Finite Group Databasebeta

← Group #13138982

Character table — Group #13138982

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size111122222222224444446666666666666666666612121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818727272727272727272727272
order122234466688881212242424243366666612121212242424242424242436661212121212122424242424242424242424244444888812121212121212122424242424242424222266666666
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-111-1-111-1-1
χ61111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-111-1-111
χ71111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-1-1111-1-1-1-111
χ81111111111-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-111-1-1-11111-1-1
χ9222222222222222222222-1-1-12-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000220000-1-1-1-1
χ10222222222222222222222-1-1-12-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-200001111
χ1122222222222222222222-1222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1222222222222222222222-1222-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ132222222222-2-2-2-222-2-2-2-22-1-1-12-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000002-20000-1-111
χ142222222222-2-2-2-222-2-2-2-22-1-1-12-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000-22000011-1-1
χ152222222222-2-2-2-222-2-2-2-2-1222-12-1-1-1-1-1-111111111-1-1-1-12-1-12-1-1-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ162222222222-2-2-2-222-2-2-2-2-1222-12-1-1-1-1-1-111111111-1-1-1-12-1-12-1-1-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ1722222-2-22220000-2-2000022222222-2-2-2-2000000002222-2-2-2-2-2-200000000000022-2-200002222-2-2-2-200000000000000000000
χ1822222-2-22220000-2-2000022222222-2-2-2-2000000002222-2-2-2-2-2-2000000000000-2-2220000-2-2-2-2222200000000000000000000
χ1922222-2-22220000-2-20000-1222-12-1-111113333−3−3−3−3-1-1-1-1-211-21100003333−3−3−3−322-2-20000-1-1-1-111113333−3−3−3−3000000000000
χ2022222-2-22220000-2-20000-1222-12-1-111113333−3−3−3−3-1-1-1-1-211-21100003333−3−3−3−3-2-22200001111-1-1-1-1−3−3−3−33333000000000000
χ2122222-2-22220000-2-20000-1222-12-1-11111−3−3−3−33333-1-1-1-1-211-2110000−3−3−3−3333322-2-20000-1-1-1-11111−3−3−3−33333000000000000
χ2222222-2-22220000-2-20000-1222-12-1-11111−3−3−3−33333-1-1-1-1-211-2110000−3−3−3−33333-2-22200001111-1-1-1-13333−3−3−3−3000000000000
χ2322-2-222-2-2-2222-2-2-2222-2-222-2-222-2-222-2-222-2-222-2-22-2-22-2-2-222222-2-222-2-222-2-2000000000000000000000000000000000000
χ2422-2-222-2-2-2222-2-2-2222-2-22-1112-1-2-222-2-222-2-222-2-2-111-1111-1-1-1-1-111-1-111-1-11100000000000000000000000000000000−i3i3−i3i3
χ2522-2-222-2-2-2222-2-2-2222-2-22-1112-1-2-222-2-222-2-222-2-2-111-1111-1-1-1-1-111-1-111-1-11100000000000000000000000000000000i3−i3i3−i3
χ2622-2-222-2-2-2222-2-2-2222-2-2-12-2-2-1211-1-111-1-111-1-111-111-1-2112-1-122-2-2-1-111-1-1110000000033−3−333−3−333−3−333−3−3000000000000
χ2722-2-222-2-2-2222-2-2-2222-2-2-12-2-2-1211-1-111-1-111-1-111-111-1-2112-1-122-2-2-1-111-1-11100000000−3−333−3−333−3−333−3−333000000000000
χ2822-2-222-2-2-22-2-222-22-2-22222-2-222-2-222-2-2-2-222-2-2222-2-22-2-2-2222-2-222-2-222-2-222000000000000000000000000000000000000
χ2922-2-222-2-2-22-2-222-22-2-2222-1112-1-2-222-2-2-2-222-2-222-111-1111-1-1-111-1-111-1-111-1-100000000000000000000000000000000−i3i3i3−i3
χ3022-2-222-2-2-22-2-222-22-2-2222-1112-1-2-222-2-2-2-222-2-222-111-1111-1-1-111-1-111-1-111-1-100000000000000000000000000000000i3−i3−i3i3
χ3122-2-222-2-2-22-2-222-22-2-222-12-2-2-1211-1-11111-1-111-1-1-111-1-2112-1-1-2-22211-1-111-1-10000000033−3−333−3−3−3−333−3−333000000000000
χ3222-2-222-2-2-22-2-222-22-2-222-12-2-2-1211-1-11111-1-111-1-1-111-1-2112-1-1-2-22211-1-111-1-100000000−3−333−3−33333−3−333−3−3000000000000
