Extensions 1→N→G→Q→1 with N=C7 and Q=C22.53C24

Direct product G=NxQ with N=C7 and Q=C22.53C24
dρLabelID
C7xC22.53C24224C7xC2^2.53C2^4448,1342

Semidirect products G=N:Q with N=C7 and Q=C22.53C24
extensionφ:Q→Aut NdρLabelID
C7:1(C22.53C24) = C42.114D14φ: C22.53C24/C4xD4C2 ⊆ Aut C7224C7:1(C2^2.53C2^4)448,1012
C7:2(C22.53C24) = C42.136D14φ: C22.53C24/C4xQ8C2 ⊆ Aut C7224C7:2(C2^2.53C2^4)448,1038
C7:3(C22.53C24) = C14.672+ 1+4φ: C22.53C24/C22.D4C2 ⊆ Aut C7224C7:3(C2^2.53C2^4)448,1117
C7:4(C22.53C24) = C42.143D14φ: C22.53C24/C4.4D4C2 ⊆ Aut C7224C7:4(C2^2.53C2^4)448,1134
C7:5(C22.53C24) = C42.166D14φ: C22.53C24/C4:1D4C2 ⊆ Aut C7224C7:5(C2^2.53C2^4)448,1166


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