Extensions 1→N→G→Q→1 with N=C69 and Q=C6

Direct product G=N×Q with N=C69 and Q=C6
dρLabelID
C3×C138414C3xC138414,10

Semidirect products G=N:Q with N=C69 and Q=C6
extensionφ:Q→Aut NdρLabelID
C691C6 = C3×D69φ: C6/C3C2 ⊆ Aut C691382C69:1C6414,7
C692C6 = C32×D23φ: C6/C3C2 ⊆ Aut C69207C69:2C6414,5
C693C6 = S3×C69φ: C6/C3C2 ⊆ Aut C691382C69:3C6414,6

Non-split extensions G=N.Q with N=C69 and Q=C6
extensionφ:Q→Aut NdρLabelID
C69.C6 = C9×D23φ: C6/C3C2 ⊆ Aut C692072C69.C6414,2

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