Extensions 1→N→G→Q→1 with N=C5 and Q=C2xS3xQ8

Direct product G=NxQ with N=C5 and Q=C2xS3xQ8
dρLabelID
S3xQ8xC10240S3xQ8xC10480,1157

Semidirect products G=N:Q with N=C5 and Q=C2xS3xQ8
extensionφ:Q→Aut NdρLabelID
C5:1(C2xS3xQ8) = C2xD15:Q8φ: C2xS3xQ8/C2xDic6C2 ⊆ Aut C5240C5:1(C2xS3xQ8)480,1082
C5:2(C2xS3xQ8) = C2xS3xDic10φ: C2xS3xQ8/S3xC2xC4C2 ⊆ Aut C5240C5:2(C2xS3xQ8)480,1078
C5:3(C2xS3xQ8) = S3xQ8xD5φ: C2xS3xQ8/S3xQ8C2 ⊆ Aut C51208-C5:3(C2xS3xQ8)480,1107
C5:4(C2xS3xQ8) = C2xQ8xD15φ: C2xS3xQ8/C6xQ8C2 ⊆ Aut C5240C5:4(C2xS3xQ8)480,1172


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