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

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

Semidirect products G=N:Q with N=C7 and Q=C22.53C24
extensionφ:Q→Aut NdρLabelID
C7⋊1(C22.53C24) = C42.114D14φ: C22.53C24/C4×D4 → C2 ⊆ Aut C7224C7:1(C2^2.53C2^4)448,1012
C7⋊2(C22.53C24) = C42.136D14φ: C22.53C24/C4×Q8 → C2 ⊆ Aut C7224C7:2(C2^2.53C2^4)448,1038
C7⋊3(C22.53C24) = C14.672+ 1+4φ: C22.53C24/C22.D4 → C2 ⊆ Aut C7224C7:3(C2^2.53C2^4)448,1117
C7⋊4(C22.53C24) = C42.143D14φ: C22.53C24/C4.4D4 → C2 ⊆ Aut C7224C7:4(C2^2.53C2^4)448,1134
C7⋊5(C22.53C24) = C42.166D14φ: C22.53C24/C4⋊1D4 → C2 ⊆ Aut C7224C7:5(C2^2.53C2^4)448,1166


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