Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₁₂

Direct product G=N×Q with N=Dic₃ and Q=C₁₂

		d	ρ	Label	ID
Dic₃×C₁₂		48		Dic3xC12	144,76

Semidirect products G=N:Q with N=Dic₃ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊C₁₂ = C₃×Dic₃⋊C₄	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₃	48		Dic3:C12	144,77

Non-split extensions G=N.Q with N=Dic₃ and Q=C₁₂

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.C₁₂ = C₃×C₈⋊S₃	φ: C₁₂/C₆ → C₂ ⊆ Out Dic₃	48	2	Dic3.C12	144,70
Dic₃.₂C₁₂ = S₃×C₂₄	φ: trivial image	48	2	Dic3.2C12	144,69

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=Dic3 and Q=C12