Extensions 1→N→G→Q→1 with N=C₃ and Q=C₆xD₄

Direct product G=NxQ with N=C₃ and Q=C₆xD₄

		d	ρ	Label	ID
D₄xC₃xC₆		72		D4xC3xC6	144,179

Semidirect products G=N:Q with N=C₃ and Q=C₆xD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₆xD₄) = C₆xD₁₂	φ: C₆xD₄/C₂xC₁₂ → C₂ ⊆ Aut C₃	48		C3:1(C6xD4)	144,160
C₃:₂(C₆xD₄) = C₃xS₃xD₄	φ: C₆xD₄/C₃xD₄ → C₂ ⊆ Aut C₃	24	4	C3:2(C6xD4)	144,162
C₃:₃(C₆xD₄) = C₆xC₃:D₄	φ: C₆xD₄/C₂²xC₆ → C₂ ⊆ Aut C₃	24		C3:3(C6xD4)	144,167

Non-split extensions G=N.Q with N=C₃ and Q=C₆xD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₆xD₄) = D₄xC₁₈	central extension (φ=1)	72		C3.(C6xD4)	144,48

Extensions 1→N→G→Q→1 with N=C3 and Q=C6xD4