Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C4×D5

Direct product G=N×Q with N=C3 and Q=C2×C4×D5
dρLabelID
D5×C2×C12120D5xC2xC12240,156

Semidirect products G=N:Q with N=C3 and Q=C2×C4×D5
extensionφ:Q→Aut NdρLabelID
C3⋊1(C2×C4×D5) = C4×S3×D5φ: C2×C4×D5/C4×D5 → C2 ⊆ Aut C3604C3:1(C2xC4xD5)240,135
C3⋊2(C2×C4×D5) = C2×D30.C2φ: C2×C4×D5/C2×Dic5 → C2 ⊆ Aut C3120C3:2(C2xC4xD5)240,144
C3⋊3(C2×C4×D5) = C2×C4×D15φ: C2×C4×D5/C2×C20 → C2 ⊆ Aut C3120C3:3(C2xC4xD5)240,176
C3⋊4(C2×C4×D5) = C2×D5×Dic3φ: C2×C4×D5/C22×D5 → C2 ⊆ Aut C3120C3:4(C2xC4xD5)240,139


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