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Extensions 1→N→G→Q→1 with N=C14 and Q=C22.D4

Direct product G=N×Q with N=C14 and Q=C22.D4
dρLabelID
C14×C22.D4224C14xC2^2.D4448,1307

Semidirect products G=N:Q with N=C14 and Q=C22.D4
extensionφ:Q→Aut NdρLabelID
C14⋊1(C22.D4) = C2×D14.D4φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14:1(C2^2.D4)448,941
C14⋊2(C22.D4) = C2×C22.D28φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14:2(C2^2.D4)448,945
C14⋊3(C22.D4) = C2×D14.5D4φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14:3(C2^2.D4)448,958
C14⋊4(C22.D4) = C2×C23.23D14φ: C22.D4/C22×C4 → C2 ⊆ Aut C14224C14:4(C2^2.D4)448,1242
C14⋊5(C22.D4) = C2×C23.18D14φ: C22.D4/C2×D4 → C2 ⊆ Aut C14224C14:5(C2^2.D4)448,1249

Non-split extensions G=N.Q with N=C14 and Q=C22.D4
extensionφ:Q→Aut NdρLabelID
C14.1(C22.D4) = Dic7⋊C4⋊C4φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14448C14.1(C2^2.D4)448,186
C14.2(C22.D4) = C4⋊Dic7⋊7C4φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14448C14.2(C2^2.D4)448,187
C14.3(C22.D4) = C4⋊Dic7⋊8C4φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14448C14.3(C2^2.D4)448,188
C14.4(C22.D4) = C2.(C28⋊Q8)φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14448C14.4(C2^2.D4)448,191
C14.5(C22.D4) = (C2×Dic7).Q8φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14448C14.5(C2^2.D4)448,192
C14.6(C22.D4) = (C2×C28).28D4φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14448C14.6(C2^2.D4)448,193
C14.7(C22.D4) = C14.(C4⋊Q8)φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14448C14.7(C2^2.D4)448,195
C14.8(C22.D4) = C22.58(D4×D7)φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.8(C2^2.D4)448,198
C14.9(C22.D4) = D14⋊C4⋊C4φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.9(C2^2.D4)448,202
C14.10(C22.D4) = C2.(C4×D28)φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.10(C2^2.D4)448,204
C14.11(C22.D4) = (C2×C4).21D28φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.11(C2^2.D4)448,208
C14.12(C22.D4) = (C22×D7).9D4φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.12(C2^2.D4)448,209
C14.13(C22.D4) = (C2×C28).33D4φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.13(C2^2.D4)448,211
C14.14(C22.D4) = C23.34D28φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.14(C2^2.D4)448,255
C14.15(C22.D4) = C23.35D28φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.15(C2^2.D4)448,256
C14.16(C22.D4) = C23.10D28φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.16(C2^2.D4)448,257
C14.17(C22.D4) = C23.38D28φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.17(C2^2.D4)448,269
C14.18(C22.D4) = C22.D56φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.18(C2^2.D4)448,270
C14.19(C22.D4) = C23.13D28φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.19(C2^2.D4)448,271
C14.20(C22.D4) = D14.D8φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.20(C2^2.D4)448,308
C14.21(C22.D4) = D14.SD16φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.21(C2^2.D4)448,311
C14.22(C22.D4) = C8⋊Dic7⋊C2φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.22(C2^2.D4)448,313
C14.23(C22.D4) = C56⋊1C4⋊C2φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.23(C2^2.D4)448,318
C14.24(C22.D4) = D14.1SD16φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.24(C2^2.D4)448,339
C14.25(C22.D4) = D14.Q16φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.25(C2^2.D4)448,343
