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Extensions 1→N→G→Q→1 with N=C22 and Q=C7xC4oD4

Direct product G=NxQ with N=C22 and Q=C7xC4oD4
dρLabelID
C4oD4xC2xC14224C4oD4xC2xC14448,1388

Semidirect products G=N:Q with N=C22 and Q=C7xC4oD4
extensionφ:Q→Aut NdρLabelID
C22:1(C7xC4oD4) = C7xC22.19C24φ: C7xC4oD4/C2xC28 → C2 ⊆ Aut C22112C2^2:1(C7xC4oD4)448,1308
C22:2(C7xC4oD4) = C7xD4:5D4φ: C7xC4oD4/C7xD4 → C2 ⊆ Aut C22112C2^2:2(C7xC4oD4)448,1329
C22:3(C7xC4oD4) = C7xQ8:5D4φ: C7xC4oD4/C7xQ8 → C2 ⊆ Aut C22224C2^2:3(C7xC4oD4)448,1331

Non-split extensions G=N.Q with N=C22 and Q=C7xC4oD4
extensionφ:Q→Aut NdρLabelID
C22.1(C7xC4oD4) = C7xC8oD8φ: C7xC4oD4/C2xC28 → C2 ⊆ Aut C221122C2^2.1(C7xC4oD4)448,851
C22.2(C7xC4oD4) = C7xC8.26D4φ: C7xC4oD4/C2xC28 → C2 ⊆ Aut C221124C2^2.2(C7xC4oD4)448,852
C22.3(C7xC4oD4) = C7xC23.36C23φ: C7xC4oD4/C2xC28 → C2 ⊆ Aut C22224C2^2.3(C7xC4oD4)448,1312
C22.4(C7xC4oD4) = C7xC22.32C24φ: C7xC4oD4/C2xC28 → C2 ⊆ Aut C22112C2^2.4(C7xC4oD4)448,1321
C22.5(C7xC4oD4) = C7xC22.33C24φ: C7xC4oD4/C2xC28 → C2 ⊆ Aut C22224C2^2.5(C7xC4oD4)448,1322
C22.6(C7xC4oD4) = C7xD4.3D4φ: C7xC4oD4/C7xD4 → C2 ⊆ Aut C221124C2^2.6(C7xC4oD4)448,879
C22.7(C7xC4oD4) = C7xD4.4D4φ: C7xC4oD4/C7xD4 → C2 ⊆ Aut C221124C2^2.7(C7xC4oD4)448,880
C22.8(C7xC4oD4) = C7xD4.5D4φ: C7xC4oD4/C7xD4 → C2 ⊆ Aut C222244C2^2.8(C7xC4oD4)448,881
C22.9(C7xC4oD4) = C7xC22.45C24φ: C7xC4oD4/C7xD4 → C2 ⊆ Aut C22112C2^2.9(C7xC4oD4)448,1334
C22.10(C7xC4oD4) = C7xC22.46C24φ: C7xC4oD4/C7xD4 → C2 ⊆ Aut C22224C2^2.10(C7xC4oD4)448,1335
C22.11(C7xC4oD4) = C7xC22.47C24φ: C7xC4oD4/C7xQ8 → C2 ⊆ Aut C22224C2^2.11(C7xC4oD4)448,1336
C22.12(C7xC4oD4) = C7xC42:4C4central extension (φ=1)448C2^2.12(C7xC4oD4)448,784
C22.13(C7xC4oD4) = C22:C4xC28central extension (φ=1)224C2^2.13(C7xC4oD4)448,785
C22.14(C7xC4oD4) = C4:C4xC28central extension (φ=1)448C2^2.14(C7xC4oD4)448,786
C22.15(C7xC4oD4) = C7xC23.7Q8central extension (φ=1)224C2^2.15(C7xC4oD4)448,788
C22.16(C7xC4oD4) = C7xC23.34D4central extension (φ=1)224C2^2.16(C7xC4oD4)448,789
C22.17(C7xC4oD4) = C7xC42:8C4central extension (φ=1)448C2^2.17(C7xC4oD4)448,790
C22.18(C7xC4oD4) = C7xC42:5C4central extension (φ=1)448C2^2.18(C7xC4oD4)448,791
