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Extensions 1→N→G→Q→1 with N=C10 and Q=C8.C22

Direct product G=NxQ with N=C10 and Q=C8.C22
dρLabelID
C10xC8.C22160C10xC8.C2^2320,1576

Semidirect products G=N:Q with N=C10 and Q=C8.C22
extensionφ:Q→Aut NdρLabelID
C10:1(C8.C22) = C2xC8.D10φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10:1(C8.C2^2)320,1419
C10:2(C8.C22) = C2xSD16:D5φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10:2(C8.C2^2)320,1432
C10:3(C8.C22) = C2xQ16:D5φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10:3(C8.C2^2)320,1436
C10:4(C8.C22) = C2xC20.C23φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10:4(C8.C2^2)320,1480
C10:5(C8.C22) = C2xD4.9D10φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10:5(C8.C2^2)320,1495

Non-split extensions G=N.Q with N=C10 and Q=C8.C22
extensionφ:Q→Aut NdρLabelID
C10.1(C8.C22) = C8:Dic10φ: C8.C22/M4(2) → C2 ⊆ Aut C10320C10.1(C8.C2^2)320,329
C10.2(C8.C22) = C42.14D10φ: C8.C22/M4(2) → C2 ⊆ Aut C10320C10.2(C8.C2^2)320,330
C10.3(C8.C22) = C42.16D10φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.3(C8.C2^2)320,337
C10.4(C8.C22) = C42.20D10φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.4(C8.C2^2)320,341
C10.5(C8.C22) = C8.D20φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.5(C8.C2^2)320,342
C10.6(C8.C22) = Dic20:9C4φ: C8.C22/M4(2) → C2 ⊆ Aut C10320C10.6(C8.C2^2)320,343
C10.7(C8.C22) = C23.34D20φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.7(C8.C2^2)320,348
C10.8(C8.C22) = C23.10D20φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.8(C8.C2^2)320,350
C10.9(C8.C22) = D20.32D4φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.9(C8.C2^2)320,360
C10.10(C8.C22) = C22.D40φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.10(C8.C2^2)320,363
C10.11(C8.C22) = Dic10:14D4φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.11(C8.C2^2)320,365
C10.12(C8.C22) = C22:Dic20φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.12(C8.C2^2)320,366
C10.13(C8.C22) = Dic10.3Q8φ: C8.C22/M4(2) → C2 ⊆ Aut C10320C10.13(C8.C2^2)320,456
C10.14(C8.C22) = C20:SD16φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.14(C8.C2^2)320,468
C10.15(C8.C22) = C42.36D10φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.15(C8.C2^2)320,472
C10.16(C8.C22) = D20:4Q8φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.16(C8.C2^2)320,473
C10.17(C8.C22) = C4:Dic20φ: C8.C22/M4(2) → C2 ⊆ Aut C10320C10.17(C8.C2^2)320,476
C10.18(C8.C22) = Dic10:4Q8φ: C8.C22/M4(2) → C2 ⊆ Aut C10320C10.18(C8.C2^2)320,478
C10.19(C8.C22) = C23.46D20φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.19(C8.C2^2)320,747
C10.20(C8.C22) = C23.47D20φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.20(C8.C2^2)320,748
C10.21(C8.C22) = C23.49D20φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.21(C8.C2^2)320,760
C10.22(C8.C22) = C40:2D4φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.22(C8.C2^2)320,761
C10.23(C8.C22) = C40.4D4φ: C8.C22/M4(2) → C2 ⊆ Aut C10160C10.23(C8.C2^2)320,764
C10.24(C8.C22) = D4.D5:5C4φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.24(C8.C2^2)320,384
C10.25(C8.C22) = Dic5.14D8φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.25(C8.C2^2)320,386
C10.26(C8.C22) = C20:Q8:C2φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.26(C8.C2^2)320,392
C10.27(C8.C22) = Dic10.D4φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.27(C8.C2^2)320,394
C10.28(C8.C22) = D4:(C4xD5)φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.28(C8.C2^2)320,398
C10.29(C8.C22) = D10.12D8φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.29(C8.C2^2)320,401
C10.30(C8.C22) = C5:2C8:D4φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.30(C8.C2^2)320,407
