Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃xC₄:C₄

Direct product G=NxQ with N=C₉ and Q=C₃xC₄:C₄

		d	ρ	Label	ID
C₄:C₄xC₃xC₉		432		C4:C4xC3xC9	432,206

Semidirect products G=N:Q with N=C₉ and Q=C₃xC₄:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉:₁(C₃xC₄:C₄) = Dic₉:C₁₂	φ: C₃xC₄:C₄/C₂xC₄ → C₆ ⊆ Aut C₉	144		C9:1(C3xC4:C4)	432,145
C₉:₂(C₃xC₄:C₄) = C₃₆:C₁₂	φ: C₃xC₄:C₄/C₂xC₄ → C₆ ⊆ Aut C₉	144		C9:2(C3xC4:C4)	432,146
C₉:₃(C₃xC₄:C₄) = C₄:C₄x3_-¹⁺²	φ: C₃xC₄:C₄/C₄:C₄ → C₃ ⊆ Aut C₉	144		C9:3(C3xC4:C4)	432,208
C₉:₄(C₃xC₄:C₄) = C₃xDic₉:C₄	φ: C₃xC₄:C₄/C₂xC₁₂ → C₂ ⊆ Aut C₉	144		C9:4(C3xC4:C4)	432,129
C₉:₅(C₃xC₄:C₄) = C₃xC₄:Dic₉	φ: C₃xC₄:C₄/C₂xC₁₂ → C₂ ⊆ Aut C₉	144		C9:5(C3xC4:C4)	432,130

Non-split extensions G=N.Q with N=C₉ and Q=C₃xC₄:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃xC₄:C₄) = C₄:C₄xC₂₇	central extension (φ=1)	432		C9.(C3xC4:C4)	432,22

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