Extensions 1→N→G→Q→1 with N=C4 and Q=C8⋊C22

Direct product G=N×Q with N=C4 and Q=C8⋊C22
dρLabelID
C4×C8⋊C2232C4xC8:C2^2128,1676

Semidirect products G=N:Q with N=C4 and Q=C8⋊C22
extensionφ:Q→Aut NdρLabelID
C41(C8⋊C22) = M4(2)⋊7D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C432C4:1(C8:C2^2)128,1883
C42(C8⋊C22) = D84D4φ: C8⋊C22/D8C2 ⊆ Aut C432C4:2(C8:C2^2)128,2004
C43(C8⋊C22) = SD161D4φ: C8⋊C22/SD16C2 ⊆ Aut C432C4:3(C8:C2^2)128,2006
C44(C8⋊C22) = C42.211D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C432C4:4(C8:C2^2)128,1768
C45(C8⋊C22) = C42.444D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C432C4:5(C8:C2^2)128,1770

Non-split extensions G=N.Q with N=C4 and Q=C8⋊C22
extensionφ:Q→Aut NdρLabelID
C4.1(C8⋊C22) = C85SD16φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.1(C8:C2^2)128,446
C4.2(C8⋊C22) = C86SD16φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.2(C8:C2^2)128,447
C4.3(C8⋊C22) = C42.664C23φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.3(C8:C2^2)128,449
C4.4(C8⋊C22) = C42.666C23φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.4(C8:C2^2)128,451
C4.5(C8⋊C22) = C42.667C23φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.5(C8:C2^2)128,452
C4.6(C8⋊C22) = C83D8φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.6(C8:C2^2)128,453
C4.7(C8⋊C22) = C83Q16φ: C8⋊C22/M4(2)C2 ⊆ Aut C4128C4.7(C8:C2^2)128,455
C4.8(C8⋊C22) = D87D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C432C4.8(C8:C2^2)128,916
C4.9(C8⋊C22) = Q167D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.9(C8:C2^2)128,917
C4.10(C8⋊C22) = D88D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.10(C8:C2^2)128,918
C4.11(C8⋊C22) = D8.9D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C432C4.11(C8:C2^2)128,919
C4.12(C8⋊C22) = Q16.8D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.12(C8:C2^2)128,920
C4.13(C8⋊C22) = D8.10D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.13(C8:C2^2)128,921
C4.14(C8⋊C22) = D82D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.14(C8:C2^2)128,938
C4.15(C8⋊C22) = Q162D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.15(C8:C2^2)128,939
C4.16(C8⋊C22) = D8.4D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.16(C8:C2^2)128,940
C4.17(C8⋊C22) = Q16.4D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C4128C4.17(C8:C2^2)128,941
C4.18(C8⋊C22) = D8.5D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.18(C8:C2^2)128,942
C4.19(C8⋊C22) = Q16.5D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.19(C8:C2^2)128,943
C4.20(C8⋊C22) = C42.240D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C432C4.20(C8:C2^2)128,1870
C4.21(C8⋊C22) = C42.243D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.21(C8:C2^2)128,1873
C4.22(C8⋊C22) = M4(2)⋊5Q8φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.22(C8:C2^2)128,1897
C4.23(C8⋊C22) = C42.259D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.23(C8:C2^2)128,1914
C4.24(C8⋊C22) = C42.261D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.24(C8:C2^2)128,1916
C4.25(C8⋊C22) = C42.263D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C432C4.25(C8:C2^2)128,1937
C4.26(C8⋊C22) = C42.265D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.26(C8:C2^2)128,1939
C4.27(C8⋊C22) = C42.266D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C432C4.27(C8:C2^2)128,1940
C4.28(C8⋊C22) = C42.279D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.28(C8:C2^2)128,1959
C4.29(C8⋊C22) = C42.280D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.29(C8:C2^2)128,1960
