Extensions 1→N→G→Q→1 with N=C22 and Q=C4○D28

Direct product G=N×Q with N=C22 and Q=C4○D28
dρLabelID
C22×C4○D28224C2^2xC4oD28448,1368

Semidirect products G=N:Q with N=C22 and Q=C4○D28
extensionφ:Q→Aut NdρLabelID
C221(C4○D28) = Dic1423D4φ: C4○D28/Dic14C2 ⊆ Aut C22224C2^2:1(C4oD28)448,1005
C222(C4○D28) = C4212D14φ: C4○D28/C4×D7C2 ⊆ Aut C22112C2^2:2(C4oD28)448,1000
C223(C4○D28) = D2823D4φ: C4○D28/D28C2 ⊆ Aut C22112C2^2:3(C4oD28)448,1003
C224(C4○D28) = C24.27D14φ: C4○D28/C7⋊D4C2 ⊆ Aut C22112C2^2:4(C4oD28)448,943
C225(C4○D28) = C24.72D14φ: C4○D28/C2×C28C2 ⊆ Aut C22112C2^2:5(C4oD28)448,1244

Non-split extensions G=N.Q with N=C22 and Q=C4○D28
extensionφ:Q→Aut NdρLabelID
C22.1(C4○D28) = C42.104D14φ: C4○D28/Dic14C2 ⊆ Aut C22224C2^2.1(C4oD28)448,993
C22.2(C4○D28) = C42.119D14φ: C4○D28/Dic14C2 ⊆ Aut C22224C2^2.2(C4oD28)448,1018
C22.3(C4○D28) = C56.93D4φ: C4○D28/C4×D7C2 ⊆ Aut C221124C2^2.3(C4oD28)448,678
C22.4(C4○D28) = C56.50D4φ: C4○D28/C4×D7C2 ⊆ Aut C221124C2^2.4(C4oD28)448,679
C22.5(C4○D28) = C42.102D14φ: C4○D28/C4×D7C2 ⊆ Aut C22224C2^2.5(C4oD28)448,991
C22.6(C4○D28) = C4217D14φ: C4○D28/C4×D7C2 ⊆ Aut C22112C2^2.6(C4oD28)448,1013
C22.7(C4○D28) = C42.118D14φ: C4○D28/C4×D7C2 ⊆ Aut C22224C2^2.7(C4oD28)448,1017
C22.8(C4○D28) = D4.3D28φ: C4○D28/D28C2 ⊆ Aut C221124C2^2.8(C4oD28)448,675
C22.9(C4○D28) = D4.4D28φ: C4○D28/D28C2 ⊆ Aut C221124+C2^2.9(C4oD28)448,676
C22.10(C4○D28) = D4.5D28φ: C4○D28/D28C2 ⊆ Aut C222244-C2^2.10(C4oD28)448,677
C22.11(C4○D28) = C42.105D14φ: C4○D28/D28C2 ⊆ Aut C22224C2^2.11(C4oD28)448,994
C22.12(C4○D28) = C4216D14φ: C4○D28/D28C2 ⊆ Aut C22112C2^2.12(C4oD28)448,1009
C22.13(C4○D28) = D28.2D4φ: C4○D28/C7⋊D4C2 ⊆ Aut C221128-C2^2.13(C4oD28)448,282
C22.14(C4○D28) = D28.3D4φ: C4○D28/C7⋊D4C2 ⊆ Aut C221128+C2^2.14(C4oD28)448,283
C22.15(C4○D28) = D28.6D4φ: C4○D28/C7⋊D4C2 ⊆ Aut C221128+C2^2.15(C4oD28)448,288
C22.16(C4○D28) = D28.7D4φ: C4○D28/C7⋊D4C2 ⊆ Aut C222248-C2^2.16(C4oD28)448,289
C22.17(C4○D28) = C24.31D14φ: C4○D28/C7⋊D4C2 ⊆ Aut C22112C2^2.17(C4oD28)448,948
C22.18(C4○D28) = C4210D14φ: C4○D28/C7⋊D4C2 ⊆ Aut C22112C2^2.18(C4oD28)448,980
C22.19(C4○D28) = C42.96D14φ: C4○D28/C7⋊D4C2 ⊆ Aut C22224C2^2.19(C4oD28)448,984
C22.20(C4○D28) = D5611C4φ: C4○D28/C2×C28C2 ⊆ Aut C221122C2^2.20(C4oD28)448,234
C22.21(C4○D28) = D564C4φ: C4○D28/C2×C28C2 ⊆ Aut C221124C2^2.21(C4oD28)448,251
C22.22(C4○D28) = C42.277D14φ: C4○D28/C2×C28C2 ⊆ Aut C22224C2^2.22(C4oD28)448,932
