Count occurrences of unique values in a column of one 2d array

I currently have the following array:

Array(
    [0] => Array
        (
            [user] => Name 1
            [group] => 1
        )
    [1] => Array
        (
            [user] => Name 2
            [group] => 1
        )
    [2] => Array
        (
            [user] => Name 3
            [group] => 2
        )
    [3] => Array
        (
            [user] => Name 4
            [group] => 2
        )
    [4] => Array
        (
            [user] => Name 5
            [group] => 3
        )
)

I am attempting to create a new array with the various group values as the key, then count how many are in each group to give the following:

Array
(
    [1] => 2
    [2] => 2
    [3] => 1
)

I have attempted to use the following, however I get undefined index warnings:

$newArr = array();
foreach ($details['user_groups'] as $key => $value) {
    $newArr[$value['user_groups']]++;
}