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Cn
Dn
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Irr Reps
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Extensions 1→N→G→Q→1 with N=C5 and Q=C2xC22.D4

Direct product G=NxQ with N=C5 and Q=C2xC22.D4
dρLabelID
C10xC22.D4160C10xC2^2.D4320,1526

Semidirect products G=N:Q with N=C5 and Q=C2xC22.D4
extensionφ:Q→Aut NdρLabelID
C5:1(C2xC22.D4) = C2xD10.12D4φ: C2xC22.D4/C2xC22:C4 → C2 ⊆ Aut C5160C5:1(C2xC2^2.D4)320,1160
C5:2(C2xC22.D4) = C2xC22.D20φ: C2xC22.D4/C2xC22:C4 → C2 ⊆ Aut C5160C5:2(C2xC2^2.D4)320,1164
C5:3(C2xC22.D4) = C2xD10.13D4φ: C2xC22.D4/C2xC4:C4 → C2 ⊆ Aut C5160C5:3(C2xC2^2.D4)320,1177
C5:4(C2xC22.D4) = D5xC22.D4φ: C2xC22.D4/C22.D4 → C2 ⊆ Aut C580C5:4(C2xC2^2.D4)320,1324
C5:5(C2xC22.D4) = C2xC23.23D10φ: C2xC22.D4/C23xC4 → C2 ⊆ Aut C5160C5:5(C2xC2^2.D4)320,1461
C5:6(C2xC22.D4) = C2xC23.18D10φ: C2xC22.D4/C22xD4 → C2 ⊆ Aut C5160C5:6(C2xC2^2.D4)320,1468


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