C22.23(C4○D28) = C24.30D14φ: C4○D28/C2×C28C2 ⊆ Aut C22112C2^2.23(C4oD28)448,947
C22.24(C4○D28) = C14.62- 1+4φ: C4○D28/C2×C28C2 ⊆ Aut C22224C2^2.24(C4oD28)448,968
C22.25(C4○D28) = (C2×C28)⋊Q8central extension (φ=1)448C2^2.25(C4oD28)448,180
C22.26(C4○D28) = C14.(C4×Q8)central extension (φ=1)448C2^2.26(C4oD28)448,181
C22.27(C4○D28) = C7⋊(C428C4)central extension (φ=1)448C2^2.27(C4oD28)448,184
C22.28(C4○D28) = C7⋊(C425C4)central extension (φ=1)448C2^2.28(C4oD28)448,185
C22.29(C4○D28) = Dic7⋊C4⋊C4central extension (φ=1)448C2^2.29(C4oD28)448,186
C22.30(C4○D28) = C4⋊Dic77C4central extension (φ=1)448C2^2.30(C4oD28)448,187
C22.31(C4○D28) = C4⋊Dic78C4central extension (φ=1)448C2^2.31(C4oD28)448,188
C22.32(C4○D28) = C14.(C4×D4)central extension (φ=1)448C2^2.32(C4oD28)448,189
C22.33(C4○D28) = C22.58(D4×D7)central extension (φ=1)224C2^2.33(C4oD28)448,198
C22.34(C4○D28) = (C2×C4)⋊9D28central extension (φ=1)224C2^2.34(C4oD28)448,199
C22.35(C4○D28) = D14⋊(C4⋊C4)central extension (φ=1)224C2^2.35(C4oD28)448,201
C22.36(C4○D28) = D14⋊C4⋊C4central extension (φ=1)224C2^2.36(C4oD28)448,202
C22.37(C4○D28) = D14⋊C45C4central extension (φ=1)224C2^2.37(C4oD28)448,203
C22.38(C4○D28) = C2.(C4×D28)central extension (φ=1)224C2^2.38(C4oD28)448,204
C22.39(C4○D28) = C284(C4⋊C4)central extension (φ=1)448C2^2.39(C4oD28)448,462
C22.40(C4○D28) = (C2×C28)⋊10Q8central extension (φ=1)448C2^2.40(C4oD28)448,463
C22.41(C4○D28) = C4×Dic7⋊C4central extension (φ=1)448C2^2.41(C4oD28)448,465
C22.42(C4○D28) = C424Dic7central extension (φ=1)448C2^2.42(C4oD28)448,466
C22.43(C4○D28) = (C2×C42).D7central extension (φ=1)448C2^2.43(C4oD28)448,467
C22.44(C4○D28) = C4×C4⋊Dic7central extension (φ=1)448C2^2.44(C4oD28)448,468
C22.45(C4○D28) = C429Dic7central extension (φ=1)448C2^2.45(C4oD28)448,470
C22.46(C4○D28) = C425Dic7central extension (φ=1)448C2^2.46(C4oD28)448,471
C22.47(C4○D28) = C4×D14⋊C4central extension (φ=1)224C2^2.47(C4oD28)448,472
C22.48(C4○D28) = (C2×C4)⋊6D28central extension (φ=1)224C2^2.48(C4oD28)448,473
C22.49(C4○D28) = (C2×C42)⋊D7central extension (φ=1)224C2^2.49(C4oD28)448,474
C22.50(C4○D28) = C24.3D14central extension (φ=1)224C2^2.50(C4oD28)448,478
C22.51(C4○D28) = C24.4D14central extension (φ=1)224C2^2.51(C4oD28)448,479
C22.52(C4○D28) = C24.8D14central extension (φ=1)224C2^2.52(C4oD28)448,485
