Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xC₉:C₆

Direct product G=NxQ with N=C₂² and Q=C₂xC₉:C₆

		d	ρ	Label	ID
C₂³xC₉:C₆		72		C2^3xC9:C6	432,559

Semidirect products G=N:Q with N=C₂² and Q=C₂xC₉:C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₂xC₉:C₆) = C₂xC₃².S₄	φ: C₂xC₉:C₆/C₃xC₆ → S₃ ⊆ Aut C₂²	18	6+	C2^2:(C2xC9:C6)	432,533
C₂²:₂(C₂xC₉:C₆) = C₂xD₉:A₄	φ: C₂xC₉:C₆/D₁₈ → C₃ ⊆ Aut C₂²	54	6+	C2^2:2(C2xC9:C6)	432,539
C₂²:₃(C₂xC₉:C₆) = D₄xC₉:C₆	φ: C₂xC₉:C₆/C₉:C₆ → C₂ ⊆ Aut C₂²	36	12+	C2^2:3(C2xC9:C6)	432,362
C₂²:₄(C₂xC₉:C₆) = C₂xDic₉:C₆	φ: C₂xC₉:C₆/C₂x3_-¹⁺² → C₂ ⊆ Aut C₂²	72		C2^2:4(C2xC9:C6)	432,379

Non-split extensions G=N.Q with N=C₂² and Q=C₂xC₉:C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂xC₉:C₆) = Dic₁₈:₂C₆	φ: C₂xC₉:C₆/C₉:C₆ → C₂ ⊆ Aut C₂²	72	12-	C2^2.1(C2xC9:C6)	432,363
C₂².₂(C₂xC₉:C₆) = D₃₆:₆C₆	φ: C₂xC₉:C₆/C₂x3_-¹⁺² → C₂ ⊆ Aut C₂²	72	6	C2^2.2(C2xC9:C6)	432,355
C₂².₃(C₂xC₉:C₆) = C₄xC₉:C₁₂	central extension (φ=1)	144		C2^2.3(C2xC9:C6)	432,144
C₂².₄(C₂xC₉:C₆) = Dic₉:C₁₂	central extension (φ=1)	144		C2^2.4(C2xC9:C6)	432,145
C₂².₅(C₂xC₉:C₆) = C₃₆:C₁₂	central extension (φ=1)	144		C2^2.5(C2xC9:C6)	432,146
C₂².₆(C₂xC₉:C₆) = D₁₈:C₁₂	central extension (φ=1)	72		C2^2.6(C2xC9:C6)	432,147
C₂².₇(C₂xC₉:C₆) = C₆².₂₇D₆	central extension (φ=1)	72		C2^2.7(C2xC9:C6)	432,167
C₂².₈(C₂xC₉:C₆) = C₂xC₃₆.C₆	central extension (φ=1)	144		C2^2.8(C2xC9:C6)	432,352
C₂².₉(C₂xC₉:C₆) = C₂xC₄xC₉:C₆	central extension (φ=1)	72		C2^2.9(C2xC9:C6)	432,353
C₂².₁₀(C₂xC₉:C₆) = C₂xD₃₆:C₃	central extension (φ=1)	72		C2^2.10(C2xC9:C6)	432,354
C₂².₁₁(C₂xC₉:C₆) = C₂²xC₉:C₁₂	central extension (φ=1)	144		C2^2.11(C2xC9:C6)	432,378

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