Extensions 1→N→G→Q→1 with N=D₆ and Q=C₂₂

Direct product G=N×Q with N=D₆ and Q=C₂₂

		d	ρ	Label	ID
S₃×C₂×C₂₂		132		S3xC2xC22	264,37

Semidirect products G=N:Q with N=D₆ and Q=C₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁C₂₂ = C₁₁×D₁₂	φ: C₂₂/C₁₁ → C₂ ⊆ Out D₆	132	2	D6:1C22	264,20
D₆⋊₂C₂₂ = C₁₁×C₃⋊D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out D₆	132	2	D6:2C22	264,22

Non-split extensions G=N.Q with N=D₆ and Q=C₂₂

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.C₂₂ = S₃×C₄₄	φ: trivial image	132	2	D6.C22	264,19

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D6 and Q=C22