Extensions 1→N→G→Q→1 with N=C₉ and Q=D₄⋊C₄

Direct product G=N×Q with N=C₉ and Q=D₄⋊C₄

		d	ρ	Label	ID
C₉×D₄⋊C₄		144		C9xD4:C4	288,52

Semidirect products G=N:Q with N=C₉ and Q=D₄⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(D₄⋊C₄) = C₁₈.D₈	φ: D₄⋊C₄/C₄⋊C₄ → C₂ ⊆ Aut C₉	144		C9:1(D4:C4)	288,17
C₉⋊₂(D₄⋊C₄) = C₂.D₇₂	φ: D₄⋊C₄/C₂×C₈ → C₂ ⊆ Aut C₉	144		C9:2(D4:C4)	288,28
C₉⋊₃(D₄⋊C₄) = D₄⋊Dic₉	φ: D₄⋊C₄/C₂×D₄ → C₂ ⊆ Aut C₉	144		C9:3(D4:C4)	288,40

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