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Extensions 1→N→G→Q→1 with N=C4 and Q=C2×D28

Direct product G=N×Q with N=C4 and Q=C2×D28
dρLabelID
C2×C4×D28224C2xC4xD28448,926

Semidirect products G=N:Q with N=C4 and Q=C2×D28
extensionφ:Q→Aut NdρLabelID
C4⋊1(C2×D28) = D4×D28φ: C2×D28/D28 → C2 ⊆ Aut C4112C4:1(C2xD28)448,1002
C4⋊2(C2×D28) = C2×C28⋊4D4φ: C2×D28/C2×C28 → C2 ⊆ Aut C4224C4:2(C2xD28)448,928
C4⋊3(C2×D28) = C2×C4⋊D28φ: C2×D28/C22×D7 → C2 ⊆ Aut C4224C4:3(C2xD28)448,959

Non-split extensions G=N.Q with N=C4 and Q=C2×D28
extensionφ:Q→Aut NdρLabelID
C4.1(C2×D28) = D4⋊D28φ: C2×D28/D28 → C2 ⊆ Aut C4112C4.1(C2xD28)448,307
C4.2(C2×D28) = D4.6D28φ: C2×D28/D28 → C2 ⊆ Aut C4112C4.2(C2xD28)448,310
C4.3(C2×D28) = D4⋊3D28φ: C2×D28/D28 → C2 ⊆ Aut C4224C4.3(C2xD28)448,315
C4.4(C2×D28) = D4.D28φ: C2×D28/D28 → C2 ⊆ Aut C4224C4.4(C2xD28)448,317
C4.5(C2×D28) = Q8⋊2D28φ: C2×D28/D28 → C2 ⊆ Aut C4224C4.5(C2xD28)448,340
C4.6(C2×D28) = D14⋊4Q16φ: C2×D28/D28 → C2 ⊆ Aut C4224C4.6(C2xD28)448,342
C4.7(C2×D28) = Q8.D28φ: C2×D28/D28 → C2 ⊆ Aut C4224C4.7(C2xD28)448,344
C4.8(C2×D28) = D28⋊4D4φ: C2×D28/D28 → C2 ⊆ Aut C4224C4.8(C2xD28)448,345
C4.9(C2×D28) = D4⋊4D28φ: C2×D28/D28 → C2 ⊆ Aut C4564+C4.9(C2xD28)448,356
C4.10(C2×D28) = M4(2)⋊D14φ: C2×D28/D28 → C2 ⊆ Aut C41124C4.10(C2xD28)448,359
C4.11(C2×D28) = D4.9D28φ: C2×D28/D28 → C2 ⊆ Aut C41124-C4.11(C2xD28)448,360
C4.12(C2×D28) = D4.10D28φ: C2×D28/D28 → C2 ⊆ Aut C41124C4.12(C2xD28)448,361
C4.13(C2×D28) = C28⋊7D8φ: C2×D28/D28 → C2 ⊆ Aut C4224C4.13(C2xD28)448,549
C4.14(C2×D28) = D4.1D28φ: C2×D28/D28 → C2 ⊆ Aut C4224C4.14(C2xD28)448,550
C4.15(C2×D28) = D4.2D28φ: C2×D28/D28 → C2 ⊆ Aut C4224C4.15(C2xD28)448,553
C4.16(C2×D28) = Q8⋊D28φ: C2×D28/D28 → C2 ⊆ Aut C4224C4.16(C2xD28)448,561
C4.17(C2×D28) = Q8.1D28φ: C2×D28/D28 → C2 ⊆ Aut C4224C4.17(C2xD28)448,562
C4.18(C2×D28) = C28⋊7Q16φ: C2×D28/D28 → C2 ⊆ Aut C4448C4.18(C2xD28)448,565
C4.19(C2×D28) = D4.3D28φ: C2×D28/D28 → C2 ⊆ Aut C41124C4.19(C2xD28)448,675
C4.20(C2×D28) = D4.4D28φ: C2×D28/D28 → C2 ⊆ Aut C41124+C4.20(C2xD28)448,676
C4.21(C2×D28) = D4.5D28φ: C2×D28/D28 → C2 ⊆ Aut C42244-C4.21(C2xD28)448,677
C4.22(C2×D28) = D4⋊5D28φ: C2×D28/D28 → C2 ⊆ Aut C4112C4.22(C2xD28)448,1007
C4.23(C2×D28) = D4⋊6D28φ: C2×D28/D28 → C2 ⊆ Aut C4224C4.23(C2xD28)448,1008
C4.24(C2×D28) = Q8×D28φ: C2×D28/D28 → C2 ⊆ Aut C4224C4.24(C2xD28)448,1028
C4.25(C2×D28) = Q8⋊5D28φ: C2×D28/D28 → C2 ⊆ Aut C4224C4.25(C2xD28)448,1029
C4.26(C2×D28) = Q8⋊6D28φ: C2×D28/D28 → C2 ⊆ Aut C4224C4.26(C2xD28)448,1030
