Hi
I am not a muslim but have been to a muslim funeral so can tell you my experience of that. The funeral I went to was for someone from a Pakistani family, so it may be that some parts were more cultural than religious, so hopefully others with more experience will come along and let you know if this is a typical experience
When I arrived at the mosque, I asked someone outside where I should go and was directed to a big room with the other women and small children in. The room had women and children milling around, sitting on floors with a very few chairs for elderly, infirm people. The body was brought into the room in an open casket. We just stayed in that room really, some standing some sitting on the floor.
The family and close friends seems to spend and quite a bit of time around the coffin some praying, and some crying etc. There was quite a bit of walking around, talking, praying, hugging but nothing seemed like a formal ceremony. Children were allowed/encouraged to look at the body and pray and cry as they needed to
The men were in a room next door where they were being led in prayer (I think).
After about and hour or more (not sure exactly) some men came in and took the body to the cemetery - only men went to the graveside.
The women stayed in the mosque and brought out food and ate ( the men probably came back to eat later, though I had to leave then so am not completely sure)
Most women covered their heads in some way but the were a variety of different head coverings worn but other than that, I couldn't see any obvious common clothing. I wore a loose headscarf and wore modest clothes that covered my arms and legs.
Also the funeral I went to coincided with normal prayer time so at one point, others came in and about 70-80% of people knelt in one directions and said the normal evening prayers.
It did get a bit crowded and hot at one point but it would have been fine I think to step out for a bit.
I went because my friend lost her (ex) husband and her children their dad, and she seemed to gain comfort from all of the people there.
It was different to a Christian funeral in the lack of formal outward ceremony (to my eyes anyway) but in the end it was just people sad that someone they loved had died and expressing that grief, so no different really