Extensions 1→N→G→Q→1 with N=C₄.D₄ and Q=C₁₀

Direct product G=N×Q with N=C₄.D₄ and Q=C₁₀

		d	ρ	Label	ID
C₁₀×C₄.D₄		80		C10xC4.D4	320,912

Semidirect products G=N:Q with N=C₄.D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.D₄⋊₁C₁₀ = C₅×D₄⋊₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄.D₄	40	4	C4.D4:1C10	320,954
C₄.D₄⋊₂C₁₀ = C₅×D₄.₉D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄.D₄	80	4	C4.D4:2C10	320,956
C₄.D₄⋊₃C₁₀ = C₅×D₄.₃D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄.D₄	80	4	C4.D4:3C10	320,972
C₄.D₄⋊₄C₁₀ = C₅×D₄.₄D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄.D₄	80	4	C4.D4:4C10	320,973
C₄.D₄⋊₅C₁₀ = C₅×C₂≀C₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄.D₄	40	4	C4.D4:5C10	320,156
C₄.D₄⋊₆C₁₀ = C₅×M₄(2).₈C₂²	φ: trivial image	80	4	C4.D4:6C10	320,914

Non-split extensions G=N.Q with N=C₄.D₄ and Q=C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.D₄.C₁₀ = C₅×C₂³.D₄	φ: C₁₀/C₅ → C₂ ⊆ Out C₄.D₄	80	4	C4.D4.C10	320,157

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