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

Direct product G=N×Q with N=He₃⋊C₂ and Q=C₂²

		d	ρ	Label	ID
C₂²×He₃⋊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 = C₂×C₃²⋊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 = C₂×He₃⋊C₄	φ: C₂²/C₂ → C₂ ⊆ Out He₃⋊C₂	36	3	He3:C2.3C2^2	216,100

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