# Extensions 1→N→G→Q→1 with N=C4 and Q=C2×C4×D7

Direct product G=N×Q with N=C4 and Q=C2×C4×D7
dρLabelID
D7×C2×C42224D7xC2xC4^2448,924

Semidirect products G=N:Q with N=C4 and Q=C2×C4×D7
extensionφ:Q→Aut NdρLabelID
C41(C2×C4×D7) = C4×D4×D7φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4112C4:1(C2xC4xD7)448,997
C42(C2×C4×D7) = C2×D28⋊C4φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4224C4:2(C2xC4xD7)448,956
C43(C2×C4×D7) = C2×C4×D28φ: C2×C4×D7/C2×C28C2 ⊆ Aut C4224C4:3(C2xC4xD7)448,926
C44(C2×C4×D7) = C2×D7×C4⋊C4φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4224C4:4(C2xC4xD7)448,954

Non-split extensions G=N.Q with N=C4 and Q=C2×C4×D7
extensionφ:Q→Aut NdρLabelID
C4.1(C2×C4×D7) = Dic74D8φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.1(C2xC4xD7)448,290
C4.2(C2×C4×D7) = D4.D7⋊C4φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.2(C2xC4xD7)448,291
C4.3(C2×C4×D7) = Dic76SD16φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.3(C2xC4xD7)448,292
C4.4(C2×C4×D7) = D7×D4⋊C4φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4112C4.4(C2xC4xD7)448,303
C4.5(C2×C4×D7) = (D4×D7)⋊C4φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4112C4.5(C2xC4xD7)448,304
C4.6(C2×C4×D7) = D4⋊(C4×D7)φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.6(C2xC4xD7)448,305
C4.7(C2×C4×D7) = D42D7⋊C4φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.7(C2xC4xD7)448,306
C4.8(C2×C4×D7) = D4⋊D7⋊C4φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.8(C2xC4xD7)448,319
C4.9(C2×C4×D7) = Dic77SD16φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.9(C2xC4xD7)448,322
C4.10(C2×C4×D7) = C7⋊Q16⋊C4φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4448C4.10(C2xC4xD7)448,323
C4.11(C2×C4×D7) = Dic74Q16φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4448C4.11(C2xC4xD7)448,324
C4.12(C2×C4×D7) = D7×Q8⋊C4φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.12(C2xC4xD7)448,335
C4.13(C2×C4×D7) = (Q8×D7)⋊C4φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.13(C2xC4xD7)448,336
C4.14(C2×C4×D7) = Q8⋊(C4×D7)φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.14(C2xC4xD7)448,337
C4.15(C2×C4×D7) = Q82D7⋊C4φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.15(C2xC4xD7)448,338
C4.16(C2×C4×D7) = Q8⋊D7⋊C4φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.16(C2xC4xD7)448,351
C4.17(C2×C4×D7) = D7×C4≀C2φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4564C4.17(C2xC4xD7)448,354
C4.18(C2×C4×D7) = C42⋊D14φ: C2×C4×D7/C4×D7C2 ⊆ Aut C41124C4.18(C2xC4xD7)448,355
C4.19(C2×C4×D7) = M4(2).22D14φ: C2×C4×D7/C4×D7C2 ⊆ Aut C41124C4.19(C2xC4xD7)448,357
C4.20(C2×C4×D7) = C42.196D14φ: C2×C4×D7/C4×D7C2 ⊆ Aut C41124C4.20(C2xC4xD7)448,358
C4.21(C2×C4×D7) = C4×D4⋊D7φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.21(C2xC4xD7)448,547
C4.22(C2×C4×D7) = C42.48D14φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.22(C2xC4xD7)448,548
C4.23(C2×C4×D7) = C4×D4.D7φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.23(C2xC4xD7)448,551
C4.24(C2×C4×D7) = C42.51D14φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.24(C2xC4xD7)448,552
