Extensions 1→N→G→Q→1 with N=C5 and Q=C3⋊D12

Direct product G=N×Q with N=C5 and Q=C3⋊D12
dρLabelID
C5×C3⋊D12604C5xC3:D12360,75

Semidirect products G=N:Q with N=C5 and Q=C3⋊D12
extensionφ:Q→Aut NdρLabelID
C5⋊1(C3⋊D12) = C3⋊D60φ: C3⋊D12/C3×Dic3 → C2 ⊆ Aut C5604+C5:1(C3:D12)360,81
C5⋊2(C3⋊D12) = D6⋊2D15φ: C3⋊D12/S3×C6 → C2 ⊆ Aut C5604+C5:2(C3:D12)360,82
C5⋊3(C3⋊D12) = D30⋊S3φ: C3⋊D12/C2×C3⋊S3 → C2 ⊆ Aut C5604C5:3(C3:D12)360,86


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