Extensions 1→N→G→Q→1 with N=C14 and Q=C8:C22

Direct product G=NxQ with N=C14 and Q=C8:C22
dρLabelID
C14xC8:C22112C14xC8:C2^2448,1356

Semidirect products G=N:Q with N=C14 and Q=C8:C22
extensionφ:Q→Aut NdρLabelID
C14:1(C8:C22) = C2xC8:D14φ: C8:C22/M4(2)C2 ⊆ Aut C14112C14:1(C8:C2^2)448,1199
C14:2(C8:C22) = C2xD8:D7φ: C8:C22/D8C2 ⊆ Aut C14112C14:2(C8:C2^2)448,1208
C14:3(C8:C22) = C2xD56:C2φ: C8:C22/SD16C2 ⊆ Aut C14112C14:3(C8:C2^2)448,1212
C14:4(C8:C22) = C2xD4.D14φ: C8:C22/C2xD4C2 ⊆ Aut C14112C14:4(C8:C2^2)448,1246
C14:5(C8:C22) = C2xD4:D14φ: C8:C22/C4oD4C2 ⊆ Aut C14112C14:5(C8:C2^2)448,1273

Non-split extensions G=N.Q with N=C14 and Q=C8:C22
extensionφ:Q→Aut NdρLabelID
C14.1(C8:C22) = C8:Dic14φ: C8:C22/M4(2)C2 ⊆ Aut C14448C14.1(C8:C2^2)448,236
C14.2(C8:C22) = C42.16D14φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.2(C8:C2^2)448,244
C14.3(C8:C22) = D56:C4φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.3(C8:C2^2)448,245
C14.4(C8:C22) = C8:D28φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.4(C8:C2^2)448,246
C14.5(C8:C22) = C42.19D14φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.5(C8:C2^2)448,247
C14.6(C8:C22) = C42.20D14φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.6(C8:C2^2)448,248
C14.7(C8:C22) = C23.35D28φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.7(C8:C2^2)448,256
C14.8(C8:C22) = D28.31D4φ: C8:C22/M4(2)C2 ⊆ Aut C14112C14.8(C8:C2^2)448,265
C14.9(C8:C22) = D28:13D4φ: C8:C22/M4(2)C2 ⊆ Aut C14112C14.9(C8:C2^2)448,266
C14.10(C8:C22) = D28:14D4φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.10(C8:C2^2)448,268
C14.11(C8:C22) = C23.38D28φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.11(C8:C2^2)448,269
C14.12(C8:C22) = C23.13D28φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.12(C8:C2^2)448,271
C14.13(C8:C22) = D28:3Q8φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.13(C8:C2^2)448,376
C14.14(C8:C22) = C4:D56φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.14(C8:C2^2)448,377
C14.15(C8:C22) = D28.19D4φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.15(C8:C2^2)448,378
C14.16(C8:C22) = D28.3Q8φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.16(C8:C2^2)448,381
C14.17(C8:C22) = Dic14:8D4φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.17(C8:C2^2)448,382
C14.18(C8:C22) = C28.7Q16φ: C8:C22/M4(2)C2 ⊆ Aut C14448C14.18(C8:C2^2)448,384
C14.19(C8:C22) = C23.47D28φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.19(C8:C2^2)448,655
C14.20(C8:C22) = C23.48D28φ: C8:C22/M4(2)C2 ⊆ Aut C14112C14.20(C8:C2^2)448,665
C14.21(C8:C22) = C23.49D28φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.21(C8:C2^2)448,667
