Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃×D₉

Direct product G=N×Q with N=C₂³ and Q=C₃×D₉

		d	ρ	Label	ID
D₉×C₂²×C₆		144		D9xC2^2xC6	432,556

Semidirect products G=N:Q with N=C₂³ and Q=C₃×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³⋊(C₃×D₉) = C₆×C₃.S₄	φ: C₃×D₉/C₃² → S₃ ⊆ Aut C₂³	36	6	C2^3:(C3xD9)	432,534
C₂³⋊₂(C₃×D₉) = C₂×A₄×D₉	φ: C₃×D₉/D₉ → C₃ ⊆ Aut C₂³	54	6+	C2^3:2(C3xD9)	432,540
C₂³⋊₃(C₃×D₉) = C₆×C₉⋊D₄	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₂³	72		C2^3:3(C3xD9)	432,374

Non-split extensions G=N.Q with N=C₂³ and Q=C₃×D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.(C₃×D₉) = C₃×C₆.S₄	φ: C₃×D₉/C₃² → S₃ ⊆ Aut C₂³	36	6	C2^3.(C3xD9)	432,250
C₂³.₂(C₃×D₉) = A₄×Dic₉	φ: C₃×D₉/D₉ → C₃ ⊆ Aut C₂³	108	6-	C2^3.2(C3xD9)	432,266
C₂³.₃(C₃×D₉) = C₃×C₁₈.D₄	φ: C₃×D₉/C₃×C₉ → C₂ ⊆ Aut C₂³	72		C2^3.3(C3xD9)	432,164
C₂³.₄(C₃×D₉) = C₂×C₆×Dic₉	central extension (φ=1)	144		C2^3.4(C3xD9)	432,372

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