Extensions 1→N→G→Q→1 with N=Q₈xD₅ and Q=S₃

Direct product G=NxQ with N=Q₈xD₅ and Q=S₃

		d	ρ	Label	ID
S₃xQ₈xD₅		120	8-	S3xQ8xD5	480,1107

Semidirect products G=N:Q with N=Q₈xD₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xD₅):₁S₃ = D₁₀.₁S₄	φ: S₃/C₁ → S₃ ⊆ Out Q₈xD₅	80	4-	(Q8xD5):1S3	480,972
(Q₈xD₅):₂S₃ = D₁₀.₂S₄	φ: S₃/C₁ → S₃ ⊆ Out Q₈xD₅	80	4	(Q8xD5):2S3	480,973
(Q₈xD₅):₃S₃ = D₅xGL₂(F₃)	φ: S₃/C₁ → S₃ ⊆ Out Q₈xD₅	40	4	(Q8xD5):3S3	480,974
(Q₈xD₅):₄S₃ = D₅xQ₈:₂S₃	φ: S₃/C₃ → C₂ ⊆ Out Q₈xD₅	120	8+	(Q8xD5):4S3	480,577
(Q₈xD₅):₅S₃ = D₁₂.₂₇D₁₀	φ: S₃/C₃ → C₂ ⊆ Out Q₈xD₅	240	8-	(Q8xD5):5S3	480,589
(Q₈xD₅):₆S₃ = C₆₀.₃₉C₂³	φ: S₃/C₃ → C₂ ⊆ Out Q₈xD₅	240	8+	(Q8xD5):6S3	480,591
(Q₈xD₅):₇S₃ = C₃₀.₃₃C₂⁴	φ: S₃/C₃ → C₂ ⊆ Out Q₈xD₅	240	8+	(Q8xD5):7S3	480,1105
(Q₈xD₅):₈S₃ = D₁₂.₂₉D₁₀	φ: S₃/C₃ → C₂ ⊆ Out Q₈xD₅	240	8-	(Q8xD5):8S3	480,1106
(Q₈xD₅):₉S₃ = D₅xQ₈:₃S₃	φ: trivial image	120	8+	(Q8xD5):9S3	480,1108

Non-split extensions G=N.Q with N=Q₈xD₅ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(Q₈xD₅).₁S₃ = D₅xCSU₂(F₃)	φ: S₃/C₁ → S₃ ⊆ Out Q₈xD₅	80	4-	(Q8xD5).1S3	480,971
(Q₈xD₅).₂S₃ = D₁₀.S₄	φ: S₃/C₁ → S₃ ⊆ Out Q₈xD₅	40	8-	(Q8xD5).2S3	480,962
(Q₈xD₅).₃S₃ = D₅xC₃:Q₁₆	φ: S₃/C₃ → C₂ ⊆ Out Q₈xD₅	240	8-	(Q8xD5).3S3	480,583
(Q₈xD₅).₄S₃ = Dic₁₀:₂Dic₃	φ: S₃/C₃ → C₂ ⊆ Out Q₈xD₅	120	8	(Q8xD5).4S3	480,314
(Q₈xD₅).₅S₃ = Q₈xC₃:F₅	φ: S₃/C₃ → C₂ ⊆ Out Q₈xD₅	120	8	(Q8xD5).5S3	480,1069

׿

x

:

Z

F

o

wr

Q

<