χ3322-2-22-22-2-2200002-2000022-2-222-2-2-2-222000000002-2-22222-2-2-2000000000000000022-2-20000000022-2-2-2-222000000000000
χ3422-2-22-22-2-2200002-2000022-2-222-2-2-2-222000000002-2-22222-2-2-20000000000000000-2-22200000000-2-22222-2-2000000000000
χ3522-2-22-22-2-2200002-20000-12-2-2-121111-1-133−3−3−3−333-111-12-1-1-211000033−3−3−3−333000022-2-2−3−33333−3−3-1-11111-1-1000000000000
χ3622-2-22-22-2-2200002-20000-12-2-2-121111-1-133−3−3−3−333-111-12-1-1-211000033−3−3−3−3330000-2-22233−3−3−3−33311-1-1-1-111000000000000
χ3722-2-22-22-2-2200002-20000-12-2-2-121111-1-1−3−33333−3−3-111-12-1-1-2110000−3−33333−3−3000022-2-233−3−3−3−333-1-11111-1-1000000000000
χ3822-2-22-22-2-2200002-20000-12-2-2-121111-1-1−3−33333−3−3-111-12-1-1-2110000−3−33333−3−30000-2-222−3−33333−3−311-1-1-1-111000000000000
χ392-22-22002-2-22−22−2002−22−2222-2-2-22-200002−22−22−22−222-2-20000002−22−22−22−22−22−2002-22−22−200002-22-22−22−22−22−2000000000000
χ402-22-22002-2-22−22−2002−22−2222-2-2-22-200002−22−22−22−222-2-20000002−22−22−22−22−22−200-22−22−220000-22-22−22−22−22−22000000000000
χ412-22-22002-2-22−22−2002−22−2-122-21-2-113−33−3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23-1-11103−303−32−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23002-22−22−23−33−3-11-11ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ422-22-22002-2-22−22−2002−22−2-122-21-2-113−33−3ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23-1-11103−303−32−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300-22−22−22−33−331-11-1−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ432-22-22002-2-22−22−2002−22−2-122-21-2-11−33−33ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7-1-1110−330−332−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7002-22−22−2−33−33-11-11ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23000000000000
χ442-22-22002-2-22−22−2002−22−2-122-21-2-11−33−33ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7-1-1110−330−332−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ700-22−22−223−33−31-11-1−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23000000000000
χ452-22-22002-2-2−22−2200−22−22222-2-2-22-20000−22−22−22−2222-2-2000000−22−22−22−22−22−22002-2−22−2200002-22-2−22−22−22−22000000000000
χ462-22-22002-2-2−22−2200−22−22222-2-2-22-20000−22−22−22−2222-2-2000000−22−22−22−22−22−2200-222−22−20000-22-222−22−22−22−2000000000000
χ472-22-22002-2-2−22−2200−22−22-122-21-2-113−33−3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23-1-11103−303−3−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23002-2−22−223−33−3-11-11−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ482-22-22002-2-2−22−2200−22−22-122-21-2-113−33−3−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23-1-11103−303−3−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300-222−22−2−33−331-11-1ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ492-22-22002-2-2−22−2200−22−22-122-21-2-11−33−33−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7-1-1110−330−33−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7002-2−22−22−33−33-11-11−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23000000000000
χ502-22-22002-2-2−22−2200−22−22-122-21-2-11−33−33−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7-1-1110−330−33−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ700-222−22−23−33−31-11-1ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23000000000000
χ512-2-22200-22-22−2−22002−2−2222-22-2-2-2200002−2−222−2−222-22-20000002−2−222−2−222−2−222-2002−2−22-222-200002−2−22−222−2000000000000
χ522-2-22200-22-22−2−22002−2−2222-22-2-2-2200002−2−222−2−222-22-20000002−2−222−2−222−2−22-2200−222−22-2-220000−222−22−2−22000000000000
χ532-2-22200-22-22−2−22002−2−22-12-221-21-13−3−33ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23-11-110−3303−32−2−22ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ232-2002−2−221-1-113−3−33ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23000000000000
