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Extensions 1→N→G→Q→1 with N=C5 and Q=C22.53C24

Direct product G=N×Q with N=C5 and Q=C22.53C24
dρLabelID
C5×C22.53C24160C5xC2^2.53C2^4320,1561

Semidirect products G=N:Q with N=C5 and Q=C22.53C24
extensionφ:Q→Aut NdρLabelID
C5⋊1(C22.53C24) = C42.114D10φ: C22.53C24/C4×D4 → C2 ⊆ Aut C5160C5:1(C2^2.53C2^4)320,1231
C5⋊2(C22.53C24) = C42.136D10φ: C22.53C24/C4×Q8 → C2 ⊆ Aut C5160C5:2(C2^2.53C2^4)320,1257
C5⋊3(C22.53C24) = C10.672+ 1+4φ: C22.53C24/C22.D4 → C2 ⊆ Aut C5160C5:3(C2^2.53C2^4)320,1336
C5⋊4(C22.53C24) = C42.143D10φ: C22.53C24/C4.4D4 → C2 ⊆ Aut C5160C5:4(C2^2.53C2^4)320,1353
C5⋊5(C22.53C24) = C42.166D10φ: C22.53C24/C4⋊1D4 → C2 ⊆ Aut C5160C5:5(C2^2.53C2^4)320,1385


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