Extensions 1→N→G→Q→1 with N=C₂³ and Q=Dic₉

Direct product G=N×Q with N=C₂³ and Q=Dic₉

		d	ρ	Label	ID
C₂³×Dic₉		288		C2^3xDic9	288,365

Semidirect products G=N:Q with N=C₂³ and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊Dic₉ = C₂×C₆.S₄	φ: Dic₉/C₆ → S₃ ⊆ Aut C₂³	72		C2^3:Dic9	288,341
C₂³⋊₂Dic₉ = C₂³⋊₂Dic₉	φ: Dic₉/C₉ → C₄ ⊆ Aut C₂³	72	4	C2^3:2Dic9	288,41
C₂³⋊₃Dic₉ = C₂×C₁₈.D₄	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂³	144		C2^3:3Dic9	288,162

Non-split extensions G=N.Q with N=C₂³ and Q=Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.Dic₉ = C₁₂.S₄	φ: Dic₉/C₆ → S₃ ⊆ Aut C₂³	72	6	C2^3.Dic9	288,68
C₂³.₂Dic₉ = C₃₆.D₄	φ: Dic₉/C₉ → C₄ ⊆ Aut C₂³	72	4	C2^3.2Dic9	288,39
C₂³.₃Dic₉ = C₃₆.₅₅D₄	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂³	144		C2^3.3Dic9	288,37
C₂³.₄Dic₉ = C₂×C₄.Dic₉	φ: Dic₉/C₁₈ → C₂ ⊆ Aut C₂³	144		C2^3.4Dic9	288,131
C₂³.₅Dic₉ = C₂²×C₉⋊C₈	central extension (φ=1)	288		C2^3.5Dic9	288,130

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