Extensions 1→N→G→Q→1 with N=C₃×C₆₆ and Q=C₂

Direct product G=N×Q with N=C₃×C₆₆ and Q=C₂

		d	ρ	Label	ID
C₆×C₆₆		396		C6xC66	396,30

Semidirect products G=N:Q with N=C₃×C₆₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆₆)⋊₁C₂ = C₂×C₃⋊D₃₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₆	198		(C3xC66):1C2	396,29
(C₃×C₆₆)⋊₂C₂ = C₆×D₃₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₆	132	2	(C3xC66):2C2	396,27
(C₃×C₆₆)⋊₃C₂ = C₃×C₆×D₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₆	198		(C3xC66):3C2	396,25
(C₃×C₆₆)⋊₄C₂ = S₃×C₆₆	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₆	132	2	(C3xC66):4C2	396,26
(C₃×C₆₆)⋊₅C₂ = C₃⋊S₃×C₂₂	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₆	198		(C3xC66):5C2	396,28

Non-split extensions G=N.Q with N=C₃×C₆₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆₆).₁C₂ = C₃⋊Dic₃₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₆	396		(C3xC66).1C2	396,15
(C₃×C₆₆).₂C₂ = C₃×Dic₃₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₆	132	2	(C3xC66).2C2	396,13
(C₃×C₆₆).₃C₂ = C₃²×Dic₁₁	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₆	396		(C3xC66).3C2	396,11
(C₃×C₆₆).₄C₂ = Dic₃×C₃₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₆	132	2	(C3xC66).4C2	396,12
(C₃×C₆₆).₅C₂ = C₁₁×C₃⋊Dic₃	φ: C₂/C₁ → C₂ ⊆ Aut C₃×C₆₆	396		(C3xC66).5C2	396,14

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