Extensions 1→N→G→Q→1 with N=C₃×C₁₃⋊C₃ and Q=C₃

Direct product G=N×Q with N=C₃×C₁₃⋊C₃ and Q=C₃

		d	ρ	Label	ID
C₃²×C₁₃⋊C₃		117		C3^2xC13:C3	351,13

Semidirect products G=N:Q with N=C₃×C₁₃⋊C₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₁₃⋊C₃)⋊C₃ = C₁₃⋊He₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₁₃⋊C₃	117	3	(C3xC13:C3):C3	351,8

Non-split extensions G=N.Q with N=C₃×C₁₃⋊C₃ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₁₃⋊C₃).₁C₃ = C₁₁₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₁₃⋊C₃	117	3	(C3xC13:C3).1C3	351,4
(C₃×C₁₃⋊C₃).₂C₃ = C₁₁₇⋊₃C₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₁₃⋊C₃	117	3	(C3xC13:C3).2C3	351,5
(C₃×C₁₃⋊C₃).₃C₃ = C₉×C₁₃⋊C₃	φ: trivial image	117	3	(C3xC13:C3).3C3	351,3

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3×C13⋊C3 and Q=C3