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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=C8:2D4

Direct product G=NxQ with N=C5 and Q=C8:2D4
dρLabelID
C5xC8:2D4160C5xC8:2D4320,970

Semidirect products G=N:Q with N=C5 and Q=C8:2D4
extensionφ:Q→Aut NdρLabelID
C5:1(C8:2D4) = C5:(C8:2D4)φ: C8:2D4/D4:C4 → C2 ⊆ Aut C5160C5:1(C8:2D4)320,409
C5:2(C8:2D4) = C8:2D20φ: C8:2D4/C4.Q8 → C2 ⊆ Aut C5160C5:2(C8:2D4)320,492
C5:3(C8:2D4) = C4:D4:D5φ: C8:2D4/C4:D4 → C2 ⊆ Aut C5160C5:3(C8:2D4)320,666
C5:4(C8:2D4) = C40:3D4φ: C8:2D4/C2xM4(2) → C2 ⊆ Aut C5160C5:4(C8:2D4)320,762
C5:5(C8:2D4) = C40:12D4φ: C8:2D4/C2xD8 → C2 ⊆ Aut C5160C5:5(C8:2D4)320,786


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