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⋊C2280C10xC8:C2^2320,1575

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 C1080C10:1(C8:C2^2)320,1418
C102(C8⋊C22) = C2×D8⋊D5φ: C8⋊C22/D8C2 ⊆ Aut C1080C10:2(C8:C2^2)320,1427
C103(C8⋊C22) = C2×D40⋊C2φ: C8⋊C22/SD16C2 ⊆ Aut C1080C10:3(C8:C2^2)320,1431
C104(C8⋊C22) = C2×D4.D10φ: C8⋊C22/C2×D4C2 ⊆ Aut C1080C10:4(C8:C2^2)320,1465
C105(C8⋊C22) = C2×D4⋊D10φ: C8⋊C22/C4○D4C2 ⊆ Aut C1080C10:5(C8:C2^2)320,1492

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) = C42.16D10φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.2(C8:C2^2)320,337
C10.3(C8⋊C22) = D409C4φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.3(C8:C2^2)320,338
C10.4(C8⋊C22) = C8⋊D20φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.4(C8:C2^2)320,339
C10.5(C8⋊C22) = C42.19D10φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.5(C8:C2^2)320,340
C10.6(C8⋊C22) = C42.20D10φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.6(C8:C2^2)320,341
C10.7(C8⋊C22) = C23.35D20φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.7(C8:C2^2)320,349
C10.8(C8⋊C22) = D20.31D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C1080C10.8(C8:C2^2)320,358
C10.9(C8⋊C22) = D2013D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C1080C10.9(C8:C2^2)320,359
C10.10(C8⋊C22) = D2014D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.10(C8:C2^2)320,361
C10.11(C8⋊C22) = C23.38D20φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.11(C8:C2^2)320,362
C10.12(C8⋊C22) = C23.13D20φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.12(C8:C2^2)320,364
C10.13(C8⋊C22) = D203Q8φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.13(C8:C2^2)320,469
C10.14(C8⋊C22) = C4⋊D40φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.14(C8:C2^2)320,470
C10.15(C8⋊C22) = D20.19D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.15(C8:C2^2)320,471
C10.16(C8⋊C22) = D20.3Q8φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.16(C8:C2^2)320,474
C10.17(C8⋊C22) = Dic108D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.17(C8:C2^2)320,475
C10.18(C8⋊C22) = C20.7Q16φ: C8⋊C22/M4(2)C2 ⊆ Aut C10320C10.18(C8:C2^2)320,477
C10.19(C8⋊C22) = C23.47D20φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.19(C8:C2^2)320,748
C10.20(C8⋊C22) = C23.48D20φ: C8⋊C22/M4(2)C2 ⊆ Aut C1080C10.20(C8:C2^2)320,758
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) = C403D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C10160C10.23(C8:C2^2)320,762
C10.24(C8⋊C22) = D4.D55C4φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.24(C8:C2^2)320,384
C10.25(C8⋊C22) = D4⋊Dic10φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.25(C8:C2^2)320,388
C10.26(C8⋊C22) = Dic102D4φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.26(C8:C2^2)320,389
C10.27(C8⋊C22) = D4.Dic10φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.27(C8:C2^2)320,390
C10.28(C8⋊C22) = C20⋊Q8⋊C2φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.28(C8:C2^2)320,392
C10.29(C8⋊C22) = (D4×D5)⋊C4φ: C8⋊C22/D8C2 ⊆ Aut C1080C10.29(C8:C2^2)320,397
C10.30(C8⋊C22) = D4⋊(C4×D5)φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.30(C8:C2^2)320,398
C10.31(C8⋊C22) = D20.8D4φ: C8⋊C22/D8C2 ⊆ Aut C1080C10.31(C8:C2^2)320,403
C10.32(C8⋊C22) = D10.16SD16φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.32(C8:C2^2)320,404
C10.33(C8⋊C22) = C406C4⋊C2φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.33(C8:C2^2)320,406
