Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆xD₁₃

Direct product G=NxQ with N=C₃ and Q=C₆xD₁₃

		d	ρ	Label	ID
C₃xC₆xD₁₃		234		C3xC6xD13	468,50

Semidirect products G=N:Q with N=C₃ and Q=C₆xD₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₆xD₁₃) = C₃xS₃xD₁₃	φ: C₆xD₁₃/C₃xD₁₃ → C₂ ⊆ Aut C₃	78	4	C3:1(C6xD13)	468,42
C₃:₂(C₆xD₁₃) = C₆xD₃₉	φ: C₆xD₁₃/C₇₈ → C₂ ⊆ Aut C₃	156	2	C3:2(C6xD13)	468,52

Non-split extensions G=N.Q with N=C₃ and Q=C₆xD₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆xD₁₃) = C₁₈xD₁₃	central extension (φ=1)	234	2	C3.(C6xD13)	468,15

Extensions 1→N→G→Q→1 with N=C3 and Q=C6xD13