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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=C2xC4.4D4

Direct product G=NxQ with N=C5 and Q=C2xC4.4D4
dρLabelID
C10xC4.4D4160C10xC4.4D4320,1528

Semidirect products G=N:Q with N=C5 and Q=C2xC4.4D4
extensionφ:Q→Aut NdρLabelID
C5:1(C2xC4.4D4) = C2xC4.D20φ: C2xC4.4D4/C2xC42 → C2 ⊆ Aut C5160C5:1(C2xC4.4D4)320,1148
C5:2(C2xC4.4D4) = C2xDic5.5D4φ: C2xC4.4D4/C2xC22:C4 → C2 ⊆ Aut C5160C5:2(C2xC4.4D4)320,1163
C5:3(C2xC4.4D4) = D5xC4.4D4φ: C2xC4.4D4/C4.4D4 → C2 ⊆ Aut C580C5:3(C2xC4.4D4)320,1345
C5:4(C2xC4.4D4) = C2xC20.17D4φ: C2xC4.4D4/C22xD4 → C2 ⊆ Aut C5160C5:4(C2xC4.4D4)320,1469
C5:5(C2xC4.4D4) = C2xC20.23D4φ: C2xC4.4D4/C22xQ8 → C2 ⊆ Aut C5160C5:5(C2xC4.4D4)320,1486


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