Extensions 1→N→G→Q→1 with N=C₃xC₃:C₁₆ and Q=C₂

Direct product G=NxQ with N=C₃xC₃:C₁₆ and Q=C₂

		d	ρ	Label	ID
C₆xC₃:C₁₆		96		C6xC3:C16	288,245

Semidirect products G=N:Q with N=C₃xC₃:C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃:C₁₆):₁C₂ = C₃:D₄₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:C₁₆	48	4+	(C3xC3:C16):1C2	288,194
(C₃xC₃:C₁₆):₂C₂ = C₃²:₃SD₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:C₁₆	96	4-	(C3xC3:C16):2C2	288,196
(C₃xC₃:C₁₆):₃C₂ = C₂₄.₄₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:C₁₆	48	4+	(C3xC3:C16):3C2	288,197
(C₃xC₃:C₁₆):₄C₂ = C₃xC₃:D₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:C₁₆	48	4	(C3xC3:C16):4C2	288,260
(C₃xC₃:C₁₆):₅C₂ = C₃xD₈.S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:C₁₆	48	4	(C3xC3:C16):5C2	288,261
(C₃xC₃:C₁₆):₆C₂ = C₃xC₈.₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:C₁₆	96	4	(C3xC3:C16):6C2	288,262
(C₃xC₃:C₁₆):₇C₂ = S₃xC₃:C₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:C₁₆	96	4	(C3xC3:C16):7C2	288,189
(C₃xC₃:C₁₆):₈C₂ = C₂₄.₆₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:C₁₆	48	4	(C3xC3:C16):8C2	288,190
(C₃xC₃:C₁₆):₉C₂ = C₂₄.₆₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:C₁₆	96	4	(C3xC3:C16):9C2	288,191
(C₃xC₃:C₁₆):₁₀C₂ = C₂₄.₆₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:C₁₆	48	4	(C3xC3:C16):10C2	288,192
(C₃xC₃:C₁₆):₁₁C₂ = C₃xD₆.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:C₁₆	96	2	(C3xC3:C16):11C2	288,232
(C₃xC₃:C₁₆):₁₂C₂ = C₃xC₁₂.C₈	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:C₁₆	48	2	(C3xC3:C16):12C2	288,246
(C₃xC₃:C₁₆):₁₃C₂ = S₃xC₄₈	φ: trivial image	96	2	(C3xC3:C16):13C2	288,231

Non-split extensions G=N.Q with N=C₃xC₃:C₁₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃xC₃:C₁₆).₁C₂ = C₃²:₃Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:C₁₆	96	4-	(C3xC3:C16).1C2	288,199
(C₃xC₃:C₁₆).₂C₂ = C₃xC₃:Q₃₂	φ: C₂/C₁ → C₂ ⊆ Out C₃xC₃:C₁₆	96	4	(C3xC3:C16).2C2	288,263

׿

x

:

Z

F

o

wr

Q

<