C10.34(C8⋊C22) = C52C8⋊D4φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.34(C8:C2^2)320,407
C10.35(C8⋊C22) = D43D20φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.35(C8:C2^2)320,408
C10.36(C8⋊C22) = C5⋊(C82D4)φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.36(C8:C2^2)320,409
C10.37(C8⋊C22) = D20.D4φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.37(C8:C2^2)320,414
C10.38(C8⋊C22) = Dic102Q8φ: C8⋊C22/D8C2 ⊆ Aut C10320C10.38(C8:C2^2)320,502
C10.39(C8⋊C22) = C404Q8φ: C8⋊C22/D8C2 ⊆ Aut C10320C10.39(C8:C2^2)320,503
C10.40(C8⋊C22) = C4020(C2×C4)φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.40(C8:C2^2)320,508
C10.41(C8⋊C22) = D10.8Q16φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.41(C8:C2^2)320,511
C10.42(C8⋊C22) = C2.D8⋊D5φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.42(C8:C2^2)320,512
C10.43(C8⋊C22) = C83D20φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.43(C8:C2^2)320,513
C10.44(C8⋊C22) = C4021(C2×C4)φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.44(C8:C2^2)320,516
C10.45(C8⋊C22) = D20.2Q8φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.45(C8:C2^2)320,518
C10.46(C8⋊C22) = Dic5⋊D8φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.46(C8:C2^2)320,777
C10.47(C8⋊C22) = D8⋊Dic5φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.47(C8:C2^2)320,779
C10.48(C8⋊C22) = (C2×D8).D5φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.48(C8:C2^2)320,780
C10.49(C8⋊C22) = C4011D4φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.49(C8:C2^2)320,781
C10.50(C8⋊C22) = D20⋊D4φ: C8⋊C22/D8C2 ⊆ Aut C1080C10.50(C8:C2^2)320,783
C10.51(C8⋊C22) = Dic10⋊D4φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.51(C8:C2^2)320,785
C10.52(C8⋊C22) = C4012D4φ: C8⋊C22/D8C2 ⊆ Aut C10160C10.52(C8:C2^2)320,786
C10.53(C8⋊C22) = C4⋊C4.D10φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.53(C8:C2^2)320,391
C10.54(C8⋊C22) = D4.2Dic10φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.54(C8:C2^2)320,393
C10.55(C8⋊C22) = D4⋊D20φ: C8⋊C22/SD16C2 ⊆ Aut C1080C10.55(C8:C2^2)320,400
C10.56(C8⋊C22) = C405C4⋊C2φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.56(C8:C2^2)320,411
C10.57(C8⋊C22) = D4⋊D56C4φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.57(C8:C2^2)320,412
C10.58(C8⋊C22) = D203D4φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.58(C8:C2^2)320,413
C10.59(C8⋊C22) = Dic5.9Q16φ: C8⋊C22/SD16C2 ⊆ Aut C10320C10.59(C8:C2^2)320,421
C10.60(C8⋊C22) = Q8⋊C4⋊D5φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.60(C8:C2^2)320,422
C10.61(C8⋊C22) = Q8⋊(C4×D5)φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.61(C8:C2^2)320,430
C10.62(C8⋊C22) = D10.7Q16φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.62(C8:C2^2)320,436
C10.63(C8⋊C22) = D204D4φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.63(C8:C2^2)320,438
C10.64(C8⋊C22) = C5⋊(C8⋊D4)φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.64(C8:C2^2)320,439
C10.65(C8⋊C22) = Q8⋊D56C4φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.65(C8:C2^2)320,444
C10.66(C8⋊C22) = D20.12D4φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.66(C8:C2^2)320,446
C10.67(C8⋊C22) = C403Q8φ: C8⋊C22/SD16C2 ⊆ Aut C10320C10.67(C8:C2^2)320,483
C10.68(C8⋊C22) = C8⋊(C4×D5)φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.68(C8:C2^2)320,488
C10.69(C8⋊C22) = D10.17SD16φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.69(C8:C2^2)320,490
