Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃²:A₄

Direct product G=NxQ with N=C₂² and Q=C₃²:A₄

		d	ρ	Label	ID
C₂²xC₃²:A₄		36		C2^2xC3^2:A4	432,550

Semidirect products G=N:Q with N=C₂² and Q=C₃²:A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(C₃²:A₄) = C₂⁴:He₃	φ: C₃²:A₄/C₃xA₄ → C₃ ⊆ Aut C₂²	36	9	C2^2:1(C3^2:A4)	432,526
C₂²:₂(C₃²:A₄) = C₆²:A₄	φ: C₃²:A₄/C₆² → C₃ ⊆ Aut C₂²	36		C2^2:2(C3^2:A4)	432,555

Non-split extensions G=N.Q with N=C₂² and Q=C₃²:A₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃²:A₄) = C₄²:He₃	φ: C₃²:A₄/C₆² → C₃ ⊆ Aut C₂²	36	3	C2^2.(C3^2:A4)	432,103
C₂².₂(C₃²:A₄) = C₂xQ₈:He₃	central extension (φ=1)	144		C2^2.2(C3^2:A4)	432,336

Extensions 1→N→G→Q→1 with N=C22 and Q=C32:A4