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

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

		d	ρ	Label	ID
C₂²×C₆₆		264		C2^2xC66	264,39

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆₆)⋊₁C₂ = D₄×C₃₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆₆	132	2	(C2xC66):1C2	264,29
(C₂×C₆₆)⋊₂C₂ = C₃₃⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆₆	132	2	(C2xC66):2C2	264,27
(C₂×C₆₆)⋊₃C₂ = C₂²×D₃₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆₆	132		(C2xC66):3C2	264,38
(C₂×C₆₆)⋊₄C₂ = C₃×C₁₁⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆₆	132	2	(C2xC66):4C2	264,17
(C₂×C₆₆)⋊₅C₂ = C₂×C₆×D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆₆	132		(C2xC66):5C2	264,36
(C₂×C₆₆)⋊₆C₂ = C₁₁×C₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆₆	132	2	(C2xC66):6C2	264,22
(C₂×C₆₆)⋊₇C₂ = S₃×C₂×C₂₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆₆	132		(C2xC66):7C2	264,37

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₆₆).₁C₂ = C₂×Dic₃₃	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆₆	264		(C2xC66).1C2	264,26
(C₂×C₆₆).₂C₂ = C₆×Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆₆	264		(C2xC66).2C2	264,16
(C₂×C₆₆).₃C₂ = Dic₃×C₂₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₆₆	264		(C2xC66).3C2	264,21

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