Extensions 1→N→G→Q→1 with N=C5 and Q=C2xC8:C22

Direct product G=NxQ with N=C5 and Q=C2xC8:C22
dρLabelID
C10xC8:C2280C10xC8:C2^2320,1575

Semidirect products G=N:Q with N=C5 and Q=C2xC8:C22
extensionφ:Q→Aut NdρLabelID
C5:1(C2xC8:C22) = C2xC8:D10φ: C2xC8:C22/C2xM4(2)C2 ⊆ Aut C580C5:1(C2xC8:C2^2)320,1418
C5:2(C2xC8:C22) = C2xD8:D5φ: C2xC8:C22/C2xD8C2 ⊆ Aut C580C5:2(C2xC8:C2^2)320,1427
C5:3(C2xC8:C22) = C2xD40:C2φ: C2xC8:C22/C2xSD16C2 ⊆ Aut C580C5:3(C2xC8:C2^2)320,1431
C5:4(C2xC8:C22) = D5xC8:C22φ: C2xC8:C22/C8:C22C2 ⊆ Aut C5408+C5:4(C2xC8:C2^2)320,1444
C5:5(C2xC8:C22) = C2xD4.D10φ: C2xC8:C22/C22xD4C2 ⊆ Aut C580C5:5(C2xC8:C2^2)320,1465
C5:6(C2xC8:C22) = C2xD4:D10φ: C2xC8:C22/C2xC4oD4C2 ⊆ Aut C580C5:6(C2xC8:C2^2)320,1492


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