Extensions 1→N→G→Q→1 with N=C₄².C₂ and Q=S₃

Direct product G=N×Q with N=C₄².C₂ and Q=S₃

		d	ρ	Label	ID
S₃×C₄².C₂		96		S3xC4^2.C2	192,1246

Semidirect products G=N:Q with N=C₄².C₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².C₂⋊₁S₃ = D₁₂.₄Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:1S3	192,625
C₄².C₂⋊₂S₃ = C₄².₇₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:2S3	192,626
C₄².C₂⋊₃S₃ = C₄².₂₁₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:3S3	192,627
C₄².C₂⋊₄S₃ = C₄².₁₄₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:4S3	192,1248
C₄².C₂⋊₅S₃ = D₁₂⋊₇Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:5S3	192,1249
C₄².C₂⋊₆S₃ = C₄².₁₅₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:6S3	192,1251
C₄².C₂⋊₇S₃ = C₄².₁₅₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:7S3	192,1252
C₄².C₂⋊₈S₃ = C₄².₁₅₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:8S3	192,1253
C₄².C₂⋊₉S₃ = C₄².₁₅₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:9S3	192,1254
C₄².C₂⋊₁₀S₃ = C₄².₁₅₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:10S3	192,1255
C₄².C₂⋊₁₁S₃ = C₄².₁₅₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:11S3	192,1256
C₄².C₂⋊₁₂S₃ = C₄².₁₅₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:12S3	192,1257
C₄².C₂⋊₁₃S₃ = C₄².₁₅₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:13S3	192,1258
C₄².C₂⋊₁₄S₃ = C₄².₁₅₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	96		C4^2.C2:14S3	192,1259
C₄².C₂⋊₁₅S₃ = C₄².₂₃₆D₆	φ: trivial image	96		C4^2.C2:15S3	192,1247
C₄².C₂⋊₁₆S₃ = C₄².₂₃₇D₆	φ: trivial image	96		C4^2.C2:16S3	192,1250

Non-split extensions G=N.Q with N=C₄².C₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₄².C₂.₁S₃ = C₄².₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	192		C4^2.C2.1S3	192,102
C₄².C₂.₂S₃ = Dic₆.₄Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	192		C4^2.C2.2S3	192,622
C₄².C₂.₃S₃ = C₄².₆₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	192		C4^2.C2.3S3	192,623
C₄².C₂.₄S₃ = C₄².₂₁₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	192		C4^2.C2.4S3	192,624
C₄².C₂.₅S₃ = C₄².₇₁D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	192		C4^2.C2.5S3	192,628
C₄².C₂.₆S₃ = Dic₆⋊₇Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	192		C4^2.C2.6S3	192,1244
C₄².C₂.₇S₃ = C₄².₁₄₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₄².C₂	192		C4^2.C2.7S3	192,1245

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