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

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

		d	ρ	Label	ID
C₆×Dic₁₃		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 = C₂×Dic₃₉	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 = C₃×C₁₃⋊₂C₈	central extension (φ=1)	312	2	C6.2Dic13	312,4

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