Extensions 1→N→G→Q→1 with N=C₂xDic₁₇ and Q=C₂

Direct product G=NxQ with N=C₂xDic₁₇ and Q=C₂

		d	ρ	Label	ID
C₂²xDic₁₇		272		C2^2xDic17	272,44

Semidirect products G=N:Q with N=C₂xDic₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₁₇):₁C₂ = D₃₄:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₁₇	136		(C2xDic17):1C2	272,14
(C₂xDic₁₇):₂C₂ = C₂³.D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₁₇	136		(C2xDic17):2C2	272,19
(C₂xDic₁₇):₃C₂ = D₄:₂D₁₇	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₁₇	136	4-	(C2xDic17):3C2	272,41
(C₂xDic₁₇):₄C₂ = C₂xC₁₇:D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₁₇	136		(C2xDic17):4C2	272,45
(C₂xDic₁₇):₅C₂ = C₂xC₄xD₁₇	φ: trivial image	136		(C2xDic17):5C2	272,37

Non-split extensions G=N.Q with N=C₂xDic₁₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xDic₁₇).₁C₂ = C₃₄.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₁₇	272		(C2xDic17).1C2	272,12
(C₂xDic₁₇).₂C₂ = C₆₈:₃C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₁₇	272		(C2xDic17).2C2	272,13
(C₂xDic₁₇).₃C₂ = C₂xDic₃₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₁₇	272		(C2xDic17).3C2	272,36
(C₂xDic₁₇).₄C₂ = C₂xC₁₇:₂C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₁₇	272		(C2xDic17).4C2	272,33
(C₂xDic₁₇).₅C₂ = C₁₇:M₄(2)	φ: C₂/C₁ → C₂ ⊆ Out C₂xDic₁₇	136	4-	(C2xDic17).5C2	272,34
(C₂xDic₁₇).₆C₂ = C₄xDic₁₇	φ: trivial image	272		(C2xDic17).6C2	272,11

׿

x

:

Z

F

o

wr

Q

<