# Extensions 1→N→G→Q→1 with N=C14 and Q=C2×C22⋊C4

Direct product G=N×Q with N=C14 and Q=C2×C22⋊C4
dρLabelID
C22⋊C4×C2×C14224C2^2:C4xC2xC14448,1295

Semidirect products G=N:Q with N=C14 and Q=C2×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C141(C2×C22⋊C4) = C2×D7×C22⋊C4φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14112C14:1(C2xC2^2:C4)448,937
C142(C2×C22⋊C4) = C22×D14⋊C4φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14:2(C2xC2^2:C4)448,1240
C143(C2×C22⋊C4) = C22×C23.D7φ: C2×C22⋊C4/C24C2 ⊆ Aut C14224C14:3(C2xC2^2:C4)448,1292

Non-split extensions G=N.Q with N=C14 and Q=C2×C22⋊C4
extensionφ:Q→Aut NdρLabelID
C14.1(C2×C22⋊C4) = (C2×C28)⋊Q8φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14448C14.1(C2xC2^2:C4)448,180
C14.2(C2×C22⋊C4) = D7×C2.C42φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.2(C2xC2^2:C4)448,197
C14.3(C2×C22⋊C4) = C22.58(D4×D7)φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.3(C2xC2^2:C4)448,198
C14.4(C2×C22⋊C4) = (C2×C4)⋊9D28φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.4(C2xC2^2:C4)448,199
C14.5(C2×C22⋊C4) = D14⋊C42φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.5(C2xC2^2:C4)448,200
C14.6(C2×C22⋊C4) = D14⋊(C4⋊C4)φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.6(C2xC2^2:C4)448,201
C14.7(C2×C22⋊C4) = D7×C22⋊C8φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14112C14.7(C2xC2^2:C4)448,258
C14.8(C2×C22⋊C4) = D14⋊M4(2)φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14112C14.8(C2xC2^2:C4)448,260
C14.9(C2×C22⋊C4) = D14⋊C8⋊C2φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.9(C2xC2^2:C4)448,261
C14.10(C2×C22⋊C4) = C23⋊C45D7φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C141128-C14.10(C2xC2^2:C4)448,274
C14.11(C2×C22⋊C4) = D7×C23⋊C4φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14568+C14.11(C2xC2^2:C4)448,277
C14.12(C2×C22⋊C4) = D7×C4.D4φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14568+C14.12(C2xC2^2:C4)448,278
C14.13(C2×C22⋊C4) = M4(2).19D14φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C141128-C14.13(C2xC2^2:C4)448,279
C14.14(C2×C22⋊C4) = D7×C4.10D4φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C141128-C14.14(C2xC2^2:C4)448,284
C14.15(C2×C22⋊C4) = M4(2).21D14φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C141128+C14.15(C2xC2^2:C4)448,285
C14.16(C2×C22⋊C4) = D7×D4⋊C4φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14112C14.16(C2xC2^2:C4)448,303
C14.17(C2×C22⋊C4) = (D4×D7)⋊C4φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14112C14.17(C2xC2^2:C4)448,304
C14.18(C2×C22⋊C4) = D4⋊(C4×D7)φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.18(C2xC2^2:C4)448,305
C14.19(C2×C22⋊C4) = D42D7⋊C4φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.19(C2xC2^2:C4)448,306
C14.20(C2×C22⋊C4) = D7×Q8⋊C4φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.20(C2xC2^2:C4)448,335
C14.21(C2×C22⋊C4) = (Q8×D7)⋊C4φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.21(C2xC2^2:C4)448,336
