Extensions 1→N→G→Q→1 with N=He₃:C₄ and Q=C₄

Direct product G=NxQ with N=He₃:C₄ and Q=C₄

		d	ρ	Label	ID
C₄xHe₃:C₄		72	3	C4xHe3:C4	432,275

Semidirect products G=N:Q with N=He₃:C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:C₄:₁C₄ = C₆.S₃wrC₂	φ: C₄/C₂ → C₂ ⊆ Out He₃:C₄	72	6-	He3:C4:1C4	432,237
He₃:C₄:₂C₄ = C₂.SU₃(F₂)	φ: C₄/C₂ → C₂ ⊆ Out He₃:C₄	72	3	He3:C4:2C4	432,239

Non-split extensions G=N.Q with N=He₃:C₄ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:C₄.C₄ = C₂xHe₃:C₈	φ: C₄/C₂ → C₂ ⊆ Out He₃:C₄	54	6+	He3:C4.C4	432,529

Extensions 1→N→G→Q→1 with N=He3:C4 and Q=C4