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Extensions 1→N→G→Q→1 with N=C14 and Q=C2×D8

Direct product G=N×Q with N=C14 and Q=C2×D8
dρLabelID
D8×C2×C14224D8xC2xC14448,1352

Semidirect products G=N:Q with N=C14 and Q=C2×D8
extensionφ:Q→Aut NdρLabelID
C14⋊1(C2×D8) = C22×D56φ: C2×D8/C2×C8 → C2 ⊆ Aut C14224C14:1(C2xD8)448,1193
C14⋊2(C2×D8) = C2×D7×D8φ: C2×D8/D8 → C2 ⊆ Aut C14112C14:2(C2xD8)448,1207
C14⋊3(C2×D8) = C22×D4⋊D7φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14:3(C2xD8)448,1245

Non-split extensions G=N.Q with N=C14 and Q=C2×D8
extensionφ:Q→Aut NdρLabelID
C14.1(C2×D8) = C56⋊8Q8φ: C2×D8/C2×C8 → C2 ⊆ Aut C14448C14.1(C2xD8)448,216
C14.2(C2×D8) = C4×D56φ: C2×D8/C2×C8 → C2 ⊆ Aut C14224C14.2(C2xD8)448,226
C14.3(C2×D8) = C4.5D56φ: C2×D8/C2×C8 → C2 ⊆ Aut C14224C14.3(C2xD8)448,228
C14.4(C2×D8) = C28⋊4D8φ: C2×D8/C2×C8 → C2 ⊆ Aut C14224C14.4(C2xD8)448,229
C14.5(C2×D8) = D28⋊13D4φ: C2×D8/C2×C8 → C2 ⊆ Aut C14112C14.5(C2xD8)448,266
C14.6(C2×D8) = C22.D56φ: C2×D8/C2×C8 → C2 ⊆ Aut C14224C14.6(C2xD8)448,270
C14.7(C2×D8) = C4⋊D56φ: C2×D8/C2×C8 → C2 ⊆ Aut C14224C14.7(C2xD8)448,377
C14.8(C2×D8) = D28⋊4Q8φ: C2×D8/C2×C8 → C2 ⊆ Aut C14224C14.8(C2xD8)448,380
C14.9(C2×D8) = C2×D112φ: C2×D8/C2×C8 → C2 ⊆ Aut C14224C14.9(C2xD8)448,436
C14.10(C2×D8) = C2×C112⋊C2φ: C2×D8/C2×C8 → C2 ⊆ Aut C14224C14.10(C2xD8)448,437
C14.11(C2×D8) = D112⋊7C2φ: C2×D8/C2×C8 → C2 ⊆ Aut C142242C14.11(C2xD8)448,438
C14.12(C2×D8) = C2×Dic56φ: C2×D8/C2×C8 → C2 ⊆ Aut C14448C14.12(C2xD8)448,439
C14.13(C2×D8) = C16⋊D14φ: C2×D8/C2×C8 → C2 ⊆ Aut C141124+C14.13(C2xD8)448,442
C14.14(C2×D8) = C16.D14φ: C2×D8/C2×C8 → C2 ⊆ Aut C142244-C14.14(C2xD8)448,443
C14.15(C2×D8) = C2×C56⋊1C4φ: C2×D8/C2×C8 → C2 ⊆ Aut C14448C14.15(C2xD8)448,639
C14.16(C2×D8) = C2×C2.D56φ: C2×D8/C2×C8 → C2 ⊆ Aut C14224C14.16(C2xD8)448,646
C14.17(C2×D8) = C56⋊29D4φ: C2×D8/C2×C8 → C2 ⊆ Aut C14224C14.17(C2xD8)448,649
C14.18(C2×D8) = Dic7⋊4D8φ: C2×D8/D8 → C2 ⊆ Aut C14224C14.18(C2xD8)448,290
C14.19(C2×D8) = Dic7.D8φ: C2×D8/D8 → C2 ⊆ Aut C14224C14.19(C2xD8)448,293
C14.20(C2×D8) = Dic7.SD16φ: C2×D8/D8 → C2 ⊆ Aut C14224C14.20(C2xD8)448,294
C14.21(C2×D8) = D7×D4⋊C4φ: C2×D8/D8 → C2 ⊆ Aut C14112C14.21(C2xD8)448,303
C14.22(C2×D8) = D4⋊D28φ: C2×D8/D8 → C2 ⊆ Aut C14112C14.22(C2xD8)448,307
C14.23(C2×D8) = D14.D8φ: C2×D8/D8 → C2 ⊆ Aut C14224C14.23(C2xD8)448,308
C14.24(C2×D8) = D14⋊D8φ: C2×D8/D8 → C2 ⊆ Aut C14224C14.24(C2xD8)448,309
C14.25(C2×D8) = D28⋊3D4φ: C2×D8/D8 → C2 ⊆ Aut C14224C14.25(C2xD8)448,320
C14.26(C2×D8) = Dic7⋊5D8φ: C2×D8/D8 → C2 ⊆ Aut C14224C14.26(C2xD8)448,406
