Extensions 1→N→G→Q→1 with N=C14 and Q=C4○D8

Direct product G=N×Q with N=C14 and Q=C4○D8
dρLabelID
C14×C4○D8224C14xC4oD8448,1355

Semidirect products G=N:Q with N=C14 and Q=C4○D8
extensionφ:Q→Aut NdρLabelID
C141(C4○D8) = C2×D567C2φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14:1(C4oD8)448,1194
C142(C4○D8) = C2×D83D7φ: C4○D8/D8C2 ⊆ Aut C14224C14:2(C4oD8)448,1209
C143(C4○D8) = C2×SD163D7φ: C4○D8/SD16C2 ⊆ Aut C14224C14:3(C4oD8)448,1214
C144(C4○D8) = C2×Q8.D14φ: C4○D8/Q16C2 ⊆ Aut C14224C14:4(C4oD8)448,1218
C145(C4○D8) = C2×D4.8D14φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14:5(C4oD8)448,1274

Non-split extensions G=N.Q with N=C14 and Q=C4○D8
extensionφ:Q→Aut NdρLabelID
C14.1(C4○D8) = C56.13Q8φ: C4○D8/C2×C8C2 ⊆ Aut C14448C14.1(C4oD8)448,217
C14.2(C4○D8) = C4×C56⋊C2φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.2(C4oD8)448,225
C14.3(C4○D8) = C4×D56φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.3(C4oD8)448,226
C14.4(C4○D8) = C8.8D28φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.4(C4oD8)448,230
C14.5(C4○D8) = C42.264D14φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.5(C4oD8)448,231
C14.6(C4○D8) = C4×Dic28φ: C4○D8/C2×C8C2 ⊆ Aut C14448C14.6(C4oD8)448,232
C14.7(C4○D8) = C23.10D28φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.7(C4oD8)448,257
C14.8(C4○D8) = D28.32D4φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.8(C4oD8)448,267
C14.9(C4○D8) = D2814D4φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.9(C4oD8)448,268
C14.10(C4○D8) = C23.13D28φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.10(C4oD8)448,271
C14.11(C4○D8) = Dic14.3Q8φ: C4○D8/C2×C8C2 ⊆ Aut C14448C14.11(C4oD8)448,363
C14.12(C4○D8) = D28.19D4φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.12(C4oD8)448,378
C14.13(C4○D8) = C42.36D14φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.13(C4oD8)448,379
C14.14(C4○D8) = D28.3Q8φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.14(C4oD8)448,381
C14.15(C4○D8) = C23.22D28φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.15(C4oD8)448,640
C14.16(C4○D8) = C23.23D28φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.16(C4oD8)448,647
C14.17(C4○D8) = C5630D4φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.17(C4oD8)448,648
C14.18(C4○D8) = C5629D4φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.18(C4oD8)448,649
C14.19(C4○D8) = C56.82D4φ: C4○D8/C2×C8C2 ⊆ Aut C14224C14.19(C4oD8)448,650
C14.20(C4○D8) = Dic76SD16φ: C4○D8/D8C2 ⊆ Aut C14224C14.20(C4oD8)448,292
C14.21(C4○D8) = D4.2Dic14φ: C4○D8/D8C2 ⊆ Aut C14224C14.21(C4oD8)448,300
C14.22(C4○D8) = Dic14.D4φ: C4○D8/D8C2 ⊆ Aut C14224C14.22(C4oD8)448,301
C14.23(C4○D8) = D14⋊SD16φ: C4○D8/D8C2 ⊆ Aut C14224C14.23(C4oD8)448,312
C14.24(C4○D8) = D4.D28φ: C4○D8/D8C2 ⊆ Aut C14224C14.24(C4oD8)448,317
C14.25(C4○D8) = C561C4⋊C2φ: C4○D8/D8C2 ⊆ Aut C14224C14.25(C4oD8)448,318
