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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃×C₁₃⋊C₄) = C₃×C₃₉⋊C₄	φ: C₃×C₁₃⋊C₄/C₃×D₁₃ → C₂ ⊆ Aut C₃	78	4	C3:(C3xC13:C4)	468,37

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃×C₁₃⋊C₄) = C₉×C₁₃⋊C₄	central extension (φ=1)	117	4	C3.(C3xC13:C4)	468,9

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