Extensions 1→N→G→Q→1 with N=C3 and Q=C9:C12

Direct product G=NxQ with N=C3 and Q=C9:C12
dρLabelID
C3xC9:C12366C3xC9:C12324,94

Semidirect products G=N:Q with N=C3 and Q=C9:C12
extensionφ:Q→Aut NdρLabelID
C3:(C9:C12) = C33.Dic3φ: C9:C12/C2x3- 1+2C2 ⊆ Aut C3108C3:(C9:C12)324,100

Non-split extensions G=N.Q with N=C3 and Q=C9:C12
extensionφ:Q→Aut NdρLabelID
C3.(C9:C12) = C32:Dic9φ: C9:C12/C2x3- 1+2C2 ⊆ Aut C3108C3.(C9:C12)324,8
C3.2(C9:C12) = C9:C36central extension (φ=1)366C3.2(C9:C12)324,9

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