Extensions 1→N→G→Q→1 with N=He₃⋊C₂ and Q=C₂³

Direct product G=N×Q with N=He₃⋊C₂ and Q=C₂³

		d	ρ	Label	ID
C₂³×He₃⋊C₂		72		C2^3xHe3:C2	432,561

Semidirect products G=N:Q with N=He₃⋊C₂ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₂⋊C₂³ = C₂²×C₃²⋊D₆	φ: C₂³/C₂² → C₂ ⊆ Out He₃⋊C₂	36		He3:C2:C2^3	432,545

Non-split extensions G=N.Q with N=He₃⋊C₂ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₂.₁C₂³ = C₂×SU₃(𝔽₂)	φ: C₂³/C₂ → C₂² ⊆ Out He₃⋊C₂	54	3	He3:C2.1C2^3	432,531
He₃⋊C₂.₂C₂³ = C₂×He₃⋊D₄	φ: C₂³/C₂ → C₂² ⊆ Out He₃⋊C₂	36	6+	He3:C2.2C2^3	432,530
He₃⋊C₂.₃C₂³ = C₂²×He₃⋊C₄	φ: C₂³/C₂² → C₂ ⊆ Out He₃⋊C₂	72		He3:C2.3C2^3	432,543

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Extensions 1→N→G→Q→1 with N=He3⋊C2 and Q=C23