C10.70(C8⋊C22) = C82D20φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.70(C8:C2^2)320,492
C10.71(C8⋊C22) = C4.Q8⋊D5φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.71(C8:C2^2)320,493
C10.72(C8⋊C22) = D4015C4φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.72(C8:C2^2)320,496
C10.73(C8⋊C22) = D20⋊Q8φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.73(C8:C2^2)320,497
C10.74(C8⋊C22) = D20.Q8φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.74(C8:C2^2)320,498
C10.75(C8⋊C22) = Dic55SD16φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.75(C8:C2^2)320,790
C10.76(C8⋊C22) = SD16⋊Dic5φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.76(C8:C2^2)320,791
C10.77(C8⋊C22) = (C5×D4).D4φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.77(C8:C2^2)320,792
C10.78(C8⋊C22) = D106SD16φ: C8⋊C22/SD16C2 ⊆ Aut C1080C10.78(C8:C2^2)320,796
C10.79(C8⋊C22) = D207D4φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.79(C8:C2^2)320,799
C10.80(C8⋊C22) = C408D4φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.80(C8:C2^2)320,801
C10.81(C8⋊C22) = C409D4φ: C8⋊C22/SD16C2 ⊆ Aut C10160C10.81(C8:C2^2)320,803
C10.82(C8⋊C22) = C20.47(C4⋊C4)φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.82(C8:C2^2)320,591
C10.83(C8⋊C22) = C4○D209C4φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.83(C8:C2^2)320,593
C10.84(C8⋊C22) = C4⋊C4.228D10φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.84(C8:C2^2)320,595
C10.85(C8⋊C22) = C4⋊C4.230D10φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.85(C8:C2^2)320,597
C10.86(C8⋊C22) = D4.3Dic10φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.86(C8:C2^2)320,636
C10.87(C8⋊C22) = D4.1D20φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.87(C8:C2^2)320,643
C10.88(C8⋊C22) = C42.51D10φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.88(C8:C2^2)320,645
C10.89(C8⋊C22) = (C2×D4).D10φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.89(C8:C2^2)320,662
C10.90(C8⋊C22) = D2017D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.90(C8:C2^2)320,664
C10.91(C8⋊C22) = C4⋊D4⋊D5φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.91(C8:C2^2)320,666
C10.92(C8⋊C22) = C4.(D4×D5)φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.92(C8:C2^2)320,669
C10.93(C8⋊C22) = C42.72D10φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.93(C8:C2^2)320,698
C10.94(C8⋊C22) = C202D8φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.94(C8:C2^2)320,699
C10.95(C8⋊C22) = C42.74D10φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.95(C8:C2^2)320,701
C10.96(C8⋊C22) = Dic109D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.96(C8:C2^2)320,702
C10.97(C8⋊C22) = C42.76D10φ: C8⋊C22/C2×D4C2 ⊆ Aut C10320C10.97(C8:C2^2)320,707
C10.98(C8⋊C22) = D205Q8φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.98(C8:C2^2)320,711
C10.99(C8⋊C22) = C42.82D10φ: C8⋊C22/C2×D4C2 ⊆ Aut C10160C10.99(C8:C2^2)320,716
C10.100(C8⋊C22) = Dic105Q8φ: C8⋊C22/C2×D4C2 ⊆ Aut C10320C10.100(C8:C2^2)320,718
C10.101(C8⋊C22) = (D4×C10)⋊18C4φ: C8⋊C22/C2×D4C2 ⊆ Aut C1080C10.101(C8:C2^2)320,842
C10.102(C8⋊C22) = (C2×C10)⋊8D8φ: C8⋊C22/C2×D4C2 ⊆ Aut C1080C10.102(C8:C2^2)320,844
C10.103(C8⋊C22) = (C5×D4).31D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C1080C10.103(C8:C2^2)320,845
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⋊C436D10φ: C8⋊C22/C4○D4C2 ⊆ Aut C1080C10.105(C8:C2^2)320,628