C14.27(C2×D8) = C56⋊2Q8φ: C2×D8/D8 → C2 ⊆ Aut C14448C14.27(C2xD8)448,408
C14.28(C2×D8) = D7×C2.D8φ: C2×D8/D8 → C2 ⊆ Aut C14224C14.28(C2xD8)448,413
C14.29(C2×D8) = D14.5D8φ: C2×D8/D8 → C2 ⊆ Aut C14224C14.29(C2xD8)448,416
C14.30(C2×D8) = C8⋊7D28φ: C2×D8/D8 → C2 ⊆ Aut C14224C14.30(C2xD8)448,417
C14.31(C2×D8) = D28⋊2Q8φ: C2×D8/D8 → C2 ⊆ Aut C14224C14.31(C2xD8)448,424
C14.32(C2×D8) = D7×D16φ: C2×D8/D8 → C2 ⊆ Aut C141124+C14.32(C2xD8)448,444
C14.33(C2×D8) = D8⋊D14φ: C2×D8/D8 → C2 ⊆ Aut C141124C14.33(C2xD8)448,445
C14.34(C2×D8) = D16⋊3D7φ: C2×D8/D8 → C2 ⊆ Aut C142244-C14.34(C2xD8)448,446
C14.35(C2×D8) = D7×SD32φ: C2×D8/D8 → C2 ⊆ Aut C141124C14.35(C2xD8)448,447
C14.36(C2×D8) = D112⋊C2φ: C2×D8/D8 → C2 ⊆ Aut C141124+C14.36(C2xD8)448,448
C14.37(C2×D8) = SD32⋊D7φ: C2×D8/D8 → C2 ⊆ Aut C142244-C14.37(C2xD8)448,449
C14.38(C2×D8) = SD32⋊3D7φ: C2×D8/D8 → C2 ⊆ Aut C142244C14.38(C2xD8)448,450
C14.39(C2×D8) = D7×Q32φ: C2×D8/D8 → C2 ⊆ Aut C142244-C14.39(C2xD8)448,451
C14.40(C2×D8) = Q32⋊D7φ: C2×D8/D8 → C2 ⊆ Aut C142244C14.40(C2xD8)448,452
C14.41(C2×D8) = Q32⋊3D7φ: C2×D8/D8 → C2 ⊆ Aut C142244+C14.41(C2xD8)448,453
C14.42(C2×D8) = D8×Dic7φ: C2×D8/D8 → C2 ⊆ Aut C14224C14.42(C2xD8)448,683
C14.43(C2×D8) = Dic7⋊D8φ: C2×D8/D8 → C2 ⊆ Aut C14224C14.43(C2xD8)448,684
C14.44(C2×D8) = C56⋊5D4φ: C2×D8/D8 → C2 ⊆ Aut C14224C14.44(C2xD8)448,685
C14.45(C2×D8) = D28⋊D4φ: C2×D8/D8 → C2 ⊆ Aut C14112C14.45(C2xD8)448,690
C14.46(C2×D8) = C56⋊6D4φ: C2×D8/D8 → C2 ⊆ Aut C14224C14.46(C2xD8)448,691
C14.47(C2×D8) = C2×C28.Q8φ: C2×D8/C2×D4 → C2 ⊆ Aut C14448C14.47(C2xD8)448,496
C14.48(C2×D8) = C2×C14.D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.48(C2xD8)448,499
C14.49(C2×D8) = (C2×C14).40D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.49(C2xD8)448,501
C14.50(C2×D8) = C28.50D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.50(C2xD8)448,541
C14.51(C2×D8) = C4×D4⋊D7φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.51(C2xD8)448,547
C14.52(C2×D8) = C28⋊7D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.52(C2xD8)448,549
C14.53(C2×D8) = (C2×C14).D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.53(C2xD8)448,567
C14.54(C2×D8) = D28⋊16D4φ: C2×D8/C2×D4 → C2 ⊆ Aut C14112C14.54(C2xD8)448,570
C14.55(C2×D8) = C7⋊C8⋊22D4φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.55(C2xD8)448,572
C14.56(C2×D8) = C28.16D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.56(C2xD8)448,604
C14.57(C2×D8) = C28⋊2D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.57(C2xD8)448,606
