Extensions 1→N→G→Q→1 with N=C₂² and Q=Dic₉

Direct product G=N×Q with N=C₂² and Q=Dic₉

		d	ρ	Label	ID
C₂²×Dic₉		144		C2^2xDic9	144,45

Semidirect products G=N:Q with N=C₂² and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊Dic₉ = C₆.S₄	φ: Dic₉/C₆ → S₃ ⊆ Aut C₂²	36	6-	C2^2:Dic9	144,33
C₂²⋊₂Dic₉ = C₁₈.D₄	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂²	72		C2^2:2Dic9	144,19

Non-split extensions G=N.Q with N=C₂² and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².Dic₉ = C₄.Dic₉	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂²	72	2	C2^2.Dic9	144,10
C₂².₂Dic₉ = C₂×C₉⋊C₈	central extension (φ=1)	144		C2^2.2Dic9	144,9

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=Dic9