Extensions 1→N→G→Q→1 with N=He₃⋊C₄ and Q=C₂

Direct product G=N×Q with N=He₃⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×He₃⋊C₄		36	3	C2xHe3:C4	216,100

Semidirect products G=N:Q with N=He₃⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₄⋊C₂ = He₃⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊C₄	18	6+	He3:C4:C2	216,87

Non-split extensions G=N.Q with N=He₃⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₄.₁C₂ = He₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊C₄	27	6+	He3:C4.1C2	216,86
He₃⋊C₄.₂C₂ = SU₃(𝔽₂)	φ: C₂/C₁ → C₂ ⊆ Out He₃⋊C₄	27	3	He3:C4.2C2	216,88

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Extensions 1→N→G→Q→1 with N=He3⋊C4 and Q=C2