C10.31(C8.C22) = D4.D20φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.31(C8.C2^2)320,410
C10.32(C8.C22) = Dic5:Q16φ: C8.C22/SD16 → C2 ⊆ Aut C10320C10.32(C8.C2^2)320,420
C10.33(C8.C22) = Q8.Dic10φ: C8.C22/SD16 → C2 ⊆ Aut C10320C10.33(C8.C2^2)320,423
C10.34(C8.C22) = (Q8xD5):C4φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.34(C8.C2^2)320,429
C10.35(C8.C22) = D10:4Q16φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.35(C8.C2^2)320,435
C10.36(C8.C22) = (C2xC8).D10φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.36(C8.C2^2)320,441
C10.37(C8.C22) = Dic20:15C4φ: C8.C22/SD16 → C2 ⊆ Aut C10320C10.37(C8.C2^2)320,480
C10.38(C8.C22) = Dic10:Q8φ: C8.C22/SD16 → C2 ⊆ Aut C10320C10.38(C8.C2^2)320,481
C10.39(C8.C22) = C40:3Q8φ: C8.C22/SD16 → C2 ⊆ Aut C10320C10.39(C8.C2^2)320,483
C10.40(C8.C22) = Dic10.Q8φ: C8.C22/SD16 → C2 ⊆ Aut C10320C10.40(C8.C2^2)320,484
C10.41(C8.C22) = C8:(C4xD5)φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.41(C8.C2^2)320,488
C10.42(C8.C22) = D10.12SD16φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.42(C8.C2^2)320,489
C10.43(C8.C22) = C20.(C4oD4)φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.43(C8.C2^2)320,494
C10.44(C8.C22) = C8.2D20φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.44(C8.C2^2)320,495
C10.45(C8.C22) = Dic5:3SD16φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.45(C8.C2^2)320,789
C10.46(C8.C22) = SD16:Dic5φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.46(C8.C2^2)320,791
C10.47(C8.C22) = (C5xQ8).D4φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.47(C8.C2^2)320,793
C10.48(C8.C22) = C40.31D4φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.48(C8.C2^2)320,794
C10.49(C8.C22) = D10:8SD16φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.49(C8.C2^2)320,797
C10.50(C8.C22) = Dic10.16D4φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.50(C8.C2^2)320,800
C10.51(C8.C22) = C40:8D4φ: C8.C22/SD16 → C2 ⊆ Aut C10160C10.51(C8.C2^2)320,801
C10.52(C8.C22) = C5:Q16:5C4φ: C8.C22/Q16 → C2 ⊆ Aut C10320C10.52(C8.C2^2)320,416
C10.53(C8.C22) = Q8:Dic10φ: C8.C22/Q16 → C2 ⊆ Aut C10320C10.53(C8.C2^2)320,418
C10.54(C8.C22) = Q8:C4:D5φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.54(C8.C2^2)320,422
C10.55(C8.C22) = C40:8C4.C2φ: C8.C22/Q16 → C2 ⊆ Aut C10320C10.55(C8.C2^2)320,424
C10.56(C8.C22) = Dic10.11D4φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.56(C8.C2^2)320,425
C10.57(C8.C22) = Q8.2Dic10φ: C8.C22/Q16 → C2 ⊆ Aut C10320C10.57(C8.C2^2)320,426
C10.58(C8.C22) = Q8:(C4xD5)φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.58(C8.C2^2)320,430
C10.59(C8.C22) = D10.11SD16φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.59(C8.C2^2)320,432
C10.60(C8.C22) = Q8:2D20φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.60(C8.C2^2)320,433
C10.61(C8.C22) = Q8.D20φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.61(C8.C2^2)320,437
C10.62(C8.C22) = C5:(C8:D4)φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.62(C8.C2^2)320,439
C10.63(C8.C22) = D10:1C8.C2φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.63(C8.C2^2)320,442
C10.64(C8.C22) = C5:2C8.D4φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.64(C8.C2^2)320,443
C10.65(C8.C22) = Q8:D5:6C4φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.65(C8.C2^2)320,444
C10.66(C8.C22) = Dic5:SD16φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.66(C8.C2^2)320,445
C10.67(C8.C22) = C40:4Q8φ: C8.C22/Q16 → C2 ⊆ Aut C10320C10.67(C8.C2^2)320,503
C10.68(C8.C22) = Dic10.2Q8φ: C8.C22/Q16 → C2 ⊆ Aut C10320C10.68(C8.C2^2)320,504
C10.69(C8.C22) = C40:20(C2xC4)φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.69(C8.C2^2)320,508
