Extensions 1→N→G→Q→1 with N=C₈:C₄ and Q=S₃

Direct product G=NxQ with N=C₈:C₄ and Q=S₃

		d	ρ	Label	ID
S₃xC₈:C₄		96		S3xC8:C4	192,263

Semidirect products G=N:Q with N=C₈:C₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₈:C₄:₁S₃ = C₄².₁₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	96		C8:C4:1S3	192,269
C₈:C₄:₂S₃ = D₂₄:C₄	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	96		C8:C4:2S3	192,270
C₈:C₄:₃S₃ = C₈:D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	96		C8:C4:3S3	192,271
C₈:C₄:₄S₃ = C₈.D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	96		C8:C4:4S3	192,274
C₈:C₄:₅S₃ = D₂₄:₄C₄	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	48	4	C8:C4:5S3	192,276
C₈:C₄:₆S₃ = C₄².D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	96		C8:C4:6S3	192,23
C₈:C₄:₇S₃ = C₄².₁₈₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	96		C8:C4:7S3	192,264
C₈:C₄:₈S₃ = C₈:₉D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	96		C8:C4:8S3	192,265
C₈:C₄:₉S₃ = C₄².₁₈₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	96		C8:C4:9S3	192,268
C₈:C₄:₁₀S₃ = C₄².₁₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	96		C8:C4:10S3	192,272
C₈:C₄:₁₁S₃ = C₄².₂₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	96		C8:C4:11S3	192,273
C₈:C₄:₁₂S₃ = Dic₃:₅M₄(2)	φ: trivial image	96		C8:C4:12S3	192,266
C₈:C₄:₁₃S₃ = D₆.₄C₄²	φ: trivial image	96		C8:C4:13S3	192,267

Non-split extensions G=N.Q with N=C₈:C₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₈:C₄.₁S₃ = C₈:Dic₆	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	192		C8:C4.1S3	192,261
C₈:C₄.₂S₃ = Dic₁₂:C₄	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	192		C8:C4.2S3	192,275
C₈:C₄.₃S₃ = C₄².₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	192		C8:C4.3S3	192,24
C₈:C₄.₄S₃ = C₁₂.₁₅C₄²	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	48	4	C8:C4.4S3	192,25
C₈:C₄.₅S₃ = C₂₄:Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	192		C8:C4.5S3	192,260
C₈:C₄.₆S₃ = C₄².₁₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₈:C₄	192		C8:C4.6S3	192,262

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