Extensions 1→N→G→Q→1 with N=He₃⋊C₂ and Q=Q₈

Direct product G=N×Q with N=He₃⋊C₂ and Q=Q₈

		d	ρ	Label	ID
Q₈×He₃⋊C₂		72	6	Q8xHe3:C2	432,394

Semidirect products G=N:Q with N=He₃⋊C₂ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₂⋊Q₈ = C₂×SU₃(𝔽₂)	φ: Q₈/C₂ → C₂² ⊆ Out He₃⋊C₂	54	3	He3:C2:Q8	432,531
He₃⋊C₂⋊₂Q₈ = C₁₂.₈₅S₃²	φ: Q₈/C₄ → C₂ ⊆ Out He₃⋊C₂	72	6-	He3:C2:2Q8	432,298

Non-split extensions G=N.Q with N=He₃⋊C₂ and Q=Q₈

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₂.Q₈ = C₆.S₃≀C₂	φ: Q₈/C₂ → C₂² ⊆ Out He₃⋊C₂	72	6-	He3:C2.Q8	432,237
He₃⋊C₂.₂Q₈ = C₄⋊(He₃⋊C₄)	φ: Q₈/C₄ → C₂ ⊆ Out He₃⋊C₂	72	6	He3:C2.2Q8	432,276

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Extensions 1→N→G→Q→1 with N=He3⋊C2 and Q=Q8