C14.22(C8:C22) = C56:2D4φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.22(C8:C2^2)448,668
C14.23(C8:C22) = C56:3D4φ: C8:C22/M4(2)C2 ⊆ Aut C14224C14.23(C8:C2^2)448,669
C14.24(C8:C22) = D4.D7:C4φ: C8:C22/D8C2 ⊆ Aut C14224C14.24(C8:C2^2)448,291
C14.25(C8:C22) = D4:Dic14φ: C8:C22/D8C2 ⊆ Aut C14224C14.25(C8:C2^2)448,295
C14.26(C8:C22) = Dic14:2D4φ: C8:C22/D8C2 ⊆ Aut C14224C14.26(C8:C2^2)448,296
C14.27(C8:C22) = D4.Dic14φ: C8:C22/D8C2 ⊆ Aut C14224C14.27(C8:C2^2)448,297
C14.28(C8:C22) = C28:Q8:C2φ: C8:C22/D8C2 ⊆ Aut C14224C14.28(C8:C2^2)448,299
C14.29(C8:C22) = (D4xD7):C4φ: C8:C22/D8C2 ⊆ Aut C14112C14.29(C8:C2^2)448,304
C14.30(C8:C22) = D4:(C4xD7)φ: C8:C22/D8C2 ⊆ Aut C14224C14.30(C8:C2^2)448,305
C14.31(C8:C22) = D4.6D28φ: C8:C22/D8C2 ⊆ Aut C14112C14.31(C8:C2^2)448,310
C14.32(C8:C22) = D14.SD16φ: C8:C22/D8C2 ⊆ Aut C14224C14.32(C8:C2^2)448,311
C14.33(C8:C22) = C8:Dic7:C2φ: C8:C22/D8C2 ⊆ Aut C14224C14.33(C8:C2^2)448,313
C14.34(C8:C22) = C7:C8:1D4φ: C8:C22/D8C2 ⊆ Aut C14224C14.34(C8:C2^2)448,314
C14.35(C8:C22) = D4:3D28φ: C8:C22/D8C2 ⊆ Aut C14224C14.35(C8:C2^2)448,315
C14.36(C8:C22) = C7:C8:D4φ: C8:C22/D8C2 ⊆ Aut C14224C14.36(C8:C2^2)448,316
C14.37(C8:C22) = D28.D4φ: C8:C22/D8C2 ⊆ Aut C14224C14.37(C8:C2^2)448,321
C14.38(C8:C22) = Dic14:2Q8φ: C8:C22/D8C2 ⊆ Aut C14448C14.38(C8:C2^2)448,409
C14.39(C8:C22) = C56:4Q8φ: C8:C22/D8C2 ⊆ Aut C14448C14.39(C8:C2^2)448,410
C14.40(C8:C22) = C56:(C2xC4)φ: C8:C22/D8C2 ⊆ Aut C14224C14.40(C8:C2^2)448,415
C14.41(C8:C22) = D14.2Q16φ: C8:C22/D8C2 ⊆ Aut C14224C14.41(C8:C2^2)448,418
C14.42(C8:C22) = C2.D8:D7φ: C8:C22/D8C2 ⊆ Aut C14224C14.42(C8:C2^2)448,419
C14.43(C8:C22) = C8:3D28φ: C8:C22/D8C2 ⊆ Aut C14224C14.43(C8:C2^2)448,420
C14.44(C8:C22) = C56:C2:C4φ: C8:C22/D8C2 ⊆ Aut C14224C14.44(C8:C2^2)448,423
C14.45(C8:C22) = D28.2Q8φ: C8:C22/D8C2 ⊆ Aut C14224C14.45(C8:C2^2)448,425
C14.46(C8:C22) = Dic7:D8φ: C8:C22/D8C2 ⊆ Aut C14224C14.46(C8:C2^2)448,684
C14.47(C8:C22) = D8:Dic7φ: C8:C22/D8C2 ⊆ Aut C14224C14.47(C8:C2^2)448,686
C14.48(C8:C22) = (C2xD8).D7φ: C8:C22/D8C2 ⊆ Aut C14224C14.48(C8:C2^2)448,687
C14.49(C8:C22) = C56:11D4φ: C8:C22/D8C2 ⊆ Aut C14224C14.49(C8:C2^2)448,688
C14.50(C8:C22) = D28:D4φ: C8:C22/D8C2 ⊆ Aut C14112C14.50(C8:C2^2)448,690
C14.51(C8:C22) = Dic14:D4φ: C8:C22/D8C2 ⊆ Aut C14224C14.51(C8:C2^2)448,692
C14.52(C8:C22) = C56:12D4φ: C8:C22/D8C2 ⊆ Aut C14224C14.52(C8:C2^2)448,693
C14.53(C8:C22) = C4:C4.D14φ: C8:C22/SD16C2 ⊆ Aut C14224C14.53(C8:C2^2)448,298
C14.54(C8:C22) = D4.2Dic14φ: C8:C22/SD16C2 ⊆ Aut C14224C14.54(C8:C2^2)448,300
C14.55(C8:C22) = D4:D28φ: C8:C22/SD16C2 ⊆ Aut C14112C14.55(C8:C2^2)448,307
C14.56(C8:C22) = C56:1C4:C2φ: C8:C22/SD16C2 ⊆ Aut C14224C14.56(C8:C2^2)448,318
