Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₈.C₄

Direct product G=NxQ with N=C₃ and Q=C₃xC₈.C₄

		d	ρ	Label	ID
C₃²xC₈.C₄		144		C3^2xC8.C4	288,326

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₈.C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xC₈.C₄) = C₃xC₂₄.C₄	φ: C₃xC₈.C₄/C₂xC₂₄ → C₂ ⊆ Aut C₃	48	2	C3:1(C3xC8.C4)	288,253
C₃:₂(C₃xC₈.C₄) = C₃xC₁₂.₅₃D₄	φ: C₃xC₈.C₄/C₃xM₄(2) → C₂ ⊆ Aut C₃	48	4	C3:2(C3xC8.C4)	288,256

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₈.C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃xC₈.C₄) = C₉xC₈.C₄	central extension (φ=1)	144	2	C3.(C3xC8.C4)	288,58

Extensions 1→N→G→Q→1 with N=C3 and Q=C3xC8.C4