Extensions 1→N→G→Q→1 with N=C₆ and Q=Dic₃

Direct product G=NxQ with N=C₆ and Q=Dic₃

		d	ρ	Label	ID
C₆xDic₃		24		C6xDic3	72,29

Semidirect products G=N:Q with N=C₆ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:Dic₃ = C₂xC₃:Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₆	72		C6:Dic3	72,34

Non-split extensions G=N.Q with N=C₆ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁Dic₃ = C₉:C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₆	72	2	C6.1Dic3	72,1
C₆.₂Dic₃ = C₂xDic₉	φ: Dic₃/C₆ → C₂ ⊆ Aut C₆	72		C6.2Dic3	72,7
C₆.₃Dic₃ = C₃²:₄C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₆	72		C6.3Dic3	72,13
C₆.₄Dic₃ = C₃xC₃:C₈	central extension (φ=1)	24	2	C6.4Dic3	72,12

Extensions 1→N→G→Q→1 with N=C6 and Q=Dic3