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Extensions 1→N→G→Q→1 with N=C10 and Q=S3×D4

Direct product G=N×Q with N=C10 and Q=S3×D4
dρLabelID
S3×D4×C10120S3xD4xC10480,1154

Semidirect products G=N:Q with N=C10 and Q=S3×D4
extensionφ:Q→Aut NdρLabelID
C10⋊1(S3×D4) = C2×S3×D20φ: S3×D4/C4×S3 → C2 ⊆ Aut C10120C10:1(S3xD4)480,1088
C10⋊2(S3×D4) = C2×C20⋊D6φ: S3×D4/D12 → C2 ⊆ Aut C10120C10:2(S3xD4)480,1089
C10⋊3(S3×D4) = C2×D10⋊D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10120C10:3(S3xD4)480,1124
C10⋊4(S3×D4) = C2×D4×D15φ: S3×D4/C3×D4 → C2 ⊆ Aut C10120C10:4(S3xD4)480,1169
C10⋊5(S3×D4) = C2×S3×C5⋊D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C10120C10:5(S3xD4)480,1123

Non-split extensions G=N.Q with N=C10 and Q=S3×D4
extensionφ:Q→Aut NdρLabelID
C10.1(S3×D4) = S3×C40⋊C2φ: S3×D4/C4×S3 → C2 ⊆ Aut C101204C10.1(S3xD4)480,327
C10.2(S3×D4) = S3×D40φ: S3×D4/C4×S3 → C2 ⊆ Aut C101204+C10.2(S3xD4)480,328
C10.3(S3×D4) = C40⋊1D6φ: S3×D4/C4×S3 → C2 ⊆ Aut C101204+C10.3(S3xD4)480,329
C10.4(S3×D4) = D40⋊S3φ: S3×D4/C4×S3 → C2 ⊆ Aut C101204C10.4(S3xD4)480,330
C10.5(S3×D4) = S3×Dic20φ: S3×D4/C4×S3 → C2 ⊆ Aut C102404-C10.5(S3xD4)480,338
C10.6(S3×D4) = Dic20⋊S3φ: S3×D4/C4×S3 → C2 ⊆ Aut C102404C10.6(S3xD4)480,339
C10.7(S3×D4) = D6.1D20φ: S3×D4/C4×S3 → C2 ⊆ Aut C102404C10.7(S3xD4)480,348
C10.8(S3×D4) = D40⋊7S3φ: S3×D4/C4×S3 → C2 ⊆ Aut C102404-C10.8(S3xD4)480,349
C10.9(S3×D4) = C40.2D6φ: S3×D4/C4×S3 → C2 ⊆ Aut C102404-C10.9(S3xD4)480,350
C10.10(S3×D4) = D120⋊5C2φ: S3×D4/C4×S3 → C2 ⊆ Aut C102404+C10.10(S3xD4)480,351
C10.11(S3×D4) = Dic3.D20φ: S3×D4/C4×S3 → C2 ⊆ Aut C10240C10.11(S3xD4)480,429
C10.12(S3×D4) = Dic3⋊4D20φ: S3×D4/C4×S3 → C2 ⊆ Aut C10240C10.12(S3xD4)480,471
C10.13(S3×D4) = Dic3⋊D20φ: S3×D4/C4×S3 → C2 ⊆ Aut C10240C10.13(S3xD4)480,485
C10.14(S3×D4) = D10⋊2Dic6φ: S3×D4/C4×S3 → C2 ⊆ Aut C10240C10.14(S3xD4)480,498
C10.15(S3×D4) = Dic3×D20φ: S3×D4/C4×S3 → C2 ⊆ Aut C10240C10.15(S3xD4)480,501
C10.16(S3×D4) = S3×C4⋊Dic5φ: S3×D4/C4×S3 → C2 ⊆ Aut C10240C10.16(S3xD4)480,502
C10.17(S3×D4) = D6.D20φ: S3×D4/C4×S3 → C2 ⊆ Aut C10240C10.17(S3xD4)480,503
C10.18(S3×D4) = D60⋊14C4φ: S3×D4/C4×S3 → C2 ⊆ Aut C10240C10.18(S3xD4)480,504
C10.19(S3×D4) = D30⋊4Q8φ: S3×D4/C4×S3 → C2 ⊆ Aut C10240C10.19(S3xD4)480,505
C10.20(S3×D4) = C60⋊4D4φ: S3×D4/C4×S3 → C2 ⊆ Aut C10240C10.20(S3xD4)480,532
C10.21(S3×D4) = D6.9D20φ: S3×D4/C4×S3 → C2 ⊆ Aut C10240C10.21(S3xD4)480,533
C10.22(S3×D4) = C12⋊D20φ: S3×D4/C4×S3 → C2 ⊆ Aut C10240C10.22(S3xD4)480,534
C10.23(S3×D4) = C60⋊6D4φ: S3×D4/C4×S3 → C2 ⊆ Aut C10240C10.23(S3xD4)480,536
C10.24(S3×D4) = C20⋊4Dic6φ: S3×D4/C4×S3 → C2 ⊆ Aut C10480C10.24(S3xD4)480,545
C10.25(S3×D4) = S3×D10⋊C4φ: S3×D4/C4×S3 → C2 ⊆ Aut C10120C10.25(S3xD4)480,548
C10.26(S3×D4) = D6⋊4D20φ: S3×D4/C4×S3 → C2 ⊆ Aut C10120C10.26(S3xD4)480,550
C10.27(S3×D4) = D30⋊5D4φ: S3×D4/C4×S3 → C2 ⊆ Aut C10120C10.27(S3xD4)480,552
C10.28(S3×D4) = C40⋊14D6φ: S3×D4/D12 → C2 ⊆ Aut C101204C10.28(S3xD4)480,331