C14.26(C4○D8) = Dic286C4φ: C4○D8/D8C2 ⊆ Aut C14448C14.26(C4oD8)448,407
C14.27(C4○D8) = Dic14.2Q8φ: C4○D8/D8C2 ⊆ Aut C14448C14.27(C4oD8)448,411
C14.28(C4○D8) = C8.27(C4×D7)φ: C4○D8/D8C2 ⊆ Aut C14224C14.28(C4oD8)448,414
C14.29(C4○D8) = D142Q16φ: C4○D8/D8C2 ⊆ Aut C14224C14.29(C4oD8)448,421
C14.30(C4○D8) = C2.D87D7φ: C4○D8/D8C2 ⊆ Aut C14224C14.30(C4oD8)448,422
C14.31(C4○D8) = D8×Dic7φ: C4○D8/D8C2 ⊆ Aut C14224C14.31(C4oD8)448,683
C14.32(C4○D8) = (C2×D8).D7φ: C4○D8/D8C2 ⊆ Aut C14224C14.32(C4oD8)448,687
C14.33(C4○D8) = C56.22D4φ: C4○D8/D8C2 ⊆ Aut C14224C14.33(C4oD8)448,689
C14.34(C4○D8) = C566D4φ: C4○D8/D8C2 ⊆ Aut C14224C14.34(C4oD8)448,691
C14.35(C4○D8) = Dic14⋊D4φ: C4○D8/D8C2 ⊆ Aut C14224C14.35(C4oD8)448,692
C14.36(C4○D8) = Dic74D8φ: C4○D8/SD16C2 ⊆ Aut C14224C14.36(C4oD8)448,290
C14.37(C4○D8) = D4.Dic14φ: C4○D8/SD16C2 ⊆ Aut C14224C14.37(C4oD8)448,297
C14.38(C4○D8) = (C8×Dic7)⋊C2φ: C4○D8/SD16C2 ⊆ Aut C14224C14.38(C4oD8)448,302
C14.39(C4○D8) = D42D7⋊C4φ: C4○D8/SD16C2 ⊆ Aut C14224C14.39(C4oD8)448,306
C14.40(C4○D8) = D14⋊D8φ: C4○D8/SD16C2 ⊆ Aut C14224C14.40(C4oD8)448,309
C14.41(C4○D8) = C8⋊Dic7⋊C2φ: C4○D8/SD16C2 ⊆ Aut C14224C14.41(C4oD8)448,313
C14.42(C4○D8) = D43D28φ: C4○D8/SD16C2 ⊆ Aut C14224C14.42(C4oD8)448,315
C14.43(C4○D8) = D28.D4φ: C4○D8/SD16C2 ⊆ Aut C14224C14.43(C4oD8)448,321
C14.44(C4○D8) = Dic74Q16φ: C4○D8/SD16C2 ⊆ Aut C14448C14.44(C4oD8)448,324
C14.45(C4○D8) = Dic14.11D4φ: C4○D8/SD16C2 ⊆ Aut C14224C14.45(C4oD8)448,332
C14.46(C4○D8) = Q8.2Dic14φ: C4○D8/SD16C2 ⊆ Aut C14448C14.46(C4oD8)448,333
C14.47(C4○D8) = Q82D7⋊C4φ: C4○D8/SD16C2 ⊆ Aut C14224C14.47(C4oD8)448,338
C14.48(C4○D8) = Q8.D28φ: C4○D8/SD16C2 ⊆ Aut C14224C14.48(C4oD8)448,344
C14.49(C4○D8) = D14⋊Q16φ: C4○D8/SD16C2 ⊆ Aut C14224C14.49(C4oD8)448,347
C14.50(C4○D8) = (C2×C8).D14φ: C4○D8/SD16C2 ⊆ Aut C14224C14.50(C4oD8)448,349
C14.51(C4○D8) = Dic78SD16φ: C4○D8/SD16C2 ⊆ Aut C14224C14.51(C4oD8)448,386
C14.52(C4○D8) = Dic14.Q8φ: C4○D8/SD16C2 ⊆ Aut C14448C14.52(C4oD8)448,391
C14.53(C4○D8) = C56.8Q8φ: C4○D8/SD16C2 ⊆ Aut C14448C14.53(C4oD8)448,392
C14.54(C4○D8) = (C8×D7)⋊C4φ: C4○D8/SD16C2 ⊆ Aut C14224C14.54(C4oD8)448,394
C14.55(C4○D8) = C88D28φ: C4○D8/SD16C2 ⊆ Aut C14224C14.55(C4oD8)448,398
C14.56(C4○D8) = C4.Q8⋊D7φ: C4○D8/SD16C2 ⊆ Aut C14224C14.56(C4oD8)448,400
C14.57(C4○D8) = C28.(C4○D4)φ: C4○D8/SD16C2 ⊆ Aut C14224C14.57(C4oD8)448,401
C14.58(C4○D8) = D28.Q8φ: C4○D8/SD16C2 ⊆ Aut C14224C14.58(C4oD8)448,405
C14.59(C4○D8) = SD16×Dic7φ: C4○D8/SD16C2 ⊆ Aut C14224C14.59(C4oD8)448,695
C14.60(C4○D8) = (C7×D4).D4φ: C4○D8/SD16C2 ⊆ Aut C14224C14.60(C4oD8)448,699
C14.61(C4○D8) = (C7×Q8).D4φ: C4○D8/SD16C2 ⊆ Aut C14224C14.61(C4oD8)448,700
C14.62(C4○D8) = C56.43D4φ: C4○D8/SD16C2 ⊆ Aut C14224C14.62(C4oD8)448,702
C14.63(C4○D8) = C5614D4φ: C4○D8/SD16C2 ⊆ Aut C14224C14.63(C4oD8)448,705
C14.64(C4○D8) = D287D4φ: C4○D8/SD16C2 ⊆ Aut C14224C14.64(C4oD8)448,706
