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Extensions 1→N→G→Q→1 with N=C22 and Q=C22×C28

Direct product G=N×Q with N=C22 and Q=C22×C28
dρLabelID
C24×C28448C2^4xC28448,1385

Semidirect products G=N:Q with N=C22 and Q=C22×C28
extensionφ:Q→Aut NdρLabelID
C22⋊1(C22×C28) = D4×C2×C28φ: C22×C28/C2×C28 → C2 ⊆ Aut C22224C2^2:1(C2^2xC28)448,1298
C22⋊2(C22×C28) = C22⋊C4×C2×C14φ: C22×C28/C22×C14 → C2 ⊆ Aut C22224C2^2:2(C2^2xC28)448,1295

Non-split extensions G=N.Q with N=C22 and Q=C22×C28
extensionφ:Q→Aut NdρLabelID
C22.1(C22×C28) = C4○D4×C28φ: C22×C28/C2×C28 → C2 ⊆ Aut C22224C2^2.1(C2^2xC28)448,1300
C22.2(C22×C28) = C7×C22.11C24φ: C22×C28/C2×C28 → C2 ⊆ Aut C22112C2^2.2(C2^2xC28)448,1301
C22.3(C22×C28) = C7×C23.33C23φ: C22×C28/C2×C28 → C2 ⊆ Aut C22224C2^2.3(C2^2xC28)448,1303
C22.4(C22×C28) = C14×C8○D4φ: C22×C28/C2×C28 → C2 ⊆ Aut C22224C2^2.4(C2^2xC28)448,1350
C22.5(C22×C28) = C7×Q8○M4(2)φ: C22×C28/C2×C28 → C2 ⊆ Aut C221124C2^2.5(C2^2xC28)448,1351
C22.6(C22×C28) = C14×C23⋊C4φ: C22×C28/C22×C14 → C2 ⊆ Aut C22112C2^2.6(C2^2xC28)448,817
C22.7(C22×C28) = C7×C23.C23φ: C22×C28/C22×C14 → C2 ⊆ Aut C221124C2^2.7(C2^2xC28)448,818
C22.8(C22×C28) = C14×C4.D4φ: C22×C28/C22×C14 → C2 ⊆ Aut C22112C2^2.8(C2^2xC28)448,819
C22.9(C22×C28) = C14×C4.10D4φ: C22×C28/C22×C14 → C2 ⊆ Aut C22224C2^2.9(C2^2xC28)448,820
C22.10(C22×C28) = C7×M4(2).8C22φ: C22×C28/C22×C14 → C2 ⊆ Aut C221124C2^2.10(C2^2xC28)448,821
C22.11(C22×C28) = C7×C23.32C23φ: C22×C28/C22×C14 → C2 ⊆ Aut C22224C2^2.11(C2^2xC28)448,1302
C22.12(C22×C28) = C14×C2.C42central extension (φ=1)448C2^2.12(C2^2xC28)448,783
C22.13(C22×C28) = C7×C42⋊4C4central extension (φ=1)448C2^2.13(C2^2xC28)448,784
C22.14(C22×C28) = C22⋊C4×C28central extension (φ=1)224C2^2.14(C2^2xC28)448,785
C22.15(C22×C28) = C4⋊C4×C28central extension (φ=1)448C2^2.15(C2^2xC28)448,786
C22.16(C22×C28) = C14×C8⋊C4central extension (φ=1)448C2^2.16(C2^2xC28)448,811
C22.17(C22×C28) = M4(2)×C28central extension (φ=1)224C2^2.17(C2^2xC28)448,812
C22.18(C22×C28) = C7×C8○2M4(2)central extension (φ=1)224C2^2.18(C2^2xC28)448,813
C22.19(C22×C28) = C14×C22⋊C8central extension (φ=1)224C2^2.19(C2^2xC28)448,814
C22.20(C22×C28) = C14×C4⋊C8central extension (φ=1)448C2^2.20(C2^2xC28)448,830
C22.21(C22×C28) = C7×C42.12C4central extension (φ=1)224C2^2.21(C2^2xC28)448,839
C22.22(C22×C28) = D4×C56central extension (φ=1)224C2^2.22(C2^2xC28)448,842
