Extensions 1→N→G→Q→1 with N=C4 and Q=C2xC4xD7

Direct product G=NxQ with N=C4 and Q=C2xC4xD7
dρLabelID
D7xC2xC42224D7xC2xC4^2448,924

Semidirect products G=N:Q with N=C4 and Q=C2xC4xD7
extensionφ:Q→Aut NdρLabelID
C4:1(C2xC4xD7) = C4xD4xD7φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4112C4:1(C2xC4xD7)448,997
C4:2(C2xC4xD7) = C2xD28:C4φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4224C4:2(C2xC4xD7)448,956
C4:3(C2xC4xD7) = C2xC4xD28φ: C2xC4xD7/C2xC28C2 ⊆ Aut C4224C4:3(C2xC4xD7)448,926
C4:4(C2xC4xD7) = C2xD7xC4:C4φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4224C4:4(C2xC4xD7)448,954

Non-split extensions G=N.Q with N=C4 and Q=C2xC4xD7
extensionφ:Q→Aut NdρLabelID
C4.1(C2xC4xD7) = Dic7:4D8φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.1(C2xC4xD7)448,290
C4.2(C2xC4xD7) = D4.D7:C4φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.2(C2xC4xD7)448,291
C4.3(C2xC4xD7) = Dic7:6SD16φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.3(C2xC4xD7)448,292
C4.4(C2xC4xD7) = D7xD4:C4φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4112C4.4(C2xC4xD7)448,303
C4.5(C2xC4xD7) = (D4xD7):C4φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4112C4.5(C2xC4xD7)448,304
C4.6(C2xC4xD7) = D4:(C4xD7)φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.6(C2xC4xD7)448,305
C4.7(C2xC4xD7) = D4:2D7:C4φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.7(C2xC4xD7)448,306
C4.8(C2xC4xD7) = D4:D7:C4φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.8(C2xC4xD7)448,319
C4.9(C2xC4xD7) = Dic7:7SD16φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.9(C2xC4xD7)448,322
C4.10(C2xC4xD7) = C7:Q16:C4φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4448C4.10(C2xC4xD7)448,323
C4.11(C2xC4xD7) = Dic7:4Q16φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4448C4.11(C2xC4xD7)448,324
C4.12(C2xC4xD7) = D7xQ8:C4φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.12(C2xC4xD7)448,335
C4.13(C2xC4xD7) = (Q8xD7):C4φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.13(C2xC4xD7)448,336
C4.14(C2xC4xD7) = Q8:(C4xD7)φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.14(C2xC4xD7)448,337
C4.15(C2xC4xD7) = Q8:2D7:C4φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.15(C2xC4xD7)448,338
C4.16(C2xC4xD7) = Q8:D7:C4φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.16(C2xC4xD7)448,351
C4.17(C2xC4xD7) = D7xC4wrC2φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4564C4.17(C2xC4xD7)448,354
C4.18(C2xC4xD7) = C42:D14φ: C2xC4xD7/C4xD7C2 ⊆ Aut C41124C4.18(C2xC4xD7)448,355
C4.19(C2xC4xD7) = M4(2).22D14φ: C2xC4xD7/C4xD7C2 ⊆ Aut C41124C4.19(C2xC4xD7)448,357
C4.20(C2xC4xD7) = C42.196D14φ: C2xC4xD7/C4xD7C2 ⊆ Aut C41124C4.20(C2xC4xD7)448,358
C4.21(C2xC4xD7) = C4xD4:D7φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.21(C2xC4xD7)448,547
C4.22(C2xC4xD7) = C42.48D14φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.22(C2xC4xD7)448,548
C4.23(C2xC4xD7) = C4xD4.D7φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.23(C2xC4xD7)448,551
C4.24(C2xC4xD7) = C42.51D14φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.24(C2xC4xD7)448,552
