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

Direct product G=N×Q with N=C22 and Q=D4×C14
dρLabelID
D4×C22×C14224D4xC2^2xC14448,1386

Semidirect products G=N:Q with N=C22 and Q=D4×C14
extensionφ:Q→Aut NdρLabelID
C221(D4×C14) = C14×C4⋊D4φ: D4×C14/C2×C28C2 ⊆ Aut C22224C2^2:1(D4xC14)448,1305
C222(D4×C14) = C7×D42φ: D4×C14/C7×D4C2 ⊆ Aut C22112C2^2:2(D4xC14)448,1328
C223(D4×C14) = C14×C22≀C2φ: D4×C14/C22×C14C2 ⊆ Aut C22112C2^2:3(D4xC14)448,1304

Non-split extensions G=N.Q with N=C22 and Q=D4×C14
extensionφ:Q→Aut NdρLabelID
C22.1(D4×C14) = C7×C22.26C24φ: D4×C14/C2×C28C2 ⊆ Aut C22224C2^2.1(D4xC14)448,1315
C22.2(D4×C14) = C7×C233D4φ: D4×C14/C2×C28C2 ⊆ Aut C22112C2^2.2(D4xC14)448,1317
C22.3(D4×C14) = C7×C22.31C24φ: D4×C14/C2×C28C2 ⊆ Aut C22224C2^2.3(D4xC14)448,1320
C22.4(D4×C14) = C14×C4○D8φ: D4×C14/C2×C28C2 ⊆ Aut C22224C2^2.4(D4xC14)448,1355
C22.5(D4×C14) = C7×D45D4φ: D4×C14/C7×D4C2 ⊆ Aut C22112C2^2.5(D4xC14)448,1329
C22.6(D4×C14) = C7×D46D4φ: D4×C14/C7×D4C2 ⊆ Aut C22224C2^2.6(D4xC14)448,1330
C22.7(D4×C14) = C7×D4○D8φ: D4×C14/C7×D4C2 ⊆ Aut C221124C2^2.7(D4xC14)448,1359
C22.8(D4×C14) = C7×D4○SD16φ: D4×C14/C7×D4C2 ⊆ Aut C221124C2^2.8(D4xC14)448,1360
C22.9(D4×C14) = C7×Q8○D8φ: D4×C14/C7×D4C2 ⊆ Aut C222244C2^2.9(D4xC14)448,1361
C22.10(D4×C14) = C14×C23⋊C4φ: D4×C14/C22×C14C2 ⊆ Aut C22112C2^2.10(D4xC14)448,817
C22.11(D4×C14) = C7×C23.C23φ: D4×C14/C22×C14C2 ⊆ Aut C221124C2^2.11(D4xC14)448,818
C22.12(D4×C14) = C14×C4≀C2φ: D4×C14/C22×C14C2 ⊆ Aut C22112C2^2.12(D4xC14)448,828
C22.13(D4×C14) = C7×C42⋊C22φ: D4×C14/C22×C14C2 ⊆ Aut C221124C2^2.13(D4xC14)448,829
C22.14(D4×C14) = C7×D44D4φ: D4×C14/C22×C14C2 ⊆ Aut C22564C2^2.14(D4xC14)448,861
C22.15(D4×C14) = C7×D4.8D4φ: D4×C14/C22×C14C2 ⊆ Aut C221124C2^2.15(D4xC14)448,862
C22.16(D4×C14) = C7×D4.9D4φ: D4×C14/C22×C14C2 ⊆ Aut C221124C2^2.16(D4xC14)448,863
C22.17(D4×C14) = C7×D4.10D4φ: D4×C14/C22×C14C2 ⊆ Aut C221124C2^2.17(D4xC14)448,864
C22.18(D4×C14) = C7×C2≀C22φ: D4×C14/C22×C14C2 ⊆ Aut C22564C2^2.18(D4xC14)448,865
C22.19(D4×C14) = C7×C23.7D4φ: D4×C14/C22×C14C2 ⊆ Aut C221124C2^2.19(D4xC14)448,866
C22.20(D4×C14) = C7×C22.19C24φ: D4×C14/C22×C14C2 ⊆ Aut C22112C2^2.20(D4xC14)448,1308
C22.21(D4×C14) = C7×C22.29C24φ: D4×C14/C22×C14C2 ⊆ Aut C22112C2^2.21(D4xC14)448,1318
C22.22(D4×C14) = C7×C23.38C23φ: D4×C14/C22×C14C2 ⊆ Aut C22224C2^2.22(D4xC14)448,1319
C22.23(D4×C14) = C14×C8⋊C22φ: D4×C14/C22×C14C2 ⊆ Aut C22112C2^2.23(D4xC14)448,1356
C22.24(D4×C14) = C14×C8.C22φ: D4×C14/C22×C14C2 ⊆ Aut C22224C2^2.24(D4xC14)448,1357
C22.25(D4×C14) = C7×D8⋊C22φ: D4×C14/C22×C14C2 ⊆ Aut C221124C2^2.25(D4xC14)448,1358
