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

Direct product G=N×Q with N=He₃⋊C₃ and Q=C₄

		d	ρ	Label	ID
C₄×He₃⋊C₃		108	3	C4xHe3:C3	324,33

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

extension	φ:Q→Out N	d	ρ	Label	ID
He₃⋊C₃⋊₁C₄ = He₃.₂C₁₂	φ: C₄/C₂ → C₂ ⊆ Out He₃⋊C₃	108	3	He3:C3:1C4	324,17
He₃⋊C₃⋊₂C₄ = He₃.₂Dic₃	φ: C₄/C₂ → C₂ ⊆ Out He₃⋊C₃	108	6-	He3:C3:2C4	324,18
He₃⋊C₃⋊₃C₄ = He₃⋊Dic₃	φ: C₄/C₂ → C₂ ⊆ Out He₃⋊C₃	108	6-	He3:C3:3C4	324,24

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