Extensions 1→N→G→Q→1 with N=C52 and Q=C3×C6

Direct product G=N×Q with N=C52 and Q=C3×C6
dρLabelID
C15×C30450C15xC30450,34

Semidirect products G=N:Q with N=C52 and Q=C3×C6
extensionφ:Q→Aut NdρLabelID
C52⋊(C3×C6) = C3×C52⋊C6φ: C3×C6/C3C6 ⊆ Aut C52456C5^2:(C3xC6)450,22
C522(C3×C6) = C6×C52⋊C3φ: C3×C6/C6C3 ⊆ Aut C52903C5^2:2(C3xC6)450,25
C523(C3×C6) = D5×C3×C15φ: C3×C6/C32C2 ⊆ Aut C5290C5^2:3(C3xC6)450,26
C524(C3×C6) = C32×C5⋊D5φ: C3×C6/C32C2 ⊆ Aut C52225C5^2:4(C3xC6)450,27


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