C14.22(C2×C22⋊C4) = Q8⋊(C4×D7)φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.22(C2xC2^2:C4)448,337
C14.23(C2×C22⋊C4) = Q82D7⋊C4φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.23(C2xC2^2:C4)448,338
C14.24(C2×C22⋊C4) = D7×C4≀C2φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14564C14.24(C2xC2^2:C4)448,354
C14.25(C2×C22⋊C4) = C42⋊D14φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C141124C14.25(C2xC2^2:C4)448,355
C14.26(C2×C22⋊C4) = C22⋊C4×Dic7φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.26(C2xC2^2:C4)448,475
C14.27(C2×C22⋊C4) = C24.44D14φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.27(C2xC2^2:C4)448,476
C14.28(C2×C22⋊C4) = C24.12D14φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.28(C2xC2^2:C4)448,490
C14.29(C2×C22⋊C4) = C24.13D14φ: C2×C22⋊C4/C22⋊C4C2 ⊆ Aut C14224C14.29(C2xC2^2:C4)448,491
C14.30(C2×C22⋊C4) = C2×Dic14⋊C4φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14112C14.30(C2xC2^2:C4)448,461
C14.31(C2×C22⋊C4) = (C2×C28)⋊10Q8φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14448C14.31(C2xC2^2:C4)448,463
C14.32(C2×C22⋊C4) = C4×D14⋊C4φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.32(C2xC2^2:C4)448,472
C14.33(C2×C22⋊C4) = (C2×C4)⋊6D28φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.33(C2xC2^2:C4)448,473
C14.34(C2×C22⋊C4) = C23.42D28φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.34(C2xC2^2:C4)448,477
C14.35(C2×C22⋊C4) = C2×C23.1D14φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14112C14.35(C2xC2^2:C4)448,488
C14.36(C2×C22⋊C4) = C23.44D28φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14112C14.36(C2xC2^2:C4)448,489
C14.37(C2×C22⋊C4) = C23.45D28φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.37(C2xC2^2:C4)448,492
C14.38(C2×C22⋊C4) = C2×C14.D8φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.38(C2xC2^2:C4)448,499
C14.39(C2×C22⋊C4) = C4○D28⋊C4φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.39(C2xC2^2:C4)448,500
C14.40(C2×C22⋊C4) = C2×C14.Q16φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14448C14.40(C2xC2^2:C4)448,503
C14.41(C2×C22⋊C4) = (C2×Dic7)⋊6Q8φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14448C14.41(C2xC2^2:C4)448,508
C14.42(C2×C22⋊C4) = C4⋊(D14⋊C4)φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.42(C2xC2^2:C4)448,521
C14.43(C2×C22⋊C4) = (C2×D28)⋊10C4φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.43(C2xC2^2:C4)448,522
C14.44(C2×C22⋊C4) = C4⋊C436D14φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14112C14.44(C2xC2^2:C4)448,535
C14.45(C2×C22⋊C4) = C4.(C2×D28)φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.45(C2xC2^2:C4)448,536
C14.46(C2×C22⋊C4) = (C2×C4).47D28φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.46(C2xC2^2:C4)448,538
C14.47(C2×C22⋊C4) = C424D14φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C141124C14.47(C2xC2^2:C4)448,539
C14.48(C2×C22⋊C4) = (C2×D28)⋊13C4φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C141124C14.48(C2xC2^2:C4)448,540
