Extensions 1→N→G→Q→1 with N=C₆ and Q=Dic₁₉

Direct product G=N×Q with N=C₆ and Q=Dic₁₉

		d	ρ	Label	ID
C₆×Dic₁₉		456		C6xDic19	456,27

Semidirect products G=N:Q with N=C₆ and Q=Dic₁₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊Dic₁₉ = C₂×Dic₅₇	φ: Dic₁₉/C₃₈ → C₂ ⊆ Aut C₆	456		C6:Dic19	456,37

Non-split extensions G=N.Q with N=C₆ and Q=Dic₁₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.Dic₁₉ = C₅₇⋊C₈	φ: Dic₁₉/C₃₈ → C₂ ⊆ Aut C₆	456	2	C6.Dic19	456,5
C₆.₂Dic₁₉ = C₃×C₁₉⋊C₈	central extension (φ=1)	456	2	C6.2Dic19	456,4

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Extensions 1→N→G→Q→1 with N=C6 and Q=Dic19