C14.65(C4○D8) = Dic14.16D4φ: C4○D8/SD16C2 ⊆ Aut C14224C14.65(C4oD8)448,707
C14.66(C4○D8) = Dic77SD16φ: C4○D8/Q16C2 ⊆ Aut C14224C14.66(C4oD8)448,322
C14.67(C4○D8) = Q8.Dic14φ: C4○D8/Q16C2 ⊆ Aut C14448C14.67(C4oD8)448,330
C14.68(C4○D8) = Q8⋊Dic7⋊C2φ: C4○D8/Q16C2 ⊆ Aut C14224C14.68(C4oD8)448,334
C14.69(C4○D8) = D142SD16φ: C4○D8/Q16C2 ⊆ Aut C14224C14.69(C4oD8)448,341
C14.70(C4○D8) = D284D4φ: C4○D8/Q16C2 ⊆ Aut C14224C14.70(C4oD8)448,345
C14.71(C4○D8) = D14⋊C8.C2φ: C4○D8/Q16C2 ⊆ Aut C14224C14.71(C4oD8)448,348
C14.72(C4○D8) = D28.12D4φ: C4○D8/Q16C2 ⊆ Aut C14224C14.72(C4oD8)448,353
C14.73(C4○D8) = Dic75D8φ: C4○D8/Q16C2 ⊆ Aut C14224C14.73(C4oD8)448,406
C14.74(C4○D8) = C56.4Q8φ: C4○D8/Q16C2 ⊆ Aut C14448C14.74(C4oD8)448,412
C14.75(C4○D8) = C87D28φ: C4○D8/Q16C2 ⊆ Aut C14224C14.75(C4oD8)448,417
C14.76(C4○D8) = C2.D8⋊D7φ: C4○D8/Q16C2 ⊆ Aut C14224C14.76(C4oD8)448,419
C14.77(C4○D8) = D28.2Q8φ: C4○D8/Q16C2 ⊆ Aut C14224C14.77(C4oD8)448,425
C14.78(C4○D8) = Q16×Dic7φ: C4○D8/Q16C2 ⊆ Aut C14448C14.78(C4oD8)448,717
C14.79(C4○D8) = (C2×Q16)⋊D7φ: C4○D8/Q16C2 ⊆ Aut C14224C14.79(C4oD8)448,719
C14.80(C4○D8) = D28.17D4φ: C4○D8/Q16C2 ⊆ Aut C14224C14.80(C4oD8)448,721
C14.81(C4○D8) = D143Q16φ: C4○D8/Q16C2 ⊆ Aut C14224C14.81(C4oD8)448,722
C14.82(C4○D8) = C56.28D4φ: C4○D8/Q16C2 ⊆ Aut C14224C14.82(C4oD8)448,725
C14.83(C4○D8) = C4⋊C4.233D14φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.83(C4oD8)448,530
C14.84(C4○D8) = C28.45(C4⋊C4)φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.84(C4oD8)448,532
C14.85(C4○D8) = C4.(C2×D28)φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.85(C4oD8)448,536
C14.86(C4○D8) = C4⋊C4.236D14φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.86(C4oD8)448,537
C14.87(C4○D8) = D4.3Dic14φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.87(C4oD8)448,543
C14.88(C4○D8) = C4×D4⋊D7φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.88(C4oD8)448,547
C14.89(C4○D8) = D4.1D28φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.89(C4oD8)448,550
C14.90(C4○D8) = C4×D4.D7φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.90(C4oD8)448,551
C14.91(C4○D8) = Q8.3Dic14φ: C4○D8/C4○D4C2 ⊆ Aut C14448C14.91(C4oD8)448,556
C14.92(C4○D8) = C4×Q8⋊D7φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.92(C4oD8)448,559
C14.93(C4○D8) = Q8.1D28φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.93(C4oD8)448,562
C14.94(C4○D8) = C4×C7⋊Q16φ: C4○D8/C4○D4C2 ⊆ Aut C14448C14.94(C4oD8)448,563
C14.95(C4○D8) = (C2×D4).D14φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.95(C4oD8)448,569
C14.96(C4○D8) = D2817D4φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.96(C4oD8)448,571
C14.97(C4○D8) = C7⋊C822D4φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.97(C4oD8)448,572
C14.98(C4○D8) = C7⋊C823D4φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.98(C4oD8)448,575
