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

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

Semidirect products G=N:Q with N=C10 and Q=C8.C22
extensionφ:Q→Aut NdρLabelID
C101(C8.C22) = C2×C8.D10φ: C8.C22/M4(2)C2 ⊆ Aut C10160C10:1(C8.C2^2)320,1419
C102(C8.C22) = C2×SD16⋊D5φ: C8.C22/SD16C2 ⊆ Aut C10160C10:2(C8.C2^2)320,1432
C103(C8.C22) = C2×Q16⋊D5φ: C8.C22/Q16C2 ⊆ Aut C10160C10:3(C8.C2^2)320,1436
C104(C8.C22) = C2×C20.C23φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10:4(C8.C2^2)320,1480
C105(C8.C22) = C2×D4.9D10φ: C8.C22/C4○D4C2 ⊆ 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) = Dic209C4φ: 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) = Dic1014D4φ: 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) = D204Q8φ: 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) = Dic104Q8φ: 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) = C402D4φ: 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.D55C4φ: C8.C22/SD16C2 ⊆ Aut C10160C10.24(C8.C2^2)320,384
C10.25(C8.C22) = Dic5.14D8φ: C8.C22/SD16C2 ⊆ Aut C10160C10.25(C8.C2^2)320,386
C10.26(C8.C22) = C20⋊Q8⋊C2φ: C8.C22/SD16C2 ⊆ Aut C10160C10.26(C8.C2^2)320,392
C10.27(C8.C22) = Dic10.D4φ: C8.C22/SD16C2 ⊆ Aut C10160C10.27(C8.C2^2)320,394
C10.28(C8.C22) = D4⋊(C4×D5)φ: C8.C22/SD16C2 ⊆ Aut C10160C10.28(C8.C2^2)320,398
C10.29(C8.C22) = D10.12D8φ: C8.C22/SD16C2 ⊆ Aut C10160C10.29(C8.C2^2)320,401
C10.30(C8.C22) = C52C8⋊D4φ: C8.C22/SD16C2 ⊆ Aut C10160C10.30(C8.C2^2)320,407
C10.31(C8.C22) = D4.D20φ: C8.C22/SD16C2 ⊆ Aut C10160C10.31(C8.C2^2)320,410
C10.32(C8.C22) = Dic5⋊Q16φ: C8.C22/SD16C2 ⊆ Aut C10320C10.32(C8.C2^2)320,420
C10.33(C8.C22) = Q8.Dic10φ: C8.C22/SD16C2 ⊆ Aut C10320C10.33(C8.C2^2)320,423
C10.34(C8.C22) = (Q8×D5)⋊C4φ: C8.C22/SD16C2 ⊆ Aut C10160C10.34(C8.C2^2)320,429
C10.35(C8.C22) = D104Q16φ: C8.C22/SD16C2 ⊆ Aut C10160C10.35(C8.C2^2)320,435
C10.36(C8.C22) = (C2×C8).D10φ: C8.C22/SD16C2 ⊆ Aut C10160C10.36(C8.C2^2)320,441
C10.37(C8.C22) = Dic2015C4φ: C8.C22/SD16C2 ⊆ Aut C10320C10.37(C8.C2^2)320,480
C10.38(C8.C22) = Dic10⋊Q8φ: C8.C22/SD16C2 ⊆ Aut C10320C10.38(C8.C2^2)320,481
C10.39(C8.C22) = C403Q8φ: C8.C22/SD16C2 ⊆ Aut C10320C10.39(C8.C2^2)320,483
C10.40(C8.C22) = Dic10.Q8φ: C8.C22/SD16C2 ⊆ Aut C10320C10.40(C8.C2^2)320,484
C10.41(C8.C22) = C8⋊(C4×D5)φ: C8.C22/SD16C2 ⊆ Aut C10160C10.41(C8.C2^2)320,488
C10.42(C8.C22) = D10.12SD16φ: C8.C22/SD16C2 ⊆ Aut C10160C10.42(C8.C2^2)320,489
C10.43(C8.C22) = C20.(C4○D4)φ: C8.C22/SD16C2 ⊆ Aut C10160C10.43(C8.C2^2)320,494
C10.44(C8.C22) = C8.2D20φ: C8.C22/SD16C2 ⊆ Aut C10160C10.44(C8.C2^2)320,495
C10.45(C8.C22) = Dic53SD16φ: C8.C22/SD16C2 ⊆ Aut C10160C10.45(C8.C2^2)320,789
C10.46(C8.C22) = SD16⋊Dic5φ: C8.C22/SD16C2 ⊆ Aut C10160C10.46(C8.C2^2)320,791
C10.47(C8.C22) = (C5×Q8).D4φ: C8.C22/SD16C2 ⊆ Aut C10160C10.47(C8.C2^2)320,793
C10.48(C8.C22) = C40.31D4φ: C8.C22/SD16C2 ⊆ Aut C10160C10.48(C8.C2^2)320,794