C22.26(D4×C14) = C14×C2.C42central extension (φ=1)448C2^2.26(D4xC14)448,783
C22.27(D4×C14) = C22⋊C4×C28central extension (φ=1)224C2^2.27(D4xC14)448,785
C22.28(D4×C14) = C4⋊C4×C28central extension (φ=1)448C2^2.28(D4xC14)448,786
C22.29(D4×C14) = C7×C243C4central extension (φ=1)112C2^2.29(D4xC14)448,787
C22.30(D4×C14) = C7×C23.7Q8central extension (φ=1)224C2^2.30(D4xC14)448,788
C22.31(D4×C14) = C7×C23.34D4central extension (φ=1)224C2^2.31(D4xC14)448,789
C22.32(D4×C14) = C7×C428C4central extension (φ=1)448C2^2.32(D4xC14)448,790
C22.33(D4×C14) = C7×C429C4central extension (φ=1)448C2^2.33(D4xC14)448,792
C22.34(D4×C14) = C7×C23.8Q8central extension (φ=1)224C2^2.34(D4xC14)448,793
C22.35(D4×C14) = C7×C23.23D4central extension (φ=1)224C2^2.35(D4xC14)448,794
C22.36(D4×C14) = C7×C23.63C23central extension (φ=1)448C2^2.36(D4xC14)448,795
C22.37(D4×C14) = C7×C24.C22central extension (φ=1)224C2^2.37(D4xC14)448,796
C22.38(D4×C14) = C7×C23.65C23central extension (φ=1)448C2^2.38(D4xC14)448,797
C22.39(D4×C14) = C7×C24.3C22central extension (φ=1)224C2^2.39(D4xC14)448,798
C22.40(D4×C14) = C7×C23.67C23central extension (φ=1)448C2^2.40(D4xC14)448,799
C22.41(D4×C14) = C14×D4⋊C4central extension (φ=1)224C2^2.41(D4xC14)448,822
C22.42(D4×C14) = C14×Q8⋊C4central extension (φ=1)448C2^2.42(D4xC14)448,823
C22.43(D4×C14) = C7×C23.24D4central extension (φ=1)224C2^2.43(D4xC14)448,824
C22.44(D4×C14) = C7×C23.36D4central extension (φ=1)224C2^2.44(D4xC14)448,825
C22.45(D4×C14) = C7×C23.37D4central extension (φ=1)112C2^2.45(D4xC14)448,826
C22.46(D4×C14) = C7×C23.38D4central extension (φ=1)224C2^2.46(D4xC14)448,827
C22.47(D4×C14) = C14×C4.Q8central extension (φ=1)448C2^2.47(D4xC14)448,833
C22.48(D4×C14) = C14×C2.D8central extension (φ=1)448C2^2.48(D4xC14)448,834
C22.49(D4×C14) = C7×C23.25D4central extension (φ=1)224C2^2.49(D4xC14)448,835
C22.50(D4×C14) = C7×M4(2)⋊C4central extension (φ=1)224C2^2.50(D4xC14)448,836
C22.51(D4×C14) = D8×C28central extension (φ=1)224C2^2.51(D4xC14)448,845
C22.52(D4×C14) = SD16×C28central extension (φ=1)224C2^2.52(D4xC14)448,846
C22.53(D4×C14) = Q16×C28central extension (φ=1)448C2^2.53(D4xC14)448,847
C22.54(D4×C14) = C7×SD16⋊C4central extension (φ=1)224C2^2.54(D4xC14)448,848
C22.55(D4×C14) = C7×Q16⋊C4central extension (φ=1)448C2^2.55(D4xC14)448,849
C22.56(D4×C14) = C7×D8⋊C4central extension (φ=1)224C2^2.56(D4xC14)448,850
C22.57(D4×C14) = C22⋊C4×C2×C14central extension (φ=1)224C2^2.57(D4xC14)448,1295
C22.58(D4×C14) = C4⋊C4×C2×C14central extension (φ=1)448C2^2.58(D4xC14)448,1296
C22.59(D4×C14) = D4×C2×C28central extension (φ=1)224C2^2.59(D4xC14)448,1298
