Extensions 1→N→G→Q→1 with N=C₉ and Q=D₂₄

Direct product G=N×Q with N=C₉ and Q=D₂₄

		d	ρ	Label	ID
C₉×D₂₄		144	2	C9xD24	432,112

Semidirect products G=N:Q with N=C₉ and Q=D₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁D₂₄ = C₇₂⋊₁S₃	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₉	216		C9:1D24	432,172
C₉⋊₂D₂₄ = C₉⋊D₂₄	φ: D₂₄/D₁₂ → C₂ ⊆ Aut C₉	72	4+	C9:2D24	432,69

Non-split extensions G=N.Q with N=C₉ and Q=D₂₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.D₂₄ = D₂₁₆	φ: D₂₄/C₂₄ → C₂ ⊆ Aut C₉	216	2+	C9.D24	432,8

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C9 and Q=D24