C4.25(C2×C4×D7) = C4×Q8⋊D7φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.25(C2xC4xD7)448,559
C4.26(C2×C4×D7) = C42.56D14φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.26(C2xC4xD7)448,560
C4.27(C2×C4×D7) = C4×C7⋊Q16φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4448C4.27(C2xC4xD7)448,563
C4.28(C2×C4×D7) = C42.59D14φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4448C4.28(C2xC4xD7)448,564
C4.29(C2×C4×D7) = C56.93D4φ: C2×C4×D7/C4×D7C2 ⊆ Aut C41124C4.29(C2xC4xD7)448,678
C4.30(C2×C4×D7) = C56.50D4φ: C2×C4×D7/C4×D7C2 ⊆ Aut C41124C4.30(C2xC4xD7)448,679
C4.31(C2×C4×D7) = C4×D42D7φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.31(C2xC4xD7)448,989
C4.32(C2×C4×D7) = C4211D14φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4112C4.32(C2xC4xD7)448,998
C4.33(C2×C4×D7) = C42.108D14φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.33(C2xC4xD7)448,999
C4.34(C2×C4×D7) = C4×Q8×D7φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.34(C2xC4xD7)448,1024
C4.35(C2×C4×D7) = C42.125D14φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.35(C2xC4xD7)448,1025
C4.36(C2×C4×D7) = C4×Q82D7φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.36(C2xC4xD7)448,1026
C4.37(C2×C4×D7) = C42.126D14φ: C2×C4×D7/C4×D7C2 ⊆ Aut C4224C4.37(C2xC4xD7)448,1027
C4.38(C2×C4×D7) = D7×C8○D4φ: C2×C4×D7/C4×D7C2 ⊆ Aut C41124C4.38(C2xC4xD7)448,1202
C4.39(C2×C4×D7) = C56.49C23φ: C2×C4×D7/C4×D7C2 ⊆ Aut C41124C4.39(C2xC4xD7)448,1203
C4.40(C2×C4×D7) = Dic78SD16φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4224C4.40(C2xC4xD7)448,386
C4.41(C2×C4×D7) = Dic289C4φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4448C4.41(C2xC4xD7)448,387
C4.42(C2×C4×D7) = D569C4φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4224C4.42(C2xC4xD7)448,403
C4.43(C2×C4×D7) = Dic75D8φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4224C4.43(C2xC4xD7)448,406
C4.44(C2×C4×D7) = Dic286C4φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4448C4.44(C2xC4xD7)448,407
C4.45(C2×C4×D7) = C56⋊C2⋊C4φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4224C4.45(C2xC4xD7)448,423
C4.46(C2×C4×D7) = D5610C4φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C41124C4.46(C2xC4xD7)448,428
C4.47(C2×C4×D7) = D567C4φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C41124C4.47(C2xC4xD7)448,429
C4.48(C2×C4×D7) = C2×C14.D8φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4224C4.48(C2xC4xD7)448,499
C4.49(C2×C4×D7) = C4○D28⋊C4φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4224C4.49(C2xC4xD7)448,500
C4.50(C2×C4×D7) = C2×C14.Q16φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4448C4.50(C2xC4xD7)448,503
C4.51(C2×C4×D7) = C4⋊C436D14φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4112C4.51(C2xC4xD7)448,535
C4.52(C2×C4×D7) = C4.(C2×D28)φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4224C4.52(C2xC4xD7)448,536
C4.53(C2×C4×D7) = (C2×C4).47D28φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4224C4.53(C2xC4xD7)448,538
C4.54(C2×C4×D7) = C2×D284C4φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4112C4.54(C2xC4xD7)448,672
