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Cn
Dn
Sn
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Linear
Irr Reps
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wr

Extensions 1→N→G→Q→1 with N=C5 and Q=D4:4D4

Direct product G=NxQ with N=C5 and Q=D4:4D4
dρLabelID
C5xD4:4D4404C5xD4:4D4320,954

Semidirect products G=N:Q with N=C5 and Q=D4:4D4
extensionφ:Q→Aut NdρLabelID
C5:1(D4:4D4) = D20:1D4φ: D4:4D4/C4.D4 → C2 ⊆ Aut C5408+C5:1(D4:4D4)320,374
C5:2(D4:4D4) = D4:4D20φ: D4:4D4/C4wrC2 → C2 ⊆ Aut C5404+C5:2(D4:4D4)320,449
C5:3(D4:4D4) = D20:5D4φ: D4:4D4/C4:1D4 → C2 ⊆ Aut C5404C5:3(D4:4D4)320,704
C5:4(D4:4D4) = D20:18D4φ: D4:4D4/C8:C22 → C2 ⊆ Aut C5408+C5:4(D4:4D4)320,825
C5:5(D4:4D4) = 2+ 1+4:D5φ: D4:4D4/2+ 1+4 → C2 ⊆ Aut C5408+C5:5(D4:4D4)320,868


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