Disclaimer: I am not Rick Riordan or George Lucas.
Here are the characters in this story:
Percy Jackson - Luke Skywalker (age 16), Jedi demigod
Annabeth Chase - Mara Jade (age 17), Jedi demigod
Jason Grace - Jacen Solo (age 16), Imperial demigod and former Grand Admiral of the Imperial Remnant
Piper McLean - Danni Quee (age 15), Jedi demigod
Leo Valdez - Ben Skywalker (age 15), Jedi demigod
Hazel Levesque - Tahiri Veila (age 13), Imperial demigod and witch
Frank Zhang - Jagged Fel (age 16), Grand Admiral of the Imperial Remnant
Reyna Ramirez-Arellano - Tenel Ka Djo (age 16), Grand Admiral of the Imperial Remnant
Nico di Angelo - Kyp Durron (age 14), Jedi demigod
Octavian - Thrackan Sal-Solo (age 18), Imperial senator and seer
Gleeson Hedge - Booster Terrik (age 104), Jedi recruiter
Grover Underwood - Corran Horn (age 33), Lord of the Wild
Rachel Dare - Gaeriel Captison (age 16), Jedi Prophet
Ares / Mars Ultor - Yun-Yammka / Yammosk (immortal), god of war
Arachne - Lomi Plo (immortal), weaver
Aphrodite / Venus - Yun-Q'aah / Lwyll (immortal), goddess of love (mention only)
Dakota - Wedge Antilles (age 17), Imperial demigod and general
Nemesis - Yun-Harla (immortal), goddess of revenge (mention only)
Tyson - Lowbacca (age 16), general (mention only)
Gaea - Abeloth (immortal), mastermind
Porphyrion - Shimrra (immortal), Supreme Overlord of the Yuuzhan Vong
Mrs. O'Leary - Drang (immortal), vornskr (mention only)
Calypso - Vestara Khai (immortal), witch
Hecate - Morag (immortal), goddess of magic
Alcyoneus - Shedao Shai (immortal), Yuuzhan Vong
Sam Valdez Senior - Anakin Solo (deceased), ancestor of Ben Skywalker (mention only)
Polybotes - Tsavong Lah (immortal), Yuuzhan Vong
Arion - Tikk (immortal), uvak
Iapetus "Bob" - Revan "Darth" (immortal), former Sith Lord
Festus - Falcon (age unknown), mechanical dragon
Nyx - Umbara (immortal), goddess of night
Tartarus - Yun-Yuuzhan (immortal), god of the Maw
Khione - Nen Yim (immortal), Je'daii traitor
Cupid - Yun-Txiin (immortal), god of love
Akhlys - Eldon Ax (immortal), goddess of misery
Tempest - World Brain (amortal), dhuryam
Hades / Pluto - Bogan / Vitiate (immortal), King of the Netherworld
Hyperion - Hethrir (immortal), Sith Lord
Medusa - Garowyn (immortal), Dathomirian (mention only)
Kronos / Saturn - Palpatine / Sidious (immortal), Sith Emperor (mention only)
Damasen - Vua Rapuung (immortal), Yuuzhan Vong
Krios - Darth Krayt (immortal), Sith Lord
Eris - Elan (immortal), goddess of discord
Zethes - Thrass (immortal), former Revanchist
Athena / Minerva - Ashla / Taselda (immortal), goddess of wisdom and war (mention only)
Apollo - Yavin (immortal), god of prophecy (mention only)
Heracles / Hercules - Anakin / Skywalker (immortal), god of heroes (mention only)
Kelli - Nikkos Tyris (immortal), Yuuzhan Vong collaborator
Koios - Skere Kaan (immortal), Sith Lord
Argentum - Chromium (age unknown), mechanical vornskr
Aurum - Aurodium (age unknown), mechanical vornskr
Clytius - Harrar (immortal), Yuuzhan Vong
Sciron - Xizor (deceased), pirate
Pasiphaé - Aleema Keto (immortal), witch
Geryon - Kueller (immortal), monster
Calais - Drask (immortal), former Revanchist
Small Bob - T9 (age unknown), sabercat
Buford - Fiver (age unknown), mechanical table
Scipio - Rancor (age unknown), aiwha
Notus / Auster - Kinetite / Mustafar (immortal), god of summer
Serephone - Dannik Jerriko (immortal), Yuuzhan Vong conspirator
Gale - Aurra Sing "Nashtah" (immortal), schutta and former witch
Triptolemus - Kar Vastor (immortal), god of farming
Tristan McLean - Face Loran (age 40), actor (mention only)
Jane - Viqi Shesh (age 42), brainwashed Yuuzhan Vong conspirator (mention only)
Diocletian - Contispex (deceased), former Galactic Emperor
Geras - Karia Ver Seryan (immortal), god of old age
