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Extensions 1→N→G→Q→1 with N=C22 and Q=C2×D28

Direct product G=N×Q with N=C22 and Q=C2×D28
dρLabelID
C23×D28224C2^3xD28448,1367

Semidirect products G=N:Q with N=C22 and Q=C2×D28
extensionφ:Q→Aut NdρLabelID
C22⋊1(C2×D28) = D4×D28φ: C2×D28/D28 → C2 ⊆ Aut C22112C2^2:1(C2xD28)448,1002
C22⋊2(C2×D28) = C2×C28⋊7D4φ: C2×D28/C2×C28 → C2 ⊆ Aut C22224C2^2:2(C2xD28)448,1243
C22⋊3(C2×D28) = C2×C22⋊D28φ: C2×D28/C22×D7 → C2 ⊆ Aut C22112C2^2:3(C2xD28)448,940

Non-split extensions G=N.Q with N=C22 and Q=C2×D28
extensionφ:Q→Aut NdρLabelID
C22.1(C2×D28) = D4⋊5D28φ: C2×D28/D28 → C2 ⊆ Aut C22112C2^2.1(C2xD28)448,1007
C22.2(C2×D28) = D4⋊6D28φ: C2×D28/D28 → C2 ⊆ Aut C22224C2^2.2(C2xD28)448,1008
C22.3(C2×D28) = D4.11D28φ: C2×D28/D28 → C2 ⊆ Aut C221124C2^2.3(C2xD28)448,1204
C22.4(C2×D28) = D4.12D28φ: C2×D28/D28 → C2 ⊆ Aut C221124+C2^2.4(C2xD28)448,1205
C22.5(C2×D28) = D4.13D28φ: C2×D28/D28 → C2 ⊆ Aut C222244-C2^2.5(C2xD28)448,1206
C22.6(C2×D28) = C42.276D14φ: C2×D28/C2×C28 → C2 ⊆ Aut C22224C2^2.6(C2xD28)448,930
C22.7(C2×D28) = C14.2+ 1+4φ: C2×D28/C2×C28 → C2 ⊆ Aut C22224C2^2.7(C2xD28)448,963
C22.8(C2×D28) = C23⋊D28φ: C2×D28/C22×D7 → C2 ⊆ Aut C22568+C2^2.8(C2xD28)448,275
C22.9(C2×D28) = C23.5D28φ: C2×D28/C22×D7 → C2 ⊆ Aut C221128-C2^2.9(C2xD28)448,276
C22.10(C2×D28) = D28.1D4φ: C2×D28/C22×D7 → C2 ⊆ Aut C221128-C2^2.10(C2xD28)448,280
C22.11(C2×D28) = D28⋊1D4φ: C2×D28/C22×D7 → C2 ⊆ Aut C22568+C2^2.11(C2xD28)448,281
C22.12(C2×D28) = D28.4D4φ: C2×D28/C22×D7 → C2 ⊆ Aut C221128-C2^2.12(C2xD28)448,286
C22.13(C2×D28) = D28.5D4φ: C2×D28/C22×D7 → C2 ⊆ Aut C221128+C2^2.13(C2xD28)448,287
C22.14(C2×D28) = C2×C23.1D14φ: C2×D28/C22×D7 → C2 ⊆ Aut C22112C2^2.14(C2xD28)448,488
C22.15(C2×D28) = (C2×D28)⋊13C4φ: C2×D28/C22×D7 → C2 ⊆ Aut C221124C2^2.15(C2xD28)448,540
C22.16(C2×D28) = C2×D28⋊4C4φ: C2×D28/C22×D7 → C2 ⊆ Aut C22112C2^2.16(C2xD28)448,672
C22.17(C2×D28) = C23.20D28φ: C2×D28/C22×D7 → C2 ⊆ Aut C221124C2^2.17(C2xD28)448,673
C22.18(C2×D28) = C23⋊3D28φ: C2×D28/C22×D7 → C2 ⊆ Aut C22112C2^2.18(C2xD28)448,946
C22.19(C2×D28) = C42⋊8D14φ: C2×D28/C22×D7 → C2 ⊆ Aut C22112C2^2.19(C2xD28)448,977
C22.20(C2×D28) = C42⋊9D14φ: C2×D28/C22×D7 → C2 ⊆ Aut C22112C2^2.20(C2xD28)448,978
C22.21(C2×D28) = C42.92D14φ: C2×D28/C22×D7 → C2 ⊆ Aut C22224C2^2.21(C2xD28)448,979
C22.22(C2×D28) = C56.9C23φ: C2×D28/C22×D7 → C2 ⊆ Aut C221124C2^2.22(C2xD28)448,1201
C22.23(C2×D28) = C4⋊Dic7⋊7C4central extension (φ=1)448C2^2.23(C2xD28)448,187
C22.24(C2×D28) = (C2×C4)⋊9D28central extension (φ=1)224C2^2.24(C2xD28)448,199
C22.25(C2×D28) = D14⋊C4⋊C4central extension (φ=1)224C2^2.25(C2xD28)448,202
C22.26(C2×D28) = C2.(C4×D28)central extension (φ=1)224C2^2.26(C2xD28)448,204
C22.27(C2×D28) = C4×C56⋊C2central extension (φ=1)224C2^2.27(C2xD28)448,225
C22.28(C2×D28) = C4×D56central extension (φ=1)224C2^2.28(C2xD28)448,226
