Extensions 1→N→G→Q→1 with N=C₈oD₄ and Q=S₃

Direct product G=NxQ with N=C₈oD₄ and Q=S₃

		d	ρ	Label	ID
S₃xC₈oD₄		48	4	S3xC8oD4	192,1308

Semidirect products G=N:Q with N=C₈oD₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₈oD₄:₁S₃ = C₈.₄S₄	φ: S₃/C₁ → S₃ ⊆ Out C₈oD₄	32	4	C8oD4:1S3	192,965
C₈oD₄:₂S₃ = C₈.₃S₄	φ: S₃/C₁ → S₃ ⊆ Out C₈oD₄	32	4+	C8oD4:2S3	192,966
C₈oD₄:₃S₃ = CU₂(F₃)	φ: S₃/C₁ → S₃ ⊆ Out C₈oD₄	32	2	C8oD4:3S3	192,963
C₈oD₄:₄S₃ = C₈.₅S₄	φ: S₃/C₁ → S₃ ⊆ Out C₈oD₄	32	4	C8oD4:4S3	192,964
C₈oD₄:₅S₃ = Q₈.₈D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₈oD₄	48	4	C8oD4:5S3	192,700
C₈oD₄:₆S₃ = Q₈.₉D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₈oD₄	48	4+	C8oD4:6S3	192,701
C₈oD₄:₇S₃ = D₄.₁₁D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₈oD₄	48	4	C8oD4:7S3	192,1310
C₈oD₄:₈S₃ = D₄.₁₂D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₈oD₄	48	4+	C8oD4:8S3	192,1311
C₈oD₄:₉S₃ = D₄.₁₃D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₈oD₄	96	4-	C8oD4:9S3	192,1312
C₈oD₄:₁₀S₃ = C₂₄.₁₀₀D₄	φ: S₃/C₃ → C₂ ⊆ Out C₈oD₄	48	4	C8oD4:10S3	192,703
C₈oD₄:₁₁S₃ = C₂₄.₅₄D₄	φ: S₃/C₃ → C₂ ⊆ Out C₈oD₄	48	4	C8oD4:11S3	192,704
C₈oD₄:₁₂S₃ = M₄(2):₂₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈oD₄	48	4	C8oD4:12S3	192,1309

Non-split extensions G=N.Q with N=C₈oD₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₈oD₄.₁S₃ = C₈.S₄	φ: S₃/C₁ → S₃ ⊆ Out C₈oD₄	64	4-	C8oD4.1S3	192,962
C₈oD₄.₂S₃ = C₈.₇S₄	φ: S₃/C₁ → S₃ ⊆ Out C₈oD₄	64	2	C8oD4.2S3	192,187
C₈oD₄.₃S₃ = Q₈.₁₀D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₈oD₄	96	4-	C8oD4.3S3	192,702
C₈oD₄.₄S₃ = C₂₄.₉₉D₄	φ: S₃/C₃ → C₂ ⊆ Out C₈oD₄	96	4	C8oD4.4S3	192,120
C₈oD₄.₅S₃ = C₂₄.₇₈C₂³	φ: trivial image	96	4	C8oD4.5S3	192,699

׿

x

:

Z

F

o

wr

Q

<