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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊(C₃×D₁₃) = C₆×D₃₉	φ: C₃×D₁₃/C₃₉ → C₂ ⊆ Aut C₆	156	2	C6:(C3xD13)	468,52

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.(C₃×D₁₃) = C₃×Dic₃₉	φ: C₃×D₁₃/C₃₉ → C₂ ⊆ Aut C₆	156	2	C6.(C3xD13)	468,25
C₆.₂(C₃×D₁₃) = C₉×Dic₁₃	central extension (φ=1)	468	2	C6.2(C3xD13)	468,4
C₆.₃(C₃×D₁₃) = C₁₈×D₁₃	central extension (φ=1)	234	2	C6.3(C3xD13)	468,15
C₆.₄(C₃×D₁₃) = C₃²×Dic₁₃	central extension (φ=1)	468		C6.4(C3xD13)	468,23

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