C14.57(C8:C22) = D4:D7:C4φ: C8:C22/SD16C2 ⊆ Aut C14224C14.57(C8:C2^2)448,319
C14.58(C8:C22) = D28:3D4φ: C8:C22/SD16C2 ⊆ Aut C14224C14.58(C8:C2^2)448,320
C14.59(C8:C22) = Dic7.Q16φ: C8:C22/SD16C2 ⊆ Aut C14448C14.59(C8:C2^2)448,328
C14.60(C8:C22) = Q8:C4:D7φ: C8:C22/SD16C2 ⊆ Aut C14224C14.60(C8:C2^2)448,329
C14.61(C8:C22) = Q8:(C4xD7)φ: C8:C22/SD16C2 ⊆ Aut C14224C14.61(C8:C2^2)448,337
C14.62(C8:C22) = D14.Q16φ: C8:C22/SD16C2 ⊆ Aut C14224C14.62(C8:C2^2)448,343
C14.63(C8:C22) = D28:4D4φ: C8:C22/SD16C2 ⊆ Aut C14224C14.63(C8:C2^2)448,345
C14.64(C8:C22) = C7:(C8:D4)φ: C8:C22/SD16C2 ⊆ Aut C14224C14.64(C8:C2^2)448,346
C14.65(C8:C22) = Q8:D7:C4φ: C8:C22/SD16C2 ⊆ Aut C14224C14.65(C8:C2^2)448,351
C14.66(C8:C22) = D28.12D4φ: C8:C22/SD16C2 ⊆ Aut C14224C14.66(C8:C2^2)448,353
C14.67(C8:C22) = C56:3Q8φ: C8:C22/SD16C2 ⊆ Aut C14448C14.67(C8:C2^2)448,390
C14.68(C8:C22) = C8:(C4xD7)φ: C8:C22/SD16C2 ⊆ Aut C14224C14.68(C8:C2^2)448,395
C14.69(C8:C22) = D14.4SD16φ: C8:C22/SD16C2 ⊆ Aut C14224C14.69(C8:C2^2)448,397
C14.70(C8:C22) = C56:7D4φ: C8:C22/SD16C2 ⊆ Aut C14224C14.70(C8:C2^2)448,399
C14.71(C8:C22) = C4.Q8:D7φ: C8:C22/SD16C2 ⊆ Aut C14224C14.71(C8:C2^2)448,400
C14.72(C8:C22) = D56:9C4φ: C8:C22/SD16C2 ⊆ Aut C14224C14.72(C8:C2^2)448,403
C14.73(C8:C22) = D28:Q8φ: C8:C22/SD16C2 ⊆ Aut C14224C14.73(C8:C2^2)448,404
C14.74(C8:C22) = D28.Q8φ: C8:C22/SD16C2 ⊆ Aut C14224C14.74(C8:C2^2)448,405
C14.75(C8:C22) = Dic7:5SD16φ: C8:C22/SD16C2 ⊆ Aut C14224C14.75(C8:C2^2)448,697
C14.76(C8:C22) = SD16:Dic7φ: C8:C22/SD16C2 ⊆ Aut C14224C14.76(C8:C2^2)448,698
C14.77(C8:C22) = (C7xD4).D4φ: C8:C22/SD16C2 ⊆ Aut C14224C14.77(C8:C2^2)448,699
C14.78(C8:C22) = D14:6SD16φ: C8:C22/SD16C2 ⊆ Aut C14112C14.78(C8:C2^2)448,703
C14.79(C8:C22) = D28:7D4φ: C8:C22/SD16C2 ⊆ Aut C14224C14.79(C8:C2^2)448,706
C14.80(C8:C22) = C56:8D4φ: C8:C22/SD16C2 ⊆ Aut C14224C14.80(C8:C2^2)448,708
C14.81(C8:C22) = C56:9D4φ: C8:C22/SD16C2 ⊆ Aut C14224C14.81(C8:C2^2)448,710
C14.82(C8:C22) = C4.Dic7:C4φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.82(C8:C2^2)448,498
C14.83(C8:C22) = C4oD28:C4φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.83(C8:C2^2)448,500
C14.84(C8:C22) = C4:C4.228D14φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.84(C8:C2^2)448,502
C14.85(C8:C22) = C4:C4.230D14φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.85(C8:C2^2)448,504
C14.86(C8:C22) = D4.3Dic14φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.86(C8:C2^2)448,543
C14.87(C8:C22) = D4.1D28φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.87(C8:C2^2)448,550
C14.88(C8:C22) = C42.51D14φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.88(C8:C2^2)448,552