C4.55(C2×C4×D7) = C23.20D28φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C41124C4.55(C2xC4xD7)448,673
C4.56(C2×C4×D7) = C2×Dic73Q8φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4448C4.56(C2xC4xD7)448,949
C4.57(C2×C4×D7) = C42.87D14φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4224C4.57(C2xC4xD7)448,969
C4.58(C2×C4×D7) = C427D14φ: C2×C4×D7/C2×Dic7C2 ⊆ Aut C4112C4.58(C2xC4xD7)448,974
C4.59(C2×C4×D7) = C4×C56⋊C2φ: C2×C4×D7/C2×C28C2 ⊆ Aut C4224C4.59(C2xC4xD7)448,225
C4.60(C2×C4×D7) = C4×D56φ: C2×C4×D7/C2×C28C2 ⊆ Aut C4224C4.60(C2xC4xD7)448,226
C4.61(C2×C4×D7) = C4×Dic28φ: C2×C4×D7/C2×C28C2 ⊆ Aut C4448C4.61(C2xC4xD7)448,232
C4.62(C2×C4×D7) = D5611C4φ: C2×C4×D7/C2×C28C2 ⊆ Aut C41122C4.62(C2xC4xD7)448,234
C4.63(C2×C4×D7) = C42.16D14φ: C2×C4×D7/C2×C28C2 ⊆ Aut C4224C4.63(C2xC4xD7)448,244
C4.64(C2×C4×D7) = D56⋊C4φ: C2×C4×D7/C2×C28C2 ⊆ Aut C4224C4.64(C2xC4xD7)448,245
C4.65(C2×C4×D7) = Dic28⋊C4φ: C2×C4×D7/C2×C28C2 ⊆ Aut C4448C4.65(C2xC4xD7)448,250
C4.66(C2×C4×D7) = D564C4φ: C2×C4×D7/C2×C28C2 ⊆ Aut C41124C4.66(C2xC4xD7)448,251
C4.67(C2×C4×D7) = C2×Dic14⋊C4φ: C2×C4×D7/C2×C28C2 ⊆ Aut C4112C4.67(C2xC4xD7)448,461
C4.68(C2×C4×D7) = C424D14φ: C2×C4×D7/C2×C28C2 ⊆ Aut C41124C4.68(C2xC4xD7)448,539
C4.69(C2×C4×D7) = C2×C28.44D4φ: C2×C4×D7/C2×C28C2 ⊆ Aut C4448C4.69(C2xC4xD7)448,637
C4.70(C2×C4×D7) = C2×C2.D56φ: C2×C4×D7/C2×C28C2 ⊆ Aut C4224C4.70(C2xC4xD7)448,646
C4.71(C2×C4×D7) = C23.23D28φ: C2×C4×D7/C2×C28C2 ⊆ Aut C4224C4.71(C2xC4xD7)448,647
C4.72(C2×C4×D7) = C23.46D28φ: C2×C4×D7/C2×C28C2 ⊆ Aut C4224C4.72(C2xC4xD7)448,654
C4.73(C2×C4×D7) = C23.48D28φ: C2×C4×D7/C2×C28C2 ⊆ Aut C4112C4.73(C2xC4xD7)448,665
C4.74(C2×C4×D7) = C23.49D28φ: C2×C4×D7/C2×C28C2 ⊆ Aut C4224C4.74(C2xC4xD7)448,667
C4.75(C2×C4×D7) = C2×C4×Dic14φ: C2×C4×D7/C2×C28C2 ⊆ Aut C4448C4.75(C2xC4xD7)448,920
C4.76(C2×C4×D7) = D7×C4.Q8φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4224C4.76(C2xC4xD7)448,393
C4.77(C2×C4×D7) = (C8×D7)⋊C4φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4224C4.77(C2xC4xD7)448,394
C4.78(C2×C4×D7) = C8⋊(C4×D7)φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4224C4.78(C2xC4xD7)448,395
C4.79(C2×C4×D7) = D7×C2.D8φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4224C4.79(C2xC4xD7)448,413
C4.80(C2×C4×D7) = C8.27(C4×D7)φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4224C4.80(C2xC4xD7)448,414
C4.81(C2×C4×D7) = C56⋊(C2×C4)φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4224C4.81(C2xC4xD7)448,415
C4.82(C2×C4×D7) = D7×C8.C4φ: C2×C4×D7/C22×D7C2 ⊆ Aut C41124C4.82(C2xC4xD7)448,426
C4.83(C2×C4×D7) = M4(2).25D14φ: C2×C4×D7/C22×D7C2 ⊆ Aut C41124C4.83(C2xC4xD7)448,427
C4.84(C2×C4×D7) = C2×C28.Q8φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4448C4.84(C2xC4xD7)448,496
C4.85(C2×C4×D7) = C2×C4.Dic14φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4448C4.85(C2xC4xD7)448,497
C4.86(C2×C4×D7) = C4.Dic7⋊C4φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4224C4.86(C2xC4xD7)448,498
C4.87(C2×C4×D7) = C28.(C2×Q8)φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4224C4.87(C2xC4xD7)448,529