C22.19(C7xC4oD4) = C7xC23.8Q8central extension (φ=1)224C2^2.19(C7xC4oD4)448,793
C22.20(C7xC4oD4) = C7xC23.23D4central extension (φ=1)224C2^2.20(C7xC4oD4)448,794
C22.21(C7xC4oD4) = C7xC23.63C23central extension (φ=1)448C2^2.21(C7xC4oD4)448,795
C22.22(C7xC4oD4) = C7xC24.C22central extension (φ=1)224C2^2.22(C7xC4oD4)448,796
C22.23(C7xC4oD4) = C7xC23.65C23central extension (φ=1)448C2^2.23(C7xC4oD4)448,797
C22.24(C7xC4oD4) = C7xC24.3C22central extension (φ=1)224C2^2.24(C7xC4oD4)448,798
C22.25(C7xC4oD4) = C7xC23.67C23central extension (φ=1)448C2^2.25(C7xC4oD4)448,799
C22.26(C7xC4oD4) = C14xC42:C2central extension (φ=1)224C2^2.26(C7xC4oD4)448,1297
C22.27(C7xC4oD4) = D4xC2xC28central extension (φ=1)224C2^2.27(C7xC4oD4)448,1298
C22.28(C7xC4oD4) = Q8xC2xC28central extension (φ=1)448C2^2.28(C7xC4oD4)448,1299
C22.29(C7xC4oD4) = C14xC4:D4central extension (φ=1)224C2^2.29(C7xC4oD4)448,1305
C22.30(C7xC4oD4) = C14xC22:Q8central extension (φ=1)224C2^2.30(C7xC4oD4)448,1306
C22.31(C7xC4oD4) = C14xC22.D4central extension (φ=1)224C2^2.31(C7xC4oD4)448,1307
C22.32(C7xC4oD4) = C14xC4.4D4central extension (φ=1)224C2^2.32(C7xC4oD4)448,1309
C22.33(C7xC4oD4) = C14xC42.C2central extension (φ=1)448C2^2.33(C7xC4oD4)448,1310
C22.34(C7xC4oD4) = C14xC42:2C2central extension (φ=1)224C2^2.34(C7xC4oD4)448,1311
C22.35(C7xC4oD4) = C7xC23:2D4central stem extension (φ=1)224C2^2.35(C7xC4oD4)448,800
C22.36(C7xC4oD4) = C7xC23:Q8central stem extension (φ=1)224C2^2.36(C7xC4oD4)448,801
C22.37(C7xC4oD4) = C7xC23.10D4central stem extension (φ=1)224C2^2.37(C7xC4oD4)448,802
C22.38(C7xC4oD4) = C7xC23.78C23central stem extension (φ=1)448C2^2.38(C7xC4oD4)448,803
C22.39(C7xC4oD4) = C7xC23.Q8central stem extension (φ=1)224C2^2.39(C7xC4oD4)448,804
C22.40(C7xC4oD4) = C7xC23.11D4central stem extension (φ=1)224C2^2.40(C7xC4oD4)448,805
C22.41(C7xC4oD4) = C7xC23.81C23central stem extension (φ=1)448C2^2.41(C7xC4oD4)448,806
C22.42(C7xC4oD4) = C7xC23.4Q8central stem extension (φ=1)224C2^2.42(C7xC4oD4)448,807
C22.43(C7xC4oD4) = C7xC23.83C23central stem extension (φ=1)448C2^2.43(C7xC4oD4)448,808
C22.44(C7xC4oD4) = C7xC23.84C23central stem extension (φ=1)448C2^2.44(C7xC4oD4)448,809

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