We report the detection of the Lyman continuum (LyC) radiation of the compact starforming galaxy (SFG) J1154+2443 observed with the Cosmic Origins Spectrograph (COS) onboard the Hubble Space Telescope. This galaxy, at a redshift of z = 0.3690, is characterized by a high emission-line flux ratio O 32 = [O iii]λ5007/[O ii]λ3727 = 11.5. The escape fraction of the LyC radiation f esc (LyC) in this galaxy is 46 per cent, the highest value found so far in low-redshift SFGs and one of the highest values found in galaxies at any redshift. The narrow double-peaked Lyα emission line is detected in the spectrum of J1154+2443 with a separation between the peaks V sep of 199 km s −1 , one of the lowest known for Lyα-emitting galaxies, implying a high f esc (Lyα). Comparing the extinction-corrected Lyα/Hβ flux ratio with the case B value we find f esc (Lyα) = 98 per cent. Our observations, combined with previous detections in the literature, reveal an increase of O 32 with increasing f esc (LyC). We also find a tight anticorrelation between f esc (LyC) and V sep . The surface brightness profile derived from the COS acquisition image reveals a bright star-forming region in the centre and an exponential disc in the outskirts with a disc scale length α = 1.09 kpc. J1154+2443, compared to other known low-redshift LyC leakers, is characterized by the lowest metallicity, 12+logO/H = 7.65±0.01, the lowest stellar mass M = 10 8.20 M , a similar star formation rate SFR = 18.9 M yr −1 and a high specific SFR of 1.2×10 −7 yr −1 .