C4.27(C2×D28) = D4.11D28φ: C2×D28/D28 → C2 ⊆ Aut C41124C4.27(C2xD28)448,1204
C4.28(C2×D28) = D4.12D28φ: C2×D28/D28 → C2 ⊆ Aut C41124+C4.28(C2xD28)448,1205
C4.29(C2×D28) = D4.13D28φ: C2×D28/D28 → C2 ⊆ Aut C42244-C4.29(C2xD28)448,1206
C4.30(C2×D28) = C8⋊5D28φ: C2×D28/C2×C28 → C2 ⊆ Aut C4224C4.30(C2xD28)448,227
C4.31(C2×D28) = C28⋊4D8φ: C2×D28/C2×C28 → C2 ⊆ Aut C4224C4.31(C2xD28)448,229
C4.32(C2×D28) = C8.8D28φ: C2×D28/C2×C28 → C2 ⊆ Aut C4224C4.32(C2xD28)448,230
C4.33(C2×D28) = C28⋊4Q16φ: C2×D28/C2×C28 → C2 ⊆ Aut C4448C4.33(C2xD28)448,233
C4.34(C2×D28) = C8⋊D28φ: C2×D28/C2×C28 → C2 ⊆ Aut C4224C4.34(C2xD28)448,246
C4.35(C2×D28) = C8.D28φ: C2×D28/C2×C28 → C2 ⊆ Aut C4224C4.35(C2xD28)448,249
C4.36(C2×D28) = C2×D112φ: C2×D28/C2×C28 → C2 ⊆ Aut C4224C4.36(C2xD28)448,436
C4.37(C2×D28) = C2×C112⋊C2φ: C2×D28/C2×C28 → C2 ⊆ Aut C4224C4.37(C2xD28)448,437
C4.38(C2×D28) = D112⋊7C2φ: C2×D28/C2×C28 → C2 ⊆ Aut C42242C4.38(C2xD28)448,438
C4.39(C2×D28) = C2×Dic56φ: C2×D28/C2×C28 → C2 ⊆ Aut C4448C4.39(C2xD28)448,439
C4.40(C2×D28) = C16⋊D14φ: C2×D28/C2×C28 → C2 ⊆ Aut C41124+C4.40(C2xD28)448,442
C4.41(C2×D28) = C16.D14φ: C2×D28/C2×C28 → C2 ⊆ Aut C42244-C4.41(C2xD28)448,443
C4.42(C2×D28) = C2×C28⋊2Q8φ: C2×D28/C2×C28 → C2 ⊆ Aut C4448C4.42(C2xD28)448,921
C4.43(C2×D28) = C2×C4.D28φ: C2×D28/C2×C28 → C2 ⊆ Aut C4224C4.43(C2xD28)448,929
C4.44(C2×D28) = C22×C56⋊C2φ: C2×D28/C2×C28 → C2 ⊆ Aut C4224C4.44(C2xD28)448,1192
C4.45(C2×D28) = C22×D56φ: C2×D28/C2×C28 → C2 ⊆ Aut C4224C4.45(C2xD28)448,1193
C4.46(C2×D28) = C2×D56⋊7C2φ: C2×D28/C2×C28 → C2 ⊆ Aut C4224C4.46(C2xD28)448,1194
C4.47(C2×D28) = C22×Dic28φ: C2×D28/C2×C28 → C2 ⊆ Aut C4448C4.47(C2xD28)448,1195
C4.48(C2×D28) = C2×C8⋊D14φ: C2×D28/C2×C28 → C2 ⊆ Aut C4112C4.48(C2xD28)448,1199
C4.49(C2×D28) = C2×C8.D14φ: C2×D28/C2×C28 → C2 ⊆ Aut C4224C4.49(C2xD28)448,1200
C4.50(C2×D28) = C8⋊8D28φ: C2×D28/C22×D7 → C2 ⊆ Aut C4224C4.50(C2xD28)448,398
C4.51(C2×D28) = C56⋊7D4φ: C2×D28/C22×D7 → C2 ⊆ Aut C4224C4.51(C2xD28)448,399
C4.52(C2×D28) = C8.2D28φ: C2×D28/C22×D7 → C2 ⊆ Aut C4224C4.52(C2xD28)448,402
C4.53(C2×D28) = C8⋊7D28φ: C2×D28/C22×D7 → C2 ⊆ Aut C4224C4.53(C2xD28)448,417
C4.54(C2×D28) = C8⋊3D28φ: C2×D28/C22×D7 → C2 ⊆ Aut C4224C4.54(C2xD28)448,420
C4.55(C2×D28) = D14⋊2Q16φ: C2×D28/C22×D7 → C2 ⊆ Aut C4224C4.55(C2xD28)448,421
C4.56(C2×D28) = C8.20D28φ: C2×D28/C22×D7 → C2 ⊆ Aut C42244-C4.56(C2xD28)448,430
C4.57(C2×D28) = C8.21D28φ: C2×D28/C22×D7 → C2 ⊆ Aut C41124+C4.57(C2xD28)448,431
C4.58(C2×D28) = C8.24D28φ: C2×D28/C22×D7 → C2 ⊆ Aut C41124C4.58(C2xD28)448,432