χ542-2-22200-22-22−2−22002−2−22-12-221-21-13−3−33ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23-11-110−3303−32−2−22ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23-2200−222−2-111-1−333−3−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23000000000000
χ552-2-22200-22-22−2−22002−2−22-12-221-21-1−333−3ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7-11-1103−30−332−2−22ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ72-2002−2−221-1-11−333−3ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ562-2-22200-22-22−2−22002−2−22-12-221-21-1−333−3ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7-11-1103−30−332−2−22ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7-2200−222−2-111-13−3−33−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ572-2-22200-22-2−222−200−222−222-22-2-2-220000−222−2−222−22-22-2000000−222−2−222−2−222−22-200−222−2-222-20000−222−22−2−22000000000000
χ582-2-22200-22-2−222−200−222−222-22-2-2-220000−222−2−222−22-22-2000000−222−2−222−2−222−2-22002−2−222-2-2200002−2−22−222−2000000000000
χ592-2-22200-22-2−222−200−222−2-12-221-21-13−3−33−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23-11-110−3303−3−222−2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ232-200−222−21-1-113−3−33−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23000000000000
χ602-2-22200-22-2−222−200−222−2-12-221-21-13−3−33−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23-11-110−3303−3−222−2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23-22002−2−22-111-1−333−3ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23000000000000
χ612-2-22200-22-2−222−200−222−2-12-221-21-1−333−3−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7-11-1103−30−33−222−2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ72-200−222−21-1-11−333−3−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7000000000000
χ622-2-22200-22-2−222−200−222−2-12-221-21-1−333−3−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7-11-1103−30−33−222−2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7-22002−2−22-111-13−3−33ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7000000000000
χ6344444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-211-211-2-2-2-211111111000000000000000000000000000000000000
χ644444444444-4-4-4-444-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2222222221111-211-2112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ6544444-4-44440000-4-400004-2-2-24-244-4-4-4-400000000-2-2-2-2222222000000000000000000000000000000000000000000000000
χ6644444-4-44440000-4-40000-2-2-2-2-2-2-2-2222223232323−23−23−23−2311112-1-12-1-10000−3−3−3−33333000000000000000000000000000000000000
χ6744444-4-44440000-4-40000-2-2-2-2-2-2-2-22222−23−23−23−232323232311112-1-12-1-100003333−3−3−3−3000000000000000000000000000000000000
χ6844-4-444-4-4-4444-4-4-4444-4-4-2-222-2-222-2-222-2-222-2-2221-1-112-1-1-211-2-22211-1-111-1-1000000000000000000000000000000000000
χ6944-4-444-4-4-44-4-444-44-4-444-2-222-2-222-2-22222-2-222-2-21-1-112-1-1-21122-2-2-1-111-1-111000000000000000000000000000000000000
χ7044-4-44-44-4-4400004-400004-2224-2-4-4-4-44400000000-222-2-2-2-2222000000000000000000000000000000000000000000000000
χ7144-4-44-44-4-4400004-40000-2-222-2-22222-2-22323−23−23−23−2323231-1-11-2112-1-10000−3−33333−3−3000000000000000000000000000000000000
χ7244-4-44-44-4-4400004-40000-2-222-2-22222-2-2−23−2323232323−23−231-1-11-2112-1-1000033−3−3−3−333000000000000000000000000000000000000
χ734-44-44004-4-422−2222−220022−2222−224-2-22-424-4000022−2222−2222−2222−22-2-222000000−22−22−22−22−22−22000000000000000000000000000000000000