C14.89(C8:C22) = (C2xD4).D14φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.89(C8:C2^2)448,569
C14.90(C8:C22) = D28:17D4φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.90(C8:C2^2)448,571
C14.91(C8:C22) = C4:D4:D7φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.91(C8:C2^2)448,573
C14.92(C8:C22) = C7:C8:5D4φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.92(C8:C2^2)448,576
C14.93(C8:C22) = C42.72D14φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.93(C8:C2^2)448,605
C14.94(C8:C22) = C28:2D8φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.94(C8:C2^2)448,606
C14.95(C8:C22) = C42.74D14φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.95(C8:C2^2)448,608
C14.96(C8:C22) = Dic14:9D4φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.96(C8:C2^2)448,609
C14.97(C8:C22) = C42.76D14φ: C8:C22/C2xD4C2 ⊆ Aut C14448C14.97(C8:C2^2)448,614
C14.98(C8:C22) = D28:5Q8φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.98(C8:C2^2)448,618
C14.99(C8:C22) = C42.82D14φ: C8:C22/C2xD4C2 ⊆ Aut C14224C14.99(C8:C2^2)448,623
C14.100(C8:C22) = Dic14:5Q8φ: C8:C22/C2xD4C2 ⊆ Aut C14448C14.100(C8:C2^2)448,625
C14.101(C8:C22) = (D4xC14):6C4φ: C8:C22/C2xD4C2 ⊆ Aut C14112C14.101(C8:C2^2)448,749
C14.102(C8:C22) = (C2xC14):8D8φ: C8:C22/C2xD4C2 ⊆ Aut C14112C14.102(C8:C2^2)448,751
C14.103(C8:C22) = (C7xD4).31D4φ: C8:C22/C2xD4C2 ⊆ Aut C14112C14.103(C8:C2^2)448,752
C14.104(C8:C22) = C28.(C2xQ8)φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.104(C8:C2^2)448,529
C14.105(C8:C22) = C4:C4:36D14φ: C8:C22/C4oD4C2 ⊆ Aut C14112C14.105(C8:C2^2)448,535
C14.106(C8:C22) = C4:C4.236D14φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.106(C8:C2^2)448,537
C14.107(C8:C22) = C28.38SD16φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.107(C8:C2^2)448,542
C14.108(C8:C22) = C42.48D14φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.108(C8:C2^2)448,548
C14.109(C8:C22) = C28:7D8φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.109(C8:C2^2)448,549
C14.110(C8:C22) = C28.23Q16φ: C8:C22/C4oD4C2 ⊆ Aut C14448C14.110(C8:C2^2)448,555
C14.111(C8:C22) = C42.56D14φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.111(C8:C2^2)448,560
C14.112(C8:C22) = Q8:D28φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.112(C8:C2^2)448,561
C14.113(C8:C22) = C4:D4.D7φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.113(C8:C2^2)448,568
C14.114(C8:C22) = D28:16D4φ: C8:C22/C4oD4C2 ⊆ Aut C14112C14.114(C8:C2^2)448,570
C14.115(C8:C22) = (C2xC14).Q16φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.115(C8:C2^2)448,578
C14.116(C8:C22) = D28.36D4φ: C8:C22/C4oD4C2 ⊆ Aut C14112C14.116(C8:C2^2)448,580
C14.117(C8:C22) = C7:C8:6D4φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.117(C8:C2^2)448,583
