[0bservator]

Guess I can check if the current group ID corresponds with the group I am in.

<?php 

// Let's say my group ID = 1
$exclude_admins_mods = (bp_get_group_id() == 1) ? 0 : 1;
if (bp_group_has_members(array('exclude_admins_mods'=> $exclude_admins_mods))) : 

/* Member details */

endif;

?>

[0bservator]

<?php $args = array(
'group_id' => bp_get_group_id(),
'exclude_admins_mods'=> 0
); ?>

In the default groups loop:

<?php if (bp_group_has_members($args)) : ?>
// member details
<?php endif; ?>

or when you use the groups_get_group_members() function:
<?php $groups_get_group_members = groups_get_group_members($args); ?>