Extensions 1→N→G→Q→1 with N=C₁₈ and Q=Dic₃

Direct product G=NxQ with N=C₁₈ and Q=Dic₃

		d	ρ	Label	ID
Dic₃xC₁₈		72		Dic3xC18	216,56

Semidirect products G=N:Q with N=C₁₈ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈:Dic₃ = C₂xC₉:Dic₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₈	216		C18:Dic3	216,69

Non-split extensions G=N.Q with N=C₁₈ and Q=Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁Dic₃ = C₂₇:C₈	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₈	216	2	C18.1Dic3	216,1
C₁₈.₂Dic₃ = C₂xDic₂₇	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₈	216		C18.2Dic3	216,7
C₁₈.₃Dic₃ = C₃₆.S₃	φ: Dic₃/C₆ → C₂ ⊆ Aut C₁₈	216		C18.3Dic3	216,16
C₁₈.₄Dic₃ = C₉xC₃:C₈	central extension (φ=1)	72	2	C18.4Dic3	216,13

Extensions 1→N→G→Q→1 with N=C18 and Q=Dic3