C14.26(C22.D4) = D14⋊C8.C2φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.26(C2^2.D4)448,348
C14.27(C22.D4) = (C2×C8).D14φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.27(C2^2.D4)448,349
C14.28(C22.D4) = C24.4D14φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.28(C2^2.D4)448,479
C14.29(C22.D4) = C24.7D14φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.29(C2^2.D4)448,483
C14.30(C22.D4) = C24.47D14φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.30(C2^2.D4)448,484
C14.31(C22.D4) = C24.8D14φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.31(C2^2.D4)448,485
C14.32(C22.D4) = C24.12D14φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.32(C2^2.D4)448,490
C14.33(C22.D4) = C23.45D28φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.33(C2^2.D4)448,492
C14.34(C22.D4) = C24.14D14φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.34(C2^2.D4)448,493
C14.35(C22.D4) = C23.16D28φ: C22.D4/C22⋊C4 → C2 ⊆ Aut C14224C14.35(C2^2.D4)448,495
C14.36(C22.D4) = C14.(C4×D4)φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14448C14.36(C2^2.D4)448,189
C14.37(C22.D4) = (C2×C4).Dic14φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14448C14.37(C2^2.D4)448,194
C14.38(C22.D4) = (C2×C4)⋊9D28φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14.38(C2^2.D4)448,199
C14.39(C22.D4) = D14⋊C4⋊5C4φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14.39(C2^2.D4)448,203
C14.40(C22.D4) = (C2×Dic7)⋊3D4φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14.40(C2^2.D4)448,206
C14.41(C22.D4) = D14.2SD16φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14.41(C2^2.D4)448,396
C14.42(C22.D4) = D14.4SD16φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14.42(C2^2.D4)448,397
C14.43(C22.D4) = C4.Q8⋊D7φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14.43(C2^2.D4)448,400
C14.44(C22.D4) = C28.(C4○D4)φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14.44(C2^2.D4)448,401
C14.45(C22.D4) = D14.5D8φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14.45(C2^2.D4)448,416
C14.46(C22.D4) = D14.2Q16φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14.46(C2^2.D4)448,418
C14.47(C22.D4) = C2.D8⋊D7φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14.47(C2^2.D4)448,419
C14.48(C22.D4) = C2.D8⋊7D7φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14.48(C2^2.D4)448,422
C14.49(C22.D4) = C4⋊C4⋊5Dic7φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14448C14.49(C2^2.D4)448,515
C14.50(C22.D4) = (C2×C28).54D4φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14448C14.50(C2^2.D4)448,518
C14.51(C22.D4) = D14⋊C4⋊6C4φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14.51(C2^2.D4)448,523
C14.52(C22.D4) = D14⋊C4⋊7C4φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14.52(C2^2.D4)448,524
C14.53(C22.D4) = (C2×C4)⋊3D28φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14.53(C2^2.D4)448,525
C14.54(C22.D4) = (C2×C28).289D4φ: C22.D4/C4⋊C4 → C2 ⊆ Aut C14224C14.54(C2^2.D4)448,526
C14.55(C22.D4) = (C2×C42).D7φ: C22.D4/C22×C4 → C2 ⊆ Aut C14448C14.55(C2^2.D4)448,467
C14.56(C22.D4) = (C2×C42)⋊D7φ: C22.D4/C22×C4 → C2 ⊆ Aut C14224C14.56(C2^2.D4)448,474
C14.57(C22.D4) = C24.9D14φ: C22.D4/C22×C4 → C2 ⊆ Aut C14224C14.57(C2^2.D4)448,486
C14.58(C22.D4) = (C2×C14).40D8φ: C22.D4/C22×C4 → C2 ⊆ Aut C14224C14.58(C2^2.D4)448,501
C14.59(C22.D4) = C4⋊C4.228D14φ: C22.D4/C22×C4 → C2 ⊆ Aut C14224C14.59(C2^2.D4)448,502
