Solid line = floor (spellings that unambiguously belong to the group). Shaded band up to the dashed edge = ceiling (the most it could reach if every ambiguous spelling counted here).
Maximus is now well below its former popularity. All-time it's been given to 34,679 U.S. babies, the 601st most common name by sound today, peaking at 2,137 in 2014, with 1,249 in 2025.
Maximus has no common alternate spellings by sound.
Source: U.S. Social Security Administration, “National data” baby-names files (1880–2025).