Extensions 1→N→G→Q→1 with N=C9 and Q=C3:Dic3

Direct product G=NxQ with N=C9 and Q=C3:Dic3
dρLabelID
C9xC3:Dic3108C9xC3:Dic3324,97

Semidirect products G=N:Q with N=C9 and Q=C3:Dic3
extensionφ:Q→Aut NdρLabelID
C9:(C3:Dic3) = C32:5Dic9φ: C3:Dic3/C3xC6C2 ⊆ Aut C9324C9:(C3:Dic3)324,103

Non-split extensions G=N.Q with N=C9 and Q=C3:Dic3
extensionφ:Q→Aut NdρLabelID
C9.(C3:Dic3) = C27:Dic3φ: C3:Dic3/C3xC6C2 ⊆ Aut C9324C9.(C3:Dic3)324,21
C9.2(C3:Dic3) = He3.5C12central extension (φ=1)1083C9.2(C3:Dic3)324,102

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