C4.25(C2xC4xD7) = C4xQ8:D7φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.25(C2xC4xD7)448,559
C4.26(C2xC4xD7) = C42.56D14φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.26(C2xC4xD7)448,560
C4.27(C2xC4xD7) = C4xC7:Q16φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4448C4.27(C2xC4xD7)448,563
C4.28(C2xC4xD7) = C42.59D14φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4448C4.28(C2xC4xD7)448,564
C4.29(C2xC4xD7) = C56.93D4φ: C2xC4xD7/C4xD7C2 ⊆ Aut C41124C4.29(C2xC4xD7)448,678
C4.30(C2xC4xD7) = C56.50D4φ: C2xC4xD7/C4xD7C2 ⊆ Aut C41124C4.30(C2xC4xD7)448,679
C4.31(C2xC4xD7) = C4xD4:2D7φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.31(C2xC4xD7)448,989
C4.32(C2xC4xD7) = C42:11D14φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4112C4.32(C2xC4xD7)448,998
C4.33(C2xC4xD7) = C42.108D14φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.33(C2xC4xD7)448,999
C4.34(C2xC4xD7) = C4xQ8xD7φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.34(C2xC4xD7)448,1024
C4.35(C2xC4xD7) = C42.125D14φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.35(C2xC4xD7)448,1025
C4.36(C2xC4xD7) = C4xQ8:2D7φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.36(C2xC4xD7)448,1026
C4.37(C2xC4xD7) = C42.126D14φ: C2xC4xD7/C4xD7C2 ⊆ Aut C4224C4.37(C2xC4xD7)448,1027
C4.38(C2xC4xD7) = D7xC8oD4φ: C2xC4xD7/C4xD7C2 ⊆ Aut C41124C4.38(C2xC4xD7)448,1202
C4.39(C2xC4xD7) = C56.49C23φ: C2xC4xD7/C4xD7C2 ⊆ Aut C41124C4.39(C2xC4xD7)448,1203
C4.40(C2xC4xD7) = Dic7:8SD16φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4224C4.40(C2xC4xD7)448,386
C4.41(C2xC4xD7) = Dic28:9C4φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4448C4.41(C2xC4xD7)448,387
C4.42(C2xC4xD7) = D56:9C4φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4224C4.42(C2xC4xD7)448,403
C4.43(C2xC4xD7) = Dic7:5D8φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4224C4.43(C2xC4xD7)448,406
C4.44(C2xC4xD7) = Dic28:6C4φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4448C4.44(C2xC4xD7)448,407
C4.45(C2xC4xD7) = C56:C2:C4φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4224C4.45(C2xC4xD7)448,423
C4.46(C2xC4xD7) = D56:10C4φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C41124C4.46(C2xC4xD7)448,428
C4.47(C2xC4xD7) = D56:7C4φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C41124C4.47(C2xC4xD7)448,429
C4.48(C2xC4xD7) = C2xC14.D8φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4224C4.48(C2xC4xD7)448,499
C4.49(C2xC4xD7) = C4oD28:C4φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4224C4.49(C2xC4xD7)448,500
C4.50(C2xC4xD7) = C2xC14.Q16φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4448C4.50(C2xC4xD7)448,503
C4.51(C2xC4xD7) = C4:C4:36D14φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4112C4.51(C2xC4xD7)448,535
C4.52(C2xC4xD7) = C4.(C2xD28)φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4224C4.52(C2xC4xD7)448,536
C4.53(C2xC4xD7) = (C2xC4).47D28φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4224C4.53(C2xC4xD7)448,538
C4.54(C2xC4xD7) = C2xD28:4C4φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4112C4.54(C2xC4xD7)448,672
