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

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

		d	ρ	Label	ID
C₂³xD₅		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 = C₂xD₂₀	φ: C₂²/C₂ → C₂ ⊆ Out D₁₀	40		D10:1C2^2	80,37
D₁₀:₂C₂² = D₄xD₅	φ: C₂²/C₂ → C₂ ⊆ Out D₁₀	20	4+	D10:2C2^2	80,39
D₁₀:₃C₂² = C₂xC₅: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 = C₄oD₂₀	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 = C₄xF₅	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 = C₂²xF₅	φ: C₂²/C₂ → C₂ ⊆ Out D₁₀	20		D10.7C2^2	80,50
D₁₀.₈C₂² = C₂xC₄xD₅	φ: trivial image	40		D10.8C2^2	80,36
D₁₀.₉C₂² = Q₈xD₅	φ: trivial image	40	4-	D10.9C2^2	80,41

׿

x

:

Z

F

o

wr

Q

<