C22.29(C2×D28) = C4×Dic28central extension (φ=1)448C2^2.29(C2xD28)448,232
C22.30(C2×D28) = C42.16D14central extension (φ=1)224C2^2.30(C2xD28)448,244
C22.31(C2×D28) = D56⋊C4central extension (φ=1)224C2^2.31(C2xD28)448,245
C22.32(C2×D28) = Dic28⋊C4central extension (φ=1)448C2^2.32(C2xD28)448,250
C22.33(C2×D28) = C28⋊4(C4⋊C4)central extension (φ=1)448C2^2.33(C2xD28)448,462
C22.34(C2×D28) = (C2×C28)⋊10Q8central extension (φ=1)448C2^2.34(C2xD28)448,463
C22.35(C2×D28) = C4×C4⋊Dic7central extension (φ=1)448C2^2.35(C2xD28)448,468
C22.36(C2×D28) = C42⋊8Dic7central extension (φ=1)448C2^2.36(C2xD28)448,469
C22.37(C2×D28) = C42⋊9Dic7central extension (φ=1)448C2^2.37(C2xD28)448,470
C22.38(C2×D28) = C4×D14⋊C4central extension (φ=1)224C2^2.38(C2xD28)448,472
C22.39(C2×D28) = (C2×C4)⋊6D28central extension (φ=1)224C2^2.39(C2xD28)448,473
C22.40(C2×D28) = (C2×C42)⋊D7central extension (φ=1)224C2^2.40(C2xD28)448,474
C22.41(C2×D28) = C23.42D28central extension (φ=1)224C2^2.41(C2xD28)448,477
C22.42(C2×D28) = C24.47D14central extension (φ=1)224C2^2.42(C2xD28)448,484
C22.43(C2×D28) = C23.44D28central extension (φ=1)112C2^2.43(C2xD28)448,489
C22.44(C2×D28) = C23.45D28central extension (φ=1)224C2^2.44(C2xD28)448,492
C22.45(C2×D28) = (C2×Dic7)⋊6Q8central extension (φ=1)448C2^2.45(C2xD28)448,508
C22.46(C2×D28) = C4⋊(C4⋊Dic7)central extension (φ=1)448C2^2.46(C2xD28)448,519
C22.47(C2×D28) = C4⋊(D14⋊C4)central extension (φ=1)224C2^2.47(C2xD28)448,521
C22.48(C2×D28) = (C2×D28)⋊10C4central extension (φ=1)224C2^2.48(C2xD28)448,522
C22.49(C2×D28) = C2×C28.44D4central extension (φ=1)448C2^2.49(C2xD28)448,637
C22.50(C2×D28) = C2×C8⋊Dic7central extension (φ=1)448C2^2.50(C2xD28)448,638
C22.51(C2×D28) = C2×C56⋊1C4central extension (φ=1)448C2^2.51(C2xD28)448,639
C22.52(C2×D28) = C23.22D28central extension (φ=1)224C2^2.52(C2xD28)448,640
C22.53(C2×D28) = C2×C2.D56central extension (φ=1)224C2^2.53(C2xD28)448,646
C22.54(C2×D28) = C23.23D28central extension (φ=1)224C2^2.54(C2xD28)448,647
C22.55(C2×D28) = C23.46D28central extension (φ=1)224C2^2.55(C2xD28)448,654
C22.56(C2×D28) = C23.47D28central extension (φ=1)224C2^2.56(C2xD28)448,655
C22.57(C2×D28) = C23.48D28central extension (φ=1)112C2^2.57(C2xD28)448,665
C22.58(C2×D28) = C23.49D28central extension (φ=1)224C2^2.58(C2xD28)448,667
C22.59(C2×D28) = C2×C14.C42central extension (φ=1)448C2^2.59(C2xD28)448,742
C22.60(C2×D28) = C23.27D28central extension (φ=1)224C2^2.60(C2xD28)448,746
C22.61(C2×D28) = C23.28D28central extension (φ=1)224C2^2.61(C2xD28)448,747
C22.62(C2×D28) = C2×C28⋊2Q8central extension (φ=1)448C2^2.62(C2xD28)448,921
C22.63(C2×D28) = C2×C4×D28central extension (φ=1)224C2^2.63(C2xD28)448,926
C22.64(C2×D28) = C2×C28⋊4D4central extension (φ=1)224C2^2.64(C2xD28)448,928
C22.65(C2×D28) = C2×C4.D28central extension (φ=1)224C2^2.65(C2xD28)448,929
C22.66(C2×D28) = C2×C22.D28central extension (φ=1)224C2^2.66(C2xD28)448,945