C22.23(C22×C28) = Q8×C56central extension (φ=1)448C2^2.23(C2^2xC28)448,853
C22.24(C22×C28) = C4⋊C4×C2×C14central extension (φ=1)448C2^2.24(C2^2xC28)448,1296
C22.25(C22×C28) = C14×C42⋊C2central extension (φ=1)224C2^2.25(C2^2xC28)448,1297
C22.26(C22×C28) = Q8×C2×C28central extension (φ=1)448C2^2.26(C2^2xC28)448,1299
C22.27(C22×C28) = M4(2)×C2×C14central extension (φ=1)224C2^2.27(C2^2xC28)448,1349
C22.28(C22×C28) = C7×C24⋊3C4central stem extension (φ=1)112C2^2.28(C2^2xC28)448,787
C22.29(C22×C28) = C7×C23.7Q8central stem extension (φ=1)224C2^2.29(C2^2xC28)448,788
C22.30(C22×C28) = C7×C23.34D4central stem extension (φ=1)224C2^2.30(C2^2xC28)448,789
C22.31(C22×C28) = C7×C42⋊8C4central stem extension (φ=1)448C2^2.31(C2^2xC28)448,790
C22.32(C22×C28) = C7×C42⋊5C4central stem extension (φ=1)448C2^2.32(C2^2xC28)448,791
C22.33(C22×C28) = C7×C42⋊9C4central stem extension (φ=1)448C2^2.33(C2^2xC28)448,792
C22.34(C22×C28) = C7×C23.8Q8central stem extension (φ=1)224C2^2.34(C2^2xC28)448,793
C22.35(C22×C28) = C7×C23.23D4central stem extension (φ=1)224C2^2.35(C2^2xC28)448,794
C22.36(C22×C28) = C7×C23.63C23central stem extension (φ=1)448C2^2.36(C2^2xC28)448,795
C22.37(C22×C28) = C7×C24.C22central stem extension (φ=1)224C2^2.37(C2^2xC28)448,796
C22.38(C22×C28) = C7×C23.65C23central stem extension (φ=1)448C2^2.38(C2^2xC28)448,797
C22.39(C22×C28) = C7×C24.3C22central stem extension (φ=1)224C2^2.39(C2^2xC28)448,798
C22.40(C22×C28) = C7×C23.67C23central stem extension (φ=1)448C2^2.40(C2^2xC28)448,799
C22.41(C22×C28) = C7×C24.4C4central stem extension (φ=1)112C2^2.41(C2^2xC28)448,815
C22.42(C22×C28) = C7×(C22×C8)⋊C2central stem extension (φ=1)224C2^2.42(C2^2xC28)448,816
C22.43(C22×C28) = C7×C4⋊M4(2)central stem extension (φ=1)224C2^2.43(C2^2xC28)448,831
C22.44(C22×C28) = C7×C42.6C22central stem extension (φ=1)224C2^2.44(C2^2xC28)448,832
C22.45(C22×C28) = C7×C42.6C4central stem extension (φ=1)224C2^2.45(C2^2xC28)448,840
C22.46(C22×C28) = C7×C42.7C22central stem extension (φ=1)224C2^2.46(C2^2xC28)448,841
C22.47(C22×C28) = C7×C8⋊9D4central stem extension (φ=1)224C2^2.47(C2^2xC28)448,843
C22.48(C22×C28) = C7×C8⋊6D4central stem extension (φ=1)224C2^2.48(C2^2xC28)448,844
C22.49(C22×C28) = C7×C8⋊4Q8central stem extension (φ=1)448C2^2.49(C2^2xC28)448,854

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