Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆xC₄oD₄

Direct product G=NxQ with N=C₃ and Q=C₆xC₄oD₄

		d	ρ	Label	ID
C₄oD₄xC₃xC₆		144		C4oD4xC3xC6	288,1021

Semidirect products G=N:Q with N=C₃ and Q=C₆xC₄oD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₆xC₄oD₄) = C₆xC₄oD₁₂	φ: C₆xC₄oD₄/C₂²xC₁₂ → C₂ ⊆ Aut C₃	48		C3:1(C6xC4oD4)	288,991
C₃:₂(C₆xC₄oD₄) = C₆xD₄:₂S₃	φ: C₆xC₄oD₄/C₆xD₄ → C₂ ⊆ Aut C₃	48		C3:2(C6xC4oD4)	288,993
C₃:₃(C₆xC₄oD₄) = C₆xQ₈:₃S₃	φ: C₆xC₄oD₄/C₆xQ₈ → C₂ ⊆ Aut C₃	96		C3:3(C6xC4oD4)	288,996
C₃:₄(C₆xC₄oD₄) = C₃xS₃xC₄oD₄	φ: C₆xC₄oD₄/C₃xC₄oD₄ → C₂ ⊆ Aut C₃	48	4	C3:4(C6xC4oD4)	288,998

Non-split extensions G=N.Q with N=C₃ and Q=C₆xC₄oD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆xC₄oD₄) = C₄oD₄xC₁₈	central extension (φ=1)	144		C3.(C6xC4oD4)	288,370

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