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Extensions 1→N→G→Q→1 with N=C14 and Q=C22⋊Q8

Direct product G=N×Q with N=C14 and Q=C22⋊Q8
dρLabelID
C14×C22⋊Q8224C14xC2^2:Q8448,1306

Semidirect products G=N:Q with N=C14 and Q=C22⋊Q8
extensionφ:Q→Aut NdρLabelID
C14⋊1(C22⋊Q8) = C2×C22⋊Dic14φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14224C14:1(C2^2:Q8)448,934
C14⋊2(C22⋊Q8) = C2×D14⋊Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14:2(C2^2:Q8)448,961
C14⋊3(C22⋊Q8) = C2×D14⋊2Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14:3(C2^2:Q8)448,962
C14⋊4(C22⋊Q8) = C2×C28.48D4φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14224C14:4(C2^2:Q8)448,1237
C14⋊5(C22⋊Q8) = C2×D14⋊3Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C14224C14:5(C2^2:Q8)448,1266

Non-split extensions G=N.Q with N=C14 and Q=C22⋊Q8
extensionφ:Q→Aut NdρLabelID
C14.1(C22⋊Q8) = (C2×C28)⋊Q8φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14448C14.1(C2^2:Q8)448,180
C14.2(C22⋊Q8) = C14.(C4×Q8)φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14448C14.2(C2^2:Q8)448,181
C14.3(C22⋊Q8) = C4⋊Dic7⋊8C4φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14448C14.3(C2^2:Q8)448,188
C14.4(C22⋊Q8) = C14.(C4×D4)φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14448C14.4(C2^2:Q8)448,189
C14.5(C22⋊Q8) = (C2×C4).Dic14φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14448C14.5(C2^2:Q8)448,194
C14.6(C22⋊Q8) = C14.(C4⋊Q8)φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14448C14.6(C2^2:Q8)448,195
C14.7(C22⋊Q8) = Dic7.D8φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14224C14.7(C2^2:Q8)448,293
C14.8(C22⋊Q8) = D4⋊Dic14φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14224C14.8(C2^2:Q8)448,295
C14.9(C22⋊Q8) = D4.Dic14φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14224C14.9(C2^2:Q8)448,297
C14.10(C22⋊Q8) = D4.2Dic14φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14224C14.10(C2^2:Q8)448,300
C14.11(C22⋊Q8) = Q8⋊Dic14φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14448C14.11(C2^2:Q8)448,325
C14.12(C22⋊Q8) = Dic7.Q16φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14448C14.12(C2^2:Q8)448,328
C14.13(C22⋊Q8) = Q8.Dic14φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14448C14.13(C2^2:Q8)448,330
C14.14(C22⋊Q8) = Q8.2Dic14φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14448C14.14(C2^2:Q8)448,333
C14.15(C22⋊Q8) = C24.44D14φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14224C14.15(C2^2:Q8)448,476
C14.16(C22⋊Q8) = C24.46D14φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14224C14.16(C2^2:Q8)448,480
C14.17(C22⋊Q8) = C24.47D14φ: C22⋊Q8/C22⋊C4 → C2 ⊆ Aut C14224C14.17(C2^2:Q8)448,484
C14.18(C22⋊Q8) = Dic7⋊C4⋊C4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.18(C2^2:Q8)448,186
C14.19(C22⋊Q8) = C4⋊Dic7⋊7C4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.19(C2^2:Q8)448,187
C14.20(C22⋊Q8) = (C2×Dic7)⋊Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.20(C2^2:Q8)448,190
C14.21(C22⋊Q8) = C2.(C28⋊Q8)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.21(C2^2:Q8)448,191
C14.22(C22⋊Q8) = (C2×Dic7).Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.22(C2^2:Q8)448,192
C14.23(C22⋊Q8) = (C2×C28).28D4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.23(C2^2:Q8)448,193
C14.24(C22⋊Q8) = D14⋊(C4⋊C4)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14.24(C2^2:Q8)448,201
C14.25(C22⋊Q8) = D14⋊C4⋊C4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14.25(C2^2:Q8)448,202