C10.49(C8.C22) = D108SD16φ: C8.C22/SD16C2 ⊆ Aut C10160C10.49(C8.C2^2)320,797
C10.50(C8.C22) = Dic10.16D4φ: C8.C22/SD16C2 ⊆ Aut C10160C10.50(C8.C2^2)320,800
C10.51(C8.C22) = C408D4φ: C8.C22/SD16C2 ⊆ Aut C10160C10.51(C8.C2^2)320,801
C10.52(C8.C22) = C5⋊Q165C4φ: C8.C22/Q16C2 ⊆ Aut C10320C10.52(C8.C2^2)320,416
C10.53(C8.C22) = Q8⋊Dic10φ: C8.C22/Q16C2 ⊆ Aut C10320C10.53(C8.C2^2)320,418
C10.54(C8.C22) = Q8⋊C4⋊D5φ: C8.C22/Q16C2 ⊆ Aut C10160C10.54(C8.C2^2)320,422
C10.55(C8.C22) = C408C4.C2φ: C8.C22/Q16C2 ⊆ Aut C10320C10.55(C8.C2^2)320,424
C10.56(C8.C22) = Dic10.11D4φ: C8.C22/Q16C2 ⊆ Aut C10160C10.56(C8.C2^2)320,425
C10.57(C8.C22) = Q8.2Dic10φ: C8.C22/Q16C2 ⊆ Aut C10320C10.57(C8.C2^2)320,426
C10.58(C8.C22) = Q8⋊(C4×D5)φ: C8.C22/Q16C2 ⊆ Aut C10160C10.58(C8.C2^2)320,430
C10.59(C8.C22) = D10.11SD16φ: C8.C22/Q16C2 ⊆ Aut C10160C10.59(C8.C2^2)320,432
C10.60(C8.C22) = Q82D20φ: C8.C22/Q16C2 ⊆ Aut C10160C10.60(C8.C2^2)320,433
C10.61(C8.C22) = Q8.D20φ: C8.C22/Q16C2 ⊆ Aut C10160C10.61(C8.C2^2)320,437
C10.62(C8.C22) = C5⋊(C8⋊D4)φ: C8.C22/Q16C2 ⊆ Aut C10160C10.62(C8.C2^2)320,439
C10.63(C8.C22) = D101C8.C2φ: C8.C22/Q16C2 ⊆ Aut C10160C10.63(C8.C2^2)320,442
C10.64(C8.C22) = C52C8.D4φ: C8.C22/Q16C2 ⊆ Aut C10160C10.64(C8.C2^2)320,443
C10.65(C8.C22) = Q8⋊D56C4φ: C8.C22/Q16C2 ⊆ Aut C10160C10.65(C8.C2^2)320,444
C10.66(C8.C22) = Dic5⋊SD16φ: C8.C22/Q16C2 ⊆ Aut C10160C10.66(C8.C2^2)320,445
C10.67(C8.C22) = C404Q8φ: C8.C22/Q16C2 ⊆ Aut C10320C10.67(C8.C2^2)320,503
C10.68(C8.C22) = Dic10.2Q8φ: C8.C22/Q16C2 ⊆ Aut C10320C10.68(C8.C2^2)320,504
C10.69(C8.C22) = C4020(C2×C4)φ: C8.C22/Q16C2 ⊆ Aut C10160C10.69(C8.C2^2)320,508
C10.70(C8.C22) = D10.13D8φ: C8.C22/Q16C2 ⊆ Aut C10160C10.70(C8.C2^2)320,509
C10.71(C8.C22) = C83D20φ: C8.C22/Q16C2 ⊆ Aut C10160C10.71(C8.C2^2)320,513
C10.72(C8.C22) = C2.D87D5φ: C8.C22/Q16C2 ⊆ Aut C10160C10.72(C8.C2^2)320,515
C10.73(C8.C22) = C4021(C2×C4)φ: C8.C22/Q16C2 ⊆ Aut C10160C10.73(C8.C2^2)320,516
C10.74(C8.C22) = D202Q8φ: C8.C22/Q16C2 ⊆ Aut C10160C10.74(C8.C2^2)320,517
C10.75(C8.C22) = Dic53Q16φ: C8.C22/Q16C2 ⊆ Aut C10320C10.75(C8.C2^2)320,809
C10.76(C8.C22) = Q16⋊Dic5φ: C8.C22/Q16C2 ⊆ Aut C10320C10.76(C8.C2^2)320,811
C10.77(C8.C22) = (C2×Q16)⋊D5φ: C8.C22/Q16C2 ⊆ Aut C10160C10.77(C8.C2^2)320,812
C10.78(C8.C22) = D105Q16φ: C8.C22/Q16C2 ⊆ Aut C10160C10.78(C8.C2^2)320,813
C10.79(C8.C22) = D20.17D4φ: C8.C22/Q16C2 ⊆ Aut C10160C10.79(C8.C2^2)320,814
C10.80(C8.C22) = C40.36D4φ: C8.C22/Q16C2 ⊆ Aut C10160C10.80(C8.C2^2)320,816
C10.81(C8.C22) = C40.37D4φ: C8.C22/Q16C2 ⊆ Aut C10160C10.81(C8.C2^2)320,817
C10.82(C8.C22) = C20.47(C4⋊C4)φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.82(C8.C2^2)320,591
C10.83(C8.C22) = C4○D209C4φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.83(C8.C2^2)320,593
C10.84(C8.C22) = (C2×C10).40D8φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.84(C8.C2^2)320,594
