Extensions 1→N→G→Q→1 with N=C₉ and Q=C₁₃⋊C₃

Direct product G=N×Q with N=C₉ and Q=C₁₃⋊C₃

		d	ρ	Label	ID
C₉×C₁₃⋊C₃		117	3	C9xC13:C3	351,3

Semidirect products G=N:Q with N=C₉ and Q=C₁₃⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₁₃⋊C₃) = C₁₁₇⋊C₃	φ: C₁₃⋊C₃/C₁₃ → C₃ ⊆ Aut C₉	117	3	C9:1(C13:C3)	351,4
C₉⋊₂(C₁₃⋊C₃) = C₁₁₇⋊₃C₃	φ: C₁₃⋊C₃/C₁₃ → C₃ ⊆ Aut C₉	117	3	C9:2(C13:C3)	351,5

Non-split extensions G=N.Q with N=C₉ and Q=C₁₃⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₁₃⋊C₃) = C₁₃⋊C₂₇	central extension (φ=1)	351	3	C9.(C13:C3)	351,1

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Extensions 1→N→G→Q→1 with N=C9 and Q=C13⋊C3