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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=C2xC8.C4

Direct product G=NxQ with N=C5 and Q=C2xC8.C4
dρLabelID
C10xC8.C4160C10xC8.C4320,930

Semidirect products G=N:Q with N=C5 and Q=C2xC8.C4
extensionφ:Q→Aut NdρLabelID
C5:1(C2xC8.C4) = C2xC40.C4φ: C2xC8.C4/C2xC8 → C4 ⊆ Aut C5160C5:1(C2xC8.C4)320,1060
C5:2(C2xC8.C4) = C2xD10.Q8φ: C2xC8.C4/C2xC8 → C4 ⊆ Aut C5160C5:2(C2xC8.C4)320,1061
C5:3(C2xC8.C4) = (C8xD5).C4φ: C2xC8.C4/C2xC8 → C4 ⊆ Aut C5804C5:3(C2xC8.C4)320,1062
C5:4(C2xC8.C4) = D5xC8.C4φ: C2xC8.C4/C8.C4 → C2 ⊆ Aut C5804C5:4(C2xC8.C4)320,519
C5:5(C2xC8.C4) = C2xC40.6C4φ: C2xC8.C4/C22xC8 → C2 ⊆ Aut C5160C5:5(C2xC8.C4)320,734
C5:6(C2xC8.C4) = C2xC20.53D4φ: C2xC8.C4/C2xM4(2) → C2 ⊆ Aut C5160C5:6(C2xC8.C4)320,750


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