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

Direct product G=N×Q with N=C14 and Q=C8.C22
dρLabelID
C14×C8.C22224C14xC8.C2^2448,1357

Semidirect products G=N:Q with N=C14 and Q=C8.C22
extensionφ:Q→Aut NdρLabelID
C14⋊1(C8.C22) = C2×C8.D14φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14:1(C8.C2^2)448,1200
C14⋊2(C8.C22) = C2×SD16⋊D7φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14:2(C8.C2^2)448,1213
C14⋊3(C8.C22) = C2×Q16⋊D7φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14:3(C8.C2^2)448,1217
C14⋊4(C8.C22) = C2×C28.C23φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14:4(C8.C2^2)448,1261
C14⋊5(C8.C22) = C2×D4.9D14φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14:5(C8.C2^2)448,1276

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) = C42.14D14φ: C8.C22/M4(2) → C2 ⊆ Aut C14448C14.2(C8.C2^2)448,237
C14.3(C8.C22) = C42.16D14φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14.3(C8.C2^2)448,244
C14.4(C8.C22) = C42.20D14φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14.4(C8.C2^2)448,248
C14.5(C8.C22) = C8.D28φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14.5(C8.C2^2)448,249
C14.6(C8.C22) = Dic28⋊C4φ: C8.C22/M4(2) → C2 ⊆ Aut C14448C14.6(C8.C2^2)448,250
C14.7(C8.C22) = C23.34D28φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14.7(C8.C2^2)448,255
C14.8(C8.C22) = C23.10D28φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14.8(C8.C2^2)448,257
C14.9(C8.C22) = D28.32D4φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14.9(C8.C2^2)448,267
C14.10(C8.C22) = C22.D56φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14.10(C8.C2^2)448,270
C14.11(C8.C22) = Dic14⋊14D4φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14.11(C8.C2^2)448,272
C14.12(C8.C22) = C22⋊Dic28φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14.12(C8.C2^2)448,273
C14.13(C8.C22) = Dic14.3Q8φ: C8.C22/M4(2) → C2 ⊆ Aut C14448C14.13(C8.C2^2)448,363
C14.14(C8.C22) = C28⋊SD16φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14.14(C8.C2^2)448,375
C14.15(C8.C22) = C42.36D14φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14.15(C8.C2^2)448,379
C14.16(C8.C22) = D28⋊4Q8φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14.16(C8.C2^2)448,380
C14.17(C8.C22) = C4⋊Dic28φ: C8.C22/M4(2) → C2 ⊆ Aut C14448C14.17(C8.C2^2)448,383
C14.18(C8.C22) = Dic14⋊4Q8φ: C8.C22/M4(2) → C2 ⊆ Aut C14448C14.18(C8.C2^2)448,385
C14.19(C8.C22) = C23.46D28φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14.19(C8.C2^2)448,654
C14.20(C8.C22) = C23.47D28φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14.20(C8.C2^2)448,655
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) = C56.4D4φ: C8.C22/M4(2) → C2 ⊆ Aut C14224C14.23(C8.C2^2)448,671
C14.24(C8.C22) = D4.D7⋊C4φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.24(C8.C2^2)448,291
C14.25(C8.C22) = Dic7.D8φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.25(C8.C2^2)448,293
C14.26(C8.C22) = C28⋊Q8⋊C2φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.26(C8.C2^2)448,299
C14.27(C8.C22) = Dic14.D4φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.27(C8.C2^2)448,301
C14.28(C8.C22) = D4⋊(C4×D7)φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.28(C8.C2^2)448,305
C14.29(C8.C22) = D14.D8φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.29(C8.C2^2)448,308
C14.30(C8.C22) = C7⋊C8⋊1D4φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.30(C8.C2^2)448,314
C14.31(C8.C22) = D4.D28φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.31(C8.C2^2)448,317
C14.32(C8.C22) = Dic7⋊Q16φ: C8.C22/SD16 → C2 ⊆ Aut C14448C14.32(C8.C2^2)448,327
