Extensions 1→N→G→Q→1 with N=C4 and Q=C4○D28

Direct product G=N×Q with N=C4 and Q=C4○D28
dρLabelID
C4×C4○D28224C4xC4oD28448,927

Semidirect products G=N:Q with N=C4 and Q=C4○D28
extensionφ:Q→Aut NdρLabelID
C41(C4○D28) = Dic1424D4φ: C4○D28/Dic14C2 ⊆ Aut C4224C4:1(C4oD28)448,1006
C42(C4○D28) = C42.228D14φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4:2(C4oD28)448,1001
C43(C4○D28) = D2824D4φ: C4○D28/D28C2 ⊆ Aut C4224C4:3(C4oD28)448,1004
C44(C4○D28) = C14.2- 1+4φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4:4(C4oD28)448,960
C45(C4○D28) = C42.276D14φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4:5(C4oD28)448,930

Non-split extensions G=N.Q with N=C4 and Q=C4○D28
extensionφ:Q→Aut NdρLabelID
C4.1(C4○D28) = Dic142D4φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.1(C4oD28)448,296
C4.2(C4○D28) = Dic14.D4φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.2(C4oD28)448,301
C4.3(C4○D28) = D283D4φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.3(C4oD28)448,320
C4.4(C4○D28) = D28.D4φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.4(C4oD28)448,321
C4.5(C4○D28) = Dic7⋊Q16φ: C4○D28/Dic14C2 ⊆ Aut C4448C4.5(C4oD28)448,327
C4.6(C4○D28) = Dic14.11D4φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.6(C4oD28)448,332
C4.7(C4○D28) = Dic7⋊SD16φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.7(C4oD28)448,352
C4.8(C4○D28) = D28.12D4φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.8(C4oD28)448,353
C4.9(C4○D28) = C287D8φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.9(C4oD28)448,549
C4.10(C4○D28) = D4.1D28φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.10(C4oD28)448,550
C4.11(C4○D28) = D4.2D28φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.11(C4oD28)448,553
C4.12(C4○D28) = Q8⋊D28φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.12(C4oD28)448,561
C4.13(C4○D28) = Q8.1D28φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.13(C4oD28)448,562
C4.14(C4○D28) = C287Q16φ: C4○D28/Dic14C2 ⊆ Aut C4448C4.14(C4oD28)448,565
C4.15(C4○D28) = C42.106D14φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.15(C4oD28)448,995
C4.16(C4○D28) = C42.114D14φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.16(C4oD28)448,1012
C4.17(C4○D28) = Dic1410Q8φ: C4○D28/Dic14C2 ⊆ Aut C4448C4.17(C4oD28)448,1020
C4.18(C4○D28) = C42.122D14φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.18(C4oD28)448,1021
C4.19(C4○D28) = C42.136D14φ: C4○D28/Dic14C2 ⊆ Aut C4224C4.19(C4oD28)448,1038
C4.20(C4○D28) = Dic7.SD16φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.20(C4oD28)448,294
C4.21(C4○D28) = C4⋊C4.D14φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.21(C4oD28)448,298
C4.22(C4○D28) = C28⋊Q8⋊C2φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.22(C4oD28)448,299
C4.23(C4○D28) = (C8×Dic7)⋊C2φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.23(C4oD28)448,302
C4.24(C4○D28) = D14⋊D8φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.24(C4oD28)448,309
C4.25(C4○D28) = D14⋊SD16φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.25(C4oD28)448,312
C4.26(C4○D28) = C7⋊C81D4φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.26(C4oD28)448,314
C4.27(C4○D28) = C7⋊C8⋊D4φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.27(C4oD28)448,316
