Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₂×C₁₀

Direct product G=N×Q with N=D₁₀ and Q=C₂×C₁₀

		d	ρ	Label	ID
D₅×C₂²×C₁₀		80		D5xC2^2xC10	400,219

Semidirect products G=N:Q with N=D₁₀ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁(C₂×C₁₀) = C₁₀×D₂₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₀	80		D10:1(C2xC10)	400,183
D₁₀⋊₂(C₂×C₁₀) = C₅×D₄×D₅	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₀	40	4	D10:2(C2xC10)	400,185
D₁₀⋊₃(C₂×C₁₀) = C₁₀×C₅⋊D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₀	40		D10:3(C2xC10)	400,190

Non-split extensions G=N.Q with N=D₁₀ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁(C₂×C₁₀) = C₅×C₄○D₂₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₀	40	2	D10.1(C2xC10)	400,184
D₁₀.₂(C₂×C₁₀) = C₅×D₄⋊₂D₅	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₀	40	4	D10.2(C2xC10)	400,186
D₁₀.₃(C₂×C₁₀) = C₅×Q₈⋊₂D₅	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₀	80	4	D10.3(C2xC10)	400,188
D₁₀.₄(C₂×C₁₀) = C₂₀×F₅	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₀	80	4	D10.4(C2xC10)	400,137
D₁₀.₅(C₂×C₁₀) = C₅×C₄⋊F₅	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₀	80	4	D10.5(C2xC10)	400,138
D₁₀.₆(C₂×C₁₀) = C₅×C₂²⋊F₅	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₀	40	4	D10.6(C2xC10)	400,141
D₁₀.₇(C₂×C₁₀) = F₅×C₂×C₁₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out D₁₀	80		D10.7(C2xC10)	400,214
D₁₀.₈(C₂×C₁₀) = D₅×C₂×C₂₀	φ: trivial image	80		D10.8(C2xC10)	400,182
D₁₀.₉(C₂×C₁₀) = C₅×Q₈×D₅	φ: trivial image	80	4	D10.9(C2xC10)	400,187

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