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

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

		d	ρ	Label	ID
C₄⋊C₄×C₂₂		352		C4:C4xC22	352,151

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁C₂₂ = C₁₁×D₄⋊C₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄⋊C₄	176		C4:C4:1C22	352,51
C₄⋊C₄⋊₂C₂₂ = C₁₁×C₄⋊D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄⋊C₄	176		C4:C4:2C22	352,156
C₄⋊C₄⋊₃C₂₂ = C₁₁×C₂²⋊Q₈	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄⋊C₄	176		C4:C4:3C22	352,157
C₄⋊C₄⋊₄C₂₂ = C₁₁×C₂².D₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄⋊C₄	176		C4:C4:4C22	352,158
C₄⋊C₄⋊₅C₂₂ = C₁₁×C₄²⋊₂C₂	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄⋊C₄	176		C4:C4:5C22	352,161
C₄⋊C₄⋊₆C₂₂ = C₁₁×C₄²⋊C₂	φ: trivial image	176		C4:C4:6C22	352,152
C₄⋊C₄⋊₇C₂₂ = D₄×C₄₄	φ: trivial image	176		C4:C4:7C22	352,153

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

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁C₂₂ = C₁₁×Q₈⋊C₄	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄⋊C₄	352		C4:C4.1C22	352,52
C₄⋊C₄.₂C₂₂ = C₁₁×C₄.Q₈	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄⋊C₄	352		C4:C4.2C22	352,55
C₄⋊C₄.₃C₂₂ = C₁₁×C₂.D₈	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄⋊C₄	352		C4:C4.3C22	352,56
C₄⋊C₄.₄C₂₂ = C₁₁×C₄².C₂	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄⋊C₄	352		C4:C4.4C22	352,160
C₄⋊C₄.₅C₂₂ = C₁₁×C₄⋊Q₈	φ: C₂₂/C₁₁ → C₂ ⊆ Out C₄⋊C₄	352		C4:C4.5C22	352,163
C₄⋊C₄.₆C₂₂ = Q₈×C₄₄	φ: trivial image	352		C4:C4.6C22	352,154

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