Extensions 1→N→G→Q→1 with N=C₃ and Q=D₆₆

Direct product G=N×Q with N=C₃ and Q=D₆₆

		d	ρ	Label	ID
C₆×D₃₃		132	2	C6xD33	396,27

Semidirect products G=N:Q with N=C₃ and Q=D₆₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁D₆₆ = S₃×D₃₃	φ: D₆₆/D₃₃ → C₂ ⊆ Aut C₃	66	4+	C3:1D66	396,22
C₃⋊₂D₆₆ = C₂×C₃⋊D₃₃	φ: D₆₆/C₆₆ → C₂ ⊆ Aut C₃	198		C3:2D66	396,29

Non-split extensions G=N.Q with N=C₃ and Q=D₆₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.D₆₆ = D₁₉₈	φ: D₆₆/C₆₆ → C₂ ⊆ Aut C₃	198	2+	C3.D66	396,9

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Extensions 1→N→G→Q→1 with N=C3 and Q=D66