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Cn
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Irr Reps
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Extensions 1→N→G→Q→1 with N=C5 and Q=Q8:5D4

Direct product G=NxQ with N=C5 and Q=Q8:5D4
dρLabelID
C5xQ8:5D4160C5xQ8:5D4320,1550

Semidirect products G=N:Q with N=C5 and Q=Q8:5D4
extensionφ:Q→Aut NdρLabelID
C5:1(Q8:5D4) = Dic10:23D4φ: Q8:5D4/C4xD4 → C2 ⊆ Aut C5160C5:1(Q8:5D4)320,1224
C5:2(Q8:5D4) = Q8:5D20φ: Q8:5D4/C4xQ8 → C2 ⊆ Aut C5160C5:2(Q8:5D4)320,1248
C5:3(Q8:5D4) = Dic10:19D4φ: Q8:5D4/C4:D4 → C2 ⊆ Aut C5160C5:3(Q8:5D4)320,1270
C5:4(Q8:5D4) = Dic10:22D4φ: Q8:5D4/C22:Q8 → C2 ⊆ Aut C5160C5:4(Q8:5D4)320,1305
C5:5(Q8:5D4) = Dic10:10D4φ: Q8:5D4/C4.4D4 → C2 ⊆ Aut C5160C5:5(Q8:5D4)320,1349
C5:6(Q8:5D4) = C10.452- 1+4φ: Q8:5D4/C22xQ8 → C2 ⊆ Aut C5160C5:6(Q8:5D4)320,1489
C5:7(Q8:5D4) = C10.1072- 1+4φ: Q8:5D4/C2xC4oD4 → C2 ⊆ Aut C5160C5:7(Q8:5D4)320,1503


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