Extensions 1→N→G→Q→1 with N=C22 and Q=C2xC4xD7

Direct product G=NxQ with N=C22 and Q=C2xC4xD7
dρLabelID
D7xC23xC4224D7xC2^3xC4448,1366

Semidirect products G=N:Q with N=C22 and Q=C2xC4xD7
extensionφ:Q→Aut NdρLabelID
C22:1(C2xC4xD7) = C4xD4xD7φ: C2xC4xD7/C4xD7C2 ⊆ Aut C22112C2^2:1(C2xC4xD7)448,997
C22:2(C2xC4xD7) = C2xDic7:4D4φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C22224C2^2:2(C2xC4xD7)448,938
C22:3(C2xC4xD7) = C2xC4xC7:D4φ: C2xC4xD7/C2xC28C2 ⊆ Aut C22224C2^2:3(C2xC4xD7)448,1241
C22:4(C2xC4xD7) = C2xD7xC22:C4φ: C2xC4xD7/C22xD7C2 ⊆ Aut C22112C2^2:4(C2xC4xD7)448,937

Non-split extensions G=N.Q with N=C22 and Q=C2xC4xD7
extensionφ:Q→Aut NdρLabelID
C22.1(C2xC4xD7) = C4xD4:2D7φ: C2xC4xD7/C4xD7C2 ⊆ Aut C22224C2^2.1(C2xC4xD7)448,989
C22.2(C2xC4xD7) = C42:11D14φ: C2xC4xD7/C4xD7C2 ⊆ Aut C22112C2^2.2(C2xC4xD7)448,998
C22.3(C2xC4xD7) = C42.108D14φ: C2xC4xD7/C4xD7C2 ⊆ Aut C22224C2^2.3(C2xC4xD7)448,999
C22.4(C2xC4xD7) = D7xC8oD4φ: C2xC4xD7/C4xD7C2 ⊆ Aut C221124C2^2.4(C2xC4xD7)448,1202
C22.5(C2xC4xD7) = C56.49C23φ: C2xC4xD7/C4xD7C2 ⊆ Aut C221124C2^2.5(C2xC4xD7)448,1203
C22.6(C2xC4xD7) = C42.188D14φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C22224C2^2.6(C2xC4xD7)448,975
C22.7(C2xC4xD7) = C42.91D14φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C22224C2^2.7(C2xC4xD7)448,976
C22.8(C2xC4xD7) = C2xD28.C4φ: C2xC4xD7/C2xDic7C2 ⊆ Aut C22224C2^2.8(C2xC4xD7)448,1197
C22.9(C2xC4xD7) = C4xC4oD28φ: C2xC4xD7/C2xC28C2 ⊆ Aut C22224C2^2.9(C2xC4xD7)448,927
C22.10(C2xC4xD7) = C14.82+ 1+4φ: C2xC4xD7/C2xC28C2 ⊆ Aut C22224C2^2.10(C2xC4xD7)448,957
C22.11(C2xC4xD7) = C2xD28.2C4φ: C2xC4xD7/C2xC28C2 ⊆ Aut C22224C2^2.11(C2xC4xD7)448,1191
C22.12(C2xC4xD7) = C23:C4:5D7φ: C2xC4xD7/C22xD7C2 ⊆ Aut C221128-C2^2.12(C2xC4xD7)448,274
C22.13(C2xC4xD7) = D7xC23:C4φ: C2xC4xD7/C22xD7C2 ⊆ Aut C22568+C2^2.13(C2xC4xD7)448,277
C22.14(C2xC4xD7) = D7xC4.D4φ: C2xC4xD7/C22xD7C2 ⊆ Aut C22568+C2^2.14(C2xC4xD7)448,278
C22.15(C2xC4xD7) = M4(2).19D14φ: C2xC4xD7/C22xD7C2 ⊆ Aut C221128-C2^2.15(C2xC4xD7)448,279
C22.16(C2xC4xD7) = D7xC4.10D4φ: C2xC4xD7/C22xD7C2 ⊆ Aut C221128-C2^2.16(C2xC4xD7)448,284
C22.17(C2xC4xD7) = M4(2).21D14φ: C2xC4xD7/C22xD7C2 ⊆ Aut C221128+C2^2.17(C2xC4xD7)448,285
C22.18(C2xC4xD7) = C2xC23.1D14φ: C2xC4xD7/C22xD7C2 ⊆ Aut C22112C2^2.18(C2xC4xD7)448,488
C22.19(C2xC4xD7) = (C2xD28):13C4φ: C2xC4xD7/C22xD7C2 ⊆ Aut C221124C2^2.19(C2xC4xD7)448,540
C22.20(C2xC4xD7) = C2xC28.46D4φ: C2xC4xD7/C22xD7C2 ⊆ Aut C22112C2^2.20(C2xC4xD7)448,664
C22.21(C2xC4xD7) = M4(2).31D14φ: C2xC4xD7/C22xD7C2 ⊆ Aut C221124C2^2.21(C2xC4xD7)448,666
C22.22(C2xC4xD7) = C2xC4.12D28φ: C2xC4xD7/C22xD7C2 ⊆ Aut C22224C2^2.22(C2xC4xD7)448,670
C22.23(C2xC4xD7) = C2xC23.11D14φ: C2xC4xD7/C22xD7C2 ⊆ Aut C22224C2^2.23(C2xC4xD7)448,933
