Extensions 1→N→G→Q→1 with N=He₃:₃C₄ and Q=C₃

Direct product G=NxQ with N=He₃:₃C₄ and Q=C₃

		d	ρ	Label	ID
C₃xHe₃:₃C₄		108		C3xHe3:3C4	324,99

Semidirect products G=N:Q with N=He₃:₃C₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:₃C₄:₁C₃ = He₃:C₁₂	φ: C₃/C₁ → C₃ ⊆ Out He₃:₃C₄	36	3	He3:3C4:1C3	324,13
He₃:₃C₄:₂C₃ = He₃.₂C₁₂	φ: C₃/C₁ → C₃ ⊆ Out He₃:₃C₄	108	3	He3:3C4:2C3	324,17

Non-split extensions G=N.Q with N=He₃:₃C₄ and Q=C₃

extension	φ:Q→Out N	d	ρ	Label	ID
He₃:₃C₄.C₃ = He₃.C₁₂	φ: C₃/C₁ → C₃ ⊆ Out He₃:₃C₄	108	3	He3:3C4.C3	324,15
He₃:₃C₄.₂C₃ = He₃.₅C₁₂	φ: trivial image	108	3	He3:3C4.2C3	324,102

Extensions 1→N→G→Q→1 with N=He3:3C4 and Q=C3