C10.85(C8.C22) = C4⋊C4.231D10φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.85(C8.C2^2)320,598
C10.86(C8.C22) = Q8.3Dic10φ: C8.C22/C2×Q8C2 ⊆ Aut C10320C10.86(C8.C2^2)320,649
C10.87(C8.C22) = C42.56D10φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.87(C8.C2^2)320,653
C10.88(C8.C22) = Q8.1D20φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.88(C8.C2^2)320,655
C10.89(C8.C22) = C10.(C4○D8)φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.89(C8.C2^2)320,672
C10.90(C8.C22) = D20.37D4φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.90(C8.C2^2)320,674
C10.91(C8.C22) = C22⋊Q8⋊D5φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.91(C8.C2^2)320,676
C10.92(C8.C22) = C5⋊(C8.D4)φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.92(C8.C2^2)320,679
C10.93(C8.C22) = C42.76D10φ: C8.C22/C2×Q8C2 ⊆ Aut C10320C10.93(C8.C2^2)320,707
C10.94(C8.C22) = C42.77D10φ: C8.C22/C2×Q8C2 ⊆ Aut C10320C10.94(C8.C2^2)320,709
C10.95(C8.C22) = C205SD16φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.95(C8.C2^2)320,710
C10.96(C8.C22) = C42.80D10φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.96(C8.C2^2)320,713
C10.97(C8.C22) = D206Q8φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.97(C8.C2^2)320,714
C10.98(C8.C22) = C42.82D10φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.98(C8.C2^2)320,716
C10.99(C8.C22) = C20⋊Q16φ: C8.C22/C2×Q8C2 ⊆ Aut C10320C10.99(C8.C2^2)320,717
C10.100(C8.C22) = Dic106Q8φ: C8.C22/C2×Q8C2 ⊆ Aut C10320C10.100(C8.C2^2)320,721
C10.101(C8.C22) = (Q8×C10)⋊16C4φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.101(C8.C2^2)320,852
C10.102(C8.C22) = (C5×Q8)⋊13D4φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.102(C8.C2^2)320,854
C10.103(C8.C22) = (C2×C10)⋊8Q16φ: C8.C22/C2×Q8C2 ⊆ Aut C10160C10.103(C8.C2^2)320,855
C10.104(C8.C22) = C20.64(C4⋊C4)φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.104(C8.C2^2)320,622
C10.105(C8.C22) = C4⋊C4.233D10φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.105(C8.C2^2)320,623
C10.106(C8.C22) = C4.(C2×D20)φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.106(C8.C2^2)320,631
C10.107(C8.C22) = C20.50D8φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.107(C8.C2^2)320,634
C10.108(C8.C22) = C42.51D10φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.108(C8.C2^2)320,645
C10.109(C8.C22) = D4.2D20φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.109(C8.C2^2)320,646
C10.110(C8.C22) = C20.48SD16φ: C8.C22/C4○D4C2 ⊆ Aut C10320C10.110(C8.C2^2)320,647
C10.111(C8.C22) = C42.59D10φ: C8.C22/C4○D4C2 ⊆ Aut C10320C10.111(C8.C2^2)320,657
C10.112(C8.C22) = C207Q16φ: C8.C22/C4○D4C2 ⊆ Aut C10320C10.112(C8.C2^2)320,658
C10.113(C8.C22) = (C2×C10).D8φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.113(C8.C2^2)320,660
C10.114(C8.C22) = Dic1017D4φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.114(C8.C2^2)320,667
