Collective states in $^{152}\mathrm{Sm}$ have been studied by multiple Coulomb excitation with 41.0-59.1 MeV $^{16}\mathrm{O}$ ions. The excitation probabilities for the ${2}^{+}$, ${4}^{+}$, ${6}^{+}$, and ${8}^{+}$ states of the ground state rotational band, the ${0}^{+}$, ${2}^{+}$, and ${4}^{+}$ states of the $\ensuremath{\beta}$ vibrational band, the ${2}^{+}$ and ${4}^{+}$ states of the $\ensuremath{\gamma}$ vibrational band and the ${1}^{\ensuremath{-}}$, ${3}^{\ensuremath{-}}$, and ${5}^{\ensuremath{-}}$ states of the octupole band have been measured. The angular correlations and branching ratios for the strongest transitions deexciting these states have also been measured. From these correlations the $\frac{E2}{M1}$ mixing ratios have been obtained for the ${2}_{\ensuremath{\beta}}\ensuremath{\rightarrow}2$, ${4}_{\ensuremath{\beta}}\ensuremath{\rightarrow}4$, ${2}_{\ensuremath{\gamma}}\ensuremath{\rightarrow}2$, and ${4}_{\ensuremath{\gamma}}\ensuremath{\rightarrow}4$ transitions. Deviations of both the branching ratios from the $\ensuremath{\beta}$ and $\ensuremath{\gamma}$ bands and the excitation probabilities for states in the ground state band from the simple rotational predictions are examined in terms of the modified rotational model with first order band mixing between the ground state band, $\ensuremath{\gamma}$, and $\ensuremath{\beta}$ bands. It is shown that although this model gives satisfactory agreement with the multiple Coulomb excitation theory for the excitation probabilities, the branching ratios for decay of the ${2}_{\ensuremath{\beta}}$ and ${4}_{\ensuremath{\beta}}$ states are not consistent, as has previously been shown in radioactive decay studies. The transition probabilities within the ground state band and from the ${0}_{\ensuremath{\beta}}$ state are compared with recent accurate measurements of the lifetimes of these states by the recoildistance Doppler shift technique.NUCLEAR REACTIONS $^{152}\mathrm{Sm}(^{16}\mathrm{O},^{16}\mathrm{O}^{\ensuremath{'}}\ensuremath{\gamma})$, $E=41.0\ensuremath{-}59.1$ MeV; measured $\ensuremath{\sigma}(E)$, measured ${I}_{\ensuremath{\gamma}}$, $^{16}\mathrm{O}^{\ensuremath{'}}\ensuremath{\gamma}(\ensuremath{\theta})$. Deduced $\ensuremath{\sigma}(\frac{E2}{M1})$, band-mixing parameters ${Z}_{0}$, ${Z}_{2}$. Enriched targets; Ge(Li) detector.