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

Direct product G=N×Q with N=He₃⋊C₄ and Q=C₂²

		d	ρ	Label	ID
C₂²×He₃⋊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 = C₂×He₃⋊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 = C₂×He₃⋊C₈	φ: C₂²/C₂ → C₂ ⊆ Out He₃⋊C₄	54	6+	He3:C4.2C2^2	432,529
He₃⋊C₄.₃C₂² = C₂×SU₃(𝔽₂)	φ: C₂²/C₂ → C₂ ⊆ Out He₃⋊C₄	54	3	He3:C4.3C2^2	432,531

⋊

ℤ

𝔽

○

≀

ℚ

◁

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