Extensions 1→N→G→Q→1 with N=C₃ and Q=Dic₂₇

Direct product G=N×Q with N=C₃ and Q=Dic₂₇

		d	ρ	Label	ID
C₃×Dic₂₇		108	2	C3xDic27	324,10

Semidirect products G=N:Q with N=C₃ and Q=Dic₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊Dic₂₇ = C₂₇⋊Dic₃	φ: Dic₂₇/C₅₄ → C₂ ⊆ Aut C₃	324		C3:Dic27	324,21

Non-split extensions G=N.Q with N=C₃ and Q=Dic₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.Dic₂₇ = Dic₈₁	φ: Dic₂₇/C₅₄ → C₂ ⊆ Aut C₃	324	2-	C3.Dic27	324,1

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=Dic27