Extensions 1→N→G→Q→1 with N=C₃ and Q=C₄xSL₂(F₃)

Direct product G=NxQ with N=C₃ and Q=C₄xSL₂(F₃)

		d	ρ	Label	ID
C₁₂xSL₂(F₃)		96		C12xSL(2,3)	288,633

Semidirect products G=N:Q with N=C₃ and Q=C₄xSL₂(F₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃:(C₄xSL₂(F₃)) = Dic₃xSL₂(F₃)	φ: C₄xSL₂(F₃)/C₂xSL₂(F₃) → C₂ ⊆ Aut C₃	96		C3:(C4xSL(2,3))	288,409

Non-split extensions G=N.Q with N=C₃ and Q=C₄xSL₂(F₃)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₄xSL₂(F₃)) = C₄xQ₈:C₉	central extension (φ=1)	288		C3.(C4xSL(2,3))	288,72

Extensions 1→N→G→Q→1 with N=C3 and Q=C4xSL2(F3)