Extensions 1→N→G→Q→1 with N=C5 and Q=C2×D12

Direct product G=N×Q with N=C5 and Q=C2×D12
dρLabelID
C10×D12120C10xD12240,167

Semidirect products G=N:Q with N=C5 and Q=C2×D12
extensionφ:Q→Aut NdρLabelID
C51(C2×D12) = D5×D12φ: C2×D12/D12C2 ⊆ Aut C5604+C5:1(C2xD12)240,136
C52(C2×D12) = C2×D60φ: C2×D12/C2×C12C2 ⊆ Aut C5120C5:2(C2xD12)240,177
C53(C2×D12) = C2×C5⋊D12φ: C2×D12/C22×S3C2 ⊆ Aut C5120C5:3(C2xD12)240,147


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