Demeter / Ceres - Anima / Pelekotan (immortal), goddess of fertility (mention only)
Bellona - Augwynne (immortal), goddess of war (mention only)
Zephyros / Favonius - Ferus Olin / Fess Ilee (immortal), god of spring and servant of Yun-Txiin
Hecuba - Jamillia (immortal), vornskr and former Queen of Naboo
Passalos - Grees (immortal), thief
Akmon - Sligh (immortal), thief
Marcus - Vitor Reige (age 16), Imperial demigod
Nathan - Kam Solusar (age 17), Imperial demigod
Leila - Iella Wessiri (age 16), Imperial demigod
Luke Castellan - Jacen (Solo) Caedus (deceased), Jedi martyr (mention only)
Alecto - Asajj (immortal), Nightsister
Megaera - Gethzerion (immortal), Nightsister
Tisiphone - Talia (immortal), Nightsister
Enceladus - Onimi (immortal), Yuuzhan Vong
The Fates - The Ones (immortal), deities of the Force (mention only)
Hephaestus - Yun-Ne'Shel (immortal), god of fire (mention only)
Minotaur - Gamorrean (immortal), monster (mention only)
Silena Beauregard - Seha Dorvald (deceased), Jedi martyr (mention only)
Connor Stoll - Davin Fel (age 18), Jedi demigod (mention only)
Charles Beckendorf - Ganner Rhysode (deceased), Jedi martyr (mention only)
Hera / Juno - Shira / Lumiya (immortal), Queen of Tython (mention only)
Poseidon / Neptune - Vader (immortal), King of Kamino (mention only)
Chiron - Yoda (immortal), director of the Jedi Praxeum (mention only)
Thalia Grace - Jaina Solo (immortal), Witch of Dathomir (mention only)
Thanatos - Xanatos (immortal), god of death (mention only)
Zeus / Jupiter - Sekot / Zonama (immortal), King of Tython (mention only)
Ella - Qwi Xux (age unknown), Omwati (mention only)
Sally Jackson - Shmi Skywalker (age 45), mother of Luke Skywalker (mention only)
Zoë Nightshade - Akanah Norand Goss (deceased), Witch of Dathomir (mention only)
Polyphemus - Monarg (immortal), Wookiee (mention only)
Bianca di Angelo - Ahsoka (Tano) Durron (deceased), Witch of Dathomir (mention only)
Ethan Nakamura - Soontir Fel (deceased), martyr (mention only)
Kampé - Ysanne Isard (immortal), former warden
Theseus - Andur Sunrider (deceased), Jedi demigod (mention only)
Minos - Exar Kun (deceased), king (mention only)
Daedalus - Vodo Siosk-Baas (deceased), creator of the Graveyard (mention only)
Boreas - Thrawn (immortal), god of winter (mention only)
Mellie - Jysella (age unknown), Melodie (mention only)
Hypnos - Morichro (immortal), god of sleep (mention only)
Alcyoneus - Shedao Shai (immortal), Yuuzhan Vong (mention only)
Phineas - Q'Anilia (deceased), seer (mention only)
Locations:
Camp Jupiter - Imperial Remnant (mention only)
Camp Half-Blood - Jedi Praxeum
California - Outer Rim (mention only)
The Underworld - The Netherworld of the Force
Tartarus - The Maw (House of Night - Shadow World)
Greece - Corellia
Croatia - Borleias
Olympus - Tython (mention only)
New York - Coruscant (Long Island - Centax)
Alaska - Hoth (mention only)
Vancouver - Nirauan (mention only)
Manhattan - Galactic City (mention only)
Rome - Old Bastion (mention only)
Ogygia - Mortis
Chaos - Depths of Eternity
Argo II- Millennium Falcon
Species:
Human - Human (Mortal - Mundane)
Satyr - Corellian
Olympian - Je'daii
Gigantes - Yuuzhan Vong
Titan - Sith
Empousa - Anzati
Maeonian drakon - Dagoban dragonsnake
Argonaut - Revanchist
Pegasus - Aiwha
Earthborn - Rakghoul
Harpy - Omwati
Nymph - Melodie
Anemoi - Joiner
Horse - Uvak
Automaton - Droid
Gorgon - Dathomirian (mention only)
Telekhine - Noghri
Boread - Chiss
Lar - Force spirit
Katobleps - Reek
Karpoi - Ewok
Arai - Defel
Anemoi thuelae / Ventus - Pazhkic Yuuzhan'tar al'tirrna / Dhuryam
Ourae - Hutt
Kerkopes - Squib
Eidolon - Vagaari
Lemures - Spirit
Dracanae - Killik
Laestrygonian - Gundark
Erinyes - Nightsister (mention only)
Turtle - Tortapo
Protogenoi - Celestials