Extensions 1→N→G→Q→1 with N=Dic₆ and Q=C₄

Direct product G=N×Q with N=Dic₆ and Q=C₄

		d	ρ	Label	ID
C₄×Dic₆		96		C4xDic6	96,75

Semidirect products G=N:Q with N=Dic₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆⋊₁C₄ = C₄²⋊₄S₃	φ: C₄/C₂ → C₂ ⊆ Out Dic₆	24	2	Dic6:1C4	96,12
Dic₆⋊₂C₄ = C₂.Dic₁₂	φ: C₄/C₂ → C₂ ⊆ Out Dic₆	96		Dic6:2C4	96,23
Dic₆⋊₃C₄ = C₆.SD₁₆	φ: C₄/C₂ → C₂ ⊆ Out Dic₆	96		Dic6:3C4	96,17
Dic₆⋊₄C₄ = D₁₂⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₆	24	4	Dic6:4C4	96,32
Dic₆⋊₅C₄ = Dic₆⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₆	96		Dic6:5C4	96,94

Non-split extensions G=N.Q with N=Dic₆ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₆.C₄ = D₁₂.C₄	φ: C₄/C₂ → C₂ ⊆ Out Dic₆	48	4	Dic6.C4	96,114
Dic₆.₂C₄ = C₈○D₁₂	φ: trivial image	48	2	Dic6.2C4	96,108

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