C4.28(C4○D28) = Dic7.1Q16φ: C4○D28/C4×D7C2 ⊆ Aut C4448C4.28(C4oD28)448,326
C4.29(C4○D28) = Q8⋊C4⋊D7φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.29(C4oD28)448,329
C4.30(C4○D28) = C56⋊C4.C2φ: C4○D28/C4×D7C2 ⊆ Aut C4448C4.30(C4oD28)448,331
C4.31(C4○D28) = Q8⋊Dic7⋊C2φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.31(C4oD28)448,334
C4.32(C4○D28) = D142SD16φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.32(C4oD28)448,341
C4.33(C4○D28) = C7⋊(C8⋊D4)φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.33(C4oD28)448,346
C4.34(C4○D28) = D14⋊Q16φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.34(C4oD28)448,347
C4.35(C4○D28) = C7⋊C8.D4φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.35(C4oD28)448,350
C4.36(C4○D28) = C4×D4⋊D7φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.36(C4oD28)448,547
C4.37(C4○D28) = C42.48D14φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.37(C4oD28)448,548
C4.38(C4○D28) = C4×D4.D7φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.38(C4oD28)448,551
C4.39(C4○D28) = C42.51D14φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.39(C4oD28)448,552
C4.40(C4○D28) = C4×Q8⋊D7φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.40(C4oD28)448,559
C4.41(C4○D28) = C42.56D14φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.41(C4oD28)448,560
C4.42(C4○D28) = C4×C7⋊Q16φ: C4○D28/C4×D7C2 ⊆ Aut C4448C4.42(C4oD28)448,563
C4.43(C4○D28) = C42.59D14φ: C4○D28/C4×D7C2 ⊆ Aut C4448C4.43(C4oD28)448,564
C4.44(C4○D28) = C42.229D14φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.44(C4oD28)448,1010
C4.45(C4○D28) = C42.115D14φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.45(C4oD28)448,1014
C4.46(C4○D28) = C42.116D14φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.46(C4oD28)448,1015
C4.47(C4○D28) = C42.232D14φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.47(C4oD28)448,1031
C4.48(C4○D28) = C42.131D14φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.48(C4oD28)448,1033
C4.49(C4○D28) = C42.133D14φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.49(C4oD28)448,1035
C4.50(C4○D28) = C42.134D14φ: C4○D28/C4×D7C2 ⊆ Aut C4224C4.50(C4oD28)448,1036
C4.51(C4○D28) = D14.D8φ: C4○D28/D28C2 ⊆ Aut C4224C4.51(C4oD28)448,308
C4.52(C4○D28) = D14.SD16φ: C4○D28/D28C2 ⊆ Aut C4224C4.52(C4oD28)448,311
C4.53(C4○D28) = C8⋊Dic7⋊C2φ: C4○D28/D28C2 ⊆ Aut C4224C4.53(C4oD28)448,313
C4.54(C4○D28) = C561C4⋊C2φ: C4○D28/D28C2 ⊆ Aut C4224C4.54(C4oD28)448,318
C4.55(C4○D28) = D14.1SD16φ: C4○D28/D28C2 ⊆ Aut C4224C4.55(C4oD28)448,339
C4.56(C4○D28) = D14.Q16φ: C4○D28/D28C2 ⊆ Aut C4224C4.56(C4oD28)448,343
C4.57(C4○D28) = D14⋊C8.C2φ: C4○D28/D28C2 ⊆ Aut C4224C4.57(C4oD28)448,348
C4.58(C4○D28) = (C2×C8).D14φ: C4○D28/D28C2 ⊆ Aut C4224C4.58(C4oD28)448,349
C4.59(C4○D28) = C28.50D8φ: C4○D28/D28C2 ⊆ Aut C4224C4.59(C4oD28)448,541
C4.60(C4○D28) = C28.38SD16φ: C4○D28/D28C2 ⊆ Aut C4224C4.60(C4oD28)448,542
C4.61(C4○D28) = D4.3Dic14φ: C4○D28/D28C2 ⊆ Aut C4224C4.61(C4oD28)448,543
C4.62(C4○D28) = C28.48SD16φ: C4○D28/D28C2 ⊆ Aut C4448C4.62(C4oD28)448,554
C4.63(C4○D28) = C28.23Q16φ: C4○D28/D28C2 ⊆ Aut C4448C4.63(C4oD28)448,555
C4.64(C4○D28) = Q8.3Dic14φ: C4○D28/D28C2 ⊆ Aut C4448C4.64(C4oD28)448,556
C4.65(C4○D28) = C42.113D14φ: C4○D28/D28C2 ⊆ Aut C4224C4.65(C4oD28)448,1011
C4.66(C4○D28) = C42.117D14φ: C4○D28/D28C2 ⊆ Aut C4224C4.66(C4oD28)448,1016
