Extensions 1→N→G→Q→1 with N=C₂⁴ and Q=D₉

Direct product G=N×Q with N=C₂⁴ and Q=D₉

		d	ρ	Label	ID
C₂⁴×D₉		144		C2^4xD9	288,839

Semidirect products G=N:Q with N=C₂⁴ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴⋊₁D₉ = C₂³.D₁₈	φ: D₉/C₃ → S₃ ⊆ Aut C₂⁴	36	6	C2^4:1D9	288,342
C₂⁴⋊₂D₉ = C₂²×C₃.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂⁴	36		C2^4:2D9	288,835
C₂⁴⋊₃D₉ = C₂⁴⋊D₉	φ: D₉/C₃ → S₃ ⊆ Aut C₂⁴	36	6	C2^4:3D9	288,836
C₂⁴⋊₄D₉ = C₂⁴⋊₄D₉	φ: D₉/C₉ → C₂ ⊆ Aut C₂⁴	72		C2^4:4D9	288,163
C₂⁴⋊₅D₉ = C₂²×C₉⋊D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂⁴	144		C2^4:5D9	288,366

Non-split extensions G=N.Q with N=C₂⁴ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂⁴.D₉ = C₂×C₆.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂⁴	72		C2^4.D9	288,341
C₂⁴.₂D₉ = C₂×C₁₈.D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂⁴	144		C2^4.2D9	288,162
C₂⁴.₃D₉ = C₂³×Dic₉	central extension (φ=1)	288		C2^4.3D9	288,365

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