ANA is the largest airline in Japan though.
ANA - 1,484,600 million yen
JAL - 1,205,200 million yen
That's pretty clear lead, and it's increasing year by year.[1] https://www.ana.co.jp/group/investors/irdata/annual/pdf/16f/...
[2] https://www.jal.com/en/investor/library/finance/pdf/fy2015q4...