Extensions 1→N→G→Q→1 with N=C3 and Q=C7:C18

Direct product G=NxQ with N=C3 and Q=C7:C18
dρLabelID
C3xC7:C18189C3xC7:C18378,10

Semidirect products G=N:Q with N=C3 and Q=C7:C18
extensionφ:Q→Aut NdρLabelID
C3:(C7:C18) = D21:C9φ: C7:C18/C7:C9C2 ⊆ Aut C31266C3:(C7:C18)378,21

Non-split extensions G=N.Q with N=C3 and Q=C7:C18
extensionφ:Q→Aut NdρLabelID
C3.(C7:C18) = C7:C54central extension (φ=1)1896C3.(C7:C18)378,1

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