C10.29(S3×D4) = C40⋊5D6φ: S3×D4/D12 → C2 ⊆ Aut C101204C10.29(S3xD4)480,332
C10.30(S3×D4) = D24⋊6D5φ: S3×D4/D12 → C2 ⊆ Aut C101204C10.30(S3xD4)480,333
C10.31(S3×D4) = C40⋊8D6φ: S3×D4/D12 → C2 ⊆ Aut C101204C10.31(S3xD4)480,334
C10.32(S3×D4) = Dic10.D6φ: S3×D4/D12 → C2 ⊆ Aut C102404C10.32(S3xD4)480,340
C10.33(S3×D4) = Dic6.D10φ: S3×D4/D12 → C2 ⊆ Aut C102404C10.33(S3xD4)480,352
C10.34(S3×D4) = D40⋊5S3φ: S3×D4/D12 → C2 ⊆ Aut C102404C10.34(S3xD4)480,353
C10.35(S3×D4) = D30.3D4φ: S3×D4/D12 → C2 ⊆ Aut C102404C10.35(S3xD4)480,354
C10.36(S3×D4) = D24⋊5D5φ: S3×D4/D12 → C2 ⊆ Aut C102404C10.36(S3xD4)480,355
C10.37(S3×D4) = D30.4D4φ: S3×D4/D12 → C2 ⊆ Aut C102404C10.37(S3xD4)480,356
C10.38(S3×D4) = D30.D4φ: S3×D4/D12 → C2 ⊆ Aut C10240C10.38(S3xD4)480,432
C10.39(S3×D4) = Dic15⋊D4φ: S3×D4/D12 → C2 ⊆ Aut C10240C10.39(S3xD4)480,484
C10.40(S3×D4) = Dic15.D4φ: S3×D4/D12 → C2 ⊆ Aut C10240C10.40(S3xD4)480,506
C10.41(S3×D4) = D20⋊8Dic3φ: S3×D4/D12 → C2 ⊆ Aut C10240C10.41(S3xD4)480,510
C10.42(S3×D4) = Dic15⋊8D4φ: S3×D4/D12 → C2 ⊆ Aut C10240C10.42(S3xD4)480,511
C10.43(S3×D4) = D6⋊4Dic10φ: S3×D4/D12 → C2 ⊆ Aut C10240C10.43(S3xD4)480,512
C10.44(S3×D4) = D30.2Q8φ: S3×D4/D12 → C2 ⊆ Aut C10240C10.44(S3xD4)480,513
C10.45(S3×D4) = D30.7D4φ: S3×D4/D12 → C2 ⊆ Aut C10240C10.45(S3xD4)480,514
C10.46(S3×D4) = Dic15⋊9D4φ: S3×D4/D12 → C2 ⊆ Aut C10240C10.46(S3xD4)480,518
C10.47(S3×D4) = Dic15⋊2D4φ: S3×D4/D12 → C2 ⊆ Aut C10240C10.47(S3xD4)480,529
C10.48(S3×D4) = C60⋊10D4φ: S3×D4/D12 → C2 ⊆ Aut C10240C10.48(S3xD4)480,539
C10.49(S3×D4) = Dic15.31D4φ: S3×D4/D12 → C2 ⊆ Aut C10240C10.49(S3xD4)480,540
C10.50(S3×D4) = C12⋊2D20φ: S3×D4/D12 → C2 ⊆ Aut C10240C10.50(S3xD4)480,541
C10.51(S3×D4) = C20⋊2D12φ: S3×D4/D12 → C2 ⊆ Aut C10240C10.51(S3xD4)480,542
C10.52(S3×D4) = C20⋊Dic6φ: S3×D4/D12 → C2 ⊆ Aut C10480C10.52(S3xD4)480,546
C10.53(S3×D4) = D30.27D4φ: S3×D4/D12 → C2 ⊆ Aut C10120C10.53(S3xD4)480,549
C10.54(S3×D4) = Dic3⋊Dic10φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10480C10.54(S3xD4)480,404
C10.55(S3×D4) = D30.34D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.55(S3xD4)480,430
C10.56(S3×D4) = D30.35D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.56(S3xD4)480,431
C10.57(S3×D4) = D30⋊8Q8φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.57(S3xD4)480,453
C10.58(S3×D4) = Dic15⋊13D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.58(S3xD4)480,472
C10.59(S3×D4) = D30.Q8φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.59(S3xD4)480,480
C10.60(S3×D4) = Dic15⋊14D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.60(S3xD4)480,482
C10.61(S3×D4) = D30⋊D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.61(S3xD4)480,496
C10.62(S3×D4) = D10⋊4Dic6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.62(S3xD4)480,507
C10.63(S3×D4) = D6⋊3Dic10φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.63(S3xD4)480,508
C10.64(S3×D4) = D30.6D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.64(S3xD4)480,509
C10.65(S3×D4) = D30⋊2D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.65(S3xD4)480,535