C4.67(C4○D28) = D2810Q8φ: C4○D28/D28C2 ⊆ Aut C4224C4.67(C4oD28)448,1032
C4.68(C4○D28) = C42.132D14φ: C4○D28/D28C2 ⊆ Aut C4224C4.68(C4oD28)448,1034
C4.69(C4○D28) = C42.135D14φ: C4○D28/D28C2 ⊆ Aut C4224C4.69(C4oD28)448,1037
C4.70(C4○D28) = Dic14⋊Q8φ: C4○D28/C7⋊D4C2 ⊆ Aut C4448C4.70(C4oD28)448,388
C4.71(C4○D28) = Dic14.Q8φ: C4○D28/C7⋊D4C2 ⊆ Aut C4448C4.71(C4oD28)448,391
C4.72(C4○D28) = D14.2SD16φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.72(C4oD28)448,396
C4.73(C4○D28) = D14.4SD16φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.73(C4oD28)448,397
C4.74(C4○D28) = C4.Q8⋊D7φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.74(C4oD28)448,400
C4.75(C4○D28) = C28.(C4○D4)φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.75(C4oD28)448,401
C4.76(C4○D28) = D28⋊Q8φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.76(C4oD28)448,404
C4.77(C4○D28) = D28.Q8φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.77(C4oD28)448,405
C4.78(C4○D28) = Dic142Q8φ: C4○D28/C7⋊D4C2 ⊆ Aut C4448C4.78(C4oD28)448,409
C4.79(C4○D28) = Dic14.2Q8φ: C4○D28/C7⋊D4C2 ⊆ Aut C4448C4.79(C4oD28)448,411
C4.80(C4○D28) = D14.5D8φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.80(C4oD28)448,416
C4.81(C4○D28) = D14.2Q16φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.81(C4oD28)448,418
C4.82(C4○D28) = C2.D8⋊D7φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.82(C4oD28)448,419
C4.83(C4○D28) = C2.D87D7φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.83(C4oD28)448,422
C4.84(C4○D28) = D282Q8φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.84(C4oD28)448,424
C4.85(C4○D28) = D28.2Q8φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.85(C4oD28)448,425
C4.86(C4○D28) = (C2×C14).40D8φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.86(C4oD28)448,501
C4.87(C4○D28) = C4⋊C4.228D14φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.87(C4oD28)448,502
C4.88(C4○D28) = C4⋊C4.230D14φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.88(C4oD28)448,504
C4.89(C4○D28) = C4⋊C4.231D14φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.89(C4oD28)448,505
C4.90(C4○D28) = C4⋊C4.233D14φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.90(C4oD28)448,530
C4.91(C4○D28) = C4⋊C4.236D14φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.91(C4oD28)448,537
C4.92(C4○D28) = C14.102+ 1+4φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.92(C4oD28)448,964
C4.93(C4○D28) = C14.52- 1+4φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.93(C4oD28)448,966
C4.94(C4○D28) = C14.112+ 1+4φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.94(C4oD28)448,967
C4.95(C4○D28) = C42.94D14φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.95(C4oD28)448,982
C4.96(C4○D28) = C42.95D14φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.96(C4oD28)448,983
C4.97(C4○D28) = C42.97D14φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.97(C4oD28)448,985
C4.98(C4○D28) = C42.98D14φ: C4○D28/C7⋊D4C2 ⊆ Aut C4224C4.98(C4oD28)448,986
C4.99(C4○D28) = C28.14Q16φ: C4○D28/C2×C28C2 ⊆ Aut C4448C4.99(C4oD28)448,215
C4.100(C4○D28) = C4×C56⋊C2φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.100(C4oD28)448,225
C4.101(C4○D28) = C4×D56φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.101(C4oD28)448,226
