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Extensions 1→N→G→Q→1 with N=C5 and Q=C22.49C24

Direct product G=N×Q with N=C5 and Q=C22.49C24
dρLabelID
C5×C22.49C24160C5xC2^2.49C2^4320,1557

Semidirect products G=N:Q with N=C5 and Q=C22.49C24
extensionφ:Q→Aut NdρLabelID
C5⋊1(C22.49C24) = C42.97D10φ: C22.49C24/C42⋊C2 → C2 ⊆ Aut C5160C5:1(C2^2.49C2^4)320,1204
C5⋊2(C22.49C24) = C42.117D10φ: C22.49C24/C4×D4 → C2 ⊆ Aut C5160C5:2(C2^2.49C2^4)320,1235
C5⋊3(C22.49C24) = C10.452+ 1+4φ: C22.49C24/C4⋊D4 → C2 ⊆ Aut C5160C5:3(C2^2.49C2^4)320,1288
C5⋊4(C22.49C24) = C42.138D10φ: C22.49C24/C4.4D4 → C2 ⊆ Aut C5160C5:4(C2^2.49C2^4)320,1342
C5⋊5(C22.49C24) = C42.179D10φ: C22.49C24/C4⋊Q8 → C2 ⊆ Aut C5160C5:5(C2^2.49C2^4)320,1406


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