C4.55(C2xC4xD7) = C23.20D28φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C41124C4.55(C2xC4xD7)448,673
C4.56(C2xC4xD7) = C2xDic7:3Q8φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4448C4.56(C2xC4xD7)448,949
C4.57(C2xC4xD7) = C42.87D14φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4224C4.57(C2xC4xD7)448,969
C4.58(C2xC4xD7) = C42:7D14φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C4112C4.58(C2xC4xD7)448,974
C4.59(C2xC4xD7) = C4xC56:C2φ: C2xC4xD7/C2xC28C2 ⊆ Aut C4224C4.59(C2xC4xD7)448,225
C4.60(C2xC4xD7) = C4xD56φ: C2xC4xD7/C2xC28C2 ⊆ Aut C4224C4.60(C2xC4xD7)448,226
C4.61(C2xC4xD7) = C4xDic28φ: C2xC4xD7/C2xC28C2 ⊆ Aut C4448C4.61(C2xC4xD7)448,232
C4.62(C2xC4xD7) = D56:11C4φ: C2xC4xD7/C2xC28C2 ⊆ Aut C41122C4.62(C2xC4xD7)448,234
C4.63(C2xC4xD7) = C42.16D14φ: C2xC4xD7/C2xC28C2 ⊆ Aut C4224C4.63(C2xC4xD7)448,244
C4.64(C2xC4xD7) = D56:C4φ: C2xC4xD7/C2xC28C2 ⊆ Aut C4224C4.64(C2xC4xD7)448,245
C4.65(C2xC4xD7) = Dic28:C4φ: C2xC4xD7/C2xC28C2 ⊆ Aut C4448C4.65(C2xC4xD7)448,250
C4.66(C2xC4xD7) = D56:4C4φ: C2xC4xD7/C2xC28C2 ⊆ Aut C41124C4.66(C2xC4xD7)448,251
C4.67(C2xC4xD7) = C2xDic14:C4φ: C2xC4xD7/C2xC28C2 ⊆ Aut C4112C4.67(C2xC4xD7)448,461
C4.68(C2xC4xD7) = C42:4D14φ: C2xC4xD7/C2xC28C2 ⊆ Aut C41124C4.68(C2xC4xD7)448,539
C4.69(C2xC4xD7) = C2xC28.44D4φ: C2xC4xD7/C2xC28C2 ⊆ Aut C4448C4.69(C2xC4xD7)448,637
C4.70(C2xC4xD7) = C2xC2.D56φ: C2xC4xD7/C2xC28C2 ⊆ Aut C4224C4.70(C2xC4xD7)448,646
C4.71(C2xC4xD7) = C23.23D28φ: C2xC4xD7/C2xC28C2 ⊆ Aut C4224C4.71(C2xC4xD7)448,647
C4.72(C2xC4xD7) = C23.46D28φ: C2xC4xD7/C2xC28C2 ⊆ Aut C4224C4.72(C2xC4xD7)448,654
C4.73(C2xC4xD7) = C23.48D28φ: C2xC4xD7/C2xC28C2 ⊆ Aut C4112C4.73(C2xC4xD7)448,665
C4.74(C2xC4xD7) = C23.49D28φ: C2xC4xD7/C2xC28C2 ⊆ Aut C4224C4.74(C2xC4xD7)448,667
C4.75(C2xC4xD7) = C2xC4xDic14φ: C2xC4xD7/C2xC28C2 ⊆ Aut C4448C4.75(C2xC4xD7)448,920
C4.76(C2xC4xD7) = D7xC4.Q8φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4224C4.76(C2xC4xD7)448,393
C4.77(C2xC4xD7) = (C8xD7):C4φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4224C4.77(C2xC4xD7)448,394
C4.78(C2xC4xD7) = C8:(C4xD7)φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4224C4.78(C2xC4xD7)448,395
C4.79(C2xC4xD7) = D7xC2.D8φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4224C4.79(C2xC4xD7)448,413
C4.80(C2xC4xD7) = C8.27(C4xD7)φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4224C4.80(C2xC4xD7)448,414
C4.81(C2xC4xD7) = C56:(C2xC4)φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4224C4.81(C2xC4xD7)448,415
C4.82(C2xC4xD7) = D7xC8.C4φ: C2xC4xD7/C22xD7C2 ⊆ Aut C41124C4.82(C2xC4xD7)448,426
C4.83(C2xC4xD7) = M4(2).25D14φ: C2xC4xD7/C22xD7C2 ⊆ Aut C41124C4.83(C2xC4xD7)448,427
C4.84(C2xC4xD7) = C2xC28.Q8φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4448C4.84(C2xC4xD7)448,496
C4.85(C2xC4xD7) = C2xC4.Dic14φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4448C4.85(C2xC4xD7)448,497
C4.86(C2xC4xD7) = C4.Dic7:C4φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4224C4.86(C2xC4xD7)448,498
C4.87(C2xC4xD7) = C28.(C2xQ8)φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4224C4.87(C2xC4xD7)448,529
