Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₈

Direct product G=N×Q with N=Dic₆ and Q=C₈

		d	ρ	Label	ID
C₈×Dic₆		192		C8xDic6	192,237

Semidirect products G=N:Q with N=Dic₆ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁C₈ = C₄.₈Dic₁₂	φ: C₈/C₄ → C₂ ⊆ Out Dic₆	192		Dic6:1C8	192,15
Dic₆⋊₂C₈ = Dic₆⋊₂C₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₆	192		Dic6:2C8	192,43
Dic₆⋊₃C₈ = Dic₆⋊C₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₆	192		Dic6:3C8	192,389

Non-split extensions G=N.Q with N=Dic₆ and Q=C₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.₁C₈ = D₁₂.C₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₆	96	2	Dic6.1C8	192,67
Dic₆.₂C₈ = Dic₆.C₈	φ: C₈/C₄ → C₂ ⊆ Out Dic₆	96	4	Dic6.2C8	192,74
Dic₆.₃C₈ = C₁₆.₁₂D₆	φ: C₈/C₄ → C₂ ⊆ Out Dic₆	96	4	Dic6.3C8	192,466
Dic₆.₄C₈ = D₁₂.₄C₈	φ: trivial image	96	2	Dic6.4C8	192,460

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