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

Direct product G=NxQ with N=C3 and Q=C3:Dic3
dρLabelID
C3xC3:Dic336C3xC3:Dic3108,33

Semidirect products G=N:Q with N=C3 and Q=C3:Dic3
extensionφ:Q→Aut NdρLabelID
C3:(C3:Dic3) = C33:5C4φ: C3:Dic3/C3xC6C2 ⊆ Aut C3108C3:(C3:Dic3)108,34

Non-split extensions G=N.Q with N=C3 and Q=C3:Dic3
extensionφ:Q→Aut NdρLabelID
C3.(C3:Dic3) = C9:Dic3φ: C3:Dic3/C3xC6C2 ⊆ Aut C3108C3.(C3:Dic3)108,10
C3.2(C3:Dic3) = He3:3C4central stem extension (φ=1)363C3.2(C3:Dic3)108,11

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