Extensions 1→N→G→Q→1 with N=D₄×D₁₁ and Q=C₂

Direct product G=N×Q with N=D₄×D₁₁ and Q=C₂

		d	ρ	Label	ID
C₂×D₄×D₁₁		88		C2xD4xD11	352,177

Semidirect products G=N:Q with N=D₄×D₁₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₁₁)⋊₁C₂ = D₈×D₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₁	88	4+	(D4xD11):1C2	352,105
(D₄×D₁₁)⋊₂C₂ = D₄⋊D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₁	88	4	(D4xD11):2C2	352,106
(D₄×D₁₁)⋊₃C₂ = D₈₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₁	88	4+	(D4xD11):3C2	352,109
(D₄×D₁₁)⋊₄C₂ = D₄⋊₆D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₁	88	4	(D4xD11):4C2	352,179
(D₄×D₁₁)⋊₅C₂ = D₄⋊₈D₂₂	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₁	88	4+	(D4xD11):5C2	352,184
(D₄×D₁₁)⋊₆C₂ = C₄○D₄×D₁₁	φ: trivial image	88	4	(D4xD11):6C2	352,183

Non-split extensions G=N.Q with N=D₄×D₁₁ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(D₄×D₁₁).C₂ = SD₁₆×D₁₁	φ: C₂/C₁ → C₂ ⊆ Out D₄×D₁₁	88	4	(D4xD11).C2	352,108

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