Extensions 1→N→G→Q→1 with N=C5 and Q=C2×S3×Q8

Direct product G=N×Q with N=C5 and Q=C2×S3×Q8
dρLabelID
S3×Q8×C10240S3xQ8xC10480,1157

Semidirect products G=N:Q with N=C5 and Q=C2×S3×Q8
extensionφ:Q→Aut NdρLabelID
C51(C2×S3×Q8) = C2×D15⋊Q8φ: C2×S3×Q8/C2×Dic6C2 ⊆ Aut C5240C5:1(C2xS3xQ8)480,1082
C52(C2×S3×Q8) = C2×S3×Dic10φ: C2×S3×Q8/S3×C2×C4C2 ⊆ Aut C5240C5:2(C2xS3xQ8)480,1078
C53(C2×S3×Q8) = S3×Q8×D5φ: C2×S3×Q8/S3×Q8C2 ⊆ Aut C51208-C5:3(C2xS3xQ8)480,1107
C54(C2×S3×Q8) = C2×Q8×D15φ: C2×S3×Q8/C6×Q8C2 ⊆ Aut C5240C5:4(C2xS3xQ8)480,1172


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