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

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

		d	ρ	Label	ID
C₁₂×C₁₃⋊C₃		156	3	C12xC13:C3	468,22

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₄×C₁₃⋊C₃) = Dic₃×C₁₃⋊C₃	φ: C₄×C₁₃⋊C₃/C₂×C₁₃⋊C₃ → C₂ ⊆ Aut C₃	156	6	C3:(C4xC13:C3)	468,20

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄×C₁₃⋊C₃) = C₄×C₁₃⋊C₉	central extension (φ=1)	468	3	C3.(C4xC13:C3)	468,2

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