Extensions 1→N→G→Q→1 with N=C5 and Q=C6xC22:C4

Direct product G=NxQ with N=C5 and Q=C6xC22:C4
dρLabelID
C22:C4xC30240C2^2:C4xC30480,920

Semidirect products G=N:Q with N=C5 and Q=C6xC22:C4
extensionφ:Q→Aut NdρLabelID
C5:(C6xC22:C4) = C6xC22:F5φ: C6xC22:C4/C22xC6C4 ⊆ Aut C5120C5:(C6xC2^2:C4)480,1059
C5:2(C6xC22:C4) = C3xD5xC22:C4φ: C6xC22:C4/C3xC22:C4C2 ⊆ Aut C5120C5:2(C6xC2^2:C4)480,673
C5:3(C6xC22:C4) = C6xD10:C4φ: C6xC22:C4/C22xC12C2 ⊆ Aut C5240C5:3(C6xC2^2:C4)480,720
C5:4(C6xC22:C4) = C6xC23.D5φ: C6xC22:C4/C23xC6C2 ⊆ Aut C5240C5:4(C6xC2^2:C4)480,745


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