Extensions 1→N→G→Q→1 with N=C₃xSD₁₆ and Q=C₆

Direct product G=NxQ with N=C₃xSD₁₆ and Q=C₆

		d	ρ	Label	ID
SD₁₆xC₃xC₆		144		SD16xC3xC6	288,830

Semidirect products G=N:Q with N=C₃xSD₁₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xSD₁₆):₁C₆ = C₃xQ₈:₃D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xSD₁₆	48	4	(C3xSD16):1C6	288,685
(C₃xSD₁₆):₂C₆ = C₃xD₄.D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xSD₁₆	48	4	(C3xSD16):2C6	288,686
(C₃xSD₁₆):₃C₆ = C₃xS₃xSD₁₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xSD₁₆	48	4	(C3xSD16):3C6	288,684
(C₃xSD₁₆):₄C₆ = C₃xQ₈.₇D₆	φ: C₆/C₃ → C₂ ⊆ Out C₃xSD₁₆	48	4	(C3xSD16):4C6	288,687
(C₃xSD₁₆):₅C₆ = C₃²xC₈:C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃xSD₁₆	72		(C3xSD16):5C6	288,833
(C₃xSD₁₆):₆C₆ = C₃²xC₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃xSD₁₆	144		(C3xSD16):6C6	288,834
(C₃xSD₁₆):₇C₆ = C₃²xC₄oD₈	φ: trivial image	144		(C3xSD16):7C6	288,832

Non-split extensions G=N.Q with N=C₃xSD₁₆ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xSD₁₆).₁C₆ = C₉xC₈:C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃xSD₁₆	72	4	(C3xSD16).1C6	288,186
(C₃xSD₁₆).₂C₆ = C₉xC₈.C₂²	φ: C₆/C₃ → C₂ ⊆ Out C₃xSD₁₆	144	4	(C3xSD16).2C6	288,187
(C₃xSD₁₆).₃C₆ = SD₁₆xC₁₈	φ: trivial image	144		(C3xSD16).3C6	288,183
(C₃xSD₁₆).₄C₆ = C₉xC₄oD₈	φ: trivial image	144	2	(C3xSD16).4C6	288,185

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