C22.24(C2xC4xD7) = C24.24D14φ: C2xC4xD7/C22xD7C2 ⊆ Aut C22112C2^2.24(C2xC4xD7)448,939
C22.25(C2xC4xD7) = C42.87D14φ: C2xC4xD7/C22xD7C2 ⊆ Aut C22224C2^2.25(C2xC4xD7)448,969
C22.26(C2xC4xD7) = D7xC42:C2φ: C2xC4xD7/C22xD7C2 ⊆ Aut C22112C2^2.26(C2xC4xD7)448,973
C22.27(C2xC4xD7) = C42:7D14φ: C2xC4xD7/C22xD7C2 ⊆ Aut C22112C2^2.27(C2xC4xD7)448,974
C22.28(C2xC4xD7) = C28.70C24φ: C2xC4xD7/C22xD7C2 ⊆ Aut C221124C2^2.28(C2xC4xD7)448,1198
C22.29(C2xC4xD7) = Dic7.5C42central extension (φ=1)448C2^2.29(C2xC4xD7)448,182
C22.30(C2xC4xD7) = Dic7:C42central extension (φ=1)448C2^2.30(C2xC4xD7)448,183
C22.31(C2xC4xD7) = D7xC2.C42central extension (φ=1)224C2^2.31(C2xC4xD7)448,197
C22.32(C2xC4xD7) = D14:C42central extension (φ=1)224C2^2.32(C2xC4xD7)448,200
C22.33(C2xC4xD7) = C8xDic14central extension (φ=1)448C2^2.33(C2xC4xD7)448,212
C22.34(C2xC4xD7) = D7xC4xC8central extension (φ=1)224C2^2.34(C2xC4xD7)448,218
C22.35(C2xC4xD7) = C42.282D14central extension (φ=1)224C2^2.35(C2xC4xD7)448,219
C22.36(C2xC4xD7) = C8xD28central extension (φ=1)224C2^2.36(C2xC4xD7)448,220
C22.37(C2xC4xD7) = C4xC8:D7central extension (φ=1)224C2^2.37(C2xC4xD7)448,221
C22.38(C2xC4xD7) = D14.C42central extension (φ=1)224C2^2.38(C2xC4xD7)448,223
C22.39(C2xC4xD7) = D7xC8:C4central extension (φ=1)224C2^2.39(C2xC4xD7)448,238
C22.40(C2xC4xD7) = Dic7.C42central extension (φ=1)224C2^2.40(C2xC4xD7)448,241
C22.41(C2xC4xD7) = D14.4C42central extension (φ=1)224C2^2.41(C2xC4xD7)448,242
C22.42(C2xC4xD7) = Dic7.5M4(2)central extension (φ=1)224C2^2.42(C2xC4xD7)448,252
C22.43(C2xC4xD7) = D7xC22:C8central extension (φ=1)112C2^2.43(C2xC4xD7)448,258
C22.44(C2xC4xD7) = C7:D4:C8central extension (φ=1)224C2^2.44(C2xC4xD7)448,259
C22.45(C2xC4xD7) = Dic14:C8central extension (φ=1)448C2^2.45(C2xC4xD7)448,364
C22.46(C2xC4xD7) = D7xC4:C8central extension (φ=1)224C2^2.46(C2xC4xD7)448,366
C22.47(C2xC4xD7) = C42.200D14central extension (φ=1)224C2^2.47(C2xC4xD7)448,367
C22.48(C2xC4xD7) = D28:C8central extension (φ=1)224C2^2.48(C2xC4xD7)448,368
C22.49(C2xC4xD7) = C42xDic7central extension (φ=1)448C2^2.49(C2xC4xD7)448,464
C22.50(C2xC4xD7) = C4xDic7:C4central extension (φ=1)448C2^2.50(C2xC4xD7)448,465
C22.51(C2xC4xD7) = C42:4Dic7central extension (φ=1)448C2^2.51(C2xC4xD7)448,466
C22.52(C2xC4xD7) = C4xC4:Dic7central extension (φ=1)448C2^2.52(C2xC4xD7)448,468
C22.53(C2xC4xD7) = C4xD14:C4central extension (φ=1)224C2^2.53(C2xC4xD7)448,472
C22.54(C2xC4xD7) = C22:C4xDic7central extension (φ=1)224C2^2.54(C2xC4xD7)448,475
C22.55(C2xC4xD7) = C4:C4xDic7central extension (φ=1)448C2^2.55(C2xC4xD7)448,509
C22.56(C2xC4xD7) = C2xC8xDic7central extension (φ=1)448C2^2.56(C2xC4xD7)448,632
