Extensions 1→N→G→Q→1 with N=C₂xHe₅ and Q=C₂

Direct product G=NxQ with N=C₂xHe₅ and Q=C₂

		d	ρ	Label	ID
C₂²xHe₅		100		C2^2xHe5	500,35

Semidirect products G=N:Q with N=C₂xHe₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₅):₁C₂ = C₂xC₅²:C₁₀	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₅	50	10+	(C2xHe5):1C2	500,30
(C₂xHe₅):₂C₂ = C₂xHe₅:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₅	50	5	(C2xHe5):2C2	500,33

Non-split extensions G=N.Q with N=C₂xHe₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₅).₁C₂ = He₅:₅C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₅	100	10-	(C2xHe5).1C2	500,8
(C₂xHe₅).₂C₂ = He₅:₆C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₅	100	5	(C2xHe5).2C2	500,11
(C₂xHe₅).₃C₂ = C₄xHe₅	φ: trivial image	100	5	(C2xHe5).3C2	500,13

Extensions 1→N→G→Q→1 with N=C2xHe5 and Q=C2