Extensions 1→N→G→Q→1 with N=Q₈xC₁₉ and Q=C₂

Direct product G=NxQ with N=Q₈xC₁₉ and Q=C₂

		d	ρ	Label	ID
Q₈xC₃₈		304		Q8xC38	304,39

Semidirect products G=N:Q with N=Q₈xC₁₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₁₉):₁C₂ = Q₈:D₁₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₁₉	152	4+	(Q8xC19):1C2	304,16
(Q₈xC₁₉):₂C₂ = Q₈xD₁₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₁₉	152	4-	(Q8xC19):2C2	304,33
(Q₈xC₁₉):₃C₂ = D₇₆:C₂	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₁₉	152	4+	(Q8xC19):3C2	304,34
(Q₈xC₁₉):₄C₂ = SD₁₆xC₁₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₁₉	152	2	(Q8xC19):4C2	304,25
(Q₈xC₁₉):₅C₂ = C₄oD₄xC₁₉	φ: trivial image	152	2	(Q8xC19):5C2	304,40

Non-split extensions G=N.Q with N=Q₈xC₁₉ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xC₁₉).₁C₂ = C₁₉:Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₁₉	304	4-	(Q8xC19).1C2	304,17
(Q₈xC₁₉).₂C₂ = Q₁₆xC₁₉	φ: C₂/C₁ → C₂ ⊆ Out Q₈xC₁₉	304	2	(Q8xC19).2C2	304,26

׿

x

:

Z

F

o

wr

Q

<