Extensions 1→N→G→Q→1 with N=C₂³ and Q=D₉

Direct product G=N×Q with N=C₂³ and Q=D₉

		d	ρ	Label	ID
C₂³×D₉		72		C2^3xD9	144,112

Semidirect products G=N:Q with N=C₂³ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊D₉ = C₂×C₃.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂³	18	6+	C2^3:D9	144,109
C₂³⋊₂D₉ = C₂×C₉⋊D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂³	72		C2^3:2D9	144,46

Non-split extensions G=N.Q with N=C₂³ and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.D₉ = C₆.S₄	φ: D₉/C₃ → S₃ ⊆ Aut C₂³	36	6-	C2^3.D9	144,33
C₂³.₂D₉ = C₁₈.D₄	φ: D₉/C₉ → C₂ ⊆ Aut C₂³	72		C2^3.2D9	144,19
C₂³.₃D₉ = C₂²×Dic₉	central extension (φ=1)	144		C2^3.3D9	144,45

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Extensions 1→N→G→Q→1 with N=C23 and Q=D9