Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₉

Direct product G=NxQ with N=C₄ and Q=Dic₉

		d	ρ	Label	ID
C₄xDic₉		144		C4xDic9	144,11

Semidirect products G=N:Q with N=C₄ and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:Dic₉ = C₄:Dic₉	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₄	144		C4:Dic9	144,13

Non-split extensions G=N.Q with N=C₄ and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.Dic₉ = C₄.Dic₉	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₄	72	2	C4.Dic9	144,10
C₄.₂Dic₉ = C₉:C₁₆	central extension (φ=1)	144	2	C4.2Dic9	144,1
C₄.₃Dic₉ = C₂xC₉:C₈	central extension (φ=1)	144		C4.3Dic9	144,9

Extensions 1→N→G→Q→1 with N=C4 and Q=Dic9