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Cn
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Extensions 1→N→G→Q→1 with N=C3 and Q=C5xC4.4D4

Direct product G=NxQ with N=C3 and Q=C5xC4.4D4
dρLabelID
C15xC4.4D4240C15xC4.4D4480,929

Semidirect products G=N:Q with N=C3 and Q=C5xC4.4D4
extensionφ:Q→Aut NdρLabelID
C3:1(C5xC4.4D4) = C5xC42:7S3φ: C5xC4.4D4/C4xC20 → C2 ⊆ Aut C3240C3:1(C5xC4.4D4)480,754
C3:2(C5xC4.4D4) = C5xC23.11D6φ: C5xC4.4D4/C5xC22:C4 → C2 ⊆ Aut C3240C3:2(C5xC4.4D4)480,764
C3:3(C5xC4.4D4) = C5xC23.12D6φ: C5xC4.4D4/D4xC10 → C2 ⊆ Aut C3240C3:3(C5xC4.4D4)480,815
C3:4(C5xC4.4D4) = C5xC12.23D4φ: C5xC4.4D4/Q8xC10 → C2 ⊆ Aut C3240C3:4(C5xC4.4D4)480,826


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