C10.66(S3×D4) = D30⋊12D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.66(S3xD4)480,537
C10.67(S3×D4) = Dic15.10D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.67(S3xD4)480,538
C10.68(S3×D4) = D15⋊D8φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C101208+C10.68(S3xD4)480,557
C10.69(S3×D4) = D30.8D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C101208-C10.69(S3xD4)480,558
C10.70(S3×D4) = Dic10⋊D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C101208+C10.70(S3xD4)480,563
C10.71(S3×D4) = D30.9D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C102408-C10.71(S3xD4)480,564
C10.72(S3×D4) = D20.10D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C102408-C10.72(S3xD4)480,573
C10.73(S3×D4) = Dic6⋊D10φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C101208+C10.73(S3xD4)480,574
C10.74(S3×D4) = D30.11D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C102408-C10.74(S3xD4)480,575
C10.75(S3×D4) = D12⋊5D10φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C101208+C10.75(S3xD4)480,576
C10.76(S3×D4) = D15⋊SD16φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C101208-C10.76(S3xD4)480,581
C10.77(S3×D4) = D60⋊C22φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C101208+C10.77(S3xD4)480,582
C10.78(S3×D4) = D15⋊Q16φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C102408-C10.78(S3xD4)480,587
C10.79(S3×D4) = C60.C23φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C102408+C10.79(S3xD4)480,588
C10.80(S3×D4) = D20.16D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C102408+C10.80(S3xD4)480,597
C10.81(S3×D4) = D20.17D6φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C102408-C10.81(S3xD4)480,598
C10.82(S3×D4) = D12.D10φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C102408+C10.82(S3xD4)480,599
C10.83(S3×D4) = D30.44D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C102408-C10.83(S3xD4)480,600
C10.84(S3×D4) = Dic15.19D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.84(S3xD4)480,602
C10.85(S3×D4) = D30⋊6D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.85(S3xD4)480,609
C10.86(S3×D4) = Dic15⋊3D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.86(S3xD4)480,626
C10.87(S3×D4) = D30⋊7D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.87(S3xD4)480,633
C10.88(S3×D4) = Dic15⋊16D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.88(S3xD4)480,635
C10.89(S3×D4) = Dic15⋊17D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.89(S3xD4)480,636
C10.90(S3×D4) = D30.45D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10120C10.90(S3xD4)480,637
C10.91(S3×D4) = D30.16D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.91(S3xD4)480,638
C10.92(S3×D4) = Dic15⋊5D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.92(S3xD4)480,643
C10.93(S3×D4) = Dic15⋊18D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.93(S3xD4)480,647
C10.94(S3×D4) = D30⋊18D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10120C10.94(S3xD4)480,648
