Extensions 1→N→G→Q→1 with N=C₃₃ and Q=C₆

Direct product G=N×Q with N=C₃₃ and Q=C₆

		d	ρ	Label	ID
C₃×C₆₆		198		C3xC66	198,10

Semidirect products G=N:Q with N=C₃₃ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₃⋊₁C₆ = C₃×D₃₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃₃	66	2	C33:1C6	198,7
C₃₃⋊₂C₆ = C₃²×D₁₁	φ: C₆/C₃ → C₂ ⊆ Aut C₃₃	99		C33:2C6	198,5
C₃₃⋊₃C₆ = S₃×C₃₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃₃	66	2	C33:3C6	198,6

Non-split extensions G=N.Q with N=C₃₃ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₃.C₆ = C₉×D₁₁	φ: C₆/C₃ → C₂ ⊆ Aut C₃₃	99	2	C33.C6	198,2

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C33 and Q=C6