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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₆×D₁₃) = C₃×S₃×D₁₃	φ: C₆×D₁₃/C₃×D₁₃ → C₂ ⊆ Aut C₃	78	4	C3:1(C6xD13)	468,42
C₃⋊₂(C₆×D₁₃) = C₆×D₃₉	φ: C₆×D₁₃/C₇₈ → C₂ ⊆ Aut C₃	156	2	C3:2(C6xD13)	468,52

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆×D₁₃) = C₁₈×D₁₃	central extension (φ=1)	234	2	C3.(C6xD13)	468,15

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