C10.95(S3×D4) = D30⋊19D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10120C10.95(S3xD4)480,649
C10.96(S3×D4) = Dic15.48D4φ: S3×D4/C3⋊D4 → C2 ⊆ Aut C10240C10.96(S3xD4)480,652
C10.97(S3×D4) = C22⋊2Dic30φ: S3×D4/C3×D4 → C2 ⊆ Aut C10240C10.97(S3xD4)480,843
C10.98(S3×D4) = C22⋊C4×D15φ: S3×D4/C3×D4 → C2 ⊆ Aut C10120C10.98(S3xD4)480,845
C10.99(S3×D4) = Dic15⋊19D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C10240C10.99(S3xD4)480,846
C10.100(S3×D4) = D30⋊16D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C10120C10.100(S3xD4)480,847
C10.101(S3×D4) = D30.28D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C10240C10.101(S3xD4)480,848
C10.102(S3×D4) = D30⋊9D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C10240C10.102(S3xD4)480,849
C10.103(S3×D4) = C23.11D30φ: S3×D4/C3×D4 → C2 ⊆ Aut C10240C10.103(S3xD4)480,850
C10.104(S3×D4) = C4⋊Dic30φ: S3×D4/C3×D4 → C2 ⊆ Aut C10480C10.104(S3xD4)480,853
C10.105(S3×D4) = C4⋊C4×D15φ: S3×D4/C3×D4 → C2 ⊆ Aut C10240C10.105(S3xD4)480,856
C10.106(S3×D4) = D60⋊11C4φ: S3×D4/C3×D4 → C2 ⊆ Aut C10240C10.106(S3xD4)480,858
C10.107(S3×D4) = D30.29D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C10240C10.107(S3xD4)480,859
C10.108(S3×D4) = C4⋊D60φ: S3×D4/C3×D4 → C2 ⊆ Aut C10240C10.108(S3xD4)480,860
C10.109(S3×D4) = D30⋊5Q8φ: S3×D4/C3×D4 → C2 ⊆ Aut C10240C10.109(S3xD4)480,861
C10.110(S3×D4) = D8×D15φ: S3×D4/C3×D4 → C2 ⊆ Aut C101204+C10.110(S3xD4)480,875
C10.111(S3×D4) = D8⋊D15φ: S3×D4/C3×D4 → C2 ⊆ Aut C101204C10.111(S3xD4)480,876
C10.112(S3×D4) = D8⋊3D15φ: S3×D4/C3×D4 → C2 ⊆ Aut C102404-C10.112(S3xD4)480,877
C10.113(S3×D4) = SD16×D15φ: S3×D4/C3×D4 → C2 ⊆ Aut C101204C10.113(S3xD4)480,878
C10.114(S3×D4) = Q8⋊3D30φ: S3×D4/C3×D4 → C2 ⊆ Aut C101204+C10.114(S3xD4)480,879
C10.115(S3×D4) = SD16⋊D15φ: S3×D4/C3×D4 → C2 ⊆ Aut C102404-C10.115(S3xD4)480,880
C10.116(S3×D4) = D4.5D30φ: S3×D4/C3×D4 → C2 ⊆ Aut C102404C10.116(S3xD4)480,881
C10.117(S3×D4) = Q16×D15φ: S3×D4/C3×D4 → C2 ⊆ Aut C102404-C10.117(S3xD4)480,882
C10.118(S3×D4) = Q16⋊D15φ: S3×D4/C3×D4 → C2 ⊆ Aut C102404C10.118(S3xD4)480,883
C10.119(S3×D4) = D120⋊8C2φ: S3×D4/C3×D4 → C2 ⊆ Aut C102404+C10.119(S3xD4)480,884
C10.120(S3×D4) = D4×Dic15φ: S3×D4/C3×D4 → C2 ⊆ Aut C10240C10.120(S3xD4)480,899
C10.121(S3×D4) = D30⋊17D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C10120C10.121(S3xD4)480,902
C10.122(S3×D4) = C60⋊2D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C10240C10.122(S3xD4)480,903
C10.123(S3×D4) = Dic15⋊12D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C10240C10.123(S3xD4)480,904
C10.124(S3×D4) = C60⋊3D4φ: S3×D4/C3×D4 → C2 ⊆ Aut C10240C10.124(S3xD4)480,905
C10.125(S3×D4) = Dic15⋊Q8φ: S3×D4/C22×S3 → C2 ⊆ Aut C10480C10.125(S3xD4)480,405
C10.126(S3×D4) = D6⋊Dic5⋊C2φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.126(S3xD4)480,427
C10.127(S3×D4) = D6⋊Dic10φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.127(S3xD4)480,428
