Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃²xA₄

Direct product G=NxQ with N=C₂² and Q=C₃²xA₄

		d	ρ	Label	ID
A₄xC₆²		108		A4xC6^2	432,770

Semidirect products G=N:Q with N=C₂² and Q=C₃²xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(C₃²xA₄) = C₃xA₄²	φ: C₃²xA₄/C₃xA₄ → C₃ ⊆ Aut C₂²	36	9	C2^2:1(C3^2xA4)	432,750
C₂²:₂(C₃²xA₄) = C₃²xC₂²:A₄	φ: C₃²xA₄/C₆² → C₃ ⊆ Aut C₂²	108		C2^2:2(C3^2xA4)	432,771

Non-split extensions G=N.Q with N=C₂² and Q=C₃²xA₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃²xA₄) = C₃²xC₄²:C₃	φ: C₃²xA₄/C₆² → C₃ ⊆ Aut C₂²	108		C2^2.(C3^2xA4)	432,463
C₂².₂(C₃²xA₄) = C₃xC₆xSL₂(F₃)	central extension (φ=1)	144		C2^2.2(C3^2xA4)	432,698

Extensions 1→N→G→Q→1 with N=C22 and Q=C32xA4