Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C4×Dic5

Direct product G=N×Q with N=C3 and Q=C2×C4×Dic5
dρLabelID
Dic5×C2×C12480Dic5xC2xC12480,715

Semidirect products G=N:Q with N=C3 and Q=C2×C4×Dic5
extensionφ:Q→Aut NdρLabelID
C31(C2×C4×Dic5) = C4×S3×Dic5φ: C2×C4×Dic5/C4×Dic5C2 ⊆ Aut C3240C3:1(C2xC4xDic5)480,473
C32(C2×C4×Dic5) = C2×Dic3×Dic5φ: C2×C4×Dic5/C22×Dic5C2 ⊆ Aut C3480C3:2(C2xC4xDic5)480,603
C33(C2×C4×Dic5) = C2×C4×Dic15φ: C2×C4×Dic5/C22×C20C2 ⊆ Aut C3480C3:3(C2xC4xDic5)480,887


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