C10.128(S3×D4) = S3×C10.D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.128(S3xD4)480,475
C10.129(S3×D4) = Dic5⋊D12φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.129(S3xD4)480,492
C10.130(S3×D4) = D10⋊1Dic6φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.130(S3xD4)480,497
C10.131(S3×D4) = (C2×D12).D5φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.131(S3xD4)480,499
C10.132(S3×D4) = D30⋊3Q8φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.132(S3xD4)480,500
C10.133(S3×D4) = C15⋊17(C4×D4)φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.133(S3xD4)480,517
C10.134(S3×D4) = C15⋊22(C4×D4)φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.134(S3xD4)480,522
C10.135(S3×D4) = D10⋊C4⋊S3φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.135(S3xD4)480,528
C10.136(S3×D4) = D6⋊D20φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.136(S3xD4)480,530
C10.137(S3×D4) = (C2×Dic6)⋊D5φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.137(S3xD4)480,531
C10.138(S3×D4) = D30⋊4D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C10120C10.138(S3xD4)480,551
C10.139(S3×D4) = S3×D4⋊D5φ: S3×D4/C22×S3 → C2 ⊆ Aut C101208+C10.139(S3xD4)480,555
C10.140(S3×D4) = D60.C22φ: S3×D4/C22×S3 → C2 ⊆ Aut C101208+C10.140(S3xD4)480,556
C10.141(S3×D4) = S3×D4.D5φ: S3×D4/C22×S3 → C2 ⊆ Aut C101208-C10.141(S3xD4)480,561
C10.142(S3×D4) = C60.10C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C102408-C10.142(S3xD4)480,562
C10.143(S3×D4) = D20.24D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C102408-C10.143(S3xD4)480,569
C10.144(S3×D4) = D20⋊10D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C101208-C10.144(S3xD4)480,570
C10.145(S3×D4) = C60.19C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C102408+C10.145(S3xD4)480,571
C10.146(S3×D4) = D12.9D10φ: S3×D4/C22×S3 → C2 ⊆ Aut C101208+C10.146(S3xD4)480,572
C10.147(S3×D4) = S3×Q8⋊D5φ: S3×D4/C22×S3 → C2 ⊆ Aut C101208+C10.147(S3xD4)480,579
C10.148(S3×D4) = D12⋊D10φ: S3×D4/C22×S3 → C2 ⊆ Aut C101208+C10.148(S3xD4)480,580
C10.149(S3×D4) = S3×C5⋊Q16φ: S3×D4/C22×S3 → C2 ⊆ Aut C102408-C10.149(S3xD4)480,585
C10.150(S3×D4) = Dic10.26D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C102408-C10.150(S3xD4)480,586
C10.151(S3×D4) = D20.27D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C102408-C10.151(S3xD4)480,593
C10.152(S3×D4) = D20.28D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C102408-C10.152(S3xD4)480,594
C10.153(S3×D4) = Dic10.27D6φ: S3×D4/C22×S3 → C2 ⊆ Aut C102408+C10.153(S3xD4)480,595
C10.154(S3×D4) = C60.44C23φ: S3×D4/C22×S3 → C2 ⊆ Aut C102408+C10.154(S3xD4)480,596
C10.155(S3×D4) = C23.D5⋊S3φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.155(S3xD4)480,601
C10.156(S3×D4) = (C6×D5)⋊D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.156(S3xD4)480,625
C10.157(S3×D4) = Dic3×C5⋊D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.157(S3xD4)480,629
C10.158(S3×D4) = S3×C23.D5φ: S3×D4/C22×S3 → C2 ⊆ Aut C10120C10.158(S3xD4)480,630