C4.30(C8⋊C22) = C42.282D4φ: C8⋊C22/M4(2)C2 ⊆ Aut C464C4.30(C8:C2^2)128,1962
C4.31(C8⋊C22) = D4⋊SD16φ: C8⋊C22/D8C2 ⊆ Aut C464C4.31(C8:C2^2)128,354
C4.32(C8⋊C22) = C42.185C23φ: C8⋊C22/D8C2 ⊆ Aut C464C4.32(C8:C2^2)128,356
C4.33(C8⋊C22) = D42SD16φ: C8⋊C22/D8C2 ⊆ Aut C432C4.33(C8:C2^2)128,361
C4.34(C8⋊C22) = Q82SD16φ: C8⋊C22/D8C2 ⊆ Aut C464C4.34(C8:C2^2)128,363
C4.35(C8⋊C22) = D4.SD16φ: C8⋊C22/D8C2 ⊆ Aut C464C4.35(C8:C2^2)128,367
C4.36(C8⋊C22) = D4.3Q16φ: C8⋊C22/D8C2 ⊆ Aut C464C4.36(C8:C2^2)128,369
C4.37(C8⋊C22) = D43Q16φ: C8⋊C22/D8C2 ⊆ Aut C464C4.37(C8:C2^2)128,376
C4.38(C8⋊C22) = C42.207C23φ: C8⋊C22/D8C2 ⊆ Aut C464C4.38(C8:C2^2)128,378
C4.39(C8⋊C22) = Q84SD16φ: C8⋊C22/D8C2 ⊆ Aut C464C4.39(C8:C2^2)128,383
C4.40(C8⋊C22) = C42.213C23φ: C8⋊C22/D8C2 ⊆ Aut C464C4.40(C8:C2^2)128,384
C4.41(C8⋊C22) = D44SD16φ: C8⋊C22/D8C2 ⊆ Aut C464C4.41(C8:C2^2)128,386
C4.42(C8⋊C22) = C83SD16φ: C8⋊C22/D8C2 ⊆ Aut C464C4.42(C8:C2^2)128,423
C4.43(C8⋊C22) = C8⋊Q16φ: C8⋊C22/D8C2 ⊆ Aut C4128C4.43(C8:C2^2)128,424
C4.44(C8⋊C22) = C42.249C23φ: C8⋊C22/D8C2 ⊆ Aut C464C4.44(C8:C2^2)128,430
C4.45(C8⋊C22) = C42.250C23φ: C8⋊C22/D8C2 ⊆ Aut C464C4.45(C8:C2^2)128,431
C4.46(C8⋊C22) = C42.251C23φ: C8⋊C22/D8C2 ⊆ Aut C4128C4.46(C8:C2^2)128,432
C4.47(C8⋊C22) = C42.474C23φ: C8⋊C22/D8C2 ⊆ Aut C432C4.47(C8:C2^2)128,2057
C4.48(C8⋊C22) = C42.479C23φ: C8⋊C22/D8C2 ⊆ Aut C464C4.48(C8:C2^2)128,2062
C4.49(C8⋊C22) = C42.495C23φ: C8⋊C22/D8C2 ⊆ Aut C464C4.49(C8:C2^2)128,2086
C4.50(C8⋊C22) = C42.507C23φ: C8⋊C22/D8C2 ⊆ Aut C464C4.50(C8:C2^2)128,2098
C4.51(C8⋊C22) = C42.508C23φ: C8⋊C22/D8C2 ⊆ Aut C464C4.51(C8:C2^2)128,2099
C4.52(C8⋊C22) = D84Q8φ: C8⋊C22/D8C2 ⊆ Aut C464C4.52(C8:C2^2)128,2116
C4.53(C8⋊C22) = C42.72C23φ: C8⋊C22/D8C2 ⊆ Aut C464C4.53(C8:C2^2)128,2129
C4.54(C8⋊C22) = D4⋊D8φ: C8⋊C22/SD16C2 ⊆ Aut C432C4.54(C8:C2^2)128,351
C4.55(C8⋊C22) = C42.181C23φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.55(C8:C2^2)128,352
C4.56(C8⋊C22) = Q8⋊D8φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.56(C8:C2^2)128,353
C4.57(C8⋊C22) = D43D8φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.57(C8:C2^2)128,357
C4.58(C8⋊C22) = Q86SD16φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.58(C8:C2^2)128,358
C4.59(C8⋊C22) = Q83D8φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.59(C8:C2^2)128,359
C4.60(C8⋊C22) = C42.189C23φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.60(C8:C2^2)128,360
C4.61(C8⋊C22) = D4.D8φ: C8⋊C22/SD16C2 ⊆ Aut C432C4.61(C8:C2^2)128,371
C4.62(C8⋊C22) = C42.201C23φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.62(C8:C2^2)128,372
C4.63(C8⋊C22) = Q8.D8φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.63(C8:C2^2)128,373
C4.64(C8⋊C22) = Q83SD16φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.64(C8:C2^2)128,374
C4.65(C8⋊C22) = D4.7D8φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.65(C8:C2^2)128,379
C4.66(C8⋊C22) = Q84Q16φ: C8⋊C22/SD16C2 ⊆ Aut C4128C4.66(C8:C2^2)128,380
C4.67(C8⋊C22) = D44Q16φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.67(C8:C2^2)128,381
C4.68(C8⋊C22) = C42.211C23φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.68(C8:C2^2)128,382
C4.69(C8⋊C22) = C82D8φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.69(C8:C2^2)128,419
C4.70(C8⋊C22) = C82SD16φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.70(C8:C2^2)128,420
C4.71(C8⋊C22) = C84SD16φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.71(C8:C2^2)128,425
C4.72(C8⋊C22) = C82Q16φ: C8⋊C22/SD16C2 ⊆ Aut C4128C4.72(C8:C2^2)128,426