C10.70(C8.C22) = D10.13D8φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.70(C8.C2^2)320,509
C10.71(C8.C22) = C8:3D20φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.71(C8.C2^2)320,513
C10.72(C8.C22) = C2.D8:7D5φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.72(C8.C2^2)320,515
C10.73(C8.C22) = C40:21(C2xC4)φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.73(C8.C2^2)320,516
C10.74(C8.C22) = D20:2Q8φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.74(C8.C2^2)320,517
C10.75(C8.C22) = Dic5:3Q16φ: C8.C22/Q16 → C2 ⊆ Aut C10320C10.75(C8.C2^2)320,809
C10.76(C8.C22) = Q16:Dic5φ: C8.C22/Q16 → C2 ⊆ Aut C10320C10.76(C8.C2^2)320,811
C10.77(C8.C22) = (C2xQ16):D5φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.77(C8.C2^2)320,812
C10.78(C8.C22) = D10:5Q16φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.78(C8.C2^2)320,813
C10.79(C8.C22) = D20.17D4φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.79(C8.C2^2)320,814
C10.80(C8.C22) = C40.36D4φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.80(C8.C2^2)320,816
C10.81(C8.C22) = C40.37D4φ: C8.C22/Q16 → C2 ⊆ Aut C10160C10.81(C8.C2^2)320,817
C10.82(C8.C22) = C20.47(C4:C4)φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.82(C8.C2^2)320,591
C10.83(C8.C22) = C4oD20:9C4φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.83(C8.C2^2)320,593
C10.84(C8.C22) = (C2xC10).40D8φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.84(C8.C2^2)320,594
C10.85(C8.C22) = C4:C4.231D10φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.85(C8.C2^2)320,598
C10.86(C8.C22) = Q8.3Dic10φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10320C10.86(C8.C2^2)320,649
C10.87(C8.C22) = C42.56D10φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.87(C8.C2^2)320,653
C10.88(C8.C22) = Q8.1D20φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.88(C8.C2^2)320,655
C10.89(C8.C22) = C10.(C4oD8)φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.89(C8.C2^2)320,672
C10.90(C8.C22) = D20.37D4φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.90(C8.C2^2)320,674
C10.91(C8.C22) = C22:Q8:D5φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.91(C8.C2^2)320,676
C10.92(C8.C22) = C5:(C8.D4)φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.92(C8.C2^2)320,679
C10.93(C8.C22) = C42.76D10φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10320C10.93(C8.C2^2)320,707
C10.94(C8.C22) = C42.77D10φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10320C10.94(C8.C2^2)320,709
C10.95(C8.C22) = C20:5SD16φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.95(C8.C2^2)320,710
C10.96(C8.C22) = C42.80D10φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.96(C8.C2^2)320,713
C10.97(C8.C22) = D20:6Q8φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.97(C8.C2^2)320,714
C10.98(C8.C22) = C42.82D10φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.98(C8.C2^2)320,716
C10.99(C8.C22) = C20:Q16φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10320C10.99(C8.C2^2)320,717
C10.100(C8.C22) = Dic10:6Q8φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10320C10.100(C8.C2^2)320,721
C10.101(C8.C22) = (Q8xC10):16C4φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.101(C8.C2^2)320,852
C10.102(C8.C22) = (C5xQ8):13D4φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.102(C8.C2^2)320,854
C10.103(C8.C22) = (C2xC10):8Q16φ: C8.C22/C2xQ8 → C2 ⊆ Aut C10160C10.103(C8.C2^2)320,855
C10.104(C8.C22) = C20.64(C4:C4)φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.104(C8.C2^2)320,622
C10.105(C8.C22) = C4:C4.233D10φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.105(C8.C2^2)320,623
C10.106(C8.C22) = C4.(C2xD20)φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.106(C8.C2^2)320,631
