Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₄:Dic₃

Direct product G=NxQ with N=C₃ and Q=C₃xC₄:Dic₃

		d	ρ	Label	ID
C₃²xC₄:Dic₃		144		C3^2xC4:Dic3	432,473

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₄:Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xC₄:Dic₃) = C₃xDic₃:Dic₃	φ: C₃xC₄:Dic₃/C₆xDic₃ → C₂ ⊆ Aut C₃	48		C3:1(C3xC4:Dic3)	432,428
C₃:₂(C₃xC₄:Dic₃) = C₃xC₁₂:Dic₃	φ: C₃xC₄:Dic₃/C₆xC₁₂ → C₂ ⊆ Aut C₃	144		C3:2(C3xC4:Dic3)	432,489

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₄:Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xC₄:Dic₃) = C₃xC₄:Dic₉	φ: C₃xC₄:Dic₃/C₆xC₁₂ → C₂ ⊆ Aut C₃	144		C3.1(C3xC4:Dic3)	432,130
C₃.₂(C₃xC₄:Dic₃) = C₆².₂₀D₆	φ: C₃xC₄:Dic₃/C₆xC₁₂ → C₂ ⊆ Aut C₃	144		C3.2(C3xC4:Dic3)	432,140
C₃.₃(C₃xC₄:Dic₃) = C₃₆:C₁₂	φ: C₃xC₄:Dic₃/C₆xC₁₂ → C₂ ⊆ Aut C₃	144		C3.3(C3xC4:Dic3)	432,146
C₃.₄(C₃xC₄:Dic₃) = C₉xC₄:Dic₃	central extension (φ=1)	144		C3.4(C3xC4:Dic3)	432,133

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