Extensions 1→N→G→Q→1 with N=C₄⋊C₄ and Q=C₁₀

Direct product G=N×Q with N=C₄⋊C₄ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₄⋊C₄		160		C10xC4:C4	160,177

Semidirect products G=N:Q with N=C₄⋊C₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁C₁₀ = C₅×D₄⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:1C10	160,52
C₄⋊C₄⋊₂C₁₀ = C₅×C₄⋊D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:2C10	160,182
C₄⋊C₄⋊₃C₁₀ = C₅×C₂²⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:3C10	160,183
C₄⋊C₄⋊₄C₁₀ = C₅×C₂².D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:4C10	160,184
C₄⋊C₄⋊₅C₁₀ = C₅×C₄²⋊₂C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₄	80		C4:C4:5C10	160,187
C₄⋊C₄⋊₆C₁₀ = C₅×C₄²⋊C₂	φ: trivial image	80		C4:C4:6C10	160,178
C₄⋊C₄⋊₇C₁₀ = D₄×C₂₀	φ: trivial image	80		C4:C4:7C10	160,179

Non-split extensions G=N.Q with N=C₄⋊C₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁C₁₀ = C₅×Q₈⋊C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.1C10	160,53
C₄⋊C₄.₂C₁₀ = C₅×C₄.Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.2C10	160,56
C₄⋊C₄.₃C₁₀ = C₅×C₂.D₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.3C10	160,57
C₄⋊C₄.₄C₁₀ = C₅×C₄².C₂	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.4C10	160,186
C₄⋊C₄.₅C₁₀ = C₅×C₄⋊Q₈	φ: C₁₀/C₅ → C₂ ⊆ Out C₄⋊C₄	160		C4:C4.5C10	160,189
C₄⋊C₄.₆C₁₀ = Q₈×C₂₀	φ: trivial image	160		C4:C4.6C10	160,180

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