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

Direct product G=NxQ with N=C18 and Q=C7:C3
dρLabelID
C18xC7:C31263C18xC7:C3378,23

Semidirect products G=N:Q with N=C18 and Q=C7:C3
extensionφ:Q→Aut NdρLabelID
C18:1(C7:C3) = C2xC63:C3φ: C7:C3/C7C3 ⊆ Aut C181263C18:1(C7:C3)378,24
C18:2(C7:C3) = C2xC63:3C3φ: C7:C3/C7C3 ⊆ Aut C181263C18:2(C7:C3)378,25

Non-split extensions G=N.Q with N=C18 and Q=C7:C3
extensionφ:Q→Aut NdρLabelID
C18.(C7:C3) = C2xC7:C27central extension (φ=1)3783C18.(C7:C3)378,2

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