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Extensions 1→N→G→Q→1 with N=C5 and Q=C22.56C24

Direct product G=N×Q with N=C5 and Q=C22.56C24
dρLabelID
C5×C22.56C24160C5xC2^2.56C2^4320,1564

Semidirect products G=N:Q with N=C5 and Q=C22.56C24
extensionφ:Q→Aut NdρLabelID
C5⋊1(C22.56C24) = C10.742- 1+4φ: C22.56C24/C4⋊D4 → C2 ⊆ Aut C5160C5:1(C2^2.56C2^4)320,1293
C5⋊2(C22.56C24) = C10.262- 1+4φ: C22.56C24/C22⋊Q8 → C2 ⊆ Aut C5160C5:2(C2^2.56C2^4)320,1319
C5⋊3(C22.56C24) = C10.692+ 1+4φ: C22.56C24/C22.D4 → C2 ⊆ Aut C5160C5:3(C2^2.56C2^4)320,1339
C5⋊4(C22.56C24) = C42.145D10φ: C22.56C24/C4.4D4 → C2 ⊆ Aut C5160C5:4(C2^2.56C2^4)320,1356
C5⋊5(C22.56C24) = C42.158D10φ: C22.56C24/C42.C2 → C2 ⊆ Aut C5160C5:5(C2^2.56C2^4)320,1372


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