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Extensions 1→N→G→Q→1 with N=C5 and Q=C22.57C24

Direct product G=N×Q with N=C5 and Q=C22.57C24
dρLabelID
C5×C22.57C24160C5xC2^2.57C2^4320,1565

Semidirect products G=N:Q with N=C5 and Q=C22.57C24
extensionφ:Q→Aut NdρLabelID
C5⋊1(C22.57C24) = C10.582+ 1+4φ: C22.57C24/C22⋊Q8 → C2 ⊆ Aut C5160C5:1(C2^2.57C2^4)320,1318
C5⋊2(C22.57C24) = C10.812- 1+4φ: C22.57C24/C22.D4 → C2 ⊆ Aut C5160C5:2(C2^2.57C2^4)320,1323
C5⋊3(C22.57C24) = C42.140D10φ: C22.57C24/C4.4D4 → C2 ⊆ Aut C5160C5:3(C2^2.57C2^4)320,1344
C5⋊4(C22.57C24) = C42.157D10φ: C22.57C24/C42.C2 → C2 ⊆ Aut C5160C5:4(C2^2.57C2^4)320,1371
C5⋊5(C22.57C24) = C42.165D10φ: C22.57C24/C42⋊2C2 → C2 ⊆ Aut C5160C5:5(C2^2.57C2^4)320,1384
C5⋊6(C22.57C24) = C42.180D10φ: C22.57C24/C4⋊Q8 → C2 ⊆ Aut C5160C5:6(C2^2.57C2^4)320,1407


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