C22.60(D4×C14) = C14×C22⋊Q8central extension (φ=1)224C2^2.60(D4xC14)448,1306
C22.61(D4×C14) = C14×C22.D4central extension (φ=1)224C2^2.61(D4xC14)448,1307
C22.62(D4×C14) = C14×C4.4D4central extension (φ=1)224C2^2.62(D4xC14)448,1309
C22.63(D4×C14) = C14×C41D4central extension (φ=1)224C2^2.63(D4xC14)448,1313
C22.64(D4×C14) = C14×C4⋊Q8central extension (φ=1)448C2^2.64(D4xC14)448,1314
C22.65(D4×C14) = D8×C2×C14central extension (φ=1)224C2^2.65(D4xC14)448,1352
C22.66(D4×C14) = SD16×C2×C14central extension (φ=1)224C2^2.66(D4xC14)448,1353
C22.67(D4×C14) = Q16×C2×C14central extension (φ=1)448C2^2.67(D4xC14)448,1354
C22.68(D4×C14) = C7×C232D4central stem extension (φ=1)224C2^2.68(D4xC14)448,800
C22.69(D4×C14) = C7×C23⋊Q8central stem extension (φ=1)224C2^2.69(D4xC14)448,801
C22.70(D4×C14) = C7×C23.10D4central stem extension (φ=1)224C2^2.70(D4xC14)448,802
C22.71(D4×C14) = C7×C23.78C23central stem extension (φ=1)448C2^2.71(D4xC14)448,803
C22.72(D4×C14) = C7×C23.Q8central stem extension (φ=1)224C2^2.72(D4xC14)448,804
C22.73(D4×C14) = C7×C23.11D4central stem extension (φ=1)224C2^2.73(D4xC14)448,805
C22.74(D4×C14) = C7×C23.81C23central stem extension (φ=1)448C2^2.74(D4xC14)448,806
C22.75(D4×C14) = C7×C23.4Q8central stem extension (φ=1)224C2^2.75(D4xC14)448,807
C22.76(D4×C14) = C7×C23.83C23central stem extension (φ=1)448C2^2.76(D4xC14)448,808
C22.77(D4×C14) = C7×C22⋊D8central stem extension (φ=1)112C2^2.77(D4xC14)448,855
C22.78(D4×C14) = C7×Q8⋊D4central stem extension (φ=1)224C2^2.78(D4xC14)448,856
C22.79(D4×C14) = C7×D4⋊D4central stem extension (φ=1)224C2^2.79(D4xC14)448,857
C22.80(D4×C14) = C7×C22⋊SD16central stem extension (φ=1)112C2^2.80(D4xC14)448,858
C22.81(D4×C14) = C7×C22⋊Q16central stem extension (φ=1)224C2^2.81(D4xC14)448,859
C22.82(D4×C14) = C7×D4.7D4central stem extension (φ=1)224C2^2.82(D4xC14)448,860
C22.83(D4×C14) = C7×C4⋊D8central stem extension (φ=1)224C2^2.83(D4xC14)448,867
C22.84(D4×C14) = C7×C4⋊SD16central stem extension (φ=1)224C2^2.84(D4xC14)448,868
C22.85(D4×C14) = C7×D4.D4central stem extension (φ=1)224C2^2.85(D4xC14)448,869
C22.86(D4×C14) = C7×C42Q16central stem extension (φ=1)448C2^2.86(D4xC14)448,870
C22.87(D4×C14) = C7×D4.2D4central stem extension (φ=1)224C2^2.87(D4xC14)448,871
C22.88(D4×C14) = C7×Q8.D4central stem extension (φ=1)224C2^2.88(D4xC14)448,872
C22.89(D4×C14) = C7×C88D4central stem extension (φ=1)224C2^2.89(D4xC14)448,873
C22.90(D4×C14) = C7×C87D4central stem extension (φ=1)224C2^2.90(D4xC14)448,874
C22.91(D4×C14) = C7×C8.18D4central stem extension (φ=1)224C2^2.91(D4xC14)448,875
