Extensions 1→N→G→Q→1 with N=C₂₁ and Q=Dic₃

Direct product G=NxQ with N=C₂₁ and Q=Dic₃

		d	ρ	Label	ID
Dic₃xC₂₁		84	2	Dic3xC21	252,21

Semidirect products G=N:Q with N=C₂₁ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁:₁Dic₃ = C₃:Dic₂₁	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₁	252		C21:1Dic3	252,24
C₂₁:₂Dic₃ = C₃xDic₂₁	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₁	84	2	C21:2Dic3	252,22
C₂₁:₃Dic₃ = C₇xC₃:Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₁	252		C21:3Dic3	252,23

Non-split extensions G=N.Q with N=C₂₁ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁.₁Dic₃ = Dic₆₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₁	252	2-	C21.1Dic3	252,5
C₂₁.₂Dic₃ = C₇xDic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₂₁	252	2	C21.2Dic3	252,3

Extensions 1→N→G→Q→1 with N=C21 and Q=Dic3