Extensions 1→N→G→Q→1 with N=C7 and Q=C22.33C24

Direct product G=N×Q with N=C7 and Q=C22.33C24
dρLabelID
C7×C22.33C24224C7xC2^2.33C2^4448,1322

Semidirect products G=N:Q with N=C7 and Q=C22.33C24
extensionφ:Q→Aut NdρLabelID
C71(C22.33C24) = C14.62- 1+4φ: C22.33C24/C2×C4⋊C4C2 ⊆ Aut C7224C7:1(C2^2.33C2^4)448,968
C72(C22.33C24) = C42.118D14φ: C22.33C24/C4×D4C2 ⊆ Aut C7224C7:2(C2^2.33C2^4)448,1017
C73(C22.33C24) = C14.352+ 1+4φ: C22.33C24/C4⋊D4C2 ⊆ Aut C7224C7:3(C2^2.33C2^4)448,1055
C74(C22.33C24) = C14.202- 1+4φ: C22.33C24/C22⋊Q8C2 ⊆ Aut C7224C7:4(C2^2.33C2^4)448,1091
C75(C22.33C24) = C14.572+ 1+4φ: C22.33C24/C22⋊Q8C2 ⊆ Aut C7224C7:5(C2^2.33C2^4)448,1098
C76(C22.33C24) = C14.832- 1+4φ: C22.33C24/C22.D4C2 ⊆ Aut C7224C7:6(C2^2.33C2^4)448,1113
C77(C22.33C24) = C14.852- 1+4φ: C22.33C24/C22.D4C2 ⊆ Aut C7224C7:7(C2^2.33C2^4)448,1118
C78(C22.33C24) = C42.150D14φ: C22.33C24/C42.C2C2 ⊆ Aut C7224C7:8(C2^2.33C2^4)448,1145
C79(C22.33C24) = C42.161D14φ: C22.33C24/C422C2C2 ⊆ Aut C7224C7:9(C2^2.33C2^4)448,1160


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