Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₁₂

Direct product G=N×Q with N=C₂²⋊C₄ and Q=C₁₂

		d	ρ	Label	ID
C₁₂×C₂²⋊C₄		96		C12xC2^2:C4	192,810

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁C₁₂ = C₃×C₂≀C₄	φ: C₁₂/C₃ → C₄ ⊆ Out C₂²⋊C₄	24	4	C2^2:C4:1C12	192,157
C₂²⋊C₄⋊₂C₁₂ = C₃×C₂³.D₄	φ: C₁₂/C₃ → C₄ ⊆ Out C₂²⋊C₄	48	4	C2^2:C4:2C12	192,158
C₂²⋊C₄⋊₃C₁₂ = C₃×C₂³.₉D₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4:3C12	192,148
C₂²⋊C₄⋊₄C₁₂ = C₃×C₂³.₈Q₈	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²⋊C₄	96		C2^2:C4:4C12	192,818
C₂²⋊C₄⋊₅C₁₂ = C₃×C₂⁴.C₂²	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²⋊C₄	96		C2^2:C4:5C12	192,821

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁C₁₂ = C₃×M₄(2)⋊₄C₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²⋊C₄	48	4	C2^2:C4.1C12	192,150
C₂²⋊C₄.₂C₁₂ = C₃×C₄².₆C₂²	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²⋊C₄	96		C2^2:C4.2C12	192,857
C₂²⋊C₄.₃C₁₂ = C₃×C₄².₇C₂²	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²⋊C₄	96		C2^2:C4.3C12	192,866
C₂²⋊C₄.₄C₁₂ = C₃×C₈⋊₉D₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²⋊C₄	96		C2^2:C4.4C12	192,868
C₂²⋊C₄.₅C₁₂ = C₃×C₈⋊₆D₄	φ: C₁₂/C₆ → C₂ ⊆ Out C₂²⋊C₄	96		C2^2:C4.5C12	192,869
C₂²⋊C₄.₆C₁₂ = C₃×C₈○₂M₄(2)	φ: trivial image	96		C2^2:C4.6C12	192,838
C₂²⋊C₄.₇C₁₂ = D₄×C₂₄	φ: trivial image	96		C2^2:C4.7C12	192,867

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