Extensions 1→N→G→Q→1 with N=C₂xHe₃:C₂ and Q=C₂

Direct product G=NxQ with N=C₂xHe₃:C₂ and Q=C₂

		d	ρ	Label	ID
C₂²xHe₃:C₂		36		C2^2xHe3:C2	216,113

Semidirect products G=N:Q with N=C₂xHe₃:C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₃:C₂):₁C₂ = He₃:₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₃:C₂	36	6	(C2xHe3:C2):1C2	216,37
(C₂xHe₃:C₂):₂C₂ = He₃:₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₃:C₂	36	6	(C2xHe3:C2):2C2	216,68
(C₂xHe₃:C₂):₃C₂ = He₃:₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₃:C₂	36	6	(C2xHe3:C2):3C2	216,72
(C₂xHe₃:C₂):₄C₂ = C₂xC₃²:D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₃:C₂	18	6+	(C2xHe3:C2):4C2	216,102

Non-split extensions G=N.Q with N=C₂xHe₃:C₂ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂xHe₃:C₂).₁C₂ = He₃:(C₂xC₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₃:C₂	36	6-	(C2xHe3:C2).1C2	216,36
(C₂xHe₃:C₂).₂C₂ = C₂xHe₃:C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂xHe₃:C₂	36	3	(C2xHe3:C2).2C2	216,100
(C₂xHe₃:C₂).₃C₂ = C₄xHe₃:C₂	φ: trivial image	36	3	(C2xHe3:C2).3C2	216,67

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