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Cn
Dn
Sn
An
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Linear
Irr Reps
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Extensions 1→N→G→Q→1 with N=C5 and Q=C2xC4.10D4

Direct product G=NxQ with N=C5 and Q=C2xC4.10D4
dρLabelID
C10xC4.10D4160C10xC4.10D4320,913

Semidirect products G=N:Q with N=C5 and Q=C2xC4.10D4
extensionφ:Q→Aut NdρLabelID
C5:1(C2xC4.10D4) = C2xDic5.D4φ: C2xC4.10D4/C22xC4 → C4 ⊆ Aut C5160C5:1(C2xC4.10D4)320,1098
C5:2(C2xC4.10D4) = (C2xQ8).7F5φ: C2xC4.10D4/C2xQ8 → C4 ⊆ Aut C5808-C5:2(C2xC4.10D4)320,1127
C5:3(C2xC4.10D4) = D5xC4.10D4φ: C2xC4.10D4/C4.10D4 → C2 ⊆ Aut C5808-C5:3(C2xC4.10D4)320,377
C5:4(C2xC4.10D4) = C2xC4.12D20φ: C2xC4.10D4/C2xM4(2) → C2 ⊆ Aut C5160C5:4(C2xC4.10D4)320,763
C5:5(C2xC4.10D4) = C2xC20.10D4φ: C2xC4.10D4/C22xQ8 → C2 ⊆ Aut C5160C5:5(C2xC4.10D4)320,853


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