Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₃xD₉

Direct product G=NxQ with N=C₂³ and Q=C₃xD₉

		d	ρ	Label	ID
D₉xC₂²xC₆		144		D9xC2^2xC6	432,556

Semidirect products G=N:Q with N=C₂³ and Q=C₃xD₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:(C₃xD₉) = C₆xC₃.S₄	φ: C₃xD₉/C₃² → S₃ ⊆ Aut C₂³	36	6	C2^3:(C3xD9)	432,534
C₂³:₂(C₃xD₉) = C₂xA₄xD₉	φ: C₃xD₉/D₉ → C₃ ⊆ Aut C₂³	54	6+	C2^3:2(C3xD9)	432,540
C₂³:₃(C₃xD₉) = C₆xC₉:D₄	φ: C₃xD₉/C₃xC₉ → C₂ ⊆ Aut C₂³	72		C2^3:3(C3xD9)	432,374

Non-split extensions G=N.Q with N=C₂³ and Q=C₃xD₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.(C₃xD₉) = C₃xC₆.S₄	φ: C₃xD₉/C₃² → S₃ ⊆ Aut C₂³	36	6	C2^3.(C3xD9)	432,250
C₂³.₂(C₃xD₉) = A₄xDic₉	φ: C₃xD₉/D₉ → C₃ ⊆ Aut C₂³	108	6-	C2^3.2(C3xD9)	432,266
C₂³.₃(C₃xD₉) = C₃xC₁₈.D₄	φ: C₃xD₉/C₃xC₉ → C₂ ⊆ Aut C₂³	72		C2^3.3(C3xD9)	432,164
C₂³.₄(C₃xD₉) = C₂xC₆xDic₉	central extension (φ=1)	144		C2^3.4(C3xD9)	432,372

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