C14.33(C8.C22) = Q8.Dic14φ: C8.C22/SD16 → C2 ⊆ Aut C14448C14.33(C8.C2^2)448,330
C14.34(C8.C22) = (Q8×D7)⋊C4φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.34(C8.C2^2)448,336
C14.35(C8.C22) = D14⋊4Q16φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.35(C8.C2^2)448,342
C14.36(C8.C22) = D14⋊C8.C2φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.36(C8.C2^2)448,348
C14.37(C8.C22) = Dic28⋊9C4φ: C8.C22/SD16 → C2 ⊆ Aut C14448C14.37(C8.C2^2)448,387
C14.38(C8.C22) = Dic14⋊Q8φ: C8.C22/SD16 → C2 ⊆ Aut C14448C14.38(C8.C2^2)448,388
C14.39(C8.C22) = C56⋊3Q8φ: C8.C22/SD16 → C2 ⊆ Aut C14448C14.39(C8.C2^2)448,390
C14.40(C8.C22) = Dic14.Q8φ: C8.C22/SD16 → C2 ⊆ Aut C14448C14.40(C8.C2^2)448,391
C14.41(C8.C22) = C8⋊(C4×D7)φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.41(C8.C2^2)448,395
C14.42(C8.C22) = D14.2SD16φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.42(C8.C2^2)448,396
C14.43(C8.C22) = C28.(C4○D4)φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.43(C8.C2^2)448,401
C14.44(C8.C22) = C8.2D28φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.44(C8.C2^2)448,402
C14.45(C8.C22) = Dic7⋊3SD16φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.45(C8.C2^2)448,696
C14.46(C8.C22) = SD16⋊Dic7φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.46(C8.C2^2)448,698
C14.47(C8.C22) = (C7×Q8).D4φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.47(C8.C2^2)448,700
C14.48(C8.C22) = C56.31D4φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.48(C8.C2^2)448,701
C14.49(C8.C22) = Dic14⋊7D4φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.49(C8.C2^2)448,704
C14.50(C8.C22) = Dic14.16D4φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.50(C8.C2^2)448,707
C14.51(C8.C22) = C56⋊8D4φ: C8.C22/SD16 → C2 ⊆ Aut C14224C14.51(C8.C2^2)448,708
C14.52(C8.C22) = C7⋊Q16⋊C4φ: C8.C22/Q16 → C2 ⊆ Aut C14448C14.52(C8.C2^2)448,323
C14.53(C8.C22) = Q8⋊Dic14φ: C8.C22/Q16 → C2 ⊆ Aut C14448C14.53(C8.C2^2)448,325
C14.54(C8.C22) = Q8⋊C4⋊D7φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.54(C8.C2^2)448,329
C14.55(C8.C22) = C56⋊C4.C2φ: C8.C22/Q16 → C2 ⊆ Aut C14448C14.55(C8.C2^2)448,331
C14.56(C8.C22) = Dic14.11D4φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.56(C8.C2^2)448,332
C14.57(C8.C22) = Q8.2Dic14φ: C8.C22/Q16 → C2 ⊆ Aut C14448C14.57(C8.C2^2)448,333
C14.58(C8.C22) = Q8⋊(C4×D7)φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.58(C8.C2^2)448,337
C14.59(C8.C22) = D14.1SD16φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.59(C8.C2^2)448,339
C14.60(C8.C22) = Q8⋊2D28φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.60(C8.C2^2)448,340
C14.61(C8.C22) = Q8.D28φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.61(C8.C2^2)448,344
C14.62(C8.C22) = C7⋊(C8⋊D4)φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.62(C8.C2^2)448,346
C14.63(C8.C22) = (C2×C8).D14φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.63(C8.C2^2)448,349
C14.64(C8.C22) = C7⋊C8.D4φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.64(C8.C2^2)448,350
C14.65(C8.C22) = Q8⋊D7⋊C4φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.65(C8.C2^2)448,351
C14.66(C8.C22) = Dic7⋊SD16φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.66(C8.C2^2)448,352
C14.67(C8.C22) = C56⋊4Q8φ: C8.C22/Q16 → C2 ⊆ Aut C14448C14.67(C8.C2^2)448,410
C14.68(C8.C22) = Dic14.2Q8φ: C8.C22/Q16 → C2 ⊆ Aut C14448C14.68(C8.C2^2)448,411
C14.69(C8.C22) = C56⋊(C2×C4)φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.69(C8.C2^2)448,415
C14.70(C8.C22) = D14.5D8φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.70(C8.C2^2)448,416