C14.60(C22.D4) = C4⋊C4.230D14φ: C22.D4/C22×C4 → C2 ⊆ Aut C14224C14.60(C2^2.D4)448,504
C14.61(C22.D4) = C4⋊C4.231D14φ: C22.D4/C22×C4 → C2 ⊆ Aut C14224C14.61(C2^2.D4)448,505
C14.62(C22.D4) = (C2×C28).287D4φ: C22.D4/C22×C4 → C2 ⊆ Aut C14448C14.62(C2^2.D4)448,514
C14.63(C22.D4) = (C2×C28).288D4φ: C22.D4/C22×C4 → C2 ⊆ Aut C14448C14.63(C2^2.D4)448,516
C14.64(C22.D4) = (C2×C28).290D4φ: C22.D4/C22×C4 → C2 ⊆ Aut C14224C14.64(C2^2.D4)448,527
C14.65(C22.D4) = C4⋊C4.233D14φ: C22.D4/C22×C4 → C2 ⊆ Aut C14224C14.65(C2^2.D4)448,530
C14.66(C22.D4) = C4⋊C4.236D14φ: C22.D4/C22×C4 → C2 ⊆ Aut C14224C14.66(C2^2.D4)448,537
C14.67(C22.D4) = C24.62D14φ: C22.D4/C22×C4 → C2 ⊆ Aut C14224C14.67(C2^2.D4)448,744
C14.68(C22.D4) = C24.63D14φ: C22.D4/C22×C4 → C2 ⊆ Aut C14224C14.68(C2^2.D4)448,745
C14.69(C22.D4) = C23.28D28φ: C22.D4/C22×C4 → C2 ⊆ Aut C14224C14.69(C2^2.D4)448,747
C14.70(C22.D4) = C23.42D28φ: C22.D4/C2×D4 → C2 ⊆ Aut C14224C14.70(C2^2.D4)448,477
C14.71(C22.D4) = C24.3D14φ: C22.D4/C2×D4 → C2 ⊆ Aut C14224C14.71(C2^2.D4)448,478
C14.72(C22.D4) = C24.46D14φ: C22.D4/C2×D4 → C2 ⊆ Aut C14224C14.72(C2^2.D4)448,480
C14.73(C22.D4) = C24.10D14φ: C22.D4/C2×D4 → C2 ⊆ Aut C14224C14.73(C2^2.D4)448,487
C14.74(C22.D4) = C22.23(Q8×D7)φ: C22.D4/C2×D4 → C2 ⊆ Aut C14448C14.74(C2^2.D4)448,512
C14.75(C22.D4) = (C2×C4).44D28φ: C22.D4/C2×D4 → C2 ⊆ Aut C14448C14.75(C2^2.D4)448,517
C14.76(C22.D4) = (C2×C28).55D4φ: C22.D4/C2×D4 → C2 ⊆ Aut C14448C14.76(C2^2.D4)448,520
C14.77(C22.D4) = (C2×C14).D8φ: C22.D4/C2×D4 → C2 ⊆ Aut C14224C14.77(C2^2.D4)448,567
C14.78(C22.D4) = C4⋊D4.D7φ: C22.D4/C2×D4 → C2 ⊆ Aut C14224C14.78(C2^2.D4)448,568
C14.79(C22.D4) = (C2×D4).D14φ: C22.D4/C2×D4 → C2 ⊆ Aut C14224C14.79(C2^2.D4)448,569
C14.80(C22.D4) = C22⋊Q8.D7φ: C22.D4/C2×D4 → C2 ⊆ Aut C14224C14.80(C2^2.D4)448,577
C14.81(C22.D4) = (C2×C14).Q16φ: C22.D4/C2×D4 → C2 ⊆ Aut C14224C14.81(C2^2.D4)448,578
C14.82(C22.D4) = C14.(C4○D8)φ: C22.D4/C2×D4 → C2 ⊆ Aut C14224C14.82(C2^2.D4)448,579
C14.83(C22.D4) = C24.18D14φ: C22.D4/C2×D4 → C2 ⊆ Aut C14224C14.83(C2^2.D4)448,754
C14.84(C22.D4) = C24.20D14φ: C22.D4/C2×D4 → C2 ⊆ Aut C14224C14.84(C2^2.D4)448,756
C14.85(C22.D4) = C7×C23.34D4central extension (φ=1)224C14.85(C2^2.D4)448,789
C14.86(C22.D4) = C7×C23.8Q8central extension (φ=1)224C14.86(C2^2.D4)448,793
C14.87(C22.D4) = C7×C23.23D4central extension (φ=1)224C14.87(C2^2.D4)448,794
C14.88(C22.D4) = C7×C23.63C23central extension (φ=1)448C14.88(C2^2.D4)448,795
C14.89(C22.D4) = C7×C24.C22central extension (φ=1)224C14.89(C2^2.D4)448,796
C14.90(C22.D4) = C7×C23.10D4central extension (φ=1)224C14.90(C2^2.D4)448,802
C14.91(C22.D4) = C7×C23.11D4central extension (φ=1)224C14.91(C2^2.D4)448,805
C14.92(C22.D4) = C7×C23.81C23central extension (φ=1)448C14.92(C2^2.D4)448,806
C14.93(C22.D4) = C7×C23.4Q8central extension (φ=1)224C14.93(C2^2.D4)448,807
C14.94(C22.D4) = C7×C23.83C23central extension (φ=1)448C14.94(C2^2.D4)448,808
C14.95(C22.D4) = C7×C22.D8central extension (φ=1)224C14.95(C2^2.D4)448,888
C14.96(C22.D4) = C7×C23.46D4central extension (φ=1)224C14.96(C2^2.D4)448,889
C14.97(C22.D4) = C7×C23.19D4central extension (φ=1)224C14.97(C2^2.D4)448,890
C14.98(C22.D4) = C7×C23.47D4central extension (φ=1)224C14.98(C2^2.D4)448,891
C14.99(C22.D4) = C7×C23.48D4central extension (φ=1)224C14.99(C2^2.D4)448,892
C14.100(C22.D4) = C7×C23.20D4central extension (φ=1)224C14.100(C2^2.D4)448,893

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