C22.67(C2×D28) = C2×C4⋊D28central extension (φ=1)224C2^2.67(C2xD28)448,959
C22.68(C2×D28) = C2×D14⋊2Q8central extension (φ=1)224C2^2.68(C2xD28)448,962
C22.69(C2×D28) = C22×C56⋊C2central extension (φ=1)224C2^2.69(C2xD28)448,1192
C22.70(C2×D28) = C22×D56central extension (φ=1)224C2^2.70(C2xD28)448,1193
C22.71(C2×D28) = C2×D56⋊7C2central extension (φ=1)224C2^2.71(C2xD28)448,1194
C22.72(C2×D28) = C22×Dic28central extension (φ=1)448C2^2.72(C2xD28)448,1195
C22.73(C2×D28) = C2×C8⋊D14central extension (φ=1)112C2^2.73(C2xD28)448,1199
C22.74(C2×D28) = C2×C8.D14central extension (φ=1)224C2^2.74(C2xD28)448,1200
C22.75(C2×D28) = C22×C4⋊Dic7central extension (φ=1)448C2^2.75(C2xD28)448,1238
C22.76(C2×D28) = C22×D14⋊C4central extension (φ=1)224C2^2.76(C2xD28)448,1240
C22.77(C2×D28) = (C2×Dic7)⋊Q8central stem extension (φ=1)448C2^2.77(C2xD28)448,190
C22.78(C2×D28) = (C2×C28).28D4central stem extension (φ=1)448C2^2.78(C2xD28)448,193
C22.79(C2×D28) = C14.(C4⋊Q8)central stem extension (φ=1)448C2^2.79(C2xD28)448,195
C22.80(C2×D28) = (C2×C28)⋊5D4central stem extension (φ=1)224C2^2.80(C2xD28)448,205
C22.81(C2×D28) = (C2×Dic7)⋊3D4central stem extension (φ=1)224C2^2.81(C2xD28)448,206
C22.82(C2×D28) = (C2×C4).20D28central stem extension (φ=1)224C2^2.82(C2xD28)448,207
C22.83(C2×D28) = (C2×C4).21D28central stem extension (φ=1)224C2^2.83(C2xD28)448,208
C22.84(C2×D28) = (C2×C28).33D4central stem extension (φ=1)224C2^2.84(C2xD28)448,211
C22.85(C2×D28) = C56⋊9Q8central stem extension (φ=1)448C2^2.85(C2xD28)448,214
C22.86(C2×D28) = C28.14Q16central stem extension (φ=1)448C2^2.86(C2xD28)448,215
C22.87(C2×D28) = C56⋊8Q8central stem extension (φ=1)448C2^2.87(C2xD28)448,216
C22.88(C2×D28) = C56.13Q8central stem extension (φ=1)448C2^2.88(C2xD28)448,217
C22.89(C2×D28) = C8⋊5D28central stem extension (φ=1)224C2^2.89(C2xD28)448,227
C22.90(C2×D28) = C4.5D56central stem extension (φ=1)224C2^2.90(C2xD28)448,228
C22.91(C2×D28) = C28⋊4D8central stem extension (φ=1)224C2^2.91(C2xD28)448,229
C22.92(C2×D28) = C8.8D28central stem extension (φ=1)224C2^2.92(C2xD28)448,230
C22.93(C2×D28) = C42.264D14central stem extension (φ=1)224C2^2.93(C2xD28)448,231
C22.94(C2×D28) = C28⋊4Q16central stem extension (φ=1)448C2^2.94(C2xD28)448,233
C22.95(C2×D28) = C8⋊Dic14central stem extension (φ=1)448C2^2.95(C2xD28)448,236
C22.96(C2×D28) = C42.14D14central stem extension (φ=1)448C2^2.96(C2xD28)448,237
C22.97(C2×D28) = C8⋊D28central stem extension (φ=1)224C2^2.97(C2xD28)448,246
C22.98(C2×D28) = C42.19D14central stem extension (φ=1)224C2^2.98(C2xD28)448,247
C22.99(C2×D28) = C42.20D14central stem extension (φ=1)224C2^2.99(C2xD28)448,248
C22.100(C2×D28) = C8.D28central stem extension (φ=1)224C2^2.100(C2xD28)448,249
C22.101(C2×D28) = C23.34D28central stem extension (φ=1)224C2^2.101(C2xD28)448,255
C22.102(C2×D28) = C23.35D28central stem extension (φ=1)224C2^2.102(C2xD28)448,256
