Extensions 1→N→G→Q→1 with N=He₃ and Q=Q₁₆

Direct product G=N×Q with N=He₃ and Q=Q₁₆

		d	ρ	Label	ID
Q₁₆×He₃		144	6	Q16xHe3	432,222

Semidirect products G=N:Q with N=He₃ and Q=Q₁₆

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊Q₁₆ = He₃⋊Q₁₆	φ: Q₁₆/C₂ → D₄ ⊆ Out He₃	144	6-	He3:Q16	432,236
He₃⋊₂Q₁₆ = He₃⋊₂Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Out He₃	144	6-	He3:2Q16	432,80
He₃⋊₃Q₁₆ = He₃⋊₃Q₁₆	φ: Q₁₆/C₄ → C₂² ⊆ Out He₃	144	12-	He3:3Q16	432,86
He₃⋊₄Q₁₆ = He₃⋊₄Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Out He₃	144	6-	He3:4Q16	432,114
He₃⋊₅Q₁₆ = He₃⋊₅Q₁₆	φ: Q₁₆/C₈ → C₂ ⊆ Out He₃	144	6	He3:5Q16	432,177
He₃⋊₆Q₁₆ = He₃⋊₆Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out He₃	144	12-	He3:6Q16	432,160
He₃⋊₇Q₁₆ = He₃⋊₇Q₁₆	φ: Q₁₆/Q₈ → C₂ ⊆ Out He₃	144	6	He3:7Q16	432,197

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