Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃xC₃.A₄

Direct product G=NxQ with N=C₂² and Q=C₃xC₃.A₄

		d	ρ	Label	ID
C₂xC₆xC₃.A₄		108		C2xC6xC3.A4	432,548

Semidirect products G=N:Q with N=C₂² and Q=C₃xC₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(C₃xC₃.A₄) = A₄xC₃.A₄	φ: C₃xC₃.A₄/C₃.A₄ → C₃ ⊆ Aut C₂²	54	9	C2^2:1(C3xC3.A4)	432,524
C₂²:₂(C₃xC₃.A₄) = C₃xC₂⁴:C₉	φ: C₃xC₃.A₄/C₆² → C₃ ⊆ Aut C₂²	108		C2^2:2(C3xC3.A4)	432,553

Non-split extensions G=N.Q with N=C₂² and Q=C₃xC₃.A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃xC₃.A₄) = C₃xC₄²:C₉	φ: C₃xC₃.A₄/C₆² → C₃ ⊆ Aut C₂²	108		C2^2.(C3xC3.A4)	432,101
C₂².₂(C₃xC₃.A₄) = C₆xQ₈:C₉	central extension (φ=1)	432		C2^2.2(C3xC3.A4)	432,334

Extensions 1→N→G→Q→1 with N=C22 and Q=C3xC3.A4