C22.92(D4×C14) = C7×C8⋊D4central stem extension (φ=1)224C2^2.92(D4xC14)448,876
C22.93(D4×C14) = C7×C82D4central stem extension (φ=1)224C2^2.93(D4xC14)448,877
C22.94(D4×C14) = C7×C8.D4central stem extension (φ=1)224C2^2.94(D4xC14)448,878
C22.95(D4×C14) = C7×D4⋊Q8central stem extension (φ=1)224C2^2.95(D4xC14)448,882
C22.96(D4×C14) = C7×Q8⋊Q8central stem extension (φ=1)448C2^2.96(D4xC14)448,883
C22.97(D4×C14) = C7×D42Q8central stem extension (φ=1)224C2^2.97(D4xC14)448,884
C22.98(D4×C14) = C7×C4.Q16central stem extension (φ=1)448C2^2.98(D4xC14)448,885
C22.99(D4×C14) = C7×D4.Q8central stem extension (φ=1)224C2^2.99(D4xC14)448,886
C22.100(D4×C14) = C7×Q8.Q8central stem extension (φ=1)448C2^2.100(D4xC14)448,887
C22.101(D4×C14) = C7×C22.D8central stem extension (φ=1)224C2^2.101(D4xC14)448,888
C22.102(D4×C14) = C7×C23.46D4central stem extension (φ=1)224C2^2.102(D4xC14)448,889
C22.103(D4×C14) = C7×C23.19D4central stem extension (φ=1)224C2^2.103(D4xC14)448,890
C22.104(D4×C14) = C7×C23.47D4central stem extension (φ=1)224C2^2.104(D4xC14)448,891
C22.105(D4×C14) = C7×C23.48D4central stem extension (φ=1)224C2^2.105(D4xC14)448,892
C22.106(D4×C14) = C7×C23.20D4central stem extension (φ=1)224C2^2.106(D4xC14)448,893
C22.107(D4×C14) = C7×C4.4D8central stem extension (φ=1)224C2^2.107(D4xC14)448,894
C22.108(D4×C14) = C7×C4.SD16central stem extension (φ=1)448C2^2.108(D4xC14)448,895
C22.109(D4×C14) = C7×C42.78C22central stem extension (φ=1)224C2^2.109(D4xC14)448,896
C22.110(D4×C14) = C7×C42.28C22central stem extension (φ=1)224C2^2.110(D4xC14)448,897
C22.111(D4×C14) = C7×C42.29C22central stem extension (φ=1)224C2^2.111(D4xC14)448,898
C22.112(D4×C14) = C7×C42.30C22central stem extension (φ=1)448C2^2.112(D4xC14)448,899
C22.113(D4×C14) = C7×C85D4central stem extension (φ=1)224C2^2.113(D4xC14)448,900
C22.114(D4×C14) = C7×C84D4central stem extension (φ=1)224C2^2.114(D4xC14)448,901
C22.115(D4×C14) = C7×C4⋊Q16central stem extension (φ=1)448C2^2.115(D4xC14)448,902
C22.116(D4×C14) = C7×C8.12D4central stem extension (φ=1)224C2^2.116(D4xC14)448,903
C22.117(D4×C14) = C7×C83D4central stem extension (φ=1)224C2^2.117(D4xC14)448,904
C22.118(D4×C14) = C7×C8.2D4central stem extension (φ=1)224C2^2.118(D4xC14)448,905
C22.119(D4×C14) = C7×C83Q8central stem extension (φ=1)448C2^2.119(D4xC14)448,906
C22.120(D4×C14) = C7×C8.5Q8central stem extension (φ=1)448C2^2.120(D4xC14)448,907
C22.121(D4×C14) = C7×C82Q8central stem extension (φ=1)448C2^2.121(D4xC14)448,908
C22.122(D4×C14) = C7×C8⋊Q8central stem extension (φ=1)448C2^2.122(D4xC14)448,909

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