Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃xC₄.₁₀D₄

Direct product G=NxQ with N=C₃ and Q=C₃xC₄.₁₀D₄

		d	ρ	Label	ID
C₃²xC₄.₁₀D₄		144		C3^2xC4.10D4	288,319

Semidirect products G=N:Q with N=C₃ and Q=C₃xC₄.₁₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:₁(C₃xC₄.₁₀D₄) = C₃xC₁₂.₄₇D₄	φ: C₃xC₄.₁₀D₄/C₃xM₄(2) → C₂ ⊆ Aut C₃	48	4	C3:1(C3xC4.10D4)	288,258
C₃:₂(C₃xC₄.₁₀D₄) = C₃xC₁₂.₁₀D₄	φ: C₃xC₄.₁₀D₄/C₆xQ₈ → C₂ ⊆ Aut C₃	48	4	C3:2(C3xC4.10D4)	288,270

Non-split extensions G=N.Q with N=C₃ and Q=C₃xC₄.₁₀D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃xC₄.₁₀D₄) = C₉xC₄.₁₀D₄	central extension (φ=1)	144	4	C3.(C3xC4.10D4)	288,51

Extensions 1→N→G→Q→1 with N=C3 and Q=C3xC4.10D4