OK, physicist mode on...
There are two, critically different velocities of electromagnetic radiation, and you conflated them.
First is the phase velocity, which is v_phi = frequency * wavelength (or v_phi = omega/k, where omega = 2 pi f, and k = 2 pi / wavelength), and is the velocity with which the wavefront of a monochromatic, continuous wave advances, and can be a number greater or less than the speed of light, since a continuous wave doesn't carry information. It can even go all the way to infinity in the case of a wave in a plasma right at the plasma frequency.
The second velocity is v_group, which is the derivative d(omega)/d(k). This is the velocity at which a pulse (formed by a group of waves of differing frequency) advances. It is never greater than the speed of light in vacuum. Note, weirdly, that the index of refraction is defined as c/v_phi, but that this isn't actually the right number to figure out how long it takes a pulse to get through a fiber (or other medium other than vacuum). It's the dispersion d(omega)/d(k) that sets the group velocity and the speed of information propagation.