Extensions 1→N→G→Q→1 with N=C₃×SD₁₆ and Q=C₆

Direct product G=N×Q with N=C₃×SD₁₆ and Q=C₆

		d	ρ	Label	ID
SD₁₆×C₃×C₆		144		SD16xC3xC6	288,830

Semidirect products G=N:Q with N=C₃×SD₁₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×SD₁₆)⋊₁C₆ = C₃×Q₈⋊₃D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×SD₁₆	48	4	(C3xSD16):1C6	288,685
(C₃×SD₁₆)⋊₂C₆ = C₃×D₄.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×SD₁₆	48	4	(C3xSD16):2C6	288,686
(C₃×SD₁₆)⋊₃C₆ = C₃×S₃×SD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×SD₁₆	48	4	(C3xSD16):3C6	288,684
(C₃×SD₁₆)⋊₄C₆ = C₃×Q₈.₇D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃×SD₁₆	48	4	(C3xSD16):4C6	288,687
(C₃×SD₁₆)⋊₅C₆ = C₃²×C₈⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃×SD₁₆	72		(C3xSD16):5C6	288,833
(C₃×SD₁₆)⋊₆C₆ = C₃²×C₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃×SD₁₆	144		(C3xSD16):6C6	288,834
(C₃×SD₁₆)⋊₇C₆ = C₃²×C₄○D₈	φ: trivial image	144		(C3xSD16):7C6	288,832

Non-split extensions G=N.Q with N=C₃×SD₁₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×SD₁₆).₁C₆ = C₉×C₈⋊C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃×SD₁₆	72	4	(C3xSD16).1C6	288,186
(C₃×SD₁₆).₂C₆ = C₉×C₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃×SD₁₆	144	4	(C3xSD16).2C6	288,187
(C₃×SD₁₆).₃C₆ = SD₁₆×C₁₈	φ: trivial image	144		(C3xSD16).3C6	288,183
(C₃×SD₁₆).₄C₆ = C₉×C₄○D₈	φ: trivial image	144	2	(C3xSD16).4C6	288,185

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