Extensions 1→N→G→Q→1 with N=C₃₃ and Q=D₆

Direct product G=N×Q with N=C₃₃ and Q=D₆

		d	ρ	Label	ID
S₃×C₆₆		132	2	S3xC66	396,26

Semidirect products G=N:Q with N=C₃₃ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₃⋊₁D₆ = C₃⋊S₃×D₁₁	φ: D₆/C₃ → C₂² ⊆ Aut C₃₃	99		C33:1D6	396,20
C₃₃⋊₂D₆ = S₃×D₃₃	φ: D₆/C₃ → C₂² ⊆ Aut C₃₃	66	4+	C33:2D6	396,22
C₃₃⋊₃D₆ = D₃₃⋊S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₃₃	66	4	C33:3D6	396,23
C₃₃⋊₄D₆ = C₃×S₃×D₁₁	φ: D₆/S₃ → C₂ ⊆ Aut C₃₃	66	4	C33:4D6	396,19
C₃₃⋊₅D₆ = S₃²×C₁₁	φ: D₆/S₃ → C₂ ⊆ Aut C₃₃	66	4	C33:5D6	396,21
C₃₃⋊₆D₆ = C₂×C₃⋊D₃₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃₃	198		C33:6D6	396,29
C₃₃⋊₇D₆ = C₆×D₃₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃₃	132	2	C33:7D6	396,27
C₃₃⋊₈D₆ = C₃⋊S₃×C₂₂	φ: D₆/C₆ → C₂ ⊆ Aut C₃₃	198		C33:8D6	396,28

Non-split extensions G=N.Q with N=C₃₃ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₃.D₆ = D₉×D₁₁	φ: D₆/C₃ → C₂² ⊆ Aut C₃₃	99	4+	C33.D6	396,5
C₃₃.₂D₆ = D₁₉₈	φ: D₆/C₆ → C₂ ⊆ Aut C₃₃	198	2+	C33.2D6	396,9
C₃₃.₃D₆ = D₉×C₂₂	φ: D₆/C₆ → C₂ ⊆ Aut C₃₃	198	2	C33.3D6	396,8

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