C22.53(C4○D28) = C24.12D14central extension (φ=1)224C2^2.53(C4oD28)448,490
C22.54(C4○D28) = C24.13D14central extension (φ=1)224C2^2.54(C4oD28)448,491
C22.55(C4○D28) = Dic7⋊(C4⋊C4)central extension (φ=1)448C2^2.55(C4oD28)448,506
C22.56(C4○D28) = C22.23(Q8×D7)central extension (φ=1)448C2^2.56(C4oD28)448,512
C22.57(C4○D28) = C4⋊C45Dic7central extension (φ=1)448C2^2.57(C4oD28)448,515
C22.58(C4○D28) = D14⋊C46C4central extension (φ=1)224C2^2.58(C4oD28)448,523
C22.59(C4○D28) = D14⋊C47C4central extension (φ=1)224C2^2.59(C4oD28)448,524
C22.60(C4○D28) = C4×C23.D7central extension (φ=1)224C2^2.60(C4oD28)448,743
C22.61(C4○D28) = C24.62D14central extension (φ=1)224C2^2.61(C4oD28)448,744
C22.62(C4○D28) = C24.63D14central extension (φ=1)224C2^2.62(C4oD28)448,745
C22.63(C4○D28) = C23.27D28central extension (φ=1)224C2^2.63(C4oD28)448,746
C22.64(C4○D28) = C23.28D28central extension (φ=1)224C2^2.64(C4oD28)448,747
C22.65(C4○D28) = C2×C4×Dic14central extension (φ=1)448C2^2.65(C4oD28)448,920
C22.66(C4○D28) = C2×C28.6Q8central extension (φ=1)448C2^2.66(C4oD28)448,922
C22.67(C4○D28) = C2×C42⋊D7central extension (φ=1)224C2^2.67(C4oD28)448,925
C22.68(C4○D28) = C2×C4×D28central extension (φ=1)224C2^2.68(C4oD28)448,926
C22.69(C4○D28) = C2×C4.D28central extension (φ=1)224C2^2.69(C4oD28)448,929
C22.70(C4○D28) = C2×C422D7central extension (φ=1)224C2^2.70(C4oD28)448,931
C22.71(C4○D28) = C2×C23.D14central extension (φ=1)224C2^2.71(C4oD28)448,935
C22.72(C4○D28) = C2×D14.D4central extension (φ=1)224C2^2.72(C4oD28)448,941
C22.73(C4○D28) = C2×D14⋊D4central extension (φ=1)224C2^2.73(C4oD28)448,942
C22.74(C4○D28) = C2×Dic7.D4central extension (φ=1)224C2^2.74(C4oD28)448,944
C22.75(C4○D28) = C2×Dic7.Q8central extension (φ=1)448C2^2.75(C4oD28)448,951
C22.76(C4○D28) = C2×D14.5D4central extension (φ=1)224C2^2.76(C4oD28)448,958
C22.77(C4○D28) = C2×D14⋊Q8central extension (φ=1)224C2^2.77(C4oD28)448,961
C22.78(C4○D28) = C2×C4⋊C4⋊D7central extension (φ=1)224C2^2.78(C4oD28)448,965
C22.79(C4○D28) = C2×C28.48D4central extension (φ=1)224C2^2.79(C4oD28)448,1237
C22.80(C4○D28) = C2×C23.21D14central extension (φ=1)224C2^2.80(C4oD28)448,1239
C22.81(C4○D28) = C2×C4×C7⋊D4central extension (φ=1)224C2^2.81(C4oD28)448,1241
C22.82(C4○D28) = C2×C23.23D14central extension (φ=1)224C2^2.82(C4oD28)448,1242
C22.83(C4○D28) = C2×C287D4central extension (φ=1)224C2^2.83(C4oD28)448,1243
