Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₃

Direct product G=N×Q with N=C₄ and Q=Dic₃

		d	ρ	Label	ID
C₄×Dic₃		48		C4xDic3	48,11

Semidirect products G=N:Q with N=C₄ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊Dic₃ = C₄⋊Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄	48		C4:Dic3	48,13

Non-split extensions G=N.Q with N=C₄ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.Dic₃ = C₄.Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₄	24	2	C4.Dic3	48,10
C₄.₂Dic₃ = C₃⋊C₁₆	central extension (φ=1)	48	2	C4.2Dic3	48,1
C₄.₃Dic₃ = C₂×C₃⋊C₈	central extension (φ=1)	48		C4.3Dic3	48,9

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C4 and Q=Dic3