C22.103(C2×D28) = C23.10D28central stem extension (φ=1)224C2^2.103(C2xD28)448,257
C22.104(C2×D28) = D28.31D4central stem extension (φ=1)112C2^2.104(C2xD28)448,265
C22.105(C2×D28) = D28⋊13D4central stem extension (φ=1)112C2^2.105(C2xD28)448,266
C22.106(C2×D28) = D28.32D4central stem extension (φ=1)224C2^2.106(C2xD28)448,267
C22.107(C2×D28) = D28⋊14D4central stem extension (φ=1)224C2^2.107(C2xD28)448,268
C22.108(C2×D28) = C23.38D28central stem extension (φ=1)224C2^2.108(C2xD28)448,269
C22.109(C2×D28) = C22.D56central stem extension (φ=1)224C2^2.109(C2xD28)448,270
C22.110(C2×D28) = C23.13D28central stem extension (φ=1)224C2^2.110(C2xD28)448,271
C22.111(C2×D28) = Dic14⋊14D4central stem extension (φ=1)224C2^2.111(C2xD28)448,272
C22.112(C2×D28) = C22⋊Dic28central stem extension (φ=1)224C2^2.112(C2xD28)448,273
C22.113(C2×D28) = Dic14.3Q8central stem extension (φ=1)448C2^2.113(C2xD28)448,363
C22.114(C2×D28) = C28⋊SD16central stem extension (φ=1)224C2^2.114(C2xD28)448,375
C22.115(C2×D28) = D28⋊3Q8central stem extension (φ=1)224C2^2.115(C2xD28)448,376
C22.116(C2×D28) = C4⋊D56central stem extension (φ=1)224C2^2.116(C2xD28)448,377
C22.117(C2×D28) = D28.19D4central stem extension (φ=1)224C2^2.117(C2xD28)448,378
C22.118(C2×D28) = C42.36D14central stem extension (φ=1)224C2^2.118(C2xD28)448,379
C22.119(C2×D28) = D28⋊4Q8central stem extension (φ=1)224C2^2.119(C2xD28)448,380
C22.120(C2×D28) = D28.3Q8central stem extension (φ=1)224C2^2.120(C2xD28)448,381
C22.121(C2×D28) = Dic14⋊8D4central stem extension (φ=1)224C2^2.121(C2xD28)448,382
C22.122(C2×D28) = C4⋊Dic28central stem extension (φ=1)448C2^2.122(C2xD28)448,383
C22.123(C2×D28) = C28.7Q16central stem extension (φ=1)448C2^2.123(C2xD28)448,384
C22.124(C2×D28) = Dic14⋊4Q8central stem extension (φ=1)448C2^2.124(C2xD28)448,385
C22.125(C2×D28) = C24.10D14central stem extension (φ=1)224C2^2.125(C2xD28)448,487
C22.126(C2×D28) = C23⋊2D28central stem extension (φ=1)224C2^2.126(C2xD28)448,494
C22.127(C2×D28) = C23.16D28central stem extension (φ=1)224C2^2.127(C2xD28)448,495
C22.128(C2×D28) = (C2×C4).44D28central stem extension (φ=1)448C2^2.128(C2xD28)448,517
C22.129(C2×D28) = (C2×C4)⋊3D28central stem extension (φ=1)224C2^2.129(C2xD28)448,525
C22.130(C2×D28) = (C2×C4).45D28central stem extension (φ=1)224C2^2.130(C2xD28)448,528
C22.131(C2×D28) = C56⋊30D4central stem extension (φ=1)224C2^2.131(C2xD28)448,648
C22.132(C2×D28) = C56⋊29D4central stem extension (φ=1)224C2^2.132(C2xD28)448,649
C22.133(C2×D28) = C56.82D4central stem extension (φ=1)224C2^2.133(C2xD28)448,650
C22.134(C2×D28) = C56⋊2D4central stem extension (φ=1)224C2^2.134(C2xD28)448,668
C22.135(C2×D28) = C56⋊3D4central stem extension (φ=1)224C2^2.135(C2xD28)448,669
C22.136(C2×D28) = C56.4D4central stem extension (φ=1)224C2^2.136(C2xD28)448,671

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