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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=C8:3D4

Direct product G=NxQ with N=C5 and Q=C8:3D4
dρLabelID
C5xC8:3D4160C5xC8:3D4320,997

Semidirect products G=N:Q with N=C5 and Q=C8:3D4
extensionφ:Q→Aut NdρLabelID
C5:1(C8:3D4) = C8:D20φ: C8:3D4/C8:C4 → C2 ⊆ Aut C5160C5:1(C8:3D4)320,339
C5:2(C8:3D4) = C42.64D10φ: C8:3D4/C4.4D4 → C2 ⊆ Aut C5160C5:2(C8:3D4)320,685
C5:3(C8:3D4) = C42.74D10φ: C8:3D4/C4:1D4 → C2 ⊆ Aut C5160C5:3(C8:3D4)320,701
C5:4(C8:3D4) = C40:11D4φ: C8:3D4/C2xD8 → C2 ⊆ Aut C5160C5:4(C8:3D4)320,781
C5:5(C8:3D4) = C40:9D4φ: C8:3D4/C2xSD16 → C2 ⊆ Aut C5160C5:5(C8:3D4)320,803


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