uhhh, a theocracy can be anything if the government is perfectly intertwined with a religious organization.
britain used to be a theocratic monarchy, for example, as well as most of europe
an example of theocratic oligarchy (influenced by populous to an extent, so long as the populous doesn't go against religion) is iran
so its always a monarchy/dictatorial style, just sometimes representational politics are used by the theocracy to determine how best to rule the people...