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Cn
Dn
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Irr Reps
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Extensions 1→N→G→Q→1 with N=C5 and Q=Q8:3Q8

Direct product G=NxQ with N=C5 and Q=Q8:3Q8
dρLabelID
C5xQ8:3Q8320C5xQ8:3Q8320,1559

Semidirect products G=N:Q with N=C5 and Q=Q8:3Q8
extensionφ:Q→Aut NdρLabelID
C5:1(Q8:3Q8) = Dic10:10Q8φ: Q8:3Q8/C4xQ8 → C2 ⊆ Aut C5320C5:1(Q8:3Q8)320,1239
C5:2(Q8:3Q8) = Q8:5Dic10φ: Q8:3Q8/C4xQ8 → C2 ⊆ Aut C5320C5:2(Q8:3Q8)320,1241
C5:3(Q8:3Q8) = Q8:6Dic10φ: Q8:3Q8/C4xQ8 → C2 ⊆ Aut C5320C5:3(Q8:3Q8)320,1242
C5:4(Q8:3Q8) = Dic10:7Q8φ: Q8:3Q8/C42.C2 → C2 ⊆ Aut C5320C5:4(Q8:3Q8)320,1357
C5:5(Q8:3Q8) = Dic10:8Q8φ: Q8:3Q8/C4:Q8 → C2 ⊆ Aut C5320C5:5(Q8:3Q8)320,1393


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