Extensions 1→N→G→Q→1 with N=C₃×SD₁₆ and Q=S₃

Direct product G=N×Q with N=C₃×SD₁₆ and Q=S₃

		d	ρ	Label	ID
C₃×S₃×SD₁₆		48	4	C3xS3xSD16	288,684

Semidirect products G=N:Q with N=C₃×SD₁₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×SD₁₆)⋊₁S₃ = C₂₄⋊₇D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×SD₁₆	72		(C3xSD16):1S3	288,771
(C₃×SD₁₆)⋊₂S₃ = C₂₄.₃₂D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×SD₁₆	144		(C3xSD16):2S3	288,772
(C₃×SD₁₆)⋊₃S₃ = SD₁₆×C₃⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out C₃×SD₁₆	72		(C3xSD16):3S3	288,770
(C₃×SD₁₆)⋊₄S₃ = C₂₄.₄₀D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×SD₁₆	144		(C3xSD16):4S3	288,773
(C₃×SD₁₆)⋊₅S₃ = C₃×Q₈⋊₃D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×SD₁₆	48	4	(C3xSD16):5S3	288,685
(C₃×SD₁₆)⋊₆S₃ = C₃×D₄.D₆	φ: S₃/C₃ → C₂ ⊆ Out C₃×SD₁₆	48	4	(C3xSD16):6S3	288,686
(C₃×SD₁₆)⋊₇S₃ = C₃×Q₈.₇D₆	φ: trivial image	48	4	(C3xSD16):7S3	288,687

Non-split extensions G=N.Q with N=C₃×SD₁₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×SD₁₆).₁S₃ = D₇₂⋊C₂	φ: S₃/C₃ → C₂ ⊆ Out C₃×SD₁₆	72	4+	(C3xSD16).1S3	288,124
(C₃×SD₁₆).₂S₃ = SD₁₆⋊D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×SD₁₆	144	4-	(C3xSD16).2S3	288,125
(C₃×SD₁₆).₃S₃ = SD₁₆×D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×SD₁₆	72	4	(C3xSD16).3S3	288,123
(C₃×SD₁₆).₄S₃ = SD₁₆⋊₃D₉	φ: S₃/C₃ → C₂ ⊆ Out C₃×SD₁₆	144	4	(C3xSD16).4S3	288,126

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