Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃xC₃²:C₄

Direct product G=NxQ with N=C₂² and Q=C₃xC₃²:C₄

		d	ρ	Label	ID
C₂xC₆xC₃²:C₄		48		C2xC6xC3^2:C4	432,765

Semidirect products G=N:Q with N=C₂² and Q=C₃xC₃²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₃xC₃²:C₄) = A₄xC₃²:C₄	φ: C₃xC₃²:C₄/C₃²:C₄ → C₃ ⊆ Aut C₂²	24	12+	C2^2:(C3xC3^2:C4)	432,744
C₂²:₂(C₃xC₃²:C₄) = C₃xC₆²:C₄	φ: C₃xC₃²:C₄/C₃xC₃:S₃ → C₂ ⊆ Aut C₂²	24	4	C2^2:2(C3xC3^2:C4)	432,634

Non-split extensions G=N.Q with N=C₂² and Q=C₃xC₃²:C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃xC₃²:C₄) = C₃xC₆².C₄	φ: C₃xC₃²:C₄/C₃xC₃:S₃ → C₂ ⊆ Aut C₂²	24	4	C2^2.(C3xC3^2:C4)	432,633
C₂².₂(C₃xC₃²:C₄) = C₆xC₃²:₂C₈	central extension (φ=1)	48		C2^2.2(C3xC3^2:C4)	432,632

Extensions 1→N→G→Q→1 with N=C22 and Q=C3xC32:C4