C14.58(C2×D8) = C28⋊D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.58(C2xD8)448,607
C14.59(C2×D8) = C28.17D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C14448C14.59(C2xD8)448,612
C14.60(C2×D8) = D28⋊6Q8φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.60(C2xD8)448,621
C14.61(C2×D8) = C28.D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.61(C2xD8)448,622
C14.62(C2×D8) = C2×C7⋊D16φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.62(C2xD8)448,680
C14.63(C2×D8) = D8.D14φ: C2×D8/C2×D4 → C2 ⊆ Aut C141124C14.63(C2xD8)448,681
C14.64(C2×D8) = C2×D8.D7φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.64(C2xD8)448,682
C14.65(C2×D8) = C2×C7⋊SD32φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.65(C2xD8)448,712
C14.66(C2×D8) = Q16.D14φ: C2×D8/C2×D4 → C2 ⊆ Aut C142244C14.66(C2xD8)448,713
C14.67(C2×D8) = C2×C7⋊Q32φ: C2×D8/C2×D4 → C2 ⊆ Aut C14448C14.67(C2xD8)448,714
C14.68(C2×D8) = Q16⋊D14φ: C2×D8/C2×D4 → C2 ⊆ Aut C141124+C14.68(C2xD8)448,727
C14.69(C2×D8) = C56.30C23φ: C2×D8/C2×D4 → C2 ⊆ Aut C142244C14.69(C2xD8)448,728
C14.70(C2×D8) = C56.31C23φ: C2×D8/C2×D4 → C2 ⊆ Aut C142244-C14.70(C2xD8)448,729
C14.71(C2×D8) = C2×D4⋊Dic7φ: C2×D8/C2×D4 → C2 ⊆ Aut C14224C14.71(C2xD8)448,748
C14.72(C2×D8) = (C2×C14)⋊8D8φ: C2×D8/C2×D4 → C2 ⊆ Aut C14112C14.72(C2xD8)448,751
C14.73(C2×D8) = C14×D4⋊C4central extension (φ=1)224C14.73(C2xD8)448,822
C14.74(C2×D8) = C14×C2.D8central extension (φ=1)448C14.74(C2xD8)448,834
C14.75(C2×D8) = D8×C28central extension (φ=1)224C14.75(C2xD8)448,845
C14.76(C2×D8) = C7×C22⋊D8central extension (φ=1)112C14.76(C2xD8)448,855
C14.77(C2×D8) = C7×C4⋊D8central extension (φ=1)224C14.77(C2xD8)448,867
C14.78(C2×D8) = C7×C8⋊7D4central extension (φ=1)224C14.78(C2xD8)448,874
C14.79(C2×D8) = C7×D4⋊Q8central extension (φ=1)224C14.79(C2xD8)448,882
C14.80(C2×D8) = C7×C22.D8central extension (φ=1)224C14.80(C2xD8)448,888
C14.81(C2×D8) = C7×C4.4D8central extension (φ=1)224C14.81(C2xD8)448,894
C14.82(C2×D8) = C7×C8⋊4D4central extension (φ=1)224C14.82(C2xD8)448,901
C14.83(C2×D8) = C7×C8⋊2Q8central extension (φ=1)448C14.83(C2xD8)448,908
C14.84(C2×D8) = C14×D16central extension (φ=1)224C14.84(C2xD8)448,913
C14.85(C2×D8) = C14×SD32central extension (φ=1)224C14.85(C2xD8)448,914
C14.86(C2×D8) = C14×Q32central extension (φ=1)448C14.86(C2xD8)448,915
C14.87(C2×D8) = C7×C4○D16central extension (φ=1)2242C14.87(C2xD8)448,916
C14.88(C2×D8) = C7×C16⋊C22central extension (φ=1)1124C14.88(C2xD8)448,917
C14.89(C2×D8) = C7×Q32⋊C2central extension (φ=1)2244C14.89(C2xD8)448,918

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