Extensions 1→N→G→Q→1 with N=SL₂(F₃) and Q=C₆

Direct product G=NxQ with N=SL₂(F₃) and Q=C₆

		d	ρ	Label	ID
C₆xSL₂(F₃)		48		C6xSL(2,3)	144,156

Semidirect products G=N:Q with N=SL₂(F₃) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(F₃):C₆ = C₃xGL₂(F₃)	φ: C₆/C₃ → C₂ ⊆ Out SL₂(F₃)	24	2	SL(2,3):C6	144,122
SL₂(F₃):₂C₆ = C₃xC₄.A₄	φ: trivial image	48	2	SL(2,3):2C6	144,157

Non-split extensions G=N.Q with N=SL₂(F₃) and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
SL₂(F₃).C₆ = C₃xCSU₂(F₃)	φ: C₆/C₃ → C₂ ⊆ Out SL₂(F₃)	48	2	SL(2,3).C6	144,121

Extensions 1→N→G→Q→1 with N=SL2(F3) and Q=C6