Extensions 1→N→G→Q→1 with N=He₃ and Q=Q₈

Direct product G=N×Q with N=He₃ and Q=Q₈

		d	ρ	Label	ID
Q₈×He₃		72	6	Q8xHe3	216,80

Semidirect products G=N:Q with N=He₃ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊Q₈ = SU₃(𝔽₂)	φ: Q₈/C₁ → Q₈ ⊆ Out He₃	27	3	He3:Q8	216,88
He₃⋊₂Q₈ = He₃⋊₂Q₈	φ: Q₈/C₂ → C₂² ⊆ Out He₃	72	6-	He3:2Q8	216,33
He₃⋊₃Q₈ = He₃⋊₃Q₈	φ: Q₈/C₄ → C₂ ⊆ Out He₃	72	6-	He3:3Q8	216,49
He₃⋊₄Q₈ = He₃⋊₄Q₈	φ: Q₈/C₄ → C₂ ⊆ Out He₃	72	6	He3:4Q8	216,66

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