Finite Group Databasebeta

← Group #13138813

Character table — Group #13138813

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size111122222222224444446666666666666666666612121212121212121212121212121212121212121212181818181818181818181818181818181818181818181818727272727272727272727272
order12223446668888121224242424336666661212121224242424242424243666121212121212242424242424242424242424444488881212121212121212242424242424242444441212121212121212
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
χ9222222222222222222222-12-122-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000220000-1-1-1-1
χ10222222222222222222222-12-122-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000-2-200001111
χ1122222222222222222222-12-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1222222222222222222222-12-12-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-12-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ132222222222-2-2-2-222-2-2-2-22-12-122-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1111111111111000000000000000000000000002-20000-1-111
χ142222222222-2-2-2-222-2-2-2-22-12-122-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000-22000011-1-1
χ152222222222-2-2-2-222-2-2-2-2-12-12-1-122-1-1-1-111111111-1-1-1-12-1-12-1-1-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ162222222222-2-2-2-222-2-2-2-2-12-12-1-122-1-1-1-111111111-1-1-1-12-1-12-1-1-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
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
χ1922222-2-22220000-2-20000-12-12-1-12211113333−3−3−3−3-1-1-1-1-211-21100003333−3−3−3−322-2-20000-1-1-1-111113333−3−3−3−3000000000000
χ2022222-2-22220000-2-20000-12-12-1-12211113333−3−3−3−3-1-1-1-1-211-21100003333−3−3−3−3-2-22200001111-1-1-1-1−3−3−3−33333000000000000
χ2122222-2-22220000-2-20000-12-12-1-1221111−3−3−3−33333-1-1-1-1-211-2110000−3−3−3−3333322-2-20000-1-1-1-11111−3−3−3−33333000000000000
χ2222222-2-22220000-2-20000-12-12-1-1221111−3−3−3−33333-1-1-1-1-211-2110000−3−3−3−33333-2-22200001111-1-1-1-13333−3−3−3−3000000000000
χ2322-2-222-22-2-222-2-2-2222-2-22222-2-2-2-222-2-222-2-222-2-22-2-22-2-2-222222-2-222-2-222-2-2000000000000000000000000000000000000
χ2422-2-222-22-2-222-2-2-2222-2-22-12-1-2-21122-2-222-2-222-2-2-111-1111-1-1-1-1-111-1-111-1-111000000000000000000000000000000003−33−3
χ2522-2-222-22-2-222-2-2-2222-2-22-12-1-2-21122-2-222-2-222-2-2-111-1111-1-1-1-1-111-1-111-1-11100000000000000000000000000000000−33−33
χ2622-2-222-22-2-222-2-2-2222-2-2-12-1211-2-2-1-111-1-111-1-111-111-1-2112-1-122-2-2-1-111-1-1110000000033−3−333−3−333−3−333−3−3000000000000
χ2722-2-222-22-2-222-2-2-2222-2-2-12-1211-2-2-1-111-1-111-1-111-111-1-2112-1-122-2-2-1-111-1-11100000000−3−333−3−333−3−333−3−333000000000000
χ2822-2-222-22-2-2-2-222-22-2-2222222-2-2-2-222-2-2-2-222-2-2222-2-22-2-2-2222-2-222-2-222-2-222000000000000000000000000000000000000
χ2922-2-222-22-2-2-2-222-22-2-2222-12-1-2-21122-2-2-2-222-2-222-111-1111-1-1-111-1-111-1-111-1-1000000000000000000000000000000003−3−33
χ3022-2-222-22-2-2-2-222-22-2-2222-12-1-2-21122-2-2-2-222-2-222-111-1111-1-1-111-1-111-1-111-1-100000000000000000000000000000000−333−3
χ3122-2-222-22-2-2-2-222-22-2-222-12-1211-2-2-1-11111-1-111-1-1-111-1-2112-1-1-2-22211-1-111-1-10000000033−3−333−3−3−3−333−3−333000000000000
χ3222-2-222-22-2-2-2-222-22-2-222-12-1211-2-2-1-11111-1-111-1-1-111-1-2112-1-1-2-22211-1-111-1-100000000−3−333−3−33333−3−333−3−3000000000000
χ3322-2-22-222-2-200002-200002222-2-2-2-2-2-222000000002-2-22222-2-2-2000000000000000022-2-20000000022-2-2-2-222000000000000
χ3422-2-22-222-2-200002-200002222-2-2-2-2-2-222000000002-2-22222-2-2-20000000000000000-2-22200000000-2-22222-2-2000000000000
χ3522-2-22-222-2-200002-20000-12-1211-2-211-1-133−3−3−3−333-111-12-1-1-211000033−3−3−3−333000022-2-2−3−33333−3−3-1-11111-1-1000000000000
χ3622-2-22-222-2-200002-20000-12-1211-2-211-1-133−3−3−3−333-111-12-1-1-211000033−3−3−3−3330000-2-22233−3−3−3−33311-1-1-1-111000000000000
χ3722-2-22-222-2-200002-20000-12-1211-2-211-1-1−3−33333−3−3-111-12-1-1-2110000−3−33333−3−3000022-2-233−3−3−3−333-1-11111-1-1000000000000
χ3822-2-22-222-2-200002-20000-12-1211-2-211-1-1−3−33333−3−3-111-12-1-1-2110000−3−33333−3−30000-2-222−3−33333−3−311-1-1-1-111000000000000