C10.106(C8⋊C22) = C4⋊C4.236D10φ: C8⋊C22/C4○D4C2 ⊆ Aut C10160C10.106(C8:C2^2)320,630
C10.107(C8⋊C22) = C20.38SD16φ: C8⋊C22/C4○D4C2 ⊆ Aut C10160C10.107(C8:C2^2)320,635
C10.108(C8⋊C22) = C42.48D10φ: C8⋊C22/C4○D4C2 ⊆ Aut C10160C10.108(C8:C2^2)320,641
C10.109(C8⋊C22) = C207D8φ: C8⋊C22/C4○D4C2 ⊆ Aut C10160C10.109(C8:C2^2)320,642
C10.110(C8⋊C22) = C20.23Q16φ: C8⋊C22/C4○D4C2 ⊆ Aut C10320C10.110(C8:C2^2)320,648
C10.111(C8⋊C22) = C42.56D10φ: C8⋊C22/C4○D4C2 ⊆ Aut C10160C10.111(C8:C2^2)320,653
C10.112(C8⋊C22) = Q8⋊D20φ: C8⋊C22/C4○D4C2 ⊆ Aut C10160C10.112(C8:C2^2)320,654
C10.113(C8⋊C22) = C4⋊D4.D5φ: C8⋊C22/C4○D4C2 ⊆ Aut C10160C10.113(C8:C2^2)320,661
C10.114(C8⋊C22) = D2016D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C1080C10.114(C8:C2^2)320,663
C10.115(C8⋊C22) = (C2×C10).Q16φ: C8⋊C22/C4○D4C2 ⊆ Aut C10160C10.115(C8:C2^2)320,671
C10.116(C8⋊C22) = D20.36D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C1080C10.116(C8:C2^2)320,673
C10.117(C8⋊C22) = C22⋊Q8⋊D5φ: C8⋊C22/C4○D4C2 ⊆ Aut C10160C10.117(C8:C2^2)320,676
C10.118(C8⋊C22) = C42.62D10φ: C8⋊C22/C4○D4C2 ⊆ Aut C10160C10.118(C8:C2^2)320,682
C10.119(C8⋊C22) = D20.23D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C10160C10.119(C8:C2^2)320,684
C10.120(C8⋊C22) = C42.64D10φ: C8⋊C22/C4○D4C2 ⊆ Aut C10160C10.120(C8:C2^2)320,685
C10.121(C8⋊C22) = C42.68D10φ: C8⋊C22/C4○D4C2 ⊆ Aut C10320C10.121(C8:C2^2)320,692
C10.122(C8⋊C22) = D20.4Q8φ: C8⋊C22/C4○D4C2 ⊆ Aut C10160C10.122(C8:C2^2)320,693
C10.123(C8⋊C22) = C42.70D10φ: C8⋊C22/C4○D4C2 ⊆ Aut C10160C10.123(C8:C2^2)320,694
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)⋊14D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C10160C10.125(C8:C2^2)320,865
C10.126(C8⋊C22) = C5×C23.36D4central extension (φ=1)160C10.126(C8:C2^2)320,918
C10.127(C8⋊C22) = C5×C23.37D4central extension (φ=1)80C10.127(C8:C2^2)320,919
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×D8⋊C4central extension (φ=1)160C10.130(C8:C2^2)320,943
C10.131(C8⋊C22) = C5×C22⋊D8central extension (φ=1)80C10.131(C8:C2^2)320,948
C10.132(C8⋊C22) = C5×D4⋊D4central extension (φ=1)160C10.132(C8:C2^2)320,950
C10.133(C8⋊C22) = C5×C22⋊SD16central extension (φ=1)80C10.133(C8:C2^2)320,951
C10.134(C8⋊C22) = C5×C4⋊D8central extension (φ=1)160C10.134(C8:C2^2)320,960
C10.135(C8⋊C22) = C5×C4⋊SD16central extension (φ=1)160C10.135(C8:C2^2)320,961
C10.136(C8⋊C22) = C5×D4.2D4central extension (φ=1)160C10.136(C8:C2^2)320,964
C10.137(C8⋊C22) = C5×C8⋊D4central extension (φ=1)160C10.137(C8:C2^2)320,969
C10.138(C8⋊C22) = C5×C82D4central extension (φ=1)160C10.138(C8:C2^2)320,970
C10.139(C8⋊C22) = C5×D42Q8central extension (φ=1)160C10.139(C8:C2^2)320,977
C10.140(C8⋊C22) = C5×C4.Q16central extension (φ=1)320C10.140(C8:C2^2)320,978
C10.141(C8⋊C22) = C5×D4.Q8central extension (φ=1)160C10.141(C8:C2^2)320,979
C10.142(C8⋊C22) = C5×C23.46D4central extension (φ=1)160C10.142(C8:C2^2)320,982
C10.143(C8⋊C22) = C5×C23.19D4central extension (φ=1)160C10.143(C8:C2^2)320,983
C10.144(C8⋊C22) = C5×C23.48D4central extension (φ=1)160C10.144(C8:C2^2)320,985
C10.145(C8⋊C22) = C5×C42.28C22central extension (φ=1)160C10.145(C8:C2^2)320,990
C10.146(C8⋊C22) = C5×C42.29C22central extension (φ=1)160C10.146(C8:C2^2)320,991
C10.147(C8⋊C22) = C5×C83D4central extension (φ=1)160C10.147(C8:C2^2)320,997
C10.148(C8⋊C22) = C5×C8⋊Q8central extension (φ=1)320C10.148(C8:C2^2)320,1002

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