C22.57(C2xC4xD7) = C2xDic7:C8central extension (φ=1)448C2^2.57(C2xC4xD7)448,633
C22.58(C2xC4xD7) = C2xC56:C4central extension (φ=1)448C2^2.58(C2xC4xD7)448,634
C22.59(C2xC4xD7) = C28.12C42central extension (φ=1)224C2^2.59(C2xC4xD7)448,635
C22.60(C2xC4xD7) = C2xD14:C8central extension (φ=1)224C2^2.60(C2xC4xD7)448,642
C22.61(C2xC4xD7) = C8xC7:D4central extension (φ=1)224C2^2.61(C2xC4xD7)448,643
C22.62(C2xC4xD7) = M4(2)xDic7central extension (φ=1)224C2^2.62(C2xC4xD7)448,651
C22.63(C2xC4xD7) = C28.7C42central extension (φ=1)224C2^2.63(C2xC4xD7)448,656
C22.64(C2xC4xD7) = C2xC14.C42central extension (φ=1)448C2^2.64(C2xC4xD7)448,742
C22.65(C2xC4xD7) = C4xC23.D7central extension (φ=1)224C2^2.65(C2xC4xD7)448,743
C22.66(C2xC4xD7) = C2xC4xDic14central extension (φ=1)448C2^2.66(C2xC4xD7)448,920
C22.67(C2xC4xD7) = D7xC2xC42central extension (φ=1)224C2^2.67(C2xC4xD7)448,924
C22.68(C2xC4xD7) = C2xC42:D7central extension (φ=1)224C2^2.68(C2xC4xD7)448,925
C22.69(C2xC4xD7) = C2xC4xD28central extension (φ=1)224C2^2.69(C2xC4xD7)448,926
C22.70(C2xC4xD7) = C2xDic7:3Q8central extension (φ=1)448C2^2.70(C2xC4xD7)448,949
C22.71(C2xC4xD7) = C2xD7xC4:C4central extension (φ=1)224C2^2.71(C2xC4xD7)448,954
C22.72(C2xC4xD7) = C2xC4:C4:7D7central extension (φ=1)224C2^2.72(C2xC4xD7)448,955
C22.73(C2xC4xD7) = C2xD28:C4central extension (φ=1)224C2^2.73(C2xC4xD7)448,956
C22.74(C2xC4xD7) = D7xC22xC8central extension (φ=1)224C2^2.74(C2xC4xD7)448,1189
C22.75(C2xC4xD7) = C22xC8:D7central extension (φ=1)224C2^2.75(C2xC4xD7)448,1190
C22.76(C2xC4xD7) = C2xD7xM4(2)central extension (φ=1)112C2^2.76(C2xC4xD7)448,1196
C22.77(C2xC4xD7) = C22xC4xDic7central extension (φ=1)448C2^2.77(C2xC4xD7)448,1235
C22.78(C2xC4xD7) = C22xDic7:C4central extension (φ=1)448C2^2.78(C2xC4xD7)448,1236
C22.79(C2xC4xD7) = C22xD14:C4central extension (φ=1)224C2^2.79(C2xC4xD7)448,1240
C22.80(C2xC4xD7) = (C2xC28):Q8central stem extension (φ=1)448C2^2.80(C2xC4xD7)448,180
C22.81(C2xC4xD7) = C14.(C4xQ8)central stem extension (φ=1)448C2^2.81(C2xC4xD7)448,181
C22.82(C2xC4xD7) = C7:(C42:8C4)central stem extension (φ=1)448C2^2.82(C2xC4xD7)448,184
C22.83(C2xC4xD7) = C7:(C42:5C4)central stem extension (φ=1)448C2^2.83(C2xC4xD7)448,185
C22.84(C2xC4xD7) = Dic7:C4:C4central stem extension (φ=1)448C2^2.84(C2xC4xD7)448,186
C22.85(C2xC4xD7) = C4:Dic7:7C4central stem extension (φ=1)448C2^2.85(C2xC4xD7)448,187
C22.86(C2xC4xD7) = C4:Dic7:8C4central stem extension (φ=1)448C2^2.86(C2xC4xD7)448,188
C22.87(C2xC4xD7) = C14.(C4xD4)central stem extension (φ=1)448C2^2.87(C2xC4xD7)448,189
C22.88(C2xC4xD7) = C22.58(D4xD7)central stem extension (φ=1)224C2^2.88(C2xC4xD7)448,198
C22.89(C2xC4xD7) = (C2xC4):9D28central stem extension (φ=1)224C2^2.89(C2xC4xD7)448,199
