Extensions 1→N→G→Q→1 with N=C5 and Q=S3×C2×C4

Direct product G=N×Q with N=C5 and Q=S3×C2×C4
dρLabelID
S3×C2×C20120S3xC2xC20240,166

Semidirect products G=N:Q with N=C5 and Q=S3×C2×C4
extensionφ:Q→Aut NdρLabelID
C5⋊(S3×C2×C4) = C2×S3×F5φ: S3×C2×C4/D6C4 ⊆ Aut C5308+C5:(S3xC2xC4)240,195
C52(S3×C2×C4) = C4×S3×D5φ: S3×C2×C4/C4×S3C2 ⊆ Aut C5604C5:2(S3xC2xC4)240,135
C53(S3×C2×C4) = C2×D30.C2φ: S3×C2×C4/C2×Dic3C2 ⊆ Aut C5120C5:3(S3xC2xC4)240,144
C54(S3×C2×C4) = C2×C4×D15φ: S3×C2×C4/C2×C12C2 ⊆ Aut C5120C5:4(S3xC2xC4)240,176
C55(S3×C2×C4) = C2×S3×Dic5φ: S3×C2×C4/C22×S3C2 ⊆ Aut C5120C5:5(S3xC2xC4)240,142


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