Extensions 1→N→G→Q→1 with N=C₃×C₁₃⋊C₄ and Q=C₃

Direct product G=N×Q with N=C₃×C₁₃⋊C₄ and Q=C₃

		d	ρ	Label	ID
C₃²×C₁₃⋊C₄		117		C3^2xC13:C4	468,36

Semidirect products G=N:Q with N=C₃×C₁₃⋊C₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₁₃⋊C₄)⋊C₃ = C₃×F₁₃	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₁₃⋊C₄	39	12	(C3xC13:C4):C3	468,29

Non-split extensions G=N.Q with N=C₃×C₁₃⋊C₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×C₁₃⋊C₄).C₃ = C₁₃⋊C₃₆	φ: C₃/C₁ → C₃ ⊆ Out C₃×C₁₃⋊C₄	117	12	(C3xC13:C4).C3	468,7
(C₃×C₁₃⋊C₄).₂C₃ = C₉×C₁₃⋊C₄	φ: trivial image	117	4	(C3xC13:C4).2C3	468,9

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Extensions 1→N→G→Q→1 with N=C3×C13⋊C4 and Q=C3