Extensions 1→N→G→Q→1 with N=C₃×C₂.C₄² and Q=C₃

Direct product G=N×Q with N=C₃×C₂.C₄² and Q=C₃

		d	ρ	Label	ID
C₃²×C₂.C₄²		288		C3^2xC2.C4^2	288,313

Semidirect products G=N:Q with N=C₃×C₂.C₄² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₂.C₄²)⋊C₃ = C₃×C₂³.₃A₄	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₂.C₄²	36	6	(C3xC2.C4^2):C3	288,230

Non-split extensions G=N.Q with N=C₃×C₂.C₄² and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₂.C₄²).C₃ = C₂.(C₄²⋊C₉)	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₂.C₄²	36	6	(C3xC2.C4^2).C3	288,3
(C₃×C₂.C₄²).₂C₃ = C₉×C₂.C₄²	φ: trivial image	288		(C3xC2.C4^2).2C3	288,45

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3×C2.C42 and Q=C3