A Few Details In The Time Machine

HG Wells, The Time Machine (Pan Books, London, 1973).

Present At Both Dinners
the Time Traveller
the outer narrator
the Medical Man or Doctor
the Psychologist

Present Only At The First Dinner
the argumentative Filby
the Very Young Man
the Provincial Mayor

Present Only At The Second Dinner
the Editor ("Blank")
the Journalist ("Dash")
the Silent Man ("Chose")

"'Where's - ?' I said, naming our host." (Chapter 3, p. 18)

"'Has Mr - gone out that way?' said I." (Chapter 16, p. 100)

Thus, the characters name each other but not to us.

"'...I seemed to see Hillyer for a moment...'" (Chapter 15, p. 96)

We deduce that Hillyer is the outer narrator. See here. Thus, we know the names of only two of the ten men, Filby and Hillyer.