χ744-44-44004-4-422−2222−220022−2222−22-2-2-2222-2223−2323−232ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ2311-1-10−330−33−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23000000000000000000000000000000000000
χ754-44-44004-4-422−2222−220022−2222−22-2-2-2222-22−2323−23232ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ711-1-103−303−3−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7000000000000000000000000000000000000
χ764-44-44004-4-4−2222−222200−2222−22224-2-22-424-40000−2222−2222−2222−2222-2-2220000002−22−22−22−22−22−2000000000000000000000000000000000000
χ774-44-44004-4-4−2222−222200−2222−2222-2-2-2222-2223−2323−23−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ2311-1-10−330−332−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23000000000000000000000000000000000000
χ784-44-44004-4-4−2222−222200−2222−2222-2-2-2222-22−2323−2323−2ζ13+2ζ232ζ13−2ζ23−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ7−2ζ5+2ζ72ζ5−2ζ711-1-103−303−32−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7000000000000000000000000000000000000
χ794-4-44400-44-422−22−22220022−22−22224-22-2-42-44000022−22−222222−22−2222-22-22000000−222−2−222−2−222−2000000000000000000000000000000000000
χ804-4-44400-44-422−22−22220022−22−2222-2-22-2222-223−23−23232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ72ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ231-11-103−30−33−222−2−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23000000000000000000000000000000000000
χ814-4-44400-44-422−22−22220022−22−2222-2-22-2222-2−232323−232ζ13−2ζ23−2ζ13+2ζ23−2ζ13+2ζ232ζ13−2ζ232ζ5−2ζ7−2ζ5+2ζ7−2ζ5+2ζ72ζ5−2ζ71-11-10−3303−3−222−2−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ5+ζ7000000000000000000000000000000000000
χ824-4-44400-44-4−222222−2200−222222−224-22-2-42-440000−222222−22−222222−22-22-220000002−2−222−2−222−2−22000000000000000000000000000000000000
χ834-4-44400-44-4−222222−2200−222222−22-2-22-2222-223−23−2323−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ7−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ231-11-103−30−332−2−22ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23000000000000000000000000000000000000
χ844-4-44400-44-4−222222−2200−222222−22-2-22-2222-2−232323−23−2ζ13+2ζ232ζ13−2ζ232ζ13−2ζ23−2ζ13+2ζ23−2ζ5+2ζ72ζ5−2ζ72ζ5−2ζ7−2ζ5+2ζ71-11-10−3303−32−2−22ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ5−ζ7000000000000000000000000000000000000
χ856666-366-3-3-36666-3-3-3-3-3-30000000000000000000000000000000000000000000000000000000000000000002200-1-1-1-10000
χ866666-366-3-3-36666-3-3-3-3-3-3000000000000000000000000000000000000000000000000000000000000000000-2-20011110000
χ876666-366-3-3-3-6-6-6-6-3-333330000000000000000000000000000000000000000000000000000000000000000002-200-1-1110000
χ886666-366-3-3-3-6-6-6-6-3-33333000000000000000000000000000000000000000000000000000000000000000000-220011-1-10000
χ8966-6-6-36-633-366-6-63-3-3-3330000000000000000000000000000000000000000000000000000000000000000000000−i3i3−i3i30000
χ9066-6-6-36-633-366-6-63-3-3-3330000000000000000000000000000000000000000000000000000000000000000000000i3−i3i3−i30000
χ9166-6-6-36-633-3-6-6663-333-3-30000000000000000000000000000000000000000000000000000000000000000000000−i3i3i3−i30000
χ9266-6-6-36-633-3-6-6663-333-3-30000000000000000000000000000000000000000000000000000000000000000000000i3−i3−i3i30000
χ9312121212-6-12-12-6-6-60000660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ941212-12-12-6-121266-60000-660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-1212-12-600-66662−6262−6200−3232−3232000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9612-1212-12-600-666−6262−62620032−3232−32000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-12-1212-6006-6662−62−626200−323232−32000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-12-1212-6006-66−626262−620032−32−3232000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.