Extensions 1→N→G→Q→1 with N=C3×C51 and Q=C2

Direct product G=N×Q with N=C3×C51 and Q=C2
dρLabelID
C3×C102306C3xC102306,10

Semidirect products G=N:Q with N=C3×C51 and Q=C2
extensionφ:Q→Aut NdρLabelID
(C3×C51)⋊1C2 = C3⋊D51φ: C2/C1C2 ⊆ Aut C3×C51153(C3xC51):1C2306,9
(C3×C51)⋊2C2 = C3×D51φ: C2/C1C2 ⊆ Aut C3×C511022(C3xC51):2C2306,7
(C3×C51)⋊3C2 = C32×D17φ: C2/C1C2 ⊆ Aut C3×C51153(C3xC51):3C2306,5
(C3×C51)⋊4C2 = S3×C51φ: C2/C1C2 ⊆ Aut C3×C511022(C3xC51):4C2306,6
(C3×C51)⋊5C2 = C17×C3⋊S3φ: C2/C1C2 ⊆ Aut C3×C51153(C3xC51):5C2306,8


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