χ392-22-2200-22-2−i2i2−i2i200−i2i2−i2i222-2-22-22-20000−i2i2−i2i2−i2i2−i2i222-2-2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2002-2−i2i2−i2i200002-22-2−i2i2−i2i2−i2i2−i2i2000000000000
χ402-22-2200-22-2−i2i2−i2i200−i2i2−i2i222-2-22-22-20000−i2i2−i2i2−i2i2−i2i222-2-2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200-22i2−i2i2−i20000-22-22i2−i2i2−i2i2−i2i2−i2000000000000
χ412-22-2200-22-2−i2i2−i2i200−i2i2−i2i2-121-2-112-23−33−3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-1-11103−303−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23002-2−i2i2−i2i23−33−3-11-11ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ422-22-2200-22-2−i2i2−i2i200−i2i2−i2i2-121-2-112-23−33−3ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-1-11103−303−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ2300-22i2−i2i2−i2−33−331-11-1−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ432-22-2200-22-2−i2i2−i2i200−i2i2−i2i2-121-2-112-2−33−33ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7-1-1110−330−33−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7002-2−i2i2−i2i2−33−33-11-11ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ442-22-2200-22-2−i2i2−i2i200−i2i2−i2i2-121-2-112-2−33−33ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7-1-1110−330−33−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ700-22i2−i2i2−i23−33−31-11-1−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ452-22-2200-22-2i2−i2i2−i200i2−i2i2−i222-2-22-22-20000i2−i2i2−i2i2−i2i2−i222-2-2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2002-2i2−i2i2−i200002-22-2i2−i2i2−i2i2−i2i2−i2000000000000
χ462-22-2200-22-2i2−i2i2−i200i2−i2i2−i222-2-22-22-20000i2−i2i2−i2i2−i2i2−i222-2-2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200-22−i2i2−i2i20000-22-22−i2i2−i2i2−i2i2−i2i2000000000000
χ472-22-2200-22-2i2−i2i2−i200i2−i2i2−i2-121-2-112-23−33−3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-1-11103−303−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23002-2i2−i2i2−i23−33−3-11-11−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ482-22-2200-22-2i2−i2i2−i200i2−i2i2−i2-121-2-112-23−33−3−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-1-11103−303−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ2300-22−i2i2−i2i2−33−331-11-1ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ492-22-2200-22-2i2−i2i2−i200i2−i2i2−i2-121-2-112-2−33−33−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7-1-1110−330−33i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7002-2i2−i2i2−i2−33−33-11-11−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ502-22-2200-22-2i2−i2i2−i200i2−i2i2−i2-121-2-112-2−33−33−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7-1-1110−330−33i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ700-22−i2i2−i2i23−33−31-11-1ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ512-2-22200-2-22−i2i2i2−i200−i2i2i2−i222-2-2-22-220000−i2i2i2−i2−i2i2i2−i22-22-2000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i22-200−i2i2i2−i22-2-220000−i2i2i2−i2i2−i2−i2i2000000000000
χ522-2-22200-2-22−i2i2i2−i200−i2i2i2−i222-2-2-22-220000−i2i2i2−i2−i2i2i2−i22-22-2000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2-2200i2−i2−i2i2-222-20000i2−i2−i2i2−i2i2i2−i2000000000000
χ532-2-22200-2-22−i2i2i2−i200−i2i2i2−i2-121-21-1-223−3−33ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23-11-110−3303−3−i2i2i2−i2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ232-200−i2i2i2−i2-111-1−333−3ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ542-2-22200-2-22−i2i2i2−i200−i2i2i2−i2-121-21-1-223−3−33ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23-11-110−3303−3−i2i2i2−i2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23-2200i2−i2−i2i21-1-113−3−33−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ552-2-22200-2-22−i2i2i2−i200−i2i2i2−i2-121-21-1-22−333−3ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7-11-1103−30−33−i2i2i2−i2ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ72-200−i2i2i2−i2-111-13−3−33ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7000000000000
