Extensions 1→N→G→Q→1 with N=C5 and Q=S3×C22×C4

Direct product G=N×Q with N=C5 and Q=S3×C22×C4
dρLabelID
S3×C22×C20240S3xC2^2xC20480,1151

Semidirect products G=N:Q with N=C5 and Q=S3×C22×C4
extensionφ:Q→Aut NdρLabelID
C5⋊(S3×C22×C4) = C22×S3×F5φ: S3×C22×C4/C22×S3C4 ⊆ Aut C560C5:(S3xC2^2xC4)480,1197
C52(S3×C22×C4) = S3×C2×C4×D5φ: S3×C22×C4/S3×C2×C4C2 ⊆ Aut C5120C5:2(S3xC2^2xC4)480,1086
C53(S3×C22×C4) = C22×D30.C2φ: S3×C22×C4/C22×Dic3C2 ⊆ Aut C5240C5:3(S3xC2^2xC4)480,1117
C54(S3×C22×C4) = C22×C4×D15φ: S3×C22×C4/C22×C12C2 ⊆ Aut C5240C5:4(S3xC2^2xC4)480,1166
C55(S3×C22×C4) = C22×S3×Dic5φ: S3×C22×C4/S3×C23C2 ⊆ Aut C5240C5:5(S3xC2^2xC4)480,1115


׿
×
𝔽