Extensions 1→N→G→Q→1 with N=C₄○D₄ and Q=C₁₂

Direct product G=N×Q with N=C₄○D₄ and Q=C₁₂

		d	ρ	Label	ID
C₁₂×C₄○D₄		96		C12xC4oD4	192,1406

Semidirect products G=N:Q with N=C₄○D₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄⋊C₁₂ = C₄○D₄⋊C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Out C₄○D₄	64		C4oD4:C12	192,999
C₄○D₄⋊₂C₁₂ = C₄×C₄.A₄	φ: C₁₂/C₄ → C₃ ⊆ Out C₄○D₄	64		C4oD4:2C12	192,997
C₄○D₄⋊₃C₁₂ = C₃×C₂³.₂₄D₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₄○D₄	96		C4oD4:3C12	192,849
C₄○D₄⋊₄C₁₂ = C₃×C₂³.₃₆D₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₄○D₄	96		C4oD4:4C12	192,850
C₄○D₄⋊₅C₁₂ = C₆×C₄≀C₂	φ: C₁₂/C₆ → C₂ ⊆ Out C₄○D₄	48		C4oD4:5C12	192,853
C₄○D₄⋊₆C₁₂ = C₃×C₄²⋊C₂²	φ: C₁₂/C₆ → C₂ ⊆ Out C₄○D₄	48	4	C4oD4:6C12	192,854
C₄○D₄⋊₇C₁₂ = C₃×C₂³.₃₃C₂³	φ: C₁₂/C₆ → C₂ ⊆ Out C₄○D₄	96		C4oD4:7C12	192,1409

Non-split extensions G=N.Q with N=C₄○D₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄○D₄.C₁₂ = M₄(2).A₄	φ: C₁₂/C₂ → C₆ ⊆ Out C₄○D₄	32	4	C4oD4.C12	192,1013
C₄○D₄.₂C₁₂ = C₁₆.A₄	φ: C₁₂/C₄ → C₃ ⊆ Out C₄○D₄	64	2	C4oD4.2C12	192,204
C₄○D₄.₃C₁₂ = C₂×C₈.A₄	φ: C₁₂/C₄ → C₃ ⊆ Out C₄○D₄	64		C4oD4.3C12	192,1012
C₄○D₄.₄C₁₂ = C₃×D₄.C₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₄○D₄	96	2	C4oD4.4C12	192,156
C₄○D₄.₅C₁₂ = C₃×Q₈○M₄(2)	φ: C₁₂/C₆ → C₂ ⊆ Out C₄○D₄	48	4	C4oD4.5C12	192,1457
C₄○D₄.₆C₁₂ = C₃×D₄○C₁₆	φ: trivial image	96	2	C4oD4.6C12	192,937
C₄○D₄.₇C₁₂ = C₆×C₈○D₄	φ: trivial image	96		C4oD4.7C12	192,1456

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