Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₂xC₁₀

Direct product G=NxQ with N=Dic₅ and Q=C₂xC₁₀

		d	ρ	Label	ID
Dic₅xC₂xC₁₀		80		Dic5xC2xC10	400,189

Semidirect products G=N:Q with N=Dic₅ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅:₁(C₂xC₁₀) = C₅xD₄xD₅	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₅	40	4	Dic5:1(C2xC10)	400,185
Dic₅:₂(C₂xC₁₀) = C₁₀xC₅:D₄	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₅	40		Dic5:2(C2xC10)	400,190
Dic₅:₃(C₂xC₁₀) = D₅xC₂xC₂₀	φ: trivial image	80		Dic5:3(C2xC10)	400,182

Non-split extensions G=N.Q with N=Dic₅ and Q=C₂xC₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁(C₂xC₁₀) = C₁₀xDic₁₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₅	80		Dic5.1(C2xC10)	400,181
Dic₅.₂(C₂xC₁₀) = C₅xC₄oD₂₀	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₅	40	2	Dic5.2(C2xC10)	400,184
Dic₅.₃(C₂xC₁₀) = C₅xD₄:₂D₅	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₅	40	4	Dic5.3(C2xC10)	400,186
Dic₅.₄(C₂xC₁₀) = C₅xQ₈xD₅	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₅	80	4	Dic5.4(C2xC10)	400,187
Dic₅.₅(C₂xC₁₀) = C₅xD₅:C₈	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₅	80	4	Dic5.5(C2xC10)	400,135
Dic₅.₆(C₂xC₁₀) = C₅xC₄.F₅	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₅	80	4	Dic5.6(C2xC10)	400,136
Dic₅.₇(C₂xC₁₀) = C₁₀xC₅:C₈	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₅	80		Dic5.7(C2xC10)	400,139
Dic₅.₈(C₂xC₁₀) = C₅xC₂².F₅	φ: C₂xC₁₀/C₁₀ → C₂ ⊆ Out Dic₅	40	4	Dic5.8(C2xC10)	400,140
Dic₅.₉(C₂xC₁₀) = C₅xQ₈:₂D₅	φ: trivial image	80	4	Dic5.9(C2xC10)	400,188

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