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

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

		d	ρ	Label	ID
C₂²⋊C₄×C₂₂		176		C2^2:C4xC22	352,150

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁C₂₂ = C₁₁×C₂³⋊C₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂²⋊C₄	88	4	C2^2:C4:1C22	352,48
C₂²⋊C₄⋊₂C₂₂ = C₁₁×C₂²≀C₂	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂²⋊C₄	88		C2^2:C4:2C22	352,155
C₂²⋊C₄⋊₃C₂₂ = C₁₁×C₄⋊D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂²⋊C₄	176		C2^2:C4:3C22	352,156
C₂²⋊C₄⋊₄C₂₂ = C₁₁×C₂².D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂²⋊C₄	176		C2^2:C4:4C22	352,158
C₂²⋊C₄⋊₅C₂₂ = C₁₁×C₄.₄D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂²⋊C₄	176		C2^2:C4:5C22	352,159
C₂²⋊C₄⋊₆C₂₂ = D₄×C₄₄	φ: trivial image	176		C2^2:C4:6C22	352,153

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁C₂₂ = C₁₁×C₂²⋊Q₈	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂²⋊C₄	176		C2^2:C4.1C22	352,157
C₂²⋊C₄.₂C₂₂ = C₁₁×C₄²⋊₂C₂	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₂²⋊C₄	176		C2^2:C4.2C22	352,161
C₂²⋊C₄.₃C₂₂ = C₁₁×C₄²⋊C₂	φ: trivial image	176		C2^2:C4.3C22	352,152

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