Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xD₆:C₄

Direct product G=NxQ with N=C₃ and Q=C₃xD₆:C₄

		d	ρ	Label	ID
C₃²xD₆:C₄		144		C3^2xD6:C4	432,474

Semidirect products G=N:Q with N=C₃ and Q=C₃xD₆:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xD₆:C₄) = C₃xC₆.D₁₂	φ: C₃xD₆:C₄/C₆xDic₃ → C₂ ⊆ Aut C₃	48		C3:1(C3xD6:C4)	432,427
C₃:₂(C₃xD₆:C₄) = C₃xC₆.₁₁D₁₂	φ: C₃xD₆:C₄/C₆xC₁₂ → C₂ ⊆ Aut C₃	144		C3:2(C3xD6:C4)	432,490
C₃:₃(C₃xD₆:C₄) = C₃xD₆:Dic₃	φ: C₃xD₆:C₄/S₃xC₂xC₆ → C₂ ⊆ Aut C₃	48		C3:3(C3xD6:C4)	432,426

Non-split extensions G=N.Q with N=C₃ and Q=C₃xD₆:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.₁(C₃xD₆:C₄) = C₃xD₁₈:C₄	φ: C₃xD₆:C₄/C₆xC₁₂ → C₂ ⊆ Aut C₃	144		C3.1(C3xD6:C4)	432,134
C₃.₂(C₃xD₆:C₄) = C₆².₂₁D₆	φ: C₃xD₆:C₄/C₆xC₁₂ → C₂ ⊆ Aut C₃	72		C3.2(C3xD6:C4)	432,141
C₃.₃(C₃xD₆:C₄) = D₁₈:C₁₂	φ: C₃xD₆:C₄/C₆xC₁₂ → C₂ ⊆ Aut C₃	72		C3.3(C3xD6:C4)	432,147
C₃.₄(C₃xD₆:C₄) = C₉xD₆:C₄	central extension (φ=1)	144		C3.4(C3xD6:C4)	432,135

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