Extensions 1→N→G→Q→1 with N=Dic₅ and Q=D₁₀

Direct product G=N×Q with N=Dic₅ and Q=D₁₀

		d	ρ	Label	ID
C₂×D₅×Dic₅		80		C2xD5xDic5	400,172

Semidirect products G=N:Q with N=Dic₅ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅⋊₁D₁₀ = D₅×C₅⋊D₄	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₅	40	4	Dic5:1D10	400,179
Dic₅⋊₂D₁₀ = D₁₀⋊D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₅	20	4+	Dic5:2D10	400,180
Dic₅⋊₃D₁₀ = D₅×D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₅	40	4+	Dic5:3D10	400,170
Dic₅⋊₄D₁₀ = C₂×C₅⋊D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₅	40		Dic5:4D10	400,177
Dic₅⋊₅D₁₀ = C₄×D₅²	φ: trivial image	40	4	Dic5:5D10	400,169
Dic₅⋊₆D₁₀ = C₂×Dic₅⋊₂D₅	φ: trivial image	40		Dic5:6D10	400,175

Non-split extensions G=N.Q with N=Dic₅ and Q=D₁₀

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₅.₁D₁₀ = D₂₀⋊D₅	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₅	40	4	Dic5.1D10	400,165
Dic₅.₂D₁₀ = Dic₁₀⋊D₅	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₅	40	4	Dic5.2D10	400,166
Dic₅.₃D₁₀ = Dic₅.D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₅	40	4	Dic5.3D10	400,173
Dic₅.₄D₁₀ = D₁₀.₄D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₅	40	4-	Dic5.4D10	400,174
Dic₅.₅D₁₀ = D₅×C₅⋊C₈	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₅	80	8-	Dic5.5D10	400,120
Dic₅.₆D₁₀ = Dic₅.₄F₅	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₅	40	8+	Dic5.6D10	400,121
Dic₅.₇D₁₀ = D₁₀.F₅	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₅	80	8-	Dic5.7D10	400,122
Dic₅.₈D₁₀ = Dic₅.F₅	φ: D₁₀/D₅ → C₂ ⊆ Out Dic₅	40	8+	Dic5.8D10	400,123
Dic₅.₉D₁₀ = D₅×Dic₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₅	80	4-	Dic5.9D10	400,163
Dic₅.₁₀D₁₀ = D₁₀.₉D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₅	40	4	Dic5.10D10	400,167
Dic₅.₁₁D₁₀ = C₂×C₅²⋊₂Q₈	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₅	80		Dic5.11D10	400,178
Dic₅.₁₂D₁₀ = C₂₀.₁₄F₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₅	80	4	Dic5.12D10	400,142
Dic₅.₁₃D₁₀ = C₂₀.₁₂F₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₅	80	4	Dic5.13D10	400,143
Dic₅.₁₄D₁₀ = C₂×C₅²⋊₃C₈	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₅	80		Dic5.14D10	400,146
Dic₅.₁₅D₁₀ = C₁₀².C₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out Dic₅	40	4	Dic5.15D10	400,147
Dic₅.₁₆D₁₀ = D₂₀⋊₅D₅	φ: trivial image	80	4-	Dic5.16D10	400,164
Dic₅.₁₇D₁₀ = Dic₁₀⋊₅D₅	φ: trivial image	40	4+	Dic5.17D10	400,168

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