Hi there,

Currently, it is not possible for you to achieve this as it will required heavy modifications. But here i listed which files that is responsible for those views.

Group cover:

/Applications/AMPPS/www/easydiscuss.com/components/com_easysocial/themes/wireframe/helpers/cover/group.php

Dropdown sections on groups covers:
[gist type="php"]

<?php if ($group->canAccessActionMenu() || $group->isMember()) { ?>
<div class="btn-group" role="group">

<button data-type="button" class="dropdown-toggle_ btn btn-es-default-o btn-sm" data-bs-toggle="dropdown">
<i class="fa fa-ellipsis-h"></i>
</button>

<ul class="dropdown-menu dropdown-menu-right">
<?php if ($group->canInvite()) { ?>
<li>
<a href="javascript:void(0);" data-es-groups-invite data-id="<?php echo $group->id;?>"><?php echo JText::_('COM_EASYSOCIAL_GROUPS_INVITE_FRIENDS');?></a>
</li>

<?php if ($group->canAccessActionMenu()) { ?>
<li class="divider"></li>
<?php } ?>
<?php } ?>

<?php echo $this->html('group.report', $group); ?>

<?php echo $this->html('group.adminActions', $group); ?>
</ul>
</div>
<?php } ?>
[/gist]

Easydiscuss apps(funcitons and files):

/Applications/AMPPS/www/easydiscuss.com/media/com_easysocial/apps/group/easydiscuss/widgets/groups/view.html.php
/Applications/AMPPS/www/easydiscuss.com/media/com_easysocial/apps/group/easydiscuss/themes/default/widgets/widget.menu.php

Thanks for you understanding.