Extensions 1→N→G→Q→1 with N=C₂²⋊C₄ and Q=D₉

Direct product G=N×Q with N=C₂²⋊C₄ and Q=D₉

		d	ρ	Label	ID
C₂²⋊C₄×D₉		72		C2^2:C4xD9	288,90

Semidirect products G=N:Q with N=C₂²⋊C₄ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄⋊₁D₉ = C₂².D₃₆	φ: D₉/C₉ → C₂ ⊆ Out C₂²⋊C₄	72	4	C2^2:C4:1D9	288,13
C₂²⋊C₄⋊₂D₉ = C₂²⋊₃D₃₆	φ: D₉/C₉ → C₂ ⊆ Out C₂²⋊C₄	72		C2^2:C4:2D9	288,92
C₂²⋊C₄⋊₃D₉ = C₂³.₉D₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4:3D9	288,93
C₂²⋊C₄⋊₄D₉ = D₁₈⋊D₄	φ: D₉/C₉ → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4:4D9	288,94
C₂²⋊C₄⋊₅D₉ = Dic₉.D₄	φ: D₉/C₉ → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4:5D9	288,95
C₂²⋊C₄⋊₆D₉ = C₂².₄D₃₆	φ: D₉/C₉ → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4:6D9	288,96
C₂²⋊C₄⋊₇D₉ = Dic₉⋊₄D₄	φ: trivial image	144		C2^2:C4:7D9	288,91

Non-split extensions G=N.Q with N=C₂²⋊C₄ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
C₂²⋊C₄.₁D₉ = C₂²⋊₂Dic₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4.1D9	288,88
C₂²⋊C₄.₂D₉ = C₂³.₈D₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₂²⋊C₄	144		C2^2:C4.2D9	288,89
C₂²⋊C₄.₃D₉ = C₂³.₁₆D₁₈	φ: trivial image	144		C2^2:C4.3D9	288,87

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