Extensions 1→N→G→Q→1 with N=He₃:C₄ and Q=C₂²

Direct product G=NxQ with N=He₃:C₄ and Q=C₂²

		d	ρ	Label	ID
C₂²xHe₃:C₄		72		C2^2xHe3:C4	432,543

Semidirect products G=N:Q with N=He₃:C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:C₄:C₂² = C₂xHe₃:D₄	φ: C₂²/C₂ → C₂ ⊆ Out He₃:C₄	36	6+	He3:C4:C2^2	432,530

Non-split extensions G=N.Q with N=He₃:C₄ and Q=C₂²

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:C₄.C₂² = He₃:SD₁₆	φ: C₂²/C₁ → C₂² ⊆ Out He₃:C₄	27	6+	He3:C4.C2^2	432,520
He₃:C₄.₂C₂² = C₂xHe₃:C₈	φ: C₂²/C₂ → C₂ ⊆ Out He₃:C₄	54	6+	He3:C4.2C2^2	432,529
He₃:C₄.₃C₂² = C₂xSU₃(F₂)	φ: C₂²/C₂ → C₂ ⊆ Out He₃:C₄	54	3	He3:C4.3C2^2	432,531

Extensions 1→N→G→Q→1 with N=He3:C4 and Q=C22