C14.71(C8.C22) = C8⋊3D28φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.71(C8.C2^2)448,420
C14.72(C8.C22) = C2.D8⋊7D7φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.72(C8.C2^2)448,422
C14.73(C8.C22) = C56⋊C2⋊C4φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.73(C8.C2^2)448,423
C14.74(C8.C22) = D28⋊2Q8φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.74(C8.C2^2)448,424
C14.75(C8.C22) = Dic7⋊3Q16φ: C8.C22/Q16 → C2 ⊆ Aut C14448C14.75(C8.C2^2)448,716
C14.76(C8.C22) = Q16⋊Dic7φ: C8.C22/Q16 → C2 ⊆ Aut C14448C14.76(C8.C2^2)448,718
C14.77(C8.C22) = (C2×Q16)⋊D7φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.77(C8.C2^2)448,719
C14.78(C8.C22) = D14⋊5Q16φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.78(C8.C2^2)448,720
C14.79(C8.C22) = D28.17D4φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.79(C8.C2^2)448,721
C14.80(C8.C22) = C56.36D4φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.80(C8.C2^2)448,723
C14.81(C8.C22) = C56.37D4φ: C8.C22/Q16 → C2 ⊆ Aut C14224C14.81(C8.C2^2)448,724
C14.82(C8.C22) = C4.Dic7⋊C4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.82(C8.C2^2)448,498
C14.83(C8.C22) = C4○D28⋊C4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.83(C8.C2^2)448,500
C14.84(C8.C22) = (C2×C14).40D8φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.84(C8.C2^2)448,501
C14.85(C8.C22) = C4⋊C4.231D14φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.85(C8.C2^2)448,505
C14.86(C8.C22) = Q8.3Dic14φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14448C14.86(C8.C2^2)448,556
C14.87(C8.C22) = C42.56D14φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.87(C8.C2^2)448,560
C14.88(C8.C22) = Q8.1D28φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.88(C8.C2^2)448,562
C14.89(C8.C22) = C14.(C4○D8)φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.89(C8.C2^2)448,579
C14.90(C8.C22) = D28.37D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.90(C8.C2^2)448,581
C14.91(C8.C22) = C7⋊C8⋊6D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.91(C8.C2^2)448,583
C14.92(C8.C22) = C7⋊C8.6D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.92(C8.C2^2)448,586
C14.93(C8.C22) = C42.76D14φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14448C14.93(C8.C2^2)448,614
C14.94(C8.C22) = C42.77D14φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14448C14.94(C8.C2^2)448,616
C14.95(C8.C22) = C28⋊5SD16φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.95(C8.C2^2)448,617
C14.96(C8.C22) = C42.80D14φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.96(C8.C2^2)448,620
C14.97(C8.C22) = D28⋊6Q8φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.97(C8.C2^2)448,621
C14.98(C8.C22) = C42.82D14φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.98(C8.C2^2)448,623
C14.99(C8.C22) = C28⋊Q16φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14448C14.99(C8.C2^2)448,624
C14.100(C8.C22) = Dic14⋊6Q8φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14448C14.100(C8.C2^2)448,628
C14.101(C8.C22) = (Q8×C14)⋊6C4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.101(C8.C2^2)448,759
C14.102(C8.C22) = (C7×Q8)⋊13D4φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.102(C8.C2^2)448,761
C14.103(C8.C22) = (C2×C14)⋊8Q16φ: C8.C22/C2×Q8 → C2 ⊆ Aut C14224C14.103(C8.C2^2)448,762
C14.104(C8.C22) = C28.(C2×Q8)φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.104(C8.C2^2)448,529
C14.105(C8.C22) = C4⋊C4.233D14φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.105(C8.C2^2)448,530
C14.106(C8.C22) = (C2×C4).47D28φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.106(C8.C2^2)448,538
C14.107(C8.C22) = C28.50D8φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.107(C8.C2^2)448,541
