Extensions 1→N→G→Q→1 with N=C66 and Q=C6

Direct product G=N×Q with N=C66 and Q=C6
dρLabelID
C6×C66396C6xC66396,30

Semidirect products G=N:Q with N=C66 and Q=C6
extensionφ:Q→Aut NdρLabelID
C661C6 = C6×D33φ: C6/C3C2 ⊆ Aut C661322C66:1C6396,27
C662C6 = C3×C6×D11φ: C6/C3C2 ⊆ Aut C66198C66:2C6396,25
C663C6 = S3×C66φ: C6/C3C2 ⊆ Aut C661322C66:3C6396,26

Non-split extensions G=N.Q with N=C66 and Q=C6
extensionφ:Q→Aut NdρLabelID
C66.1C6 = C3×Dic33φ: C6/C3C2 ⊆ Aut C661322C66.1C6396,13
C66.2C6 = C9×Dic11φ: C6/C3C2 ⊆ Aut C663962C66.2C6396,2
C66.3C6 = C18×D11φ: C6/C3C2 ⊆ Aut C661982C66.3C6396,7
C66.4C6 = C32×Dic11φ: C6/C3C2 ⊆ Aut C66396C66.4C6396,11
C66.5C6 = Dic3×C33φ: C6/C3C2 ⊆ Aut C661322C66.5C6396,12

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