Extensions 1→N→G→Q→1 with N=C₂²wrC₂ and Q=S₃

Direct product G=NxQ with N=C₂²wrC₂ and Q=S₃

		d	ρ	Label	ID
S₃xC₂²wrC₂		24		S3xC2^2wrC2	192,1147

Semidirect products G=N:Q with N=C₂²wrC₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²wrC₂:S₃ = C₂⁴:D₆	φ: S₃/C₁ → S₃ ⊆ Out C₂²wrC₂	8	6+	C2^2wrC2:S3	192,955
C₂²wrC₂:₂S₃ = C₂⁴:₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²wrC₂	24	4	C2^2wrC2:2S3	192,591
C₂²wrC₂:₃S₃ = C₂⁴:₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²wrC₂	48		C2^2wrC2:3S3	192,1148
C₂²wrC₂:₄S₃ = C₂⁴:₈D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²wrC₂	48		C2^2wrC2:4S3	192,1149
C₂²wrC₂:₅S₃ = C₂⁴.₄₄D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²wrC₂	48		C2^2wrC2:5S3	192,1150
C₂²wrC₂:₆S₃ = C₂⁴.₄₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²wrC₂	48		C2^2wrC2:6S3	192,1151
C₂²wrC₂:₇S₃ = C₂⁴.₄₆D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²wrC₂	48		C2^2wrC2:7S3	192,1152
C₂²wrC₂:₈S₃ = C₂⁴:₉D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²wrC₂	48		C2^2wrC2:8S3	192,1153
C₂²wrC₂:₉S₃ = C₂⁴.₄₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²wrC₂	48		C2^2wrC2:9S3	192,1154
C₂²wrC₂:₁₀S₃ = C₂⁴.₆₇D₆	φ: trivial image	48		C2^2wrC2:10S3	192,1145

Non-split extensions G=N.Q with N=C₂²wrC₂ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²wrC₂.S₃ = C₂⁴:Dic₃	φ: S₃/C₁ → S₃ ⊆ Out C₂²wrC₂	16	12+	C2^2wrC2.S3	192,184
C₂²wrC₂.₂S₃ = C₂⁴:₅Dic₃	φ: S₃/C₃ → C₂ ⊆ Out C₂²wrC₂	24	4	C2^2wrC2.2S3	192,95
C₂²wrC₂.₃S₃ = C₂⁴.₄₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₂²wrC₂	48		C2^2wrC2.3S3	192,1146

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