Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂×C₁₃⋊C₃

Direct product G=N×Q with N=C₃ and Q=C₂×C₁₃⋊C₃

		d	ρ	Label	ID
C₆×C₁₃⋊C₃		78	3	C6xC13:C3	234,10

Semidirect products G=N:Q with N=C₃ and Q=C₂×C₁₃⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₂×C₁₃⋊C₃) = S₃×C₁₃⋊C₃	φ: C₂×C₁₃⋊C₃/C₁₃⋊C₃ → C₂ ⊆ Aut C₃	39	6	C3:(C2xC13:C3)	234,8

Non-split extensions G=N.Q with N=C₃ and Q=C₂×C₁₃⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂×C₁₃⋊C₃) = C₂×C₁₃⋊C₉	central extension (φ=1)	234	3	C3.(C2xC13:C3)	234,2

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Extensions 1→N→G→Q→1 with N=C3 and Q=C2×C13⋊C3