Now that I look at the list again, I see you are correct, I thought there was a designation for E2F, but was wrong.
See part C
REFERENCE−
FAA Order JO 7110.65, Para 2−1−4, Operational Priority.
8. Vice Presidential aircraft:
(a) When the Vice President is aboard a
military aircraft, state the name of the military
service, followed by the word “Two.”
EXAMPLE−
“Air Force Two.”
“Army Two.”
“Marine Two.”
(b) When the Vice President is aboard a civil
aircraft, state the words “Executive Two.”
(c) When a member of the Vice President’s
family is aboard any aircraft, if the U.S. Secret
Service or the White House Staff determines it is
necessary, state the words “Executive Two Foxtrot.”