C22.84(C4○D28) = C2.(C28⋊Q8)central stem extension (φ=1)448C2^2.84(C4oD28)448,191
C22.85(C4○D28) = (C2×Dic7).Q8central stem extension (φ=1)448C2^2.85(C4oD28)448,192
C22.86(C4○D28) = (C2×C28).28D4central stem extension (φ=1)448C2^2.86(C4oD28)448,193
C22.87(C4○D28) = (C2×C4).Dic14central stem extension (φ=1)448C2^2.87(C4oD28)448,194
C22.88(C4○D28) = (C22×C4).D14central stem extension (φ=1)448C2^2.88(C4oD28)448,196
C22.89(C4○D28) = (C2×Dic7)⋊3D4central stem extension (φ=1)224C2^2.89(C4oD28)448,206
C22.90(C4○D28) = (C2×C4).20D28central stem extension (φ=1)224C2^2.90(C4oD28)448,207
C22.91(C4○D28) = (C2×C4).21D28central stem extension (φ=1)224C2^2.91(C4oD28)448,208
C22.92(C4○D28) = (C22×D7).9D4central stem extension (φ=1)224C2^2.92(C4oD28)448,209
C22.93(C4○D28) = (C22×D7).Q8central stem extension (φ=1)224C2^2.93(C4oD28)448,210
C22.94(C4○D28) = C23⋊Dic14central stem extension (φ=1)224C2^2.94(C4oD28)448,481
C22.95(C4○D28) = C24.6D14central stem extension (φ=1)224C2^2.95(C4oD28)448,482
C22.96(C4○D28) = C24.7D14central stem extension (φ=1)224C2^2.96(C4oD28)448,483
C22.97(C4○D28) = C24.9D14central stem extension (φ=1)224C2^2.97(C4oD28)448,486
C22.98(C4○D28) = C24.10D14central stem extension (φ=1)224C2^2.98(C4oD28)448,487
C22.99(C4○D28) = C24.14D14central stem extension (φ=1)224C2^2.99(C4oD28)448,493
C22.100(C4○D28) = C232D28central stem extension (φ=1)224C2^2.100(C4oD28)448,494
C22.101(C4○D28) = C23.16D28central stem extension (φ=1)224C2^2.101(C4oD28)448,495
C22.102(C4○D28) = (C2×C4)⋊Dic14central stem extension (φ=1)448C2^2.102(C4oD28)448,513
C22.103(C4○D28) = (C2×C28).287D4central stem extension (φ=1)448C2^2.103(C4oD28)448,514
C22.104(C4○D28) = (C2×C28).288D4central stem extension (φ=1)448C2^2.104(C4oD28)448,516
C22.105(C4○D28) = (C2×C4).44D28central stem extension (φ=1)448C2^2.105(C4oD28)448,517
C22.106(C4○D28) = (C2×C28).54D4central stem extension (φ=1)448C2^2.106(C4oD28)448,518
C22.107(C4○D28) = (C2×C28).55D4central stem extension (φ=1)448C2^2.107(C4oD28)448,520
C22.108(C4○D28) = (C2×C4)⋊3D28central stem extension (φ=1)224C2^2.108(C4oD28)448,525
C22.109(C4○D28) = (C2×C28).289D4central stem extension (φ=1)224C2^2.109(C4oD28)448,526
C22.110(C4○D28) = (C2×C28).290D4central stem extension (φ=1)224C2^2.110(C4oD28)448,527
C22.111(C4○D28) = (C2×C4).45D28central stem extension (φ=1)224C2^2.111(C4oD28)448,528

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