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Wi-Fi icon with an exclamation mark on a Samsung phone: what does it mean?

On a Samsung Galaxy it means you are connected to Wi-Fi but that network has no internet.

What Samsung says

What it looks like
The Wi-Fi fan with a small exclamation mark next to it.
Shown by
Samsung Galaxy

Icons to compare

Sources

Each meaning above is taken from the maker’s own support page, fetched and read on the date shown. The drawing is ours; the real icon on your phone may be drawn a little differently and can change with software updates.