C22.90(C2xC4xD7) = D14:(C4:C4)central stem extension (φ=1)224C2^2.90(C2xC4xD7)448,201
C22.91(C2xC4xD7) = D14:C4:C4central stem extension (φ=1)224C2^2.91(C2xC4xD7)448,202
C22.92(C2xC4xD7) = D14:C4:5C4central stem extension (φ=1)224C2^2.92(C2xC4xD7)448,203
C22.93(C2xC4xD7) = C2.(C4xD28)central stem extension (φ=1)224C2^2.93(C2xC4xD7)448,204
C22.94(C2xC4xD7) = C56:11Q8central stem extension (φ=1)448C2^2.94(C2xC4xD7)448,213
C22.95(C2xC4xD7) = C8:6D28central stem extension (φ=1)224C2^2.95(C2xC4xD7)448,222
C22.96(C2xC4xD7) = C42.243D14central stem extension (φ=1)224C2^2.96(C2xC4xD7)448,224
C22.97(C2xC4xD7) = C56:Q8central stem extension (φ=1)448C2^2.97(C2xC4xD7)448,235
C22.98(C2xC4xD7) = C42.182D14central stem extension (φ=1)224C2^2.98(C2xC4xD7)448,239
C22.99(C2xC4xD7) = C8:9D28central stem extension (φ=1)224C2^2.99(C2xC4xD7)448,240
C22.100(C2xC4xD7) = C42.185D14central stem extension (φ=1)224C2^2.100(C2xC4xD7)448,243
C22.101(C2xC4xD7) = Dic7.M4(2)central stem extension (φ=1)224C2^2.101(C2xC4xD7)448,253
C22.102(C2xC4xD7) = C56:C4:C2central stem extension (φ=1)224C2^2.102(C2xC4xD7)448,254
C22.103(C2xC4xD7) = D14:M4(2)central stem extension (φ=1)112C2^2.103(C2xC4xD7)448,260
C22.104(C2xC4xD7) = D14:C8:C2central stem extension (φ=1)224C2^2.104(C2xC4xD7)448,261
C22.105(C2xC4xD7) = D14:2M4(2)central stem extension (φ=1)224C2^2.105(C2xC4xD7)448,262
C22.106(C2xC4xD7) = Dic7:M4(2)central stem extension (φ=1)224C2^2.106(C2xC4xD7)448,263
C22.107(C2xC4xD7) = C7:C8:26D4central stem extension (φ=1)224C2^2.107(C2xC4xD7)448,264
C22.108(C2xC4xD7) = C42.27D14central stem extension (φ=1)448C2^2.108(C2xC4xD7)448,362
C22.109(C2xC4xD7) = C28.M4(2)central stem extension (φ=1)448C2^2.109(C2xC4xD7)448,365
C22.110(C2xC4xD7) = C42.202D14central stem extension (φ=1)224C2^2.110(C2xC4xD7)448,369
C22.111(C2xC4xD7) = D14:3M4(2)central stem extension (φ=1)224C2^2.111(C2xC4xD7)448,370
C22.112(C2xC4xD7) = C28:M4(2)central stem extension (φ=1)224C2^2.112(C2xC4xD7)448,371
C22.113(C2xC4xD7) = C28:2M4(2)central stem extension (φ=1)224C2^2.113(C2xC4xD7)448,372
C22.114(C2xC4xD7) = C42.30D14central stem extension (φ=1)224C2^2.114(C2xC4xD7)448,373
C22.115(C2xC4xD7) = C42.31D14central stem extension (φ=1)224C2^2.115(C2xC4xD7)448,374
C22.116(C2xC4xD7) = C28:4(C4:C4)central stem extension (φ=1)448C2^2.116(C2xC4xD7)448,462
C22.117(C2xC4xD7) = (C2xC28):10Q8central stem extension (φ=1)448C2^2.117(C2xC4xD7)448,463
C22.118(C2xC4xD7) = (C2xC42).D7central stem extension (φ=1)448C2^2.118(C2xC4xD7)448,467
C22.119(C2xC4xD7) = (C2xC4):6D28central stem extension (φ=1)224C2^2.119(C2xC4xD7)448,473
C22.120(C2xC4xD7) = (C2xC42):D7central stem extension (φ=1)224C2^2.120(C2xC4xD7)448,474