C4.88(C2×C4×D7) = C28.45(C4⋊C4)φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4224C4.88(C2xC4xD7)448,532
C4.89(C2×C4×D7) = C2×C28.53D4φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4224C4.89(C2xC4xD7)448,657
C4.90(C2×C4×D7) = C23.Dic14φ: C2×C4×D7/C22×D7C2 ⊆ Aut C41124C4.90(C2xC4xD7)448,658
C4.91(C2×C4×D7) = C2×C4⋊C47D7φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4224C4.91(C2xC4xD7)448,955
C4.92(C2×C4×D7) = C14.82+ 1+4φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4224C4.92(C2xC4xD7)448,957
C4.93(C2×C4×D7) = D7×C42⋊C2φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4112C4.93(C2xC4xD7)448,973
C4.94(C2×C4×D7) = C42.91D14φ: C2×C4×D7/C22×D7C2 ⊆ Aut C4224C4.94(C2xC4xD7)448,976
C4.95(C2×C4×D7) = C28.70C24φ: C2×C4×D7/C22×D7C2 ⊆ Aut C41124C4.95(C2xC4xD7)448,1198
C4.96(C2×C4×D7) = D7×C4×C8central extension (φ=1)224C4.96(C2xC4xD7)448,218
C4.97(C2×C4×D7) = C4×C8⋊D7central extension (φ=1)224C4.97(C2xC4xD7)448,221
C4.98(C2×C4×D7) = D14.C42central extension (φ=1)224C4.98(C2xC4xD7)448,223
C4.99(C2×C4×D7) = D7×C8⋊C4central extension (φ=1)224C4.99(C2xC4xD7)448,238
C4.100(C2×C4×D7) = Dic7.C42central extension (φ=1)224C4.100(C2xC4xD7)448,241
C4.101(C2×C4×D7) = D14.4C42central extension (φ=1)224C4.101(C2xC4xD7)448,242
C4.102(C2×C4×D7) = D7×C2×C16central extension (φ=1)224C4.102(C2xC4xD7)448,433
C4.103(C2×C4×D7) = C2×C16⋊D7central extension (φ=1)224C4.103(C2xC4xD7)448,434
C4.104(C2×C4×D7) = D28.4C8central extension (φ=1)2242C4.104(C2xC4xD7)448,435
C4.105(C2×C4×D7) = D7×M5(2)central extension (φ=1)1124C4.105(C2xC4xD7)448,440
C4.106(C2×C4×D7) = C16.12D14central extension (φ=1)2244C4.106(C2xC4xD7)448,441
C4.107(C2×C4×D7) = C2×C4×C7⋊C8central extension (φ=1)448C4.107(C2xC4xD7)448,454
C4.108(C2×C4×D7) = C2×C42.D7central extension (φ=1)448C4.108(C2xC4xD7)448,455
C4.109(C2×C4×D7) = C4×C4.Dic7central extension (φ=1)224C4.109(C2xC4xD7)448,456
C4.110(C2×C4×D7) = C28.5C42central extension (φ=1)224C4.110(C2xC4xD7)448,531
C4.111(C2×C4×D7) = C2×C8×Dic7central extension (φ=1)448C4.111(C2xC4xD7)448,632
C4.112(C2×C4×D7) = C2×C56⋊C4central extension (φ=1)448C4.112(C2xC4xD7)448,634
C4.113(C2×C4×D7) = C28.12C42central extension (φ=1)224C4.113(C2xC4xD7)448,635
C4.114(C2×C4×D7) = M4(2)×Dic7central extension (φ=1)224C4.114(C2xC4xD7)448,651
C4.115(C2×C4×D7) = C28.7C42central extension (φ=1)224C4.115(C2xC4xD7)448,656
C4.116(C2×C4×D7) = C2×C42⋊D7central extension (φ=1)224C4.116(C2xC4xD7)448,925
C4.117(C2×C4×D7) = C4×C4○D28central extension (φ=1)224C4.117(C2xC4xD7)448,927
C4.118(C2×C4×D7) = C42.188D14central extension (φ=1)224C4.118(C2xC4xD7)448,975
C4.119(C2×C4×D7) = D7×C22×C8central extension (φ=1)224C4.119(C2xC4xD7)448,1189
C4.120(C2×C4×D7) = C22×C8⋊D7central extension (φ=1)224C4.120(C2xC4xD7)448,1190
C4.121(C2×C4×D7) = C2×D28.2C4central extension (φ=1)224C4.121(C2xC4xD7)448,1191
C4.122(C2×C4×D7) = C2×D7×M4(2)central extension (φ=1)112C4.122(C2xC4xD7)448,1196
C4.123(C2×C4×D7) = C2×D28.C4central extension (φ=1)224C4.123(C2xC4xD7)448,1197

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