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Cn
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Irr Reps
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Extensions 1→N→G→Q→1 with N=C3 and Q=D10.12D4

Direct product G=NxQ with N=C3 and Q=D10.12D4
dρLabelID
C3xD10.12D4240C3xD10.12D4480,676

Semidirect products G=N:Q with N=C3 and Q=D10.12D4
extensionφ:Q→Aut NdρLabelID
C3:1(D10.12D4) = D30.35D4φ: D10.12D4/C10.D4 → C2 ⊆ Aut C3240C3:1(D10.12D4)480,431
C3:2(D10.12D4) = D30.7D4φ: D10.12D4/C4:Dic5 → C2 ⊆ Aut C3240C3:2(D10.12D4)480,514
C3:3(D10.12D4) = D10.17D12φ: D10.12D4/D10:C4 → C2 ⊆ Aut C3240C3:3(D10.12D4)480,490
C3:4(D10.12D4) = D30.16D4φ: D10.12D4/C23.D5 → C2 ⊆ Aut C3240C3:4(D10.12D4)480,638
C3:5(D10.12D4) = D30.28D4φ: D10.12D4/C5xC22:C4 → C2 ⊆ Aut C3240C3:5(D10.12D4)480,848
C3:6(D10.12D4) = D6:C4:D5φ: D10.12D4/C2xC4xD5 → C2 ⊆ Aut C3240C3:6(D10.12D4)480,523
C3:7(D10.12D4) = C23.17(S3xD5)φ: D10.12D4/C2xC5:D4 → C2 ⊆ Aut C3240C3:7(D10.12D4)480,624


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