C22.121(C2xC4xD7) = C24.44D14central stem extension (φ=1)224C2^2.121(C2xC4xD7)448,476
C22.122(C2xC4xD7) = C23.42D28central stem extension (φ=1)224C2^2.122(C2xC4xD7)448,477
C22.123(C2xC4xD7) = C24.3D14central stem extension (φ=1)224C2^2.123(C2xC4xD7)448,478
C22.124(C2xC4xD7) = C24.4D14central stem extension (φ=1)224C2^2.124(C2xC4xD7)448,479
C22.125(C2xC4xD7) = C24.46D14central stem extension (φ=1)224C2^2.125(C2xC4xD7)448,480
C22.126(C2xC4xD7) = C23.44D28central stem extension (φ=1)112C2^2.126(C2xC4xD7)448,489
C22.127(C2xC4xD7) = C24.12D14central stem extension (φ=1)224C2^2.127(C2xC4xD7)448,490
C22.128(C2xC4xD7) = C24.13D14central stem extension (φ=1)224C2^2.128(C2xC4xD7)448,491
C22.129(C2xC4xD7) = C23.45D28central stem extension (φ=1)224C2^2.129(C2xC4xD7)448,492
C22.130(C2xC4xD7) = Dic7:(C4:C4)central stem extension (φ=1)448C2^2.130(C2xC4xD7)448,506
C22.131(C2xC4xD7) = C28:(C4:C4)central stem extension (φ=1)448C2^2.131(C2xC4xD7)448,507
C22.132(C2xC4xD7) = (C2xDic7):6Q8central stem extension (φ=1)448C2^2.132(C2xC4xD7)448,508
C22.133(C2xC4xD7) = (C4xDic7):8C4central stem extension (φ=1)448C2^2.133(C2xC4xD7)448,510
C22.134(C2xC4xD7) = (C4xDic7):9C4central stem extension (φ=1)448C2^2.134(C2xC4xD7)448,511
C22.135(C2xC4xD7) = C22.23(Q8xD7)central stem extension (φ=1)448C2^2.135(C2xC4xD7)448,512
C22.136(C2xC4xD7) = C4:(D14:C4)central stem extension (φ=1)224C2^2.136(C2xC4xD7)448,521
C22.137(C2xC4xD7) = (C2xD28):10C4central stem extension (φ=1)224C2^2.137(C2xC4xD7)448,522
C22.138(C2xC4xD7) = D14:C4:6C4central stem extension (φ=1)224C2^2.138(C2xC4xD7)448,523
C22.139(C2xC4xD7) = D14:C4:7C4central stem extension (φ=1)224C2^2.139(C2xC4xD7)448,524
C22.140(C2xC4xD7) = Dic7:C8:C2central stem extension (φ=1)224C2^2.140(C2xC4xD7)448,636
C22.141(C2xC4xD7) = (C22xC8):D7central stem extension (φ=1)224C2^2.141(C2xC4xD7)448,644
C22.142(C2xC4xD7) = C56:32D4central stem extension (φ=1)224C2^2.142(C2xC4xD7)448,645
C22.143(C2xC4xD7) = Dic7:4M4(2)central stem extension (φ=1)224C2^2.143(C2xC4xD7)448,652
C22.144(C2xC4xD7) = C28.439(C2xD4)central stem extension (φ=1)224C2^2.144(C2xC4xD7)448,653
C22.145(C2xC4xD7) = D14:6M4(2)central stem extension (φ=1)112C2^2.145(C2xC4xD7)448,660
C22.146(C2xC4xD7) = C56:D4central stem extension (φ=1)224C2^2.146(C2xC4xD7)448,661
C22.147(C2xC4xD7) = C56:18D4central stem extension (φ=1)224C2^2.147(C2xC4xD7)448,662
C22.148(C2xC4xD7) = (C2xD28).14C4central stem extension (φ=1)224C2^2.148(C2xC4xD7)448,663
C22.149(C2xC4xD7) = C24.62D14central stem extension (φ=1)224C2^2.149(C2xC4xD7)448,744
C22.150(C2xC4xD7) = C23.28D28central stem extension (φ=1)224C2^2.150(C2xC4xD7)448,747

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