If we consider a continuous material, instead of only this cell, there are some more rotation axes (this feels like too many?). The axes described always go through the nearest atom of a particular kind to the named and considered atom.
Fe I:
Yellow arrow: 4 fold (with other 4 fold: -> Theorem 2:EFG = 0)
Axis through FeI and Fe IIa: 2 fold
Axis through FeI and Fe IIb (bottom one): 2 fold
Fe IIa:
Fe IIa to Fe IIa (diagonal, not through middle): 2 fold
Fe IIa to Fe IIb: 2 fold
Fe IIa to Fe I: 2 fold
Fe IIb:
Fe IIb – Fe I: 2 fold
Fe IIb – Fe IIa: 2 fold