φ: S3×D5/D15 → C2 ⊆ Aut C2×C4480(C2xC4).200(S3xD5)480,394
(C2×C4).201(S3×D5) = Dic15⋊6Q8φ: S3×D5/D15 → C2 ⊆ Aut C2×C4480(C2xC4).201(S3xD5)480,407
(C2×C4).202(S3×D5) = Dic15⋊7Q8φ: S3×D5/D15 → C2 ⊆ Aut C2×C4480(C2xC4).202(S3xD5)480,420
(C2×C4).203(S3×D5) = (C4×D15)⋊8C4φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).203(S3xD5)480,423
(C2×C4).204(S3×D5) = C60.88D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).204(S3xD5)480,444
(C2×C4).205(S3×D5) = C60.89D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).205(S3xD5)480,446
(C2×C4).206(S3×D5) = D30⋊9Q8φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).206(S3xD5)480,459
(C2×C4).207(S3×D5) = C12.Dic10φ: S3×D5/D15 → C2 ⊆ Aut C2×C4480(C2xC4).207(S3xD5)480,460
(C2×C4).208(S3×D5) = Dic15⋊8Q8φ: S3×D5/D15 → C2 ⊆ Aut C2×C4480(C2xC4).208(S3xD5)480,461
(C2×C4).209(S3×D5) = D30⋊10Q8φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).209(S3xD5)480,466
(C2×C4).210(S3×D5) = D20⋊8Dic3φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).210(S3xD5)480,510
(C2×C4).211(S3×D5) = Dic15⋊8D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).211(S3xD5)480,511
(C2×C4).212(S3×D5) = D30.2Q8φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).212(S3xD5)480,513
(C2×C4).213(S3×D5) = C60⋊10D4φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).213(S3xD5)480,539
(C2×C4).214(S3×D5) = C12⋊2D20φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).214(S3xD5)480,541
(C2×C4).215(S3×D5) = C20⋊2D12φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).215(S3xD5)480,542
(C2×C4).216(S3×D5) = C20⋊Dic6φ: S3×D5/D15 → C2 ⊆ Aut C2×C4480(C2xC4).216(S3xD5)480,546
(C2×C4).217(S3×D5) = C2×D20⋊S3φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).217(S3xD5)480,1075
(C2×C4).218(S3×D5) = C2×D12⋊D5φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).218(S3xD5)480,1079
(C2×C4).219(S3×D5) = C2×D15⋊Q8φ: S3×D5/D15 → C2 ⊆ Aut C2×C4240(C2xC4).219(S3xD5)480,1082
(C2×C4).220(S3×D5) = Dic5×C3⋊C8central extension (φ=1)480(C2xC4).220(S3xD5)480,25
(C2×C4).221(S3×D5) = Dic3×C5⋊2C8central extension (φ=1)480(C2xC4).221(S3xD5)480,26
(C2×C4).222(S3×D5) = Dic15⋊4C8central extension (φ=1)480(C2xC4).222(S3xD5)480,27
(C2×C4).223(S3×D5) = C30.21C42central extension (φ=1)480(C2xC4).223(S3xD5)480,28
(C2×C4).224(S3×D5) = C30.22C42central extension (φ=1)480(C2xC4).224(S3xD5)480,29
(C2×C4).225(S3×D5) = C30.23C42central extension (φ=1)480(C2xC4).225(S3xD5)480,30
(C2×C4).226(S3×D5) = C60.93D4central extension (φ=1)240(C2xC4).226(S3xD5)480,31
(C2×C4).227(S3×D5) = C60.94D4central extension (φ=1)240(C2xC4).227(S3xD5)480,32
(C2×C4).228(S3×D5) = D30⋊4C8central extension (φ=1)240(C2xC4).228(S3xD5)480,33
(C2×C4).229(S3×D5) = C60.13Q8central extension (φ=1)480(C2xC4).229(S3xD5)480,58
(C2×C4).230(S3×D5) = C60.14Q8central extension (φ=1)480(C2xC4).230(S3xD5)480,59
(C2×C4).231(S3×D5) = C60.15Q8central extension (φ=1)480(C2xC4).231(S3xD5)480,60
(C2×C4).232(S3×D5) = C2×D5×C3⋊C8central extension (φ=1)240(C2xC4).232(S3xD5)480,357
(C2×C4).233(S3×D5) = C2×S3×C5⋊2C8central extension (φ=1)240(C2xC4).233(S3xD5)480,361
(C2×C4).234(S3×D5) = C2×D15⋊2C8central extension (φ=1)240(C2xC4).234(S3xD5)480,365
(C2×C4).235(S3×D5) = C2×C20.32D6central extension (φ=1)240(C2xC4).235(S3xD5)480,369
(C2×C4).236(S3×D5) = C2×D6.Dic5central extension (φ=1)240(C2xC4).236(S3xD5)480,370
(C2×C4).237(S3×D5) = C2×D30.5C4central extension (φ=1)240(C2xC4).237(S3xD5)480,371
(C2×C4).238(S3×D5) = (D5×C12)⋊C4central extension (φ=1)240(C2xC4).238(S3xD5)480,433
(C2×C4).239(S3×D5) = (S3×C20)⋊7C4central extension (φ=1)240(C2xC4).239(S3xD5)480,447
(C2×C4).240(S3×D5) = (C4×D15)⋊10C4central extension (φ=1)240(C2xC4).240(S3xD5)480,462
(C2×C4).241(S3×D5) = C4×D5×Dic3central extension (φ=1)240(C2xC4).241(S3xD5)480,467
(C2×C4).242(S3×D5) = C4×S3×Dic5central extension (φ=1)240(C2xC4).242(S3xD5)480,473
(C2×C4).243(S3×D5) = C4×D30.C2central extension (φ=1)240(C2xC4).243(S3xD5)480,477
(C2×C4).244(S3×D5) = C4×C15⋊D4central extension (φ=1)240(C2xC4).244(S3xD5)480,515
(C2×C4).245(S3×D5) = C4×C3⋊D20central extension (φ=1)240(C2xC4).245(S3xD5)480,519
(C2×C4).246(S3×D5) = C4×C5⋊D12central extension (φ=1)240(C2xC4).246(S3xD5)480,521
(C2×C4).247(S3×D5) = C4×C15⋊Q8central extension (φ=1)480(C2xC4).247(S3xD5)480,543
(C2×C4).248(S3×D5) = C2×D6.D10central extension (φ=1)240(C2xC4).248(S3xD5)480,1083

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