Extensions 1→N→G→Q→1 with N=C₃ and Q=GL₂(F₃)

Direct product G=NxQ with N=C₃ and Q=GL₂(F₃)

		d	ρ	Label	ID
C₃xGL₂(F₃)		24	2	C3xGL(2,3)	144,122

Semidirect products G=N:Q with N=C₃ and Q=GL₂(F₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:GL₂(F₃) = C₆.₆S₄	φ: GL₂(F₃)/SL₂(F₃) → C₂ ⊆ Aut C₃	24	4+	C3:GL(2,3)	144,125

Non-split extensions G=N.Q with N=C₃ and Q=GL₂(F₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.GL₂(F₃) = Q₈:D₉	φ: GL₂(F₃)/SL₂(F₃) → C₂ ⊆ Aut C₃	72	4+	C3.GL(2,3)	144,32

Extensions 1→N→G→Q→1 with N=C3 and Q=GL2(F3)