Extensions 1→N→G→Q→1 with N=D₄×C₁₁ and Q=C₄

Direct product G=N×Q with N=D₄×C₁₁ and Q=C₄

		d	ρ	Label	ID
D₄×C₄₄		176		D4xC44	352,153

Semidirect products G=N:Q with N=D₄×C₁₁ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₁)⋊₁C₄ = D₄⋊Dic₁₁	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₁	176		(D4xC11):1C4	352,38
(D₄×C₁₁)⋊₂C₄ = C₄₄.₅₆D₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₁	88	4	(D4xC11):2C4	352,43
(D₄×C₁₁)⋊₃C₄ = D₄×Dic₁₁	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₁	176		(D4xC11):3C4	352,129
(D₄×C₁₁)⋊₄C₄ = C₁₁×D₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₁	176		(D4xC11):4C4	352,51
(D₄×C₁₁)⋊₅C₄ = C₁₁×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₁	88	2	(D4xC11):5C4	352,53

Non-split extensions G=N.Q with N=D₄×C₁₁ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×C₁₁).C₄ = Q₈.Dic₁₁	φ: C₄/C₂ → C₂ ⊆ Out D₄×C₁₁	176	4	(D4xC11).C4	352,143
(D₄×C₁₁).₂C₄ = C₁₁×C₈○D₄	φ: trivial image	176	2	(D4xC11).2C4	352,166

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