Extensions 1→N→G→Q→1 with N=C₃xM₄(2) and Q=S₃

Direct product G=NxQ with N=C₃xM₄(2) and Q=S₃

		d	ρ	Label	ID
C₃xS₃xM₄(2)		48	4	C3xS3xM4(2)	288,677

Semidirect products G=N:Q with N=C₃xM₄(2) and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xM₄(2)):₁S₃ = C₂₄:₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	72		(C3xM4(2)):1S3	288,765
(C₃xM₄(2)):₂S₃ = C₂₄.₅D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	144		(C3xM4(2)):2S3	288,766
(C₃xM₄(2)):₃S₃ = C₃xC₈:D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	48	4	(C3xM4(2)):3S3	288,679
(C₃xM₄(2)):₄S₃ = C₃xC₈.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	48	4	(C3xM4(2)):4S3	288,680
(C₃xM₄(2)):₅S₃ = M₄(2)xC₃:S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	72		(C3xM4(2)):5S3	288,763
(C₃xM₄(2)):₆S₃ = C₂₄.₄₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	144		(C3xM4(2)):6S3	288,764
(C₃xM₄(2)):₇S₃ = C₃xC₁₂.₄₆D₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	48	4	(C3xM4(2)):7S3	288,257
(C₃xM₄(2)):₈S₃ = C₃xD₁₂:C₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	48	4	(C3xM4(2)):8S3	288,259
(C₃xM₄(2)):₉S₃ = C₁₂.₁₉D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	72		(C3xM4(2)):9S3	288,298
(C₃xM₄(2)):₁₀S₃ = C₆².₃₇D₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	72		(C3xM4(2)):10S3	288,300
(C₃xM₄(2)):₁₁S₃ = C₃xD₁₂.C₄	φ: trivial image	48	4	(C3xM4(2)):11S3	288,678

Non-split extensions G=N.Q with N=C₃xM₄(2) and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xM₄(2)).₁S₃ = C₈:D₁₈	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	72	4+	(C3xM4(2)).1S3	288,118
(C₃xM₄(2)).₂S₃ = C₈.D₁₈	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	144	4-	(C3xM4(2)).2S3	288,119
(C₃xM₄(2)).₃S₃ = M₄(2)xD₉	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	72	4	(C3xM4(2)).3S3	288,116
(C₃xM₄(2)).₄S₃ = D₃₆.C₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	144	4	(C3xM4(2)).4S3	288,117
(C₃xM₄(2)).₅S₃ = C₃₆.₅₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	144	4	(C3xM4(2)).5S3	288,29
(C₃xM₄(2)).₆S₃ = C₄.D₃₆	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	144	4-	(C3xM4(2)).6S3	288,30
(C₃xM₄(2)).₇S₃ = C₃₆.₄₈D₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	72	4+	(C3xM4(2)).7S3	288,31
(C₃xM₄(2)).₈S₃ = Dic₁₈:C₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	72	4	(C3xM4(2)).8S3	288,32
(C₃xM₄(2)).₉S₃ = C₃xC₁₂.₅₃D₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	48	4	(C3xM4(2)).9S3	288,256
(C₃xM₄(2)).₁₀S₃ = C₃xC₁₂.₄₇D₄	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	48	4	(C3xM4(2)).10S3	288,258
(C₃xM₄(2)).₁₁S₃ = C₆².₈Q₈	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	144		(C3xM4(2)).11S3	288,297
(C₃xM₄(2)).₁₂S₃ = C₁₂.₂₀D₁₂	φ: S₃/C₃ → C₂ ⊆ Out C₃xM₄(2)	144		(C3xM4(2)).12S3	288,299

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