C10.107(C8.C22) = C20.50D8φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.107(C8.C2^2)320,634
C10.108(C8.C22) = C42.51D10φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.108(C8.C2^2)320,645
C10.109(C8.C22) = D4.2D20φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.109(C8.C2^2)320,646
C10.110(C8.C22) = C20.48SD16φ: C8.C22/C4oD4 → C2 ⊆ Aut C10320C10.110(C8.C2^2)320,647
C10.111(C8.C22) = C42.59D10φ: C8.C22/C4oD4 → C2 ⊆ Aut C10320C10.111(C8.C2^2)320,657
C10.112(C8.C22) = C20:7Q16φ: C8.C22/C4oD4 → C2 ⊆ Aut C10320C10.112(C8.C2^2)320,658
C10.113(C8.C22) = (C2xC10).D8φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.113(C8.C2^2)320,660
C10.114(C8.C22) = Dic10:17D4φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.114(C8.C2^2)320,667
C10.115(C8.C22) = C4.(D4xD5)φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.115(C8.C2^2)320,669
C10.116(C8.C22) = C22:Q8.D5φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.116(C8.C2^2)320,670
C10.117(C8.C22) = Dic10.37D4φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.117(C8.C2^2)320,677
C10.118(C8.C22) = C42.61D10φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.118(C8.C2^2)320,681
C10.119(C8.C22) = C42.62D10φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.119(C8.C2^2)320,682
C10.120(C8.C22) = C42.65D10φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.120(C8.C2^2)320,687
C10.121(C8.C22) = Dic10.4Q8φ: C8.C22/C4oD4 → C2 ⊆ Aut C10320C10.121(C8.C2^2)320,690
C10.122(C8.C22) = C42.68D10φ: C8.C22/C4oD4 → C2 ⊆ Aut C10320C10.122(C8.C2^2)320,692
C10.123(C8.C22) = C42.71D10φ: C8.C22/C4oD4 → C2 ⊆ Aut C10320C10.123(C8.C2^2)320,696
C10.124(C8.C22) = C4oD4:Dic5φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.124(C8.C2^2)320,859
C10.125(C8.C22) = (C5xD4).32D4φ: C8.C22/C4oD4 → C2 ⊆ Aut C10160C10.125(C8.C2^2)320,866
C10.126(C8.C22) = C5xC23.36D4central extension (φ=1)160C10.126(C8.C2^2)320,918
C10.127(C8.C22) = C5xC23.38D4central extension (φ=1)160C10.127(C8.C2^2)320,920
C10.128(C8.C22) = C5xM4(2):C4central extension (φ=1)160C10.128(C8.C2^2)320,929
C10.129(C8.C22) = C5xSD16:C4central extension (φ=1)160C10.129(C8.C2^2)320,941
C10.130(C8.C22) = C5xQ16:C4central extension (φ=1)320C10.130(C8.C2^2)320,942
C10.131(C8.C22) = C5xQ8:D4central extension (φ=1)160C10.131(C8.C2^2)320,949
C10.132(C8.C22) = C5xC22:Q16central extension (φ=1)160C10.132(C8.C2^2)320,952
C10.133(C8.C22) = C5xD4.7D4central extension (φ=1)160C10.133(C8.C2^2)320,953
C10.134(C8.C22) = C5xD4.D4central extension (φ=1)160C10.134(C8.C2^2)320,962
C10.135(C8.C22) = C5xC4:2Q16central extension (φ=1)320C10.135(C8.C2^2)320,963
C10.136(C8.C22) = C5xQ8.D4central extension (φ=1)160C10.136(C8.C2^2)320,965
C10.137(C8.C22) = C5xC8:D4central extension (φ=1)160C10.137(C8.C2^2)320,969
C10.138(C8.C22) = C5xC8.D4central extension (φ=1)160C10.138(C8.C2^2)320,971
C10.139(C8.C22) = C5xD4:Q8central extension (φ=1)160C10.139(C8.C2^2)320,975
C10.140(C8.C22) = C5xQ8:Q8central extension (φ=1)320C10.140(C8.C2^2)320,976
C10.141(C8.C22) = C5xQ8.Q8central extension (φ=1)320C10.141(C8.C2^2)320,980
C10.142(C8.C22) = C5xC22.D8central extension (φ=1)160C10.142(C8.C2^2)320,981
C10.143(C8.C22) = C5xC23.47D4central extension (φ=1)160C10.143(C8.C2^2)320,984
C10.144(C8.C22) = C5xC23.20D4central extension (φ=1)160C10.144(C8.C2^2)320,986
C10.145(C8.C22) = C5xC42.28C22central extension (φ=1)160C10.145(C8.C2^2)320,990
C10.146(C8.C22) = C5xC42.30C22central extension (φ=1)320C10.146(C8.C2^2)320,992
C10.147(C8.C22) = C5xC8.2D4central extension (φ=1)160C10.147(C8.C2^2)320,998
C10.148(C8.C22) = C5xC8:Q8central extension (φ=1)320C10.148(C8.C2^2)320,1002

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