Extensions 1→N→G→Q→1 with N=C₂²⋊C₈ and Q=S₃

Direct product G=N×Q with N=C₂²⋊C₈ and Q=S₃

		d	ρ	Label	ID
S₃×C₂²⋊C₈		48		S3xC2^2:C8	192,283

Semidirect products G=N:Q with N=C₂²⋊C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₈⋊₁S₃ = (C₂²×S₃)⋊C₈	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	48		C2^2:C8:1S3	192,27
C₂²⋊C₈⋊₂S₃ = C₂².₂D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	48		C2^2:C8:2S3	192,29
C₂²⋊C₈⋊₃S₃ = D₁₂⋊₁₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	48		C2^2:C8:3S3	192,291
C₂²⋊C₈⋊₄S₃ = C₂².D₂₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8:4S3	192,295
C₂²⋊C₈⋊₅S₃ = D₁₂.₃₂D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8:5S3	192,292
C₂²⋊C₈⋊₆S₃ = D₁₂⋊₁₄D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8:6S3	192,293
C₂²⋊C₈⋊₇S₃ = C₂³.₁₈D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8:7S3	192,296
C₂²⋊C₈⋊₈S₃ = D₁₂.₃₁D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	48		C2^2:C8:8S3	192,290
C₂²⋊C₈⋊₉S₃ = C₂³.₄₃D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8:9S3	192,294
C₂²⋊C₈⋊₁₀S₃ = Dic₆⋊₁₄D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8:10S3	192,297
C₂²⋊C₈⋊₁₁S₃ = D₆⋊M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	48		C2^2:C8:11S3	192,285
C₂²⋊C₈⋊₁₂S₃ = D₆⋊C₈⋊C₂	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8:12S3	192,286
C₂²⋊C₈⋊₁₃S₃ = D₆⋊₂M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8:13S3	192,287
C₂²⋊C₈⋊₁₄S₃ = Dic₃⋊M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8:14S3	192,288
C₂²⋊C₈⋊₁₅S₃ = C₃⋊C₈⋊₂₆D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8:15S3	192,289
C₂²⋊C₈⋊₁₆S₃ = C₃⋊D₄⋊C₈	φ: trivial image	96		C2^2:C8:16S3	192,284

Non-split extensions G=N.Q with N=C₂²⋊C₈ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₈.₁S₃ = C₂³.₃₅D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	48		C2^2:C8.1S3	192,26
C₂²⋊C₈.₂S₃ = (C₂×Dic₃)⋊C₈	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8.2S3	192,28
C₂²⋊C₈.₃S₃ = C₂³.₄₀D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8.3S3	192,281
C₂²⋊C₈.₄S₃ = Dic₆.₃₂D₄	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8.4S3	192,298
C₂²⋊C₈.₅S₃ = C₂³.₁₅D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8.5S3	192,282
C₂²⋊C₈.₆S₃ = C₂³.₃₉D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8.6S3	192,280
C₂²⋊C₈.₇S₃ = Dic₃.M₄(2)	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8.7S3	192,278
C₂²⋊C₈.₈S₃ = C₂₄⋊C₄⋊C₂	φ: S₃/C₃ → C₂ ⊆ Out C₂²⋊C₈	96		C2^2:C8.8S3	192,279
C₂²⋊C₈.₉S₃ = Dic₃.₅M₄(2)	φ: trivial image	96		C2^2:C8.9S3	192,277

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