Extensions 1→N→G→Q→1 with N=D₄ and Q=C₃⋊Dic₃

Direct product G=N×Q with N=D₄ and Q=C₃⋊Dic₃

		d	ρ	Label	ID
D₄×C₃⋊Dic₃		144		D4xC3:Dic3	288,791

Semidirect products G=N:Q with N=D₄ and Q=C₃⋊Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄⋊₁(C₃⋊Dic₃) = C₆².₁₁₆D₄	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Out D₄	144		D4:1(C3:Dic3)	288,307
D₄⋊₂(C₃⋊Dic₃) = C₆².₃₉D₄	φ: C₃⋊Dic₃/C₃×C₆ → C₂ ⊆ Out D₄	72		D4:2(C3:Dic3)	288,312

Non-split extensions G=N.Q with N=D₄ and Q=C₃⋊Dic₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₄.(C₃⋊Dic₃) = D₄.(C₃⋊Dic₃)	φ: trivial image	144		D4.(C3:Dic3)	288,805

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=D4 and Q=C3⋊Dic3