Extensions 1→N→G→Q→1 with N=D₄ and Q=C₅⋊D₅

Direct product G=N×Q with N=D₄ and Q=C₅⋊D₅

		d	ρ	Label	ID
D₄×C₅⋊D₅		100		D4xC5:D5	400,195

Semidirect products G=N:Q with N=D₄ and Q=C₅⋊D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊(C₅⋊D₅) = C₅²⋊₇D₈	φ: C₅⋊D₅/C₅² → C₂ ⊆ Out D₄	200		D4:(C5:D5)	400,103
D₄⋊₂(C₅⋊D₅) = C₂₀.D₁₀	φ: trivial image	200		D4:2(C5:D5)	400,196

Non-split extensions G=N.Q with N=D₄ and Q=C₅⋊D₅

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₅⋊D₅) = C₅²⋊₈SD₁₆	φ: C₅⋊D₅/C₅² → C₂ ⊆ Out D₄	200		D4.(C5:D5)	400,104

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Extensions 1→N→G→Q→1 with N=D4 and Q=C5⋊D5