Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₈oD₄

Direct product G=NxQ with N=C₃ and Q=C₃xC₈oD₄

		d	ρ	Label	ID
C₃²xC₈oD₄		144		C3^2xC8oD4	288,828

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₈oD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xC₈oD₄) = C₃xC₈oD₁₂	φ: C₃xC₈oD₄/C₂xC₂₄ → C₂ ⊆ Aut C₃	48	2	C3:1(C3xC8oD4)	288,672
C₃:₂(C₃xC₈oD₄) = C₃xD₁₂.C₄	φ: C₃xC₈oD₄/C₃xM₄(2) → C₂ ⊆ Aut C₃	48	4	C3:2(C3xC8oD4)	288,678
C₃:₃(C₃xC₈oD₄) = C₃xD₄.Dic₃	φ: C₃xC₈oD₄/C₃xC₄oD₄ → C₂ ⊆ Aut C₃	48	4	C3:3(C3xC8oD4)	288,719

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₈oD₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃xC₈oD₄) = C₉xC₈oD₄	central extension (φ=1)	144	2	C3.(C3xC8oD4)	288,181

Extensions 1→N→G→Q→1 with N=C3 and Q=C3xC8oD4