Extensions 1→N→G→Q→1 with N=C₂xDic₂₉ and Q=C₂

Direct product G=NxQ with N=C₂xDic₂₉ and Q=C₂

		d	ρ	Label	ID
C₂²xDic₂₉		464		C2^2xDic29	464,43

Semidirect products G=N:Q with N=C₂xDic₂₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₂₉):₁C₂ = D₅₈:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₉	232		(C2xDic29):1C2	464,14
(C₂xDic₂₉):₂C₂ = C₂³.D₂₉	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₉	232		(C2xDic29):2C2	464,19
(C₂xDic₂₉):₃C₂ = D₄:₂D₂₉	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₉	232	4-	(C2xDic29):3C2	464,40
(C₂xDic₂₉):₄C₂ = C₂xC₂₉:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₉	232		(C2xDic29):4C2	464,44
(C₂xDic₂₉):₅C₂ = C₂xC₄xD₂₉	φ: trivial image	232		(C2xDic29):5C2	464,36

Non-split extensions G=N.Q with N=C₂xDic₂₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₂₉).₁C₂ = C₅₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₉	464		(C2xDic29).1C2	464,12
(C₂xDic₂₉).₂C₂ = C₄:Dic₂₉	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₉	464		(C2xDic29).2C2	464,13
(C₂xDic₂₉).₃C₂ = C₂xDic₅₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₉	464		(C2xDic29).3C2	464,35
(C₂xDic₂₉).₄C₂ = C₂xC₂₉:C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₉	464		(C2xDic29).4C2	464,32
(C₂xDic₂₉).₅C₂ = C₂₉:M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₂₉	232	4-	(C2xDic29).5C2	464,33
(C₂xDic₂₉).₆C₂ = C₄xDic₂₉	φ: trivial image	464		(C2xDic29).6C2	464,11

׿

x

:

Z

F

o

wr

Q

<