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Cn
Dn
Sn
An
Degree
Linear
Irr Reps
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Extensions 1→N→G→Q→1 with N=C5 and Q=C22.4Q16

Direct product G=NxQ with N=C5 and Q=C22.4Q16
dρLabelID
C5xC22.4Q16320C5xC2^2.4Q16320,145

Semidirect products G=N:Q with N=C5 and Q=C22.4Q16
extensionφ:Q→Aut NdρLabelID
C5:1(C22.4Q16) = D10.18D8φ: C22.4Q16/C4:C4 → C4 ⊆ Aut C580C5:1(C2^2.4Q16)320,212
C5:2(C22.4Q16) = D10.10D8φ: C22.4Q16/C2xC8 → C4 ⊆ Aut C580C5:2(C2^2.4Q16)320,231
C5:3(C22.4Q16) = C20.31C42φ: C22.4Q16/C2xC4:C4 → C2 ⊆ Aut C5320C5:3(C2^2.4Q16)320,87
C5:4(C22.4Q16) = C20.39C42φ: C22.4Q16/C22xC8 → C2 ⊆ Aut C5320C5:4(C2^2.4Q16)320,109


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