C10.115(C8.C22) = C4.(D4×D5)φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.115(C8.C2^2)320,669
C10.116(C8.C22) = C22⋊Q8.D5φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.116(C8.C2^2)320,670
C10.117(C8.C22) = Dic10.37D4φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.117(C8.C2^2)320,677
C10.118(C8.C22) = C42.61D10φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.118(C8.C2^2)320,681
C10.119(C8.C22) = C42.62D10φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.119(C8.C2^2)320,682
C10.120(C8.C22) = C42.65D10φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.120(C8.C2^2)320,687
C10.121(C8.C22) = Dic10.4Q8φ: C8.C22/C4○D4C2 ⊆ Aut C10320C10.121(C8.C2^2)320,690
C10.122(C8.C22) = C42.68D10φ: C8.C22/C4○D4C2 ⊆ Aut C10320C10.122(C8.C2^2)320,692
C10.123(C8.C22) = C42.71D10φ: C8.C22/C4○D4C2 ⊆ Aut C10320C10.123(C8.C2^2)320,696
C10.124(C8.C22) = C4○D4⋊Dic5φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.124(C8.C2^2)320,859
C10.125(C8.C22) = (C5×D4).32D4φ: C8.C22/C4○D4C2 ⊆ Aut C10160C10.125(C8.C2^2)320,866
C10.126(C8.C22) = C5×C23.36D4central extension (φ=1)160C10.126(C8.C2^2)320,918
C10.127(C8.C22) = C5×C23.38D4central extension (φ=1)160C10.127(C8.C2^2)320,920
C10.128(C8.C22) = C5×M4(2)⋊C4central extension (φ=1)160C10.128(C8.C2^2)320,929
C10.129(C8.C22) = C5×SD16⋊C4central extension (φ=1)160C10.129(C8.C2^2)320,941
C10.130(C8.C22) = C5×Q16⋊C4central extension (φ=1)320C10.130(C8.C2^2)320,942
C10.131(C8.C22) = C5×Q8⋊D4central extension (φ=1)160C10.131(C8.C2^2)320,949
C10.132(C8.C22) = C5×C22⋊Q16central extension (φ=1)160C10.132(C8.C2^2)320,952
C10.133(C8.C22) = C5×D4.7D4central extension (φ=1)160C10.133(C8.C2^2)320,953
C10.134(C8.C22) = C5×D4.D4central extension (φ=1)160C10.134(C8.C2^2)320,962
C10.135(C8.C22) = C5×C42Q16central extension (φ=1)320C10.135(C8.C2^2)320,963
C10.136(C8.C22) = C5×Q8.D4central extension (φ=1)160C10.136(C8.C2^2)320,965
C10.137(C8.C22) = C5×C8⋊D4central extension (φ=1)160C10.137(C8.C2^2)320,969
C10.138(C8.C22) = C5×C8.D4central extension (φ=1)160C10.138(C8.C2^2)320,971
C10.139(C8.C22) = C5×D4⋊Q8central extension (φ=1)160C10.139(C8.C2^2)320,975
C10.140(C8.C22) = C5×Q8⋊Q8central extension (φ=1)320C10.140(C8.C2^2)320,976
C10.141(C8.C22) = C5×Q8.Q8central extension (φ=1)320C10.141(C8.C2^2)320,980
C10.142(C8.C22) = C5×C22.D8central extension (φ=1)160C10.142(C8.C2^2)320,981
C10.143(C8.C22) = C5×C23.47D4central extension (φ=1)160C10.143(C8.C2^2)320,984
C10.144(C8.C22) = C5×C23.20D4central extension (φ=1)160C10.144(C8.C2^2)320,986
C10.145(C8.C22) = C5×C42.28C22central extension (φ=1)160C10.145(C8.C2^2)320,990
C10.146(C8.C22) = C5×C42.30C22central extension (φ=1)320C10.146(C8.C2^2)320,992
C10.147(C8.C22) = C5×C8.2D4central extension (φ=1)160C10.147(C8.C2^2)320,998
C10.148(C8.C22) = C5×C8⋊Q8central extension (φ=1)320C10.148(C8.C2^2)320,1002

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