Extensions 1→N→G→Q→1 with N=C66 and Q=C2

Direct product G=N×Q with N=C66 and Q=C2
dρLabelID
C2×C66132C2xC66132,10

Semidirect products G=N:Q with N=C66 and Q=C2
extensionφ:Q→Aut NdρLabelID
C661C2 = D66φ: C2/C1C2 ⊆ Aut C66662+C66:1C2132,9
C662C2 = C6×D11φ: C2/C1C2 ⊆ Aut C66662C66:2C2132,7
C663C2 = S3×C22φ: C2/C1C2 ⊆ Aut C66662C66:3C2132,8

Non-split extensions G=N.Q with N=C66 and Q=C2
extensionφ:Q→Aut NdρLabelID
C66.1C2 = Dic33φ: C2/C1C2 ⊆ Aut C661322-C66.1C2132,3
C66.2C2 = C3×Dic11φ: C2/C1C2 ⊆ Aut C661322C66.2C2132,2
C66.3C2 = C11×Dic3φ: C2/C1C2 ⊆ Aut C661322C66.3C2132,1

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