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Cn
Dn
Sn
An
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Linear
Irr Reps
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Extensions 1→N→G→Q→1 with N=C5 and Q=C23.7Q8

Direct product G=NxQ with N=C5 and Q=C23.7Q8
dρLabelID
C5xC23.7Q8160C5xC2^3.7Q8320,881

Semidirect products G=N:Q with N=C5 and Q=C23.7Q8
extensionφ:Q→Aut NdρLabelID
C5:(C23.7Q8) = D10:6(C4:C4)φ: C23.7Q8/C22xC4 → C4 ⊆ Aut C580C5:(C2^3.7Q8)320,1103
C5:2(C23.7Q8) = D10:2(C4:C4)φ: C23.7Q8/C2.C42 → C2 ⊆ Aut C5160C5:2(C2^3.7Q8)320,294
C5:3(C23.7Q8) = C24.44D10φ: C23.7Q8/C2xC22:C4 → C2 ⊆ Aut C5160C5:3(C2^3.7Q8)320,569
C5:4(C23.7Q8) = D10:4(C4:C4)φ: C23.7Q8/C2xC4:C4 → C2 ⊆ Aut C5160C5:4(C2^3.7Q8)320,614
C5:5(C23.7Q8) = C24.64D10φ: C23.7Q8/C23xC4 → C2 ⊆ Aut C5160C5:5(C2^3.7Q8)320,839


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