Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=C₆

Direct product G=N×Q with N=C₂²⋊C₄ and Q=C₆

		d	ρ	Label	ID
C₆×C₂²⋊C₄		48		C6xC2^2:C4	96,162

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁C₆ = C₃×C₂³⋊C₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²⋊C₄	24	4	C2^2:C4:1C6	96,49
C₂²⋊C₄⋊₂C₆ = C₃×C₂²≀C₂	φ: C₆/C₃ → C₂ ⊆ Out C₂²⋊C₄	24		C2^2:C4:2C6	96,167
C₂²⋊C₄⋊₃C₆ = C₃×C₄⋊D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4:3C6	96,168
C₂²⋊C₄⋊₄C₆ = C₃×C₂².D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4:4C6	96,170
C₂²⋊C₄⋊₅C₆ = C₃×C₄.₄D₄	φ: C₆/C₃ → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4:5C6	96,171
C₂²⋊C₄⋊₆C₆ = D₄×C₁₂	φ: trivial image	48		C2^2:C4:6C6	96,165

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁C₆ = C₃×C₂²⋊Q₈	φ: C₆/C₃ → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4.1C6	96,169
C₂²⋊C₄.₂C₆ = C₃×C₄²⋊₂C₂	φ: C₆/C₃ → C₂ ⊆ Out C₂²⋊C₄	48		C2^2:C4.2C6	96,173
C₂²⋊C₄.₃C₆ = C₃×C₄²⋊C₂	φ: trivial image	48		C2^2:C4.3C6	96,164

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