guitar chord
F5
F1C5
Root and fifth, no third at all — neither major nor minor, which is the point.
What is true of it
F5 is F and C — 1 and 5 counted from F.
No fingering of F5 fits a hand on the guitar: inside four frets, with the strings that sound next to each other and the root underneath, there is nothing to hold.
Where its notes are on the neck
The brass dots are F, the root. Everything else is a chord tone with its degree printed in it.
With a different note underneath
F5/C
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An inversion is the same chord with a different note lowest. The name changes to a slash name because the bass is what a listener hears as the foundation.