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

Direct product G=NxQ with N=C₄² and Q=S₃

		d	ρ	Label	ID
S₃xC₄²		48		S3xC4^2	96,78

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²:S₃ = C₄²:S₃	φ: S₃/C₁ → S₃ ⊆ Aut C₄²	12	3	C4^2:S3	96,64
C₄²:₂S₃ = C₄²:₂S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₄²	48		C4^2:2S3	96,79
C₄²:₃S₃ = C₄²:₃S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₄²	48		C4^2:3S3	96,83
C₄²:₄S₃ = C₄²:₄S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₄²	24	2	C4^2:4S3	96,12
C₄²:₅S₃ = C₄xD₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄²	48		C4^2:5S3	96,80
C₄²:₆S₃ = C₄:D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₄²	48		C4^2:6S3	96,81
C₄²:₇S₃ = C₄²:₇S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₄²	48		C4^2:7S3	96,82

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁S₃ = C₄².S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₄²	96		C4^2.1S3	96,10
C₄².₂S₃ = C₁₂:C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄²	96		C4^2.2S3	96,11
C₄².₃S₃ = C₄xDic₆	φ: S₃/C₃ → C₂ ⊆ Aut C₄²	96		C4^2.3S3	96,75
C₄².₄S₃ = C₁₂:₂Q₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄²	96		C4^2.4S3	96,76
C₄².₅S₃ = C₁₂.₆Q₈	φ: S₃/C₃ → C₂ ⊆ Aut C₄²	96		C4^2.5S3	96,77
C₄².₆S₃ = C₄xC₃:C₈	central extension (φ=1)	96		C4^2.6S3	96,9

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