Extensions 1→N→G→Q→1 with N=C₃×C₆ and Q=D₁₃

Direct product G=N×Q with N=C₃×C₆ and Q=D₁₃

		d	ρ	Label	ID
C₃×C₆×D₁₃		234		C3xC6xD13	468,50

Semidirect products G=N:Q with N=C₃×C₆ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆)⋊₁D₁₃ = C₆×D₃₉	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₃×C₆	156	2	(C3xC6):1D13	468,52
(C₃×C₆)⋊₂D₁₃ = C₂×C₃⋊D₃₉	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₃×C₆	234		(C3xC6):2D13	468,54

Non-split extensions G=N.Q with N=C₃×C₆ and Q=D₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₆).₁D₁₃ = C₃×Dic₃₉	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₃×C₆	156	2	(C3xC6).1D13	468,25
(C₃×C₆).₂D₁₃ = C₃⋊Dic₃₉	φ: D₁₃/C₁₃ → C₂ ⊆ Aut C₃×C₆	468		(C3xC6).2D13	468,27
(C₃×C₆).₃D₁₃ = C₃²×Dic₁₃	central extension (φ=1)	468		(C3xC6).3D13	468,23

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Extensions 1→N→G→Q→1 with N=C3×C6 and Q=D13