Extensions 1→N→G→Q→1 with N=C₂₄ and Q=S₃

Direct product G=NxQ with N=C₂₄ and Q=S₃

		d	ρ	Label	ID
S₃xC₂₄		48	2	S3xC24	144,69

Semidirect products G=N:Q with N=C₂₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄:₁S₃ = C₃²:₅D₈	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	72		C24:1S3	144,88
C₂₄:₂S₃ = C₂₄:₂S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	72		C24:2S3	144,87
C₂₄:₃S₃ = C₃xD₂₄	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	48	2	C24:3S3	144,72
C₂₄:₄S₃ = C₈xC₃:S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	72		C24:4S3	144,85
C₂₄:₅S₃ = C₂₄:S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	72		C24:5S3	144,86
C₂₄:₆S₃ = C₃xC₂₄:C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	48	2	C24:6S3	144,71
C₂₄:₇S₃ = C₃xC₈:S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	48	2	C24:7S3	144,70

Non-split extensions G=N.Q with N=C₂₄ and Q=S₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄.₁S₃ = Dic₃₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	144	2-	C24.1S3	144,4
C₂₄.₂S₃ = D₇₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	72	2+	C24.2S3	144,8
C₂₄.₃S₃ = C₃²:₅Q₁₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	144		C24.3S3	144,89
C₂₄.₄S₃ = C₇₂:C₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	72	2	C24.4S3	144,7
C₂₄.₅S₃ = C₃xDic₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	48	2	C24.5S3	144,73
C₂₄.₆S₃ = C₉:C₁₆	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	144	2	C24.6S3	144,1
C₂₄.₇S₃ = C₈xD₉	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	72	2	C24.7S3	144,5
C₂₄.₈S₃ = C₈:D₉	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	72	2	C24.8S3	144,6
C₂₄.₉S₃ = C₂₄.S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₂₄	144		C24.9S3	144,29
C₂₄.₁₀S₃ = C₃xC₃:C₁₆	central extension (φ=1)	48	2	C24.10S3	144,28

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