C4.59(C2×D28) = C2×C14.D8φ: C2×D28/C22×D7 → C2 ⊆ Aut C4224C4.59(C2xD28)448,499
C4.60(C2×D28) = C4○D28⋊C4φ: C2×D28/C22×D7 → C2 ⊆ Aut C4224C4.60(C2xD28)448,500
C4.61(C2×D28) = C2×C14.Q16φ: C2×D28/C22×D7 → C2 ⊆ Aut C4448C4.61(C2xD28)448,503
C4.62(C2×D28) = C4⋊C4⋊36D14φ: C2×D28/C22×D7 → C2 ⊆ Aut C4112C4.62(C2xD28)448,535
C4.63(C2×D28) = C4.(C2×D28)φ: C2×D28/C22×D7 → C2 ⊆ Aut C4224C4.63(C2xD28)448,536
C4.64(C2×D28) = (C2×C4).47D28φ: C2×D28/C22×D7 → C2 ⊆ Aut C4224C4.64(C2xD28)448,538
C4.65(C2×D28) = C2×C28.46D4φ: C2×D28/C22×D7 → C2 ⊆ Aut C4112C4.65(C2xD28)448,664
C4.66(C2×D28) = M4(2).31D14φ: C2×D28/C22×D7 → C2 ⊆ Aut C41124C4.66(C2xD28)448,666
C4.67(C2×D28) = C2×C4.12D28φ: C2×D28/C22×D7 → C2 ⊆ Aut C4224C4.67(C2xD28)448,670
C4.68(C2×D28) = C2×D14⋊2Q8φ: C2×D28/C22×D7 → C2 ⊆ Aut C4224C4.68(C2xD28)448,962
C4.69(C2×D28) = C14.2+ 1+4φ: C2×D28/C22×D7 → C2 ⊆ Aut C4224C4.69(C2xD28)448,963
C4.70(C2×D28) = C42⋊8D14φ: C2×D28/C22×D7 → C2 ⊆ Aut C4112C4.70(C2xD28)448,977
C4.71(C2×D28) = C42⋊9D14φ: C2×D28/C22×D7 → C2 ⊆ Aut C4112C4.71(C2xD28)448,978
C4.72(C2×D28) = C42.92D14φ: C2×D28/C22×D7 → C2 ⊆ Aut C4224C4.72(C2xD28)448,979
C4.73(C2×D28) = C56.9C23φ: C2×D28/C22×D7 → C2 ⊆ Aut C41124C4.73(C2xD28)448,1201
C4.74(C2×D28) = C8×D28central extension (φ=1)224C4.74(C2xD28)448,220
C4.75(C2×D28) = C8⋊6D28central extension (φ=1)224C4.75(C2xD28)448,222
C4.76(C2×D28) = D56⋊11C4central extension (φ=1)1122C4.76(C2xD28)448,234
C4.77(C2×D28) = C8⋊9D28central extension (φ=1)224C4.77(C2xD28)448,240
C4.78(C2×D28) = D56⋊4C4central extension (φ=1)1124C4.78(C2xD28)448,251
C4.79(C2×D28) = C2×C28⋊C8central extension (φ=1)448C4.79(C2xD28)448,457
C4.80(C2×D28) = C28⋊7M4(2)central extension (φ=1)224C4.80(C2xD28)448,458
C4.81(C2×D28) = C2×Dic14⋊C4central extension (φ=1)112C4.81(C2xD28)448,461
C4.82(C2×D28) = C42.43D14central extension (φ=1)224C4.82(C2xD28)448,533
C4.83(C2×D28) = C42⋊4D14central extension (φ=1)1124C4.83(C2xD28)448,539
C4.84(C2×D28) = C2×C56.C4central extension (φ=1)224C4.84(C2xD28)448,641
C4.85(C2×D28) = C2×D14⋊C8central extension (φ=1)224C4.85(C2xD28)448,642
C4.86(C2×D28) = (C22×C8)⋊D7central extension (φ=1)224C4.86(C2xD28)448,644
C4.87(C2×D28) = M4(2).Dic7central extension (φ=1)1124C4.87(C2xD28)448,659
C4.88(C2×D28) = D14⋊6M4(2)central extension (φ=1)112C4.88(C2xD28)448,660
C4.89(C2×D28) = (C2×D28).14C4central extension (φ=1)224C4.89(C2xD28)448,663
C4.90(C2×D28) = C42.276D14central extension (φ=1)224C4.90(C2xD28)448,930

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