Extensions 1→N→G→Q→1 with N=C₆ and Q=Dic₁₃

Direct product G=NxQ with N=C₆ and Q=Dic₁₃

		d	ρ	Label	ID
C₆xDic₁₃		312		C6xDic13	312,30

Semidirect products G=N:Q with N=C₆ and Q=Dic₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:Dic₁₃ = C₂xDic₃₉	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₆	312		C6:Dic13	312,40

Non-split extensions G=N.Q with N=C₆ and Q=Dic₁₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.Dic₁₃ = C₃₉:₃C₈	φ: Dic₁₃/C₂₆ → C₂ ⊆ Aut C₆	312	2	C6.Dic13	312,5
C₆.₂Dic₁₃ = C₃xC₁₃:₂C₈	central extension (φ=1)	312	2	C6.2Dic13	312,4

Extensions 1→N→G→Q→1 with N=C6 and Q=Dic13