C10.159(S3×D4) = (S3×C10).D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.159(S3xD4)480,631
C10.160(S3×D4) = C15⋊28(C4×D4)φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.160(S3xD4)480,632
C10.161(S3×D4) = Dic15⋊4D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.161(S3xD4)480,634
C10.162(S3×D4) = (S3×C10)⋊D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.162(S3xD4)480,641
C10.163(S3×D4) = C15⋊C22≀C2φ: S3×D4/C22×S3 → C2 ⊆ Aut C10120C10.163(S3xD4)480,644
C10.164(S3×D4) = (C2×C6)⋊D20φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.164(S3xD4)480,645
C10.165(S3×D4) = (C2×C10)⋊11D12φ: S3×D4/C22×S3 → C2 ⊆ Aut C10120C10.165(S3xD4)480,646
C10.166(S3×D4) = (C2×C10)⋊8Dic6φ: S3×D4/C22×S3 → C2 ⊆ Aut C10240C10.166(S3xD4)480,651
C10.167(S3×D4) = D30⋊8D4φ: S3×D4/C22×S3 → C2 ⊆ Aut C10120C10.167(S3xD4)480,653
C10.168(S3×D4) = C5×Dic3.D4central extension (φ=1)240C10.168(S3xD4)480,757
C10.169(S3×D4) = C5×S3×C22⋊C4central extension (φ=1)120C10.169(S3xD4)480,759
C10.170(S3×D4) = C5×Dic3⋊4D4central extension (φ=1)240C10.170(S3xD4)480,760
C10.171(S3×D4) = C5×D6⋊D4central extension (φ=1)120C10.171(S3xD4)480,761
C10.172(S3×D4) = C5×C23.9D6central extension (φ=1)240C10.172(S3xD4)480,762
C10.173(S3×D4) = C5×Dic3⋊D4central extension (φ=1)240C10.173(S3xD4)480,763
C10.174(S3×D4) = C5×C23.11D6central extension (φ=1)240C10.174(S3xD4)480,764
C10.175(S3×D4) = C5×C12⋊Q8central extension (φ=1)480C10.175(S3xD4)480,767
C10.176(S3×D4) = C5×S3×C4⋊C4central extension (φ=1)240C10.176(S3xD4)480,770
C10.177(S3×D4) = C5×Dic3⋊5D4central extension (φ=1)240C10.177(S3xD4)480,772
C10.178(S3×D4) = C5×D6.D4central extension (φ=1)240C10.178(S3xD4)480,773
C10.179(S3×D4) = C5×C12⋊D4central extension (φ=1)240C10.179(S3xD4)480,774
C10.180(S3×D4) = C5×D6⋊Q8central extension (φ=1)240C10.180(S3xD4)480,775
C10.181(S3×D4) = C5×S3×D8central extension (φ=1)1204C10.181(S3xD4)480,789
C10.182(S3×D4) = C5×D8⋊S3central extension (φ=1)1204C10.182(S3xD4)480,790
C10.183(S3×D4) = C5×D8⋊3S3central extension (φ=1)2404C10.183(S3xD4)480,791
C10.184(S3×D4) = C5×S3×SD16central extension (φ=1)1204C10.184(S3xD4)480,792
C10.185(S3×D4) = C5×Q8⋊3D6central extension (φ=1)1204C10.185(S3xD4)480,793
C10.186(S3×D4) = C5×D4.D6central extension (φ=1)2404C10.186(S3xD4)480,794
C10.187(S3×D4) = C5×Q8.7D6central extension (φ=1)2404C10.187(S3xD4)480,795
C10.188(S3×D4) = C5×S3×Q16central extension (φ=1)2404C10.188(S3xD4)480,796
C10.189(S3×D4) = C5×Q16⋊S3central extension (φ=1)2404C10.189(S3xD4)480,797
C10.190(S3×D4) = C5×D24⋊C2central extension (φ=1)2404C10.190(S3xD4)480,798
C10.191(S3×D4) = C5×D4×Dic3central extension (φ=1)240C10.191(S3xD4)480,813
C10.192(S3×D4) = C5×C23⋊2D6central extension (φ=1)120C10.192(S3xD4)480,816
C10.193(S3×D4) = C5×D6⋊3D4central extension (φ=1)240C10.193(S3xD4)480,817
C10.194(S3×D4) = C5×C23.14D6central extension (φ=1)240C10.194(S3xD4)480,818
C10.195(S3×D4) = C5×C12⋊3D4central extension (φ=1)240C10.195(S3xD4)480,819

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