The actual rule
Overtime hours are paid at 1.5 times your regular rate (federal FLSA, hours over 40 per week). They are taxed at the same rate as regular wages. Federal income tax, FICA, state tax all apply identically.
Why it can feel like more tax
Payroll software calculates withholding as if every paycheck represents your typical earning level for the year. A paycheck with a lot of overtime annualizes to a higher total income, which puts you in a higher projected bracket. So withholding on that one paycheck is higher than it would be if the same dollars had been spread evenly.
This is over-withholding. At year-end, when your actual annual income lands in your real bracket, the over-withheld amount comes back as a refund (or reduces your balance owed).
FICA still applies normally
6.2 percent Social Security up to the wage base, 1.45 percent Medicare on every dollar, plus 0.9 percent Additional Medicare above $200k single. No quirks here.
The overtime tax myth in one sentence
The overtime hours are not taxed more, the paycheck containing them is over-withheld for federal income tax. The over-withholding refunds at filing time.