C14.26(C22⋊Q8) = (C2×C4).20D28φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14.26(C2^2:Q8)448,207
C14.27(C22⋊Q8) = (C22×D7).Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14.27(C2^2:Q8)448,210
C14.28(C22⋊Q8) = (C2×C28).33D4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14.28(C2^2:Q8)448,211
C14.29(C22⋊Q8) = Dic14.3Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.29(C2^2:Q8)448,363
C14.30(C22⋊Q8) = D28⋊3Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14.30(C2^2:Q8)448,376
C14.31(C22⋊Q8) = D28⋊4Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14.31(C2^2:Q8)448,380
C14.32(C22⋊Q8) = D28.3Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14.32(C2^2:Q8)448,381
C14.33(C22⋊Q8) = C28.7Q16φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.33(C2^2:Q8)448,384
C14.34(C22⋊Q8) = Dic14⋊4Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.34(C2^2:Q8)448,385
C14.35(C22⋊Q8) = Dic14⋊Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.35(C2^2:Q8)448,388
C14.36(C22⋊Q8) = Dic14.Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.36(C2^2:Q8)448,391
C14.37(C22⋊Q8) = D28⋊Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14.37(C2^2:Q8)448,404
C14.38(C22⋊Q8) = D28.Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14.38(C2^2:Q8)448,405
C14.39(C22⋊Q8) = Dic14⋊2Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.39(C2^2:Q8)448,409
C14.40(C22⋊Q8) = Dic14.2Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.40(C2^2:Q8)448,411
C14.41(C22⋊Q8) = D28⋊2Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14.41(C2^2:Q8)448,424
C14.42(C22⋊Q8) = D28.2Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14.42(C2^2:Q8)448,425
C14.43(C22⋊Q8) = Dic7⋊(C4⋊C4)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.43(C2^2:Q8)448,506
C14.44(C22⋊Q8) = (C2×Dic7)⋊6Q8φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.44(C2^2:Q8)448,508
C14.45(C22⋊Q8) = (C2×C28).287D4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.45(C2^2:Q8)448,514
C14.46(C22⋊Q8) = C4⋊C4⋊5Dic7φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.46(C2^2:Q8)448,515
C14.47(C22⋊Q8) = (C2×C4).44D28φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.47(C2^2:Q8)448,517
C14.48(C22⋊Q8) = C4⋊(C4⋊Dic7)φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14448C14.48(C2^2:Q8)448,519
C14.49(C22⋊Q8) = D14⋊C4⋊6C4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14.49(C2^2:Q8)448,523
C14.50(C22⋊Q8) = (C2×C28).289D4φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14.50(C2^2:Q8)448,526
C14.51(C22⋊Q8) = (C2×C4).45D28φ: C22⋊Q8/C4⋊C4 → C2 ⊆ Aut C14224C14.51(C2^2:Q8)448,528
C14.52(C22⋊Q8) = C28⋊4(C4⋊C4)φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14448C14.52(C2^2:Q8)448,462
C14.53(C22⋊Q8) = (C2×C28)⋊10Q8φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14448C14.53(C2^2:Q8)448,463
C14.54(C22⋊Q8) = (C2×C42).D7φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14448C14.54(C2^2:Q8)448,467
C14.55(C22⋊Q8) = C23⋊Dic14φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14224C14.55(C2^2:Q8)448,481
C14.56(C22⋊Q8) = C24.6D14φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14224C14.56(C2^2:Q8)448,482
C14.57(C22⋊Q8) = C24.7D14φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14224C14.57(C2^2:Q8)448,483
C14.58(C22⋊Q8) = (C2×C4)⋊Dic14φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14448C14.58(C2^2:Q8)448,513
C14.59(C22⋊Q8) = (C2×C28).54D4φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14448C14.59(C2^2:Q8)448,518
C14.60(C22⋊Q8) = (C2×C28).55D4φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14448C14.60(C2^2:Q8)448,520
