Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=SL₂(F₃)

Direct product G=NxQ with N=C₃xC₆ and Q=SL₂(F₃)

		d	ρ	Label	ID
C₃xC₆xSL₂(F₃)		144		C3xC6xSL(2,3)	432,698

Semidirect products G=N:Q with N=C₃xC₆ and Q=SL₂(F₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆):SL₂(F₃) = C₂xASL₂(F₃)	φ: SL₂(F₃)/C₁ → SL₂(F₃) ⊆ Aut C₃xC₆	18	8+	(C3xC6):SL(2,3)	432,735
(C₃xC₆):₂SL₂(F₃) = C₂xQ₈:He₃	φ: SL₂(F₃)/Q₈ → C₃ ⊆ Aut C₃xC₆	144		(C3xC6):2SL(2,3)	432,336

Non-split extensions G=N.Q with N=C₃xC₆ and Q=SL₂(F₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).SL₂(F₃) = C₂xQ₈:3_-¹⁺²	φ: SL₂(F₃)/Q₈ → C₃ ⊆ Aut C₃xC₆	144		(C3xC6).SL(2,3)	432,335
(C₃xC₆).₂SL₂(F₃) = C₆xQ₈:C₉	central extension (φ=1)	432		(C3xC6).2SL(2,3)	432,334

Extensions 1→N→G→Q→1 with N=C3xC6 and Q=SL2(F3)