Extensions 1→N→G→Q→1 with N=C₄xC₁₁:C₅ and Q=C₂

Direct product G=NxQ with N=C₄xC₁₁:C₅ and Q=C₂

		d	ρ	Label	ID
C₂xC₄xC₁₁:C₅		88		C2xC4xC11:C5	440,12

Semidirect products G=N:Q with N=C₄xC₁₁:C₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xC₁₁:C₅):₁C₂ = D₄₄:C₅	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₁₁:C₅	44	10+	(C4xC11:C5):1C2	440,9
(C₄xC₁₁:C₅):₂C₂ = C₄xF₁₁	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₁₁:C₅	44	10	(C4xC11:C5):2C2	440,8
(C₄xC₁₁:C₅):₃C₂ = D₄xC₁₁:C₅	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₁₁:C₅	44	10	(C4xC11:C5):3C2	440,13

Non-split extensions G=N.Q with N=C₄xC₁₁:C₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄xC₁₁:C₅).₁C₂ = C₄.F₁₁	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₁₁:C₅	88	10-	(C4xC11:C5).1C2	440,7
(C₄xC₁₁:C₅).₂C₂ = C₁₁:C₄₀	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₁₁:C₅	88	10	(C4xC11:C5).2C2	440,1
(C₄xC₁₁:C₅).₃C₂ = Q₈xC₁₁:C₅	φ: C₂/C₁ → C₂ ⊆ Out C₄xC₁₁:C₅	88	10	(C4xC11:C5).3C2	440,14
(C₄xC₁₁:C₅).₄C₂ = C₈xC₁₁:C₅	φ: trivial image	88	5	(C4xC11:C5).4C2	440,2

׿

x

:

Z

F

o

wr

Q

<