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Cn
Dn
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Linear
Irr Reps
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Extensions 1→N→G→Q→1 with N=C5 and Q=C23.31D4

Direct product G=NxQ with N=C5 and Q=C23.31D4
dρLabelID
C5xC23.31D480C5xC2^3.31D4320,133

Semidirect products G=N:Q with N=C5 and Q=C23.31D4
extensionφ:Q→Aut NdρLabelID
C5:1(C23.31D4) = D10.1Q16φ: C23.31D4/C4:C4 → C4 ⊆ Aut C580C5:1(C2^3.31D4)320,207
C5:2(C23.31D4) = D10.Q16φ: C23.31D4/C2xQ8 → C4 ⊆ Aut C580C5:2(C2^3.31D4)320,264
C5:3(C23.31D4) = C4:Dic5:C4φ: C23.31D4/C2.C42 → C2 ⊆ Aut C580C5:3(C2^3.31D4)320,10
C5:4(C23.31D4) = C23.30D20φ: C23.31D4/C22:C8 → C2 ⊆ Aut C580C5:4(C2^3.31D4)320,25
C5:5(C23.31D4) = C10.29C4wrC2φ: C23.31D4/C22:Q8 → C2 ⊆ Aut C580C5:5(C2^3.31D4)320,96


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