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

Direct product G=N×Q with N=C₆₆ and Q=C₂

		d	ρ	Label	ID
C₂×C₆₆		132		C2xC66	132,10

Semidirect products G=N:Q with N=C₆₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₆⋊₁C₂ = D₆₆	φ: C₂/C₁ → C₂ ⊆ Aut C₆₆	66	2+	C66:1C2	132,9
C₆₆⋊₂C₂ = C₆×D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₆₆	66	2	C66:2C2	132,7
C₆₆⋊₃C₂ = S₃×C₂₂	φ: C₂/C₁ → C₂ ⊆ Aut C₆₆	66	2	C66:3C2	132,8

Non-split extensions G=N.Q with N=C₆₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₆.₁C₂ = Dic₃₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆₆	132	2-	C66.1C2	132,3
C₆₆.₂C₂ = C₃×Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₆₆	132	2	C66.2C2	132,2
C₆₆.₃C₂ = C₁₁×Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₆₆	132	2	C66.3C2	132,1

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