C14.61(C22⋊Q8) = C28.50D8φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14224C14.61(C2^2:Q8)448,541
C14.62(C22⋊Q8) = C28.38SD16φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14224C14.62(C2^2:Q8)448,542
C14.63(C22⋊Q8) = D4.3Dic14φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14224C14.63(C2^2:Q8)448,543
C14.64(C22⋊Q8) = C28.48SD16φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14448C14.64(C2^2:Q8)448,554
C14.65(C22⋊Q8) = C28.23Q16φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14448C14.65(C2^2:Q8)448,555
C14.66(C22⋊Q8) = Q8.3Dic14φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14448C14.66(C2^2:Q8)448,556
C14.67(C22⋊Q8) = C24.62D14φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14224C14.67(C2^2:Q8)448,744
C14.68(C22⋊Q8) = C23.27D28φ: C22⋊Q8/C22×C4 → C2 ⊆ Aut C14224C14.68(C2^2:Q8)448,746
C14.69(C22⋊Q8) = C28⋊(C4⋊C4)φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.69(C2^2:Q8)448,507
C14.70(C22⋊Q8) = C22.23(Q8×D7)φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.70(C2^2:Q8)448,512
C14.71(C22⋊Q8) = (C2×C28).288D4φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.71(C2^2:Q8)448,516
C14.72(C22⋊Q8) = C4⋊(D14⋊C4)φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C14224C14.72(C2^2:Q8)448,521
C14.73(C22⋊Q8) = Dic14.4Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.73(C2^2:Q8)448,597
C14.74(C22⋊Q8) = D28.4Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C14224C14.74(C2^2:Q8)448,600
C14.75(C22⋊Q8) = D28⋊5Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C14224C14.75(C2^2:Q8)448,618
C14.76(C22⋊Q8) = D28⋊6Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C14224C14.76(C2^2:Q8)448,621
C14.77(C22⋊Q8) = Dic14⋊5Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.77(C2^2:Q8)448,625
C14.78(C22⋊Q8) = Dic14⋊6Q8φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.78(C2^2:Q8)448,628
C14.79(C22⋊Q8) = C14.C22≀C2φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.79(C2^2:Q8)448,763
C14.80(C22⋊Q8) = (Q8×C14)⋊7C4φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C14448C14.80(C2^2:Q8)448,764
C14.81(C22⋊Q8) = (C22×Q8)⋊D7φ: C22⋊Q8/C2×Q8 → C2 ⊆ Aut C14224C14.81(C2^2:Q8)448,765
C14.82(C22⋊Q8) = C7×C23.7Q8central extension (φ=1)224C14.82(C2^2:Q8)448,788
C14.83(C22⋊Q8) = C7×C23.8Q8central extension (φ=1)224C14.83(C2^2:Q8)448,793
C14.84(C22⋊Q8) = C7×C23.63C23central extension (φ=1)448C14.84(C2^2:Q8)448,795
C14.85(C22⋊Q8) = C7×C23.65C23central extension (φ=1)448C14.85(C2^2:Q8)448,797
C14.86(C22⋊Q8) = C7×C23.67C23central extension (φ=1)448C14.86(C2^2:Q8)448,799
C14.87(C22⋊Q8) = C7×C23⋊Q8central extension (φ=1)224C14.87(C2^2:Q8)448,801
C14.88(C22⋊Q8) = C7×C23.78C23central extension (φ=1)448C14.88(C2^2:Q8)448,803
C14.89(C22⋊Q8) = C7×C23.Q8central extension (φ=1)224C14.89(C2^2:Q8)448,804
C14.90(C22⋊Q8) = C7×C23.81C23central extension (φ=1)448C14.90(C2^2:Q8)448,806
C14.91(C22⋊Q8) = C7×C23.4Q8central extension (φ=1)224C14.91(C2^2:Q8)448,807
C14.92(C22⋊Q8) = C7×C23.83C23central extension (φ=1)448C14.92(C2^2:Q8)448,808
C14.93(C22⋊Q8) = C7×D4⋊Q8central extension (φ=1)224C14.93(C2^2:Q8)448,882
C14.94(C22⋊Q8) = C7×Q8⋊Q8central extension (φ=1)448C14.94(C2^2:Q8)448,883
C14.95(C22⋊Q8) = C7×D4⋊2Q8central extension (φ=1)224C14.95(C2^2:Q8)448,884
C14.96(C22⋊Q8) = C7×C4.Q16central extension (φ=1)448C14.96(C2^2:Q8)448,885
C14.97(C22⋊Q8) = C7×D4.Q8central extension (φ=1)224C14.97(C2^2:Q8)448,886
C14.98(C22⋊Q8) = C7×Q8.Q8central extension (φ=1)448C14.98(C2^2:Q8)448,887

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