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Cn
Dn
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Linear
Irr Reps
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Extensions 1→N→G→Q→1 with N=C3 and Q=D4.8D4

Direct product G=NxQ with N=C3 and Q=D4.8D4
dρLabelID
C3xD4.8D4484C3xD4.8D4192,887

Semidirect products G=N:Q with N=C3 and Q=D4.8D4
extensionφ:Q→Aut NdρLabelID
C3:1(D4.8D4) = D12.5D4φ: D4.8D4/C4.10D4 → C2 ⊆ Aut C3488+C3:1(D4.8D4)192,312
C3:2(D4.8D4) = D4.10D12φ: D4.8D4/C4wrC2 → C2 ⊆ Aut C3484C3:2(D4.8D4)192,386
C3:3(D4.8D4) = D12.14D4φ: D4.8D4/C4.4D4 → C2 ⊆ Aut C3484C3:3(D4.8D4)192,621
C3:4(D4.8D4) = D12.38D4φ: D4.8D4/C8:C22 → C2 ⊆ Aut C3488-C3:4(D4.8D4)192,760
C3:5(D4.8D4) = 2- 1+4:4S3φ: D4.8D4/2- 1+4 → C2 ⊆ Aut C3488+C3:5(D4.8D4)192,804


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