C4.73(C8⋊C22) = C42.252C23φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.73(C8:C2^2)128,433
C4.74(C8⋊C22) = C42.253C23φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.74(C8:C2^2)128,434
C4.75(C8⋊C22) = C42.473C23φ: C8⋊C22/SD16C2 ⊆ Aut C432C4.75(C8:C2^2)128,2056
C4.76(C8⋊C22) = C42.481C23φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.76(C8:C2^2)128,2064
C4.77(C8⋊C22) = C42.494C23φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.77(C8:C2^2)128,2085
C4.78(C8⋊C22) = C42.509C23φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.78(C8:C2^2)128,2100
C4.79(C8⋊C22) = C42.514C23φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.79(C8:C2^2)128,2105
C4.80(C8⋊C22) = SD162Q8φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.80(C8:C2^2)128,2118
C4.81(C8⋊C22) = C42.74C23φ: C8⋊C22/SD16C2 ⊆ Aut C464C4.81(C8:C2^2)128,2131
C4.82(C8⋊C22) = C42.78D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.82(C8:C2^2)128,279
C4.83(C8⋊C22) = C42.79D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.83(C8:C2^2)128,282
C4.84(C8⋊C22) = C42.80D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.84(C8:C2^2)128,283
C4.85(C8⋊C22) = C42.81D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.85(C8:C2^2)128,284
C4.86(C8⋊C22) = C42.86D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.86(C8:C2^2)128,291
C4.87(C8⋊C22) = C42.87D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.87(C8:C2^2)128,292
C4.88(C8⋊C22) = C42.88D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.88(C8:C2^2)128,293
C4.89(C8⋊C22) = D4.2SD16φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.89(C8:C2^2)128,409
C4.90(C8⋊C22) = D4.3SD16φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.90(C8:C2^2)128,411
C4.91(C8⋊C22) = D4.2D8φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.91(C8:C2^2)128,413
C4.92(C8⋊C22) = D4.Q16φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.92(C8:C2^2)128,415
C4.93(C8⋊C22) = C42.248C23φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.93(C8:C2^2)128,429
C4.94(C8⋊C22) = C42.254C23φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.94(C8:C2^2)128,435
C4.95(C8⋊C22) = Q32⋊C4φ: C8⋊C22/C2×D4C2 ⊆ Aut C4328-C4.95(C8:C2^2)128,912
C4.96(C8⋊C22) = D16⋊C4φ: C8⋊C22/C2×D4C2 ⊆ Aut C4168+C4.96(C8:C2^2)128,913
C4.97(C8⋊C22) = D8⋊D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C4168+C4.97(C8:C2^2)128,922
C4.98(C8⋊C22) = D8.D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C4328-C4.98(C8:C2^2)128,923
C4.99(C8⋊C22) = M5(2).C22φ: C8⋊C22/C2×D4C2 ⊆ Aut C4168+C4.99(C8:C2^2)128,970
C4.100(C8⋊C22) = C23.10SD16φ: C8⋊C22/C2×D4C2 ⊆ Aut C4328-C4.100(C8:C2^2)128,971
C4.101(C8⋊C22) = C42.219D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C432C4.101(C8:C2^2)128,1809
C4.102(C8⋊C22) = C42.227D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C432C4.102(C8:C2^2)128,1841
C4.103(C8⋊C22) = C42.228D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C432C4.103(C8:C2^2)128,1842
C4.104(C8⋊C22) = C42.272D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.104(C8:C2^2)128,1946
C4.105(C8⋊C22) = C42.287D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.105(C8:C2^2)128,1967
C4.106(C8⋊C22) = C42.301D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.106(C8:C2^2)128,1985
C4.107(C8⋊C22) = C42.302D4φ: C8⋊C22/C2×D4C2 ⊆ Aut C464C4.107(C8:C2^2)128,1986
C4.108(C8⋊C22) = C42.413D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C432C4.108(C8:C2^2)128,277
C4.109(C8⋊C22) = C42.416D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.109(C8:C2^2)128,281
