Extensions 1→N→G→Q→1 with N=D₆₆ and Q=C₂

Direct product G=N×Q with N=D₆₆ and Q=C₂

		d	ρ	Label	ID
C₂²×D₃₃		132		C2^2xD33	264,38

Semidirect products G=N:Q with N=D₆₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆₆⋊₁C₂ = D₁₃₂	φ: C₂/C₁ → C₂ ⊆ Out D₆₆	132	2+	D66:1C2	264,25
D₆₆⋊₂C₂ = C₃₃⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out D₆₆	132	2	D66:2C2	264,27
D₆₆⋊₃C₂ = C₃⋊D₄₄	φ: C₂/C₁ → C₂ ⊆ Out D₆₆	132	4+	D66:3C2	264,9
D₆₆⋊₄C₂ = C₁₁⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out D₆₆	132	4+	D66:4C2	264,10
D₆₆⋊₅C₂ = C₂×S₃×D₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₆₆	66	4+	D66:5C2	264,34

Non-split extensions G=N.Q with N=D₆₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆₆.C₂ = D₃₃⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₆₆	132	4+	D66.C2	264,7
D₆₆.₂C₂ = C₄×D₃₃	φ: trivial image	132	2	D66.2C2	264,24

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