Extensions 1→N→G→Q→1 with N=C22 and Q=C7×C4○D4

Direct product G=N×Q with N=C22 and Q=C7×C4○D4
dρLabelID
C4○D4×C2×C14224C4oD4xC2xC14448,1388

Semidirect products G=N:Q with N=C22 and Q=C7×C4○D4
extensionφ:Q→Aut NdρLabelID
C221(C7×C4○D4) = C7×C22.19C24φ: C7×C4○D4/C2×C28C2 ⊆ Aut C22112C2^2:1(C7xC4oD4)448,1308
C222(C7×C4○D4) = C7×D45D4φ: C7×C4○D4/C7×D4C2 ⊆ Aut C22112C2^2:2(C7xC4oD4)448,1329
C223(C7×C4○D4) = C7×Q85D4φ: C7×C4○D4/C7×Q8C2 ⊆ Aut C22224C2^2:3(C7xC4oD4)448,1331

Non-split extensions G=N.Q with N=C22 and Q=C7×C4○D4
extensionφ:Q→Aut NdρLabelID
C22.1(C7×C4○D4) = C7×C8○D8φ: C7×C4○D4/C2×C28C2 ⊆ Aut C221122C2^2.1(C7xC4oD4)448,851
C22.2(C7×C4○D4) = C7×C8.26D4φ: C7×C4○D4/C2×C28C2 ⊆ Aut C221124C2^2.2(C7xC4oD4)448,852
C22.3(C7×C4○D4) = C7×C23.36C23φ: C7×C4○D4/C2×C28C2 ⊆ Aut C22224C2^2.3(C7xC4oD4)448,1312
C22.4(C7×C4○D4) = C7×C22.32C24φ: C7×C4○D4/C2×C28C2 ⊆ Aut C22112C2^2.4(C7xC4oD4)448,1321
C22.5(C7×C4○D4) = C7×C22.33C24φ: C7×C4○D4/C2×C28C2 ⊆ Aut C22224C2^2.5(C7xC4oD4)448,1322
C22.6(C7×C4○D4) = C7×D4.3D4φ: C7×C4○D4/C7×D4C2 ⊆ Aut C221124C2^2.6(C7xC4oD4)448,879
C22.7(C7×C4○D4) = C7×D4.4D4φ: C7×C4○D4/C7×D4C2 ⊆ Aut C221124C2^2.7(C7xC4oD4)448,880
C22.8(C7×C4○D4) = C7×D4.5D4φ: C7×C4○D4/C7×D4C2 ⊆ Aut C222244C2^2.8(C7xC4oD4)448,881
C22.9(C7×C4○D4) = C7×C22.45C24φ: C7×C4○D4/C7×D4C2 ⊆ Aut C22112C2^2.9(C7xC4oD4)448,1334
C22.10(C7×C4○D4) = C7×C22.46C24φ: C7×C4○D4/C7×D4C2 ⊆ Aut C22224C2^2.10(C7xC4oD4)448,1335
C22.11(C7×C4○D4) = C7×C22.47C24φ: C7×C4○D4/C7×Q8C2 ⊆ Aut C22224C2^2.11(C7xC4oD4)448,1336
C22.12(C7×C4○D4) = C7×C424C4central extension (φ=1)448C2^2.12(C7xC4oD4)448,784
C22.13(C7×C4○D4) = C22⋊C4×C28central extension (φ=1)224C2^2.13(C7xC4oD4)448,785
C22.14(C7×C4○D4) = C4⋊C4×C28central extension (φ=1)448C2^2.14(C7xC4oD4)448,786
C22.15(C7×C4○D4) = C7×C23.7Q8central extension (φ=1)224C2^2.15(C7xC4oD4)448,788
C22.16(C7×C4○D4) = C7×C23.34D4central extension (φ=1)224C2^2.16(C7xC4oD4)448,789
C22.17(C7×C4○D4) = C7×C428C4central extension (φ=1)448C2^2.17(C7xC4oD4)448,790
C22.18(C7×C4○D4) = C7×C425C4central extension (φ=1)448C2^2.18(C7xC4oD4)448,791
C22.19(C7×C4○D4) = C7×C23.8Q8central extension (φ=1)224C2^2.19(C7xC4oD4)448,793
C22.20(C7×C4○D4) = C7×C23.23D4central extension (φ=1)224C2^2.20(C7xC4oD4)448,794
C22.21(C7×C4○D4) = C7×C23.63C23central extension (φ=1)448C2^2.21(C7xC4oD4)448,795
C22.22(C7×C4○D4) = C7×C24.C22central extension (φ=1)224C2^2.22(C7xC4oD4)448,796
C22.23(C7×C4○D4) = C7×C23.65C23central extension (φ=1)448C2^2.23(C7xC4oD4)448,797
C22.24(C7×C4○D4) = C7×C24.3C22central extension (φ=1)224C2^2.24(C7xC4oD4)448,798
C22.25(C7×C4○D4) = C7×C23.67C23central extension (φ=1)448C2^2.25(C7xC4oD4)448,799
C22.26(C7×C4○D4) = C14×C42⋊C2central extension (φ=1)224C2^2.26(C7xC4oD4)448,1297
C22.27(C7×C4○D4) = D4×C2×C28central extension (φ=1)224C2^2.27(C7xC4oD4)448,1298
C22.28(C7×C4○D4) = Q8×C2×C28central extension (φ=1)448C2^2.28(C7xC4oD4)448,1299
C22.29(C7×C4○D4) = C14×C4⋊D4central extension (φ=1)224C2^2.29(C7xC4oD4)448,1305
C22.30(C7×C4○D4) = C14×C22⋊Q8central extension (φ=1)224C2^2.30(C7xC4oD4)448,1306
C22.31(C7×C4○D4) = C14×C22.D4central extension (φ=1)224C2^2.31(C7xC4oD4)448,1307
C22.32(C7×C4○D4) = C14×C4.4D4central extension (φ=1)224C2^2.32(C7xC4oD4)448,1309
C22.33(C7×C4○D4) = C14×C42.C2central extension (φ=1)448C2^2.33(C7xC4oD4)448,1310
C22.34(C7×C4○D4) = C14×C422C2central extension (φ=1)224C2^2.34(C7xC4oD4)448,1311
C22.35(C7×C4○D4) = C7×C232D4central stem extension (φ=1)224C2^2.35(C7xC4oD4)448,800
C22.36(C7×C4○D4) = C7×C23⋊Q8central stem extension (φ=1)224C2^2.36(C7xC4oD4)448,801
C22.37(C7×C4○D4) = C7×C23.10D4central stem extension (φ=1)224C2^2.37(C7xC4oD4)448,802
C22.38(C7×C4○D4) = C7×C23.78C23central stem extension (φ=1)448C2^2.38(C7xC4oD4)448,803
C22.39(C7×C4○D4) = C7×C23.Q8central stem extension (φ=1)224C2^2.39(C7xC4oD4)448,804
C22.40(C7×C4○D4) = C7×C23.11D4central stem extension (φ=1)224C2^2.40(C7xC4oD4)448,805
C22.41(C7×C4○D4) = C7×C23.81C23central stem extension (φ=1)448C2^2.41(C7xC4oD4)448,806
C22.42(C7×C4○D4) = C7×C23.4Q8central stem extension (φ=1)224C2^2.42(C7xC4oD4)448,807
C22.43(C7×C4○D4) = C7×C23.83C23central stem extension (φ=1)448C2^2.43(C7xC4oD4)448,808
C22.44(C7×C4○D4) = C7×C23.84C23central stem extension (φ=1)448C2^2.44(C7xC4oD4)448,809

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