C14.49(C2×C22⋊C4) = C2×C28.44D4φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14448C14.49(C2xC2^2:C4)448,637
C14.50(C2×C22⋊C4) = C2×D14⋊C8φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.50(C2xC2^2:C4)448,642
C14.51(C2×C22⋊C4) = (C22×C8)⋊D7φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.51(C2xC2^2:C4)448,644
C14.52(C2×C22⋊C4) = C2×C2.D56φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.52(C2xC2^2:C4)448,646
C14.53(C2×C22⋊C4) = C23.23D28φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.53(C2xC2^2:C4)448,647
C14.54(C2×C22⋊C4) = C23.46D28φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.54(C2xC2^2:C4)448,654
C14.55(C2×C22⋊C4) = D146M4(2)φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14112C14.55(C2xC2^2:C4)448,660
C14.56(C2×C22⋊C4) = (C2×D28).14C4φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.56(C2xC2^2:C4)448,663
C14.57(C2×C22⋊C4) = C2×C28.46D4φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14112C14.57(C2xC2^2:C4)448,664
C14.58(C2×C22⋊C4) = C23.48D28φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14112C14.58(C2xC2^2:C4)448,665
C14.59(C2×C22⋊C4) = M4(2).31D14φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C141124C14.59(C2xC2^2:C4)448,666
C14.60(C2×C22⋊C4) = C23.49D28φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.60(C2xC2^2:C4)448,667
C14.61(C2×C22⋊C4) = C2×C4.12D28φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.61(C2xC2^2:C4)448,670
C14.62(C2×C22⋊C4) = C2×D284C4φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14112C14.62(C2xC2^2:C4)448,672
C14.63(C2×C22⋊C4) = C23.20D28φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C141124C14.63(C2xC2^2:C4)448,673
C14.64(C2×C22⋊C4) = C2×C14.C42φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14448C14.64(C2xC2^2:C4)448,742
C14.65(C2×C22⋊C4) = C23.28D28φ: C2×C22⋊C4/C22×C4C2 ⊆ Aut C14224C14.65(C2xC2^2:C4)448,747
C14.66(C2×C22⋊C4) = C2×C28.55D4φ: C2×C22⋊C4/C24C2 ⊆ Aut C14224C14.66(C2xC2^2:C4)448,740
C14.67(C2×C22⋊C4) = C24.4Dic7φ: C2×C22⋊C4/C24C2 ⊆ Aut C14112C14.67(C2xC2^2:C4)448,741
C14.68(C2×C22⋊C4) = C4×C23.D7φ: C2×C22⋊C4/C24C2 ⊆ Aut C14224C14.68(C2xC2^2:C4)448,743
C14.69(C2×C22⋊C4) = C24.63D14φ: C2×C22⋊C4/C24C2 ⊆ Aut C14224C14.69(C2xC2^2:C4)448,745
C14.70(C2×C22⋊C4) = C23.27D28φ: C2×C22⋊C4/C24C2 ⊆ Aut C14224C14.70(C2xC2^2:C4)448,746
C14.71(C2×C22⋊C4) = C2×D4⋊Dic7φ: C2×C22⋊C4/C24C2 ⊆ Aut C14224C14.71(C2xC2^2:C4)448,748
C14.72(C2×C22⋊C4) = (D4×C14)⋊6C4φ: C2×C22⋊C4/C24C2 ⊆ Aut C14112C14.72(C2xC2^2:C4)448,749
C14.73(C2×C22⋊C4) = C2×C28.D4φ: C2×C22⋊C4/C24C2 ⊆ Aut C14112C14.73(C2xC2^2:C4)448,750
C14.74(C2×C22⋊C4) = C2×C23⋊Dic7φ: C2×C22⋊C4/C24C2 ⊆ Aut C14112C14.74(C2xC2^2:C4)448,753
C14.75(C2×C22⋊C4) = C24.18D14φ: C2×C22⋊C4/C24C2 ⊆ Aut C14224C14.75(C2xC2^2:C4)448,754
C14.76(C2×C22⋊C4) = C24.19D14φ: C2×C22⋊C4/C24C2 ⊆ Aut C14224C14.76(C2xC2^2:C4)448,755
C14.77(C2×C22⋊C4) = C2×Q8⋊Dic7φ: C2×C22⋊C4/C24C2 ⊆ Aut C14448C14.77(C2xC2^2:C4)448,758
C14.78(C2×C22⋊C4) = (Q8×C14)⋊6C4φ: C2×C22⋊C4/C24C2 ⊆ Aut C14224C14.78(C2xC2^2:C4)448,759
