Extensions 1→N→G→Q→1 with N=He₃⋊C₂ and Q=C₉

Direct product G=N×Q with N=He₃⋊C₂ and Q=C₉

		d	ρ	Label	ID
C₉×He₃⋊C₂		81		C9xHe3:C2	486,143

Semidirect products G=N:Q with N=He₃⋊C₂ and Q=C₉

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₂⋊C₉ = He₃⋊C₁₈	φ: C₉/C₃ → C₃ ⊆ Out He₃⋊C₂	81		He3:C2:C9	486,24

Non-split extensions G=N.Q with N=He₃⋊C₂ and Q=C₉

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₂.₁C₉ = He₃.C₁₈	φ: C₉/C₃ → C₃ ⊆ Out He₃⋊C₂	81	3	He3:C2.1C9	486,26
He₃⋊C₂.₂C₉ = He₃.₂C₁₈	φ: C₉/C₃ → C₃ ⊆ Out He₃⋊C₂	81	3	He3:C2.2C9	486,28
He₃⋊C₂.₃C₉ = He₃.₅C₁₈	φ: trivial image	81	3	He3:C2.3C9	486,164

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Extensions 1→N→G→Q→1 with N=He3⋊C2 and Q=C9