Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃xC₂²:C₄

Direct product G=NxQ with N=C₉ and Q=C₃xC₂²:C₄

		d	ρ	Label	ID
C₂²:C₄xC₃xC₉		216		C2^2:C4xC3xC9	432,203

Semidirect products G=N:Q with N=C₉ and Q=C₃xC₂²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉:₁(C₃xC₂²:C₄) = D₁₈:C₁₂	φ: C₃xC₂²:C₄/C₂xC₄ → C₆ ⊆ Aut C₉	72		C9:1(C3xC2^2:C4)	432,147
C₉:₂(C₃xC₂²:C₄) = C₆².₂₇D₆	φ: C₃xC₂²:C₄/C₂³ → C₆ ⊆ Aut C₉	72		C9:2(C3xC2^2:C4)	432,167
C₉:₃(C₃xC₂²:C₄) = C₂²:C₄x3_-¹⁺²	φ: C₃xC₂²:C₄/C₂²:C₄ → C₃ ⊆ Aut C₉	72		C9:3(C3xC2^2:C4)	432,205
C₉:₄(C₃xC₂²:C₄) = C₃xD₁₈:C₄	φ: C₃xC₂²:C₄/C₂xC₁₂ → C₂ ⊆ Aut C₉	144		C9:4(C3xC2^2:C4)	432,134
C₉:₅(C₃xC₂²:C₄) = C₃xC₁₈.D₄	φ: C₃xC₂²:C₄/C₂²xC₆ → C₂ ⊆ Aut C₉	72		C9:5(C3xC2^2:C4)	432,164

Non-split extensions G=N.Q with N=C₉ and Q=C₃xC₂²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃xC₂²:C₄) = C₂²:C₄xC₂₇	central extension (φ=1)	216		C9.(C3xC2^2:C4)	432,21

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