Extensions 1→N→G→Q→1 with N=C₉ and Q=C₈○D₄

Direct product G=N×Q with N=C₉ and Q=C₈○D₄

		d	ρ	Label	ID
C₉×C₈○D₄		144	2	C9xC8oD4	288,181

Semidirect products G=N:Q with N=C₉ and Q=C₈○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₈○D₄) = D₃₆.₂C₄	φ: C₈○D₄/C₂×C₈ → C₂ ⊆ Aut C₉	144	2	C9:1(C8oD4)	288,112
C₉⋊₂(C₈○D₄) = D₃₆.C₄	φ: C₈○D₄/M₄(2) → C₂ ⊆ Aut C₉	144	4	C9:2(C8oD4)	288,117
C₉⋊₃(C₈○D₄) = D₄.Dic₉	φ: C₈○D₄/C₄○D₄ → C₂ ⊆ Aut C₉	144	4	C9:3(C8oD4)	288,158

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