C14.108(C8.C22) = C42.51D14φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.108(C8.C2^2)448,552
C14.109(C8.C22) = D4.2D28φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.109(C8.C2^2)448,553
C14.110(C8.C22) = C28.48SD16φ: C8.C22/C4○D4 → C2 ⊆ Aut C14448C14.110(C8.C2^2)448,554
C14.111(C8.C22) = C42.59D14φ: C8.C22/C4○D4 → C2 ⊆ Aut C14448C14.111(C8.C2^2)448,564
C14.112(C8.C22) = C28⋊7Q16φ: C8.C22/C4○D4 → C2 ⊆ Aut C14448C14.112(C8.C2^2)448,565
C14.113(C8.C22) = (C2×C14).D8φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.113(C8.C2^2)448,567
C14.114(C8.C22) = Dic14⋊17D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.114(C8.C2^2)448,574
C14.115(C8.C22) = C7⋊C8⋊5D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.115(C8.C2^2)448,576
C14.116(C8.C22) = C22⋊Q8.D7φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.116(C8.C2^2)448,577
C14.117(C8.C22) = Dic14.37D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.117(C8.C2^2)448,584
C14.118(C8.C22) = C42.61D14φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.118(C8.C2^2)448,588
C14.119(C8.C22) = C42.62D14φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.119(C8.C2^2)448,589
C14.120(C8.C22) = C42.65D14φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.120(C8.C2^2)448,594
C14.121(C8.C22) = Dic14.4Q8φ: C8.C22/C4○D4 → C2 ⊆ Aut C14448C14.121(C8.C2^2)448,597
C14.122(C8.C22) = C42.68D14φ: C8.C22/C4○D4 → C2 ⊆ Aut C14448C14.122(C8.C2^2)448,599
C14.123(C8.C22) = C42.71D14φ: C8.C22/C4○D4 → C2 ⊆ Aut C14448C14.123(C8.C2^2)448,603
C14.124(C8.C22) = C4○D4⋊Dic7φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.124(C8.C2^2)448,766
C14.125(C8.C22) = (C7×D4).32D4φ: C8.C22/C4○D4 → C2 ⊆ Aut C14224C14.125(C8.C2^2)448,773
C14.126(C8.C22) = C7×C23.36D4central extension (φ=1)224C14.126(C8.C2^2)448,825
C14.127(C8.C22) = C7×C23.38D4central extension (φ=1)224C14.127(C8.C2^2)448,827
C14.128(C8.C22) = C7×M4(2)⋊C4central extension (φ=1)224C14.128(C8.C2^2)448,836
C14.129(C8.C22) = C7×SD16⋊C4central extension (φ=1)224C14.129(C8.C2^2)448,848
C14.130(C8.C22) = C7×Q16⋊C4central extension (φ=1)448C14.130(C8.C2^2)448,849
C14.131(C8.C22) = C7×Q8⋊D4central extension (φ=1)224C14.131(C8.C2^2)448,856
C14.132(C8.C22) = C7×C22⋊Q16central extension (φ=1)224C14.132(C8.C2^2)448,859
C14.133(C8.C22) = C7×D4.7D4central extension (φ=1)224C14.133(C8.C2^2)448,860
C14.134(C8.C22) = C7×D4.D4central extension (φ=1)224C14.134(C8.C2^2)448,869
C14.135(C8.C22) = C7×C4⋊2Q16central extension (φ=1)448C14.135(C8.C2^2)448,870
C14.136(C8.C22) = C7×Q8.D4central extension (φ=1)224C14.136(C8.C2^2)448,872
C14.137(C8.C22) = C7×C8⋊D4central extension (φ=1)224C14.137(C8.C2^2)448,876
C14.138(C8.C22) = C7×C8.D4central extension (φ=1)224C14.138(C8.C2^2)448,878
C14.139(C8.C22) = C7×D4⋊Q8central extension (φ=1)224C14.139(C8.C2^2)448,882
C14.140(C8.C22) = C7×Q8⋊Q8central extension (φ=1)448C14.140(C8.C2^2)448,883
C14.141(C8.C22) = C7×Q8.Q8central extension (φ=1)448C14.141(C8.C2^2)448,887
C14.142(C8.C22) = C7×C22.D8central extension (φ=1)224C14.142(C8.C2^2)448,888
C14.143(C8.C22) = C7×C23.47D4central extension (φ=1)224C14.143(C8.C2^2)448,891
C14.144(C8.C22) = C7×C23.20D4central extension (φ=1)224C14.144(C8.C2^2)448,893
C14.145(C8.C22) = C7×C42.28C22central extension (φ=1)224C14.145(C8.C2^2)448,897
C14.146(C8.C22) = C7×C42.30C22central extension (φ=1)448C14.146(C8.C2^2)448,899
C14.147(C8.C22) = C7×C8.2D4central extension (φ=1)224C14.147(C8.C2^2)448,905
C14.148(C8.C22) = C7×C8⋊Q8central extension (φ=1)448C14.148(C8.C2^2)448,909

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