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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=C4.4D4

Direct product G=NxQ with N=C5 and Q=C4.4D4
dρLabelID
C5xC4.4D480C5xC4.4D4160,185

Semidirect products G=N:Q with N=C5 and Q=C4.4D4
extensionφ:Q→Aut NdρLabelID
C5:1(C4.4D4) = C4.D20φ: C4.4D4/C42 → C2 ⊆ Aut C580C5:1(C4.4D4)160,96
C5:2(C4.4D4) = Dic5.5D4φ: C4.4D4/C22:C4 → C2 ⊆ Aut C580C5:2(C4.4D4)160,106
C5:3(C4.4D4) = C20.17D4φ: C4.4D4/C2xD4 → C2 ⊆ Aut C580C5:3(C4.4D4)160,157
C5:4(C4.4D4) = C20.23D4φ: C4.4D4/C2xQ8 → C2 ⊆ Aut C580C5:4(C4.4D4)160,168


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