C14.99(C4○D8) = C14.(C4○D8)φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.99(C4oD8)448,579
C14.100(C4○D8) = D28.37D4φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.100(C4oD8)448,581
C14.101(C4○D8) = C7⋊C824D4φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.101(C4oD8)448,582
C14.102(C4○D8) = C7⋊C8.29D4φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.102(C4oD8)448,585
C14.103(C4○D8) = C42.61D14φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.103(C4oD8)448,588
C14.104(C4○D8) = C42.213D14φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.104(C4oD8)448,590
C14.105(C4○D8) = D28.23D4φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.105(C4oD8)448,591
C14.106(C4○D8) = C42.214D14φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.106(C4oD8)448,593
C14.107(C4○D8) = Dic14.4Q8φ: C4○D8/C4○D4C2 ⊆ Aut C14448C14.107(C4oD8)448,597
C14.108(C4○D8) = C42.215D14φ: C4○D8/C4○D4C2 ⊆ Aut C14448C14.108(C4oD8)448,598
C14.109(C4○D8) = D28.4Q8φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.109(C4oD8)448,600
C14.110(C4○D8) = C42.216D14φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.110(C4oD8)448,602
C14.111(C4○D8) = C28.(C2×D4)φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.111(C4oD8)448,767
C14.112(C4○D8) = (C7×D4)⋊14D4φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.112(C4oD8)448,772
C14.113(C4○D8) = (C7×D4).32D4φ: C4○D8/C4○D4C2 ⊆ Aut C14224C14.113(C4oD8)448,773
C14.114(C4○D8) = C7×C23.24D4central extension (φ=1)224C14.114(C4oD8)448,824
C14.115(C4○D8) = C7×C23.25D4central extension (φ=1)224C14.115(C4oD8)448,835
C14.116(C4○D8) = D8×C28central extension (φ=1)224C14.116(C4oD8)448,845
C14.117(C4○D8) = SD16×C28central extension (φ=1)224C14.117(C4oD8)448,846
C14.118(C4○D8) = Q16×C28central extension (φ=1)448C14.118(C4oD8)448,847
C14.119(C4○D8) = C7×D4⋊D4central extension (φ=1)224C14.119(C4oD8)448,857
C14.120(C4○D8) = C7×D4.7D4central extension (φ=1)224C14.120(C4oD8)448,860
C14.121(C4○D8) = C7×D4.2D4central extension (φ=1)224C14.121(C4oD8)448,871
C14.122(C4○D8) = C7×Q8.D4central extension (φ=1)224C14.122(C4oD8)448,872
C14.123(C4○D8) = C7×C88D4central extension (φ=1)224C14.123(C4oD8)448,873
C14.124(C4○D8) = C7×C87D4central extension (φ=1)224C14.124(C4oD8)448,874
C14.125(C4○D8) = C7×C8.18D4central extension (φ=1)224C14.125(C4oD8)448,875
C14.126(C4○D8) = C7×D4.Q8central extension (φ=1)224C14.126(C4oD8)448,886
C14.127(C4○D8) = C7×Q8.Q8central extension (φ=1)448C14.127(C4oD8)448,887
C14.128(C4○D8) = C7×C23.19D4central extension (φ=1)224C14.128(C4oD8)448,890
C14.129(C4○D8) = C7×C23.20D4central extension (φ=1)224C14.129(C4oD8)448,893
C14.130(C4○D8) = C7×C42.78C22central extension (φ=1)224C14.130(C4oD8)448,896
C14.131(C4○D8) = C7×C8.12D4central extension (φ=1)224C14.131(C4oD8)448,903
C14.132(C4○D8) = C7×C8.5Q8central extension (φ=1)448C14.132(C4oD8)448,907

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