Extensions 1→N→G→Q→1 with N=He₃:C₂ and Q=C₂²

Direct product G=NxQ with N=He₃:C₂ and Q=C₂²

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

Semidirect products G=N:Q with N=He₃:C₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:C₂:C₂² = C₂xC₃²:D₆	φ: C₂²/C₂ → C₂ ⊆ Out He₃:C₂	18	6+	He3:C2:C2^2	216,102

Non-split extensions G=N.Q with N=He₃:C₂ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:C₂.₁C₂² = SU₃(F₂)	φ: C₂²/C₁ → C₂² ⊆ Out He₃:C₂	27	3	He3:C2.1C2^2	216,88
He₃:C₂.₂C₂² = He₃:D₄	φ: C₂²/C₁ → C₂² ⊆ Out He₃:C₂	18	6+	He3:C2.2C2^2	216,87
He₃:C₂.₃C₂² = C₂xHe₃:C₄	φ: C₂²/C₂ → C₂ ⊆ Out He₃:C₂	36	3	He3:C2.3C2^2	216,100

Extensions 1→N→G→Q→1 with N=He3:C2 and Q=C22