Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄²:C₆

Direct product G=NxQ with N=C₃ and Q=C₄²:C₆

		d	ρ	Label	ID
C₃xC₄²:C₆		48	6	C3xC4^2:C6	288,635

Semidirect products G=N:Q with N=C₃ and Q=C₄²:C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₄²:C₆) = C₄²:C₃:S₃	φ: C₄²:C₆/C₄²:C₃ → C₂ ⊆ Aut C₃	48	6	C3:(C4^2:C6)	288,406

Non-split extensions G=N.Q with N=C₃ and Q=C₄²:C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄²:C₆) = C₄²:C₁₈	central extension (φ=1)	72	6	C3.(C4^2:C6)	288,74

Extensions 1→N→G→Q→1 with N=C3 and Q=C42:C6