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

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

		d	ρ	Label	ID
C₂²×D₅²		40		C2^2xD5^2	400,218

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁D₁₀ = D₅×D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₀	40	4+	D10:1D10	400,170
D₁₀⋊₂D₁₀ = C₂₀⋊D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₀	40	4	D10:2D10	400,171
D₁₀⋊₃D₁₀ = D₁₀⋊D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₀	20	4+	D10:3D10	400,180
D₁₀⋊₄D₁₀ = C₂×C₅²⋊₂D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₀	80		D10:4D10	400,176
D₁₀⋊₅D₁₀ = C₂×C₅⋊D₂₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₀	40		D10:5D10	400,177
D₁₀⋊₆D₁₀ = D₅×C₅⋊D₄	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₀	40	4	D10:6D10	400,179

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁D₁₀ = D₂₀⋊₅D₅	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₀	80	4-	D10.1D10	400,164
D₁₀.₂D₁₀ = D₂₀⋊D₅	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₀	40	4	D10.2D10	400,165
D₁₀.₃D₁₀ = Dic₅.D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₀	40	4	D10.3D10	400,173
D₁₀.₄D₁₀ = D₁₀.₄D₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₀	40	4-	D10.4D10	400,174
D₁₀.₅D₁₀ = Dic₅×F₅	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₀	80	8-	D10.5D10	400,117
D₁₀.₆D₁₀ = D₅.D₂₀	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₀	40	8+	D10.6D10	400,118
D₁₀.₇D₁₀ = D₅.Dic₁₀	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₀	80	8-	D10.7D10	400,119
D₁₀.₈D₁₀ = C₂×D₅×F₅	φ: D₁₀/D₅ → C₂ ⊆ Out D₁₀	40	8+	D10.8D10	400,209
D₁₀.₉D₁₀ = D₁₀.₉D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₀	40	4	D10.9D10	400,167
D₁₀.₁₀D₁₀ = Dic₁₀⋊₅D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₀	40	4+	D10.10D10	400,168
D₁₀.₁₁D₁₀ = C₄×D₅.D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₀	80	4	D10.11D10	400,144
D₁₀.₁₂D₁₀ = C₂₀⋊₅F₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₀	80	4	D10.12D10	400,145
D₁₀.₁₃D₁₀ = D₁₀.D₁₀	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₀	40	4	D10.13D10	400,148
D₁₀.₁₄D₁₀ = C₂²×D₅.D₅	φ: D₁₀/C₁₀ → C₂ ⊆ Out D₁₀	80		D10.14D10	400,215
D₁₀.₁₅D₁₀ = D₅×Dic₁₀	φ: trivial image	80	4-	D10.15D10	400,163
D₁₀.₁₆D₁₀ = C₄×D₅²	φ: trivial image	40	4	D10.16D10	400,169
D₁₀.₁₇D₁₀ = C₂×D₅×Dic₅	φ: trivial image	80		D10.17D10	400,172

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