Compatibility summary
Your India plug may fit in New Caledonia outlets, as both use at least one common plug type.
Plug comparison
India plug types: C D M
New Caledonia plug types: C E
Both countries share at least one plug type (C D M and C E), so some plugs may work without an adapter. Check your appliance.
Voltage comparison
India: 230V, 50Hz
New Caledonia: 230V, 50Hz
Voltage difference is within a range many devices tolerate; check your appliance label.