Extensions 1→N→G→Q→1 with N=C₃×D₄ and Q=S₃

Direct product G=N×Q with N=C₃×D₄ and Q=S₃

		d	ρ	Label	ID
C₃×S₃×D₄		24	4	C3xS3xD4	144,162

Semidirect products G=N:Q with N=C₃×D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄)⋊₁S₃ = C₃²⋊₇D₈	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₄	72		(C3xD4):1S3	144,96
(C₃×D₄)⋊₂S₃ = D₄×C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₄	36		(C3xD4):2S3	144,172
(C₃×D₄)⋊₃S₃ = C₁₂.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₄	72		(C3xD4):3S3	144,173
(C₃×D₄)⋊₄S₃ = C₃×D₄⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₄	24	4	(C3xD4):4S3	144,80
(C₃×D₄)⋊₅S₃ = C₃×D₄⋊₂S₃	φ: trivial image	24	4	(C3xD4):5S3	144,163

Non-split extensions G=N.Q with N=C₃×D₄ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×D₄).₁S₃ = D₄.D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₄	72	4-	(C3xD4).1S3	144,15
(C₃×D₄).₂S₃ = D₄⋊D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₄	72	4+	(C3xD4).2S3	144,16
(C₃×D₄).₃S₃ = D₄×D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₄	36	4+	(C3xD4).3S3	144,41
(C₃×D₄).₄S₃ = D₄⋊₂D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₄	72	4-	(C3xD4).4S3	144,42
(C₃×D₄).₅S₃ = C₃²⋊₉SD₁₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₄	72		(C3xD4).5S3	144,97
(C₃×D₄).₆S₃ = C₃×D₄.S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×D₄	24	4	(C3xD4).6S3	144,81

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