C14.79(C2×C22⋊C4) = C2×C28.10D4φ: C2×C22⋊C4/C24C2 ⊆ Aut C14224C14.79(C2xC2^2:C4)448,760
C14.80(C2×C22⋊C4) = (Q8×C14)⋊7C4φ: C2×C22⋊C4/C24C2 ⊆ Aut C14448C14.80(C2xC2^2:C4)448,764
C14.81(C2×C22⋊C4) = C4○D4⋊Dic7φ: C2×C22⋊C4/C24C2 ⊆ Aut C14224C14.81(C2xC2^2:C4)448,766
C14.82(C2×C22⋊C4) = C28.(C2×D4)φ: C2×C22⋊C4/C24C2 ⊆ Aut C14224C14.82(C2xC2^2:C4)448,767
C14.83(C2×C22⋊C4) = (D4×C14).11C4φ: C2×C22⋊C4/C24C2 ⊆ Aut C14224C14.83(C2xC2^2:C4)448,768
C14.84(C2×C22⋊C4) = C2×D42Dic7φ: C2×C22⋊C4/C24C2 ⊆ Aut C14112C14.84(C2xC2^2:C4)448,769
C14.85(C2×C22⋊C4) = (D4×C14)⋊9C4φ: C2×C22⋊C4/C24C2 ⊆ Aut C141124C14.85(C2xC2^2:C4)448,770
C14.86(C2×C22⋊C4) = (D4×C14).16C4φ: C2×C22⋊C4/C24C2 ⊆ Aut C141124C14.86(C2xC2^2:C4)448,771
C14.87(C2×C22⋊C4) = (D4×C14)⋊10C4φ: C2×C22⋊C4/C24C2 ⊆ Aut C141124C14.87(C2xC2^2:C4)448,774
C14.88(C2×C22⋊C4) = C25.D7φ: C2×C22⋊C4/C24C2 ⊆ Aut C14112C14.88(C2xC2^2:C4)448,781
C14.89(C2×C22⋊C4) = C14×C2.C42central extension (φ=1)448C14.89(C2xC2^2:C4)448,783
C14.90(C2×C22⋊C4) = C22⋊C4×C28central extension (φ=1)224C14.90(C2xC2^2:C4)448,785
C14.91(C2×C22⋊C4) = C7×C243C4central extension (φ=1)112C14.91(C2xC2^2:C4)448,787
C14.92(C2×C22⋊C4) = C7×C23.7Q8central extension (φ=1)224C14.92(C2xC2^2:C4)448,788
C14.93(C2×C22⋊C4) = C7×C23.34D4central extension (φ=1)224C14.93(C2xC2^2:C4)448,789
C14.94(C2×C22⋊C4) = C7×C23.23D4central extension (φ=1)224C14.94(C2xC2^2:C4)448,794
C14.95(C2×C22⋊C4) = C7×C24.3C22central extension (φ=1)224C14.95(C2xC2^2:C4)448,798
C14.96(C2×C22⋊C4) = C7×C23.67C23central extension (φ=1)448C14.96(C2xC2^2:C4)448,799
C14.97(C2×C22⋊C4) = C14×C22⋊C8central extension (φ=1)224C14.97(C2xC2^2:C4)448,814
C14.98(C2×C22⋊C4) = C7×C24.4C4central extension (φ=1)112C14.98(C2xC2^2:C4)448,815
C14.99(C2×C22⋊C4) = C7×(C22×C8)⋊C2central extension (φ=1)224C14.99(C2xC2^2:C4)448,816
C14.100(C2×C22⋊C4) = C14×C23⋊C4central extension (φ=1)112C14.100(C2xC2^2:C4)448,817
C14.101(C2×C22⋊C4) = C7×C23.C23central extension (φ=1)1124C14.101(C2xC2^2:C4)448,818
C14.102(C2×C22⋊C4) = C14×C4.D4central extension (φ=1)112C14.102(C2xC2^2:C4)448,819
C14.103(C2×C22⋊C4) = C14×C4.10D4central extension (φ=1)224C14.103(C2xC2^2:C4)448,820
C14.104(C2×C22⋊C4) = C7×M4(2).8C22central extension (φ=1)1124C14.104(C2xC2^2:C4)448,821
C14.105(C2×C22⋊C4) = C14×D4⋊C4central extension (φ=1)224C14.105(C2xC2^2:C4)448,822
C14.106(C2×C22⋊C4) = C14×Q8⋊C4central extension (φ=1)448C14.106(C2xC2^2:C4)448,823
C14.107(C2×C22⋊C4) = C7×C23.24D4central extension (φ=1)224C14.107(C2xC2^2:C4)448,824
C14.108(C2×C22⋊C4) = C7×C23.36D4central extension (φ=1)224C14.108(C2xC2^2:C4)448,825
C14.109(C2×C22⋊C4) = C7×C23.37D4central extension (φ=1)112C14.109(C2xC2^2:C4)448,826
C14.110(C2×C22⋊C4) = C7×C23.38D4central extension (φ=1)224C14.110(C2xC2^2:C4)448,827
C14.111(C2×C22⋊C4) = C14×C4≀C2central extension (φ=1)112C14.111(C2xC2^2:C4)448,828
C14.112(C2×C22⋊C4) = C7×C42⋊C22central extension (φ=1)1124C14.112(C2xC2^2:C4)448,829

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