C14.118(C8:C22) = C42.62D14φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.118(C8:C2^2)448,589
C14.119(C8:C22) = D28.23D4φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.119(C8:C2^2)448,591
C14.120(C8:C22) = C42.64D14φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.120(C8:C2^2)448,592
C14.121(C8:C22) = C42.68D14φ: C8:C22/C4oD4C2 ⊆ Aut C14448C14.121(C8:C2^2)448,599
C14.122(C8:C22) = D28.4Q8φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.122(C8:C2^2)448,600
C14.123(C8:C22) = C42.70D14φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.123(C8:C2^2)448,601
C14.124(C8:C22) = C4oD4:Dic7φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.124(C8:C2^2)448,766
C14.125(C8:C22) = (C7xD4):14D4φ: C8:C22/C4oD4C2 ⊆ Aut C14224C14.125(C8:C2^2)448,772
C14.126(C8:C22) = C7xC23.36D4central extension (φ=1)224C14.126(C8:C2^2)448,825
C14.127(C8:C22) = C7xC23.37D4central extension (φ=1)112C14.127(C8:C2^2)448,826
C14.128(C8:C22) = C7xM4(2):C4central extension (φ=1)224C14.128(C8:C2^2)448,836
C14.129(C8:C22) = C7xSD16:C4central extension (φ=1)224C14.129(C8:C2^2)448,848
C14.130(C8:C22) = C7xD8:C4central extension (φ=1)224C14.130(C8:C2^2)448,850
C14.131(C8:C22) = C7xC22:D8central extension (φ=1)112C14.131(C8:C2^2)448,855
C14.132(C8:C22) = C7xD4:D4central extension (φ=1)224C14.132(C8:C2^2)448,857
C14.133(C8:C22) = C7xC22:SD16central extension (φ=1)112C14.133(C8:C2^2)448,858
C14.134(C8:C22) = C7xC4:D8central extension (φ=1)224C14.134(C8:C2^2)448,867
C14.135(C8:C22) = C7xC4:SD16central extension (φ=1)224C14.135(C8:C2^2)448,868
C14.136(C8:C22) = C7xD4.2D4central extension (φ=1)224C14.136(C8:C2^2)448,871
C14.137(C8:C22) = C7xC8:D4central extension (φ=1)224C14.137(C8:C2^2)448,876
C14.138(C8:C22) = C7xC8:2D4central extension (φ=1)224C14.138(C8:C2^2)448,877
C14.139(C8:C22) = C7xD4:2Q8central extension (φ=1)224C14.139(C8:C2^2)448,884
C14.140(C8:C22) = C7xC4.Q16central extension (φ=1)448C14.140(C8:C2^2)448,885
C14.141(C8:C22) = C7xD4.Q8central extension (φ=1)224C14.141(C8:C2^2)448,886
C14.142(C8:C22) = C7xC23.46D4central extension (φ=1)224C14.142(C8:C2^2)448,889
C14.143(C8:C22) = C7xC23.19D4central extension (φ=1)224C14.143(C8:C2^2)448,890
C14.144(C8:C22) = C7xC23.48D4central extension (φ=1)224C14.144(C8:C2^2)448,892
C14.145(C8:C22) = C7xC42.28C22central extension (φ=1)224C14.145(C8:C2^2)448,897
C14.146(C8:C22) = C7xC42.29C22central extension (φ=1)224C14.146(C8:C2^2)448,898
C14.147(C8:C22) = C7xC8:3D4central extension (φ=1)224C14.147(C8:C2^2)448,904
C14.148(C8:C22) = C7xC8:Q8central extension (φ=1)448C14.148(C8:C2^2)448,909

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