C4.110(C8⋊C22) = C42.417D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.110(C8:C2^2)128,285
C4.111(C8⋊C22) = C42.82D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C432C4.111(C8:C2^2)128,287
C4.112(C8⋊C22) = C42.83D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.112(C8:C2^2)128,288
C4.113(C8⋊C22) = C42.84D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.113(C8:C2^2)128,289
C4.114(C8⋊C22) = C88D8φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.114(C8:C2^2)128,397
C4.115(C8⋊C22) = C814SD16φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.115(C8:C2^2)128,398
C4.116(C8⋊C22) = C87D8φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.116(C8:C2^2)128,399
C4.117(C8⋊C22) = C813SD16φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.117(C8:C2^2)128,400
C4.118(C8⋊C22) = C8.28D8φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.118(C8:C2^2)128,401
C4.119(C8⋊C22) = Q81Q16φ: C8⋊C22/C4○D4C2 ⊆ Aut C4128C4.119(C8:C2^2)128,402
C4.120(C8⋊C22) = C8⋊D8φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.120(C8:C2^2)128,417
C4.121(C8⋊C22) = C8⋊SD16φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.121(C8:C2^2)128,418
C4.122(C8⋊C22) = C8.D8φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.122(C8:C2^2)128,421
C4.123(C8⋊C22) = C8.SD16φ: C8⋊C22/C4○D4C2 ⊆ Aut C4128C4.123(C8:C2^2)128,422
C4.124(C8⋊C22) = C42.448D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.124(C8:C2^2)128,1811
C4.125(C8⋊C22) = C42.233D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.125(C8:C2^2)128,1847
C4.126(C8⋊C22) = C42.275D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C432C4.126(C8:C2^2)128,1949
C4.127(C8⋊C22) = C42.291D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.127(C8:C2^2)128,1971
C4.128(C8⋊C22) = C42.299D4φ: C8⋊C22/C4○D4C2 ⊆ Aut C464C4.128(C8:C2^2)128,1983
C4.129(C8⋊C22) = C42.397D4central extension (φ=1)64C4.129(C8:C2^2)128,209
C4.130(C8⋊C22) = C42.398D4central extension (φ=1)32C4.130(C8:C2^2)128,210
C4.131(C8⋊C22) = C42.47D4central extension (φ=1)64C4.131(C8:C2^2)128,215
C4.132(C8⋊C22) = C42.400D4central extension (φ=1)64C4.132(C8:C2^2)128,216
C4.133(C8⋊C22) = D44M4(2)central extension (φ=1)64C4.133(C8:C2^2)128,221
C4.134(C8⋊C22) = D45M4(2)central extension (φ=1)32C4.134(C8:C2^2)128,222
C4.135(C8⋊C22) = C42.52D4central extension (φ=1)64C4.135(C8:C2^2)128,227
C4.136(C8⋊C22) = C42.53D4central extension (φ=1)64C4.136(C8:C2^2)128,228
C4.137(C8⋊C22) = M4(2)⋊1C8central extension (φ=1)64C4.137(C8:C2^2)128,297
C4.138(C8⋊C22) = C81M4(2)central extension (φ=1)64C4.138(C8:C2^2)128,301
C4.139(C8⋊C22) = C42.92D4central extension (φ=1)64C4.139(C8:C2^2)128,305
C4.140(C8⋊C22) = C42.21Q8central extension (φ=1)64C4.140(C8:C2^2)128,306
C4.141(C8⋊C22) = SD16⋊C8central extension (φ=1)64C4.141(C8:C2^2)128,310
C4.142(C8⋊C22) = D85C8central extension (φ=1)64C4.142(C8:C2^2)128,312
C4.143(C8⋊C22) = D4.M4(2)central extension (φ=1)64C4.143(C8:C2^2)128,317
C4.144(C8⋊C22) = D42M4(2)central extension (φ=1)64C4.144(C8:C2^2)128,318
C4.145(C8⋊C22) = Q82M4(2)central extension (φ=1)64C4.145(C8:C2^2)128,320
C4.146(C8⋊C22) = C8⋊M4(2)central extension (φ=1)64C4.146(C8:C2^2)128,324
C4.147(C8⋊C22) = C83M4(2)central extension (φ=1)64C4.147(C8:C2^2)128,326
C4.148(C8⋊C22) = C42.225D4central extension (φ=1)32C4.148(C8:C2^2)128,1837
C4.149(C8⋊C22) = C42.450D4central extension (φ=1)64C4.149(C8:C2^2)128,1838
C4.150(C8⋊C22) = C42.255D4central extension (φ=1)64C4.150(C8:C2^2)128,1903

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