Extensions 1→N→G→Q→1 with N=Dic₅ and Q=C₂×C₁₀

Direct product G=N×Q with N=Dic₅ and Q=C₂×C₁₀

		d	ρ	Label	ID
Dic₅×C₂×C₁₀		80		Dic5xC2xC10	400,189

Semidirect products G=N:Q with N=Dic₅ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₁(C₂×C₁₀) = C₅×D₄×D₅	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₅	40	4	Dic5:1(C2xC10)	400,185
Dic₅⋊₂(C₂×C₁₀) = C₁₀×C₅⋊D₄	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₅	40		Dic5:2(C2xC10)	400,190
Dic₅⋊₃(C₂×C₁₀) = D₅×C₂×C₂₀	φ: trivial image	80		Dic5:3(C2xC10)	400,182

Non-split extensions G=N.Q with N=Dic₅ and Q=C₂×C₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁(C₂×C₁₀) = C₁₀×Dic₁₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₅	80		Dic5.1(C2xC10)	400,181
Dic₅.₂(C₂×C₁₀) = C₅×C₄○D₂₀	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₅	40	2	Dic5.2(C2xC10)	400,184
Dic₅.₃(C₂×C₁₀) = C₅×D₄⋊₂D₅	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₅	40	4	Dic5.3(C2xC10)	400,186
Dic₅.₄(C₂×C₁₀) = C₅×Q₈×D₅	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₅	80	4	Dic5.4(C2xC10)	400,187
Dic₅.₅(C₂×C₁₀) = C₅×D₅⋊C₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₅	80	4	Dic5.5(C2xC10)	400,135
Dic₅.₆(C₂×C₁₀) = C₅×C₄.F₅	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₅	80	4	Dic5.6(C2xC10)	400,136
Dic₅.₇(C₂×C₁₀) = C₁₀×C₅⋊C₈	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₅	80		Dic5.7(C2xC10)	400,139
Dic₅.₈(C₂×C₁₀) = C₅×C₂².F₅	φ: C₂×C₁₀/C₁₀ → C₂ ⊆ Out Dic₅	40	4	Dic5.8(C2xC10)	400,140
Dic₅.₉(C₂×C₁₀) = C₅×Q₈⋊₂D₅	φ: trivial image	80	4	Dic5.9(C2xC10)	400,188

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