Extensions 1→N→G→Q→1 with N=D₁₀ and Q=C₂²

Direct product G=N×Q with N=D₁₀ and Q=C₂²

		d	ρ	Label	ID
C₂³×D₅		40		C2^3xD5	80,51

Semidirect products G=N:Q with N=D₁₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀⋊₁C₂² = C₂×D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out D₁₀	40		D10:1C2^2	80,37
D₁₀⋊₂C₂² = D₄×D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₁₀	20	4+	D10:2C2^2	80,39
D₁₀⋊₃C₂² = C₂×C₅⋊D₄	φ: C₂²/C₂ → C₂ ⊆ Out D₁₀	40		D10:3C2^2	80,44

Non-split extensions G=N.Q with N=D₁₀ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₀.₁C₂² = C₄○D₂₀	φ: C₂²/C₂ → C₂ ⊆ Out D₁₀	40	2	D10.1C2^2	80,38
D₁₀.₂C₂² = D₄⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₁₀	40	4-	D10.2C2^2	80,40
D₁₀.₃C₂² = Q₈⋊₂D₅	φ: C₂²/C₂ → C₂ ⊆ Out D₁₀	40	4+	D10.3C2^2	80,42
D₁₀.₄C₂² = C₄×F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₁₀	20	4	D10.4C2^2	80,30
D₁₀.₅C₂² = C₄⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₁₀	20	4	D10.5C2^2	80,31
D₁₀.₆C₂² = C₂²⋊F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₁₀	20	4+	D10.6C2^2	80,34
D₁₀.₇C₂² = C₂²×F₅	φ: C₂²/C₂ → C₂ ⊆ Out D₁₀	20		D10.7C2^2	80,50
D₁₀.₈C₂² = C₂×C₄×D₅	φ: trivial image	40		D10.8C2^2	80,36
D₁₀.₉C₂² = Q₈×D₅	φ: trivial image	40	4-	D10.9C2^2	80,41

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