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Extensions 1→N→G→Q→1 with N=C4 and Q=C22xC28

Direct product G=NxQ with N=C4 and Q=C22xC28
dρLabelID
C22xC4xC28448C2^2xC4xC28448,1294

Semidirect products G=N:Q with N=C4 and Q=C22xC28
extensionφ:Q→Aut NdρLabelID
C4:1(C22xC28) = D4xC2xC28φ: C22xC28/C2xC28 → C2 ⊆ Aut C4224C4:1(C2^2xC28)448,1298
C4:2(C22xC28) = C4:C4xC2xC14φ: C22xC28/C22xC14 → C2 ⊆ Aut C4448C4:2(C2^2xC28)448,1296

Non-split extensions G=N.Q with N=C4 and Q=C22xC28
extensionφ:Q→Aut NdρLabelID
C4.1(C22xC28) = C14xD4:C4φ: C22xC28/C2xC28 → C2 ⊆ Aut C4224C4.1(C2^2xC28)448,822
C4.2(C22xC28) = C14xQ8:C4φ: C22xC28/C2xC28 → C2 ⊆ Aut C4448C4.2(C2^2xC28)448,823
C4.3(C22xC28) = C7xC23.24D4φ: C22xC28/C2xC28 → C2 ⊆ Aut C4224C4.3(C2^2xC28)448,824
C4.4(C22xC28) = C7xC23.36D4φ: C22xC28/C2xC28 → C2 ⊆ Aut C4224C4.4(C2^2xC28)448,825
C4.5(C22xC28) = C7xC23.37D4φ: C22xC28/C2xC28 → C2 ⊆ Aut C4112C4.5(C2^2xC28)448,826
C4.6(C22xC28) = C7xC23.38D4φ: C22xC28/C2xC28 → C2 ⊆ Aut C4224C4.6(C2^2xC28)448,827
C4.7(C22xC28) = C14xC4wrC2φ: C22xC28/C2xC28 → C2 ⊆ Aut C4112C4.7(C2^2xC28)448,828
C4.8(C22xC28) = C7xC42:C22φ: C22xC28/C2xC28 → C2 ⊆ Aut C41124C4.8(C2^2xC28)448,829
C4.9(C22xC28) = D8xC28φ: C22xC28/C2xC28 → C2 ⊆ Aut C4224C4.9(C2^2xC28)448,845
C4.10(C22xC28) = SD16xC28φ: C22xC28/C2xC28 → C2 ⊆ Aut C4224C4.10(C2^2xC28)448,846
C4.11(C22xC28) = Q16xC28φ: C22xC28/C2xC28 → C2 ⊆ Aut C4448C4.11(C2^2xC28)448,847
C4.12(C22xC28) = C7xSD16:C4φ: C22xC28/C2xC28 → C2 ⊆ Aut C4224C4.12(C2^2xC28)448,848
C4.13(C22xC28) = C7xQ16:C4φ: C22xC28/C2xC28 → C2 ⊆ Aut C4448C4.13(C2^2xC28)448,849
C4.14(C22xC28) = C7xD8:C4φ: C22xC28/C2xC28 → C2 ⊆ Aut C4224C4.14(C2^2xC28)448,850
C4.15(C22xC28) = C7xC8oD8φ: C22xC28/C2xC28 → C2 ⊆ Aut C41122C4.15(C2^2xC28)448,851
C4.16(C22xC28) = C7xC8.26D4φ: C22xC28/C2xC28 → C2 ⊆ Aut C41124C4.16(C2^2xC28)448,852
C4.17(C22xC28) = Q8xC2xC28φ: C22xC28/C2xC28 → C2 ⊆ Aut C4448C4.17(C2^2xC28)448,1299
C4.18(C22xC28) = C4oD4xC28φ: C22xC28/C2xC28 → C2 ⊆ Aut C4224C4.18(C2^2xC28)448,1300
C4.19(C22xC28) = C7xC22.11C24φ: C22xC28/C2xC28 → C2 ⊆ Aut C4112C4.19(C2^2xC28)448,1301
C4.20(C22xC28) = C7xC23.32C23φ: C22xC28/C2xC28 → C2 ⊆ Aut C4224C4.20(C2^2xC28)448,1302
C4.21(C22xC28) = C7xC23.33C23φ: C22xC28/C2xC28 → C2 ⊆ Aut C4224C4.21(C2^2xC28)448,1303
C4.22(C22xC28) = C14xC8oD4φ: C22xC28/C2xC28 → C2 ⊆ Aut C4224C4.22(C2^2xC28)448,1350
C4.23(C22xC28) = C7xQ8oM4(2)φ: C22xC28/C2xC28 → C2 ⊆ Aut C41124C4.23(C2^2xC28)448,1351
C4.24(C22xC28) = C14xC4.Q8φ: C22xC28/C22xC14 → C2 ⊆ Aut C4448C4.24(C2^2xC28)448,833
C4.25(C22xC28) = C14xC2.D8φ: C22xC28/C22xC14 → C2 ⊆ Aut C4448C4.25(C2^2xC28)448,834
C4.26(C22xC28) = C7xC23.25D4φ: C22xC28/C22xC14 → C2 ⊆ Aut C4224C4.26(C2^2xC28)448,835
C4.27(C22xC28) = C7xM4(2):C4φ: C22xC28/C22xC14 → C2 ⊆ Aut C4224C4.27(C2^2xC28)448,836
C4.28(C22xC28) = C14xC8.C4φ: C22xC28/C22xC14 → C2 ⊆ Aut C4224C4.28(C2^2xC28)448,837
C4.29(C22xC28) = C7xM4(2).C4φ: C22xC28/C22xC14 → C2 ⊆ Aut C41124C4.29(C2^2xC28)448,838
C4.30(C22xC28) = C14xC42:C2φ: C22xC28/C22xC14 → C2 ⊆ Aut C4224C4.30(C2^2xC28)448,1297
C4.31(C22xC28) = M4(2)xC2xC14φ: C22xC28/C22xC14 → C2 ⊆ Aut C4224C4.31(C2^2xC28)448,1349
C4.32(C22xC28) = C14xC8:C4central extension (φ=1)448C4.32(C2^2xC28)448,811
C4.33(C22xC28) = M4(2)xC28central extension (φ=1)224C4.33(C2^2xC28)448,812
C4.34(C22xC28) = C7xC8o2M4(2)central extension (φ=1)224C4.34(C2^2xC28)448,813
C4.35(C22xC28) = C14xM5(2)central extension (φ=1)224C4.35(C2^2xC28)448,911
C4.36(C22xC28) = C7xD4oC16central extension (φ=1)2242C4.36(C2^2xC28)448,912

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