C4.102(C4○D28) = C4.5D56φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.102(C4oD28)448,228
C4.103(C4○D28) = C42.264D14φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.103(C4oD28)448,231
C4.104(C4○D28) = C4×Dic28φ: C4○D28/C2×C28C2 ⊆ Aut C4448C4.104(C4oD28)448,232
C4.105(C4○D28) = C42.14D14φ: C4○D28/C2×C28C2 ⊆ Aut C4448C4.105(C4oD28)448,237
C4.106(C4○D28) = C42.16D14φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.106(C4oD28)448,244
C4.107(C4○D28) = D56⋊C4φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.107(C4oD28)448,245
C4.108(C4○D28) = C42.19D14φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.108(C4oD28)448,247
C4.109(C4○D28) = C42.20D14φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.109(C4oD28)448,248
C4.110(C4○D28) = Dic28⋊C4φ: C4○D28/C2×C28C2 ⊆ Aut C4448C4.110(C4oD28)448,250
C4.111(C4○D28) = C5630D4φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.111(C4oD28)448,648
C4.112(C4○D28) = C5629D4φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.112(C4oD28)448,649
C4.113(C4○D28) = C56.82D4φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.113(C4oD28)448,650
C4.114(C4○D28) = C562D4φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.114(C4oD28)448,668
C4.115(C4○D28) = C563D4φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.115(C4oD28)448,669
C4.116(C4○D28) = C56.4D4φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.116(C4oD28)448,671
C4.117(C4○D28) = C42.274D14φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.117(C4oD28)448,923
C4.118(C4○D28) = C42.277D14φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.118(C4oD28)448,932
C4.119(C4○D28) = C42.89D14φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.119(C4oD28)448,971
C4.120(C4○D28) = C42.99D14φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.120(C4oD28)448,987
C4.121(C4○D28) = C42.100D14φ: C4○D28/C2×C28C2 ⊆ Aut C4224C4.121(C4oD28)448,988
C4.122(C4○D28) = C8×Dic14central extension (φ=1)448C4.122(C4oD28)448,212
C4.123(C4○D28) = C5611Q8central extension (φ=1)448C4.123(C4oD28)448,213
C4.124(C4○D28) = C42.282D14central extension (φ=1)224C4.124(C4oD28)448,219
C4.125(C4○D28) = C8×D28central extension (φ=1)224C4.125(C4oD28)448,220
C4.126(C4○D28) = C86D28central extension (φ=1)224C4.126(C4oD28)448,222
C4.127(C4○D28) = C42.243D14central extension (φ=1)224C4.127(C4oD28)448,224
C4.128(C4○D28) = C56⋊Q8central extension (φ=1)448C4.128(C4oD28)448,235
C4.129(C4○D28) = C42.182D14central extension (φ=1)224C4.129(C4oD28)448,239
C4.130(C4○D28) = C89D28central extension (φ=1)224C4.130(C4oD28)448,240
C4.131(C4○D28) = C42.185D14central extension (φ=1)224C4.131(C4oD28)448,243
C4.132(C4○D28) = C42.6Dic7central extension (φ=1)224C4.132(C4oD28)448,459
C4.133(C4○D28) = C42.7Dic7central extension (φ=1)224C4.133(C4oD28)448,460
C4.134(C4○D28) = C42.187D14central extension (φ=1)224C4.134(C4oD28)448,534
C4.135(C4○D28) = C8×C7⋊D4central extension (φ=1)224C4.135(C4oD28)448,643
C4.136(C4○D28) = C5632D4central extension (φ=1)224C4.136(C4oD28)448,645
C4.137(C4○D28) = C56⋊D4central extension (φ=1)224C4.137(C4oD28)448,661
C4.138(C4○D28) = C5618D4central extension (φ=1)224C4.138(C4oD28)448,662
C4.139(C4○D28) = C42.93D14central extension (φ=1)224C4.139(C4oD28)448,981

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