C4.88(C2xC4xD7) = C28.45(C4:C4)φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4224C4.88(C2xC4xD7)448,532
C4.89(C2xC4xD7) = C2xC28.53D4φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4224C4.89(C2xC4xD7)448,657
C4.90(C2xC4xD7) = C23.Dic14φ: C2xC4xD7/C22xD7C2 ⊆ Aut C41124C4.90(C2xC4xD7)448,658
C4.91(C2xC4xD7) = C2xC4:C4:7D7φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4224C4.91(C2xC4xD7)448,955
C4.92(C2xC4xD7) = C14.82+ 1+4φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4224C4.92(C2xC4xD7)448,957
C4.93(C2xC4xD7) = D7xC42:C2φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4112C4.93(C2xC4xD7)448,973
C4.94(C2xC4xD7) = C42.91D14φ: C2xC4xD7/C22xD7C2 ⊆ Aut C4224C4.94(C2xC4xD7)448,976
C4.95(C2xC4xD7) = C28.70C24φ: C2xC4xD7/C22xD7C2 ⊆ Aut C41124C4.95(C2xC4xD7)448,1198
C4.96(C2xC4xD7) = D7xC4xC8central extension (φ=1)224C4.96(C2xC4xD7)448,218
C4.97(C2xC4xD7) = C4xC8:D7central extension (φ=1)224C4.97(C2xC4xD7)448,221
C4.98(C2xC4xD7) = D14.C42central extension (φ=1)224C4.98(C2xC4xD7)448,223
C4.99(C2xC4xD7) = D7xC8:C4central extension (φ=1)224C4.99(C2xC4xD7)448,238
C4.100(C2xC4xD7) = Dic7.C42central extension (φ=1)224C4.100(C2xC4xD7)448,241
C4.101(C2xC4xD7) = D14.4C42central extension (φ=1)224C4.101(C2xC4xD7)448,242
C4.102(C2xC4xD7) = D7xC2xC16central extension (φ=1)224C4.102(C2xC4xD7)448,433
C4.103(C2xC4xD7) = C2xC16:D7central extension (φ=1)224C4.103(C2xC4xD7)448,434
C4.104(C2xC4xD7) = D28.4C8central extension (φ=1)2242C4.104(C2xC4xD7)448,435
C4.105(C2xC4xD7) = D7xM5(2)central extension (φ=1)1124C4.105(C2xC4xD7)448,440
C4.106(C2xC4xD7) = C16.12D14central extension (φ=1)2244C4.106(C2xC4xD7)448,441
C4.107(C2xC4xD7) = C2xC4xC7:C8central extension (φ=1)448C4.107(C2xC4xD7)448,454
C4.108(C2xC4xD7) = C2xC42.D7central extension (φ=1)448C4.108(C2xC4xD7)448,455
C4.109(C2xC4xD7) = C4xC4.Dic7central extension (φ=1)224C4.109(C2xC4xD7)448,456
C4.110(C2xC4xD7) = C28.5C42central extension (φ=1)224C4.110(C2xC4xD7)448,531
C4.111(C2xC4xD7) = C2xC8xDic7central extension (φ=1)448C4.111(C2xC4xD7)448,632
C4.112(C2xC4xD7) = C2xC56:C4central extension (φ=1)448C4.112(C2xC4xD7)448,634
C4.113(C2xC4xD7) = C28.12C42central extension (φ=1)224C4.113(C2xC4xD7)448,635
C4.114(C2xC4xD7) = M4(2)xDic7central extension (φ=1)224C4.114(C2xC4xD7)448,651
C4.115(C2xC4xD7) = C28.7C42central extension (φ=1)224C4.115(C2xC4xD7)448,656
C4.116(C2xC4xD7) = C2xC42:D7central extension (φ=1)224C4.116(C2xC4xD7)448,925
C4.117(C2xC4xD7) = C4xC4oD28central extension (φ=1)224C4.117(C2xC4xD7)448,927
C4.118(C2xC4xD7) = C42.188D14central extension (φ=1)224C4.118(C2xC4xD7)448,975
C4.119(C2xC4xD7) = D7xC22xC8central extension (φ=1)224C4.119(C2xC4xD7)448,1189
C4.120(C2xC4xD7) = C22xC8:D7central extension (φ=1)224C4.120(C2xC4xD7)448,1190
C4.121(C2xC4xD7) = C2xD28.2C4central extension (φ=1)224C4.121(C2xC4xD7)448,1191
C4.122(C2xC4xD7) = C2xD7xM4(2)central extension (φ=1)112C4.122(C2xC4xD7)448,1196
C4.123(C2xC4xD7) = C2xD28.C4central extension (φ=1)224C4.123(C2xC4xD7)448,1197

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