χ562-2-22200-2-22−i2i2i2−i200−i2i2i2−i2-121-21-1-22−333−3ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7-11-1103−30−33−i2i2i2−i2ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7-2200i2−i2−i2i21-1-11−333−3−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ572-2-22200-2-22i2−i2−i2i200i2−i2−i2i222-2-2-22-220000i2−i2−i2i2i2−i2−i2i22-22-2000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i22-200i2−i2−i2i22-2-220000i2−i2−i2i2−i2i2i2−i2000000000000
χ582-2-22200-2-22i2−i2−i2i200i2−i2−i2i222-2-2-22-220000i2−i2−i2i2i2−i2−i2i22-22-2000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2-2200−i2i2i2−i2-222-20000−i2i2i2−i2i2−i2−i2i2000000000000
χ592-2-22200-2-22i2−i2−i2i200i2−i2−i2i2-121-21-1-223−3−33−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23-11-110−3303−3i2−i2−i2i2−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ232-200i2−i2−i2i2-111-1−333−3−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23000000000000
χ602-2-22200-2-22i2−i2−i2i200i2−i2−i2i2-121-21-1-223−3−33−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23-11-110−3303−3i2−i2−i2i2−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23-2200−i2i2i2−i21-1-113−3−33ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23000000000000
χ612-2-22200-2-22i2−i2−i2i200i2−i2−i2i2-121-21-1-22−333−3−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7-11-1103−30−33i2−i2−i2i2−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ72-200i2−i2−i2i2-111-13−3−33−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7000000000000
χ622-2-22200-2-22i2−i2−i2i200i2−i2−i2i2-121-21-1-22−333−3−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7-11-1103−30−33i2−i2−i2i2−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7-2200−i2i2i2−i21-1-11−333−3ζ13+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
χ6544444-4-44440000-4-400004-24-244-2-2-4-4-4-400000000-2-2-2-2222222000000000000000000000000000000000000000000000000
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
χ6844-4-444-44-4-444-4-4-4444-4-4-2-2-2-22222-2-222-2-222-2-2221-1-112-1-1-211-2-22211-1-111-1-1000000000000000000000000000000000000
χ6944-4-444-44-4-4-4-444-44-4-444-2-2-2-22222-2-22222-2-222-2-21-1-112-1-1-21122-2-2-1-111-1-111000000000000000000000000000000000000
χ7044-4-44-444-4-400004-400004-24-2-4-422-4-44400000000-222-2-2-2-2222000000000000000000000000000000000000000000000000
χ7144-4-44-444-4-400004-40000-2-2-2-2222222-2-22323−23−23−23−2323231-1-11-2112-1-10000−3−33333−3−3000000000000000000000000000000000000
χ7244-4-44-444-4-400004-40000-2-2-2-2222222-2-2−23−2323232323−23−231-1-11-2112-1-1000033−3−3−3−333000000000000000000000000000000000000
χ734-44-4400-44-4−2i22i2−2i22i200−2i22i2−2i22i24-2-424-4-220000−2i22i2−2i22i2−2i22i2−2i22i2-2-222000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000000000000000
χ744-44-4400-44-4−2i22i2−2i22i200−2i22i2−2i22i2-2-222-22-2223−2323−232ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ2311-1-10−330−33i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23000000000000000000000000000000000000
χ754-44-4400-44-4−2i22i2−2i22i200−2i22i2−2i22i2-2-222-22-22−2323−23232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ711-1-103−303−3i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7000000000000000000000000000000000000
χ764-44-4400-44-42i2−2i22i2−2i2002i2−2i22i2−2i24-2-424-4-2200002i2−2i22i2−2i22i2−2i22i2−2i2-2-222000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000000000000000
χ774-44-4400-44-42i2−2i22i2−2i2002i2−2i22i2−2i2-2-222-22-2223−2323−23−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ2311-1-10−330−33−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23000000000000000000000000000000000000
χ784-44-4400-44-42i2−2i22i2−2i2002i2−2i22i2−2i2-2-222-22-22−2323−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−2ζ5−2ζ72ζ5+2ζ711-1-103−303−3−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7000000000000000000000000000000000000
χ794-4-44400-4-44−2i22i22i2−2i200−2i22i22i2−2i24-2-42-442-20000−2i22i22i2−2i2−2i22i22i2−2i2-22-22000000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2000000000000000000000000000000000000
χ804-4-44400-4-44−2i22i22i2−2i200−2i22i22i2−2i2-2-2222-22-223−23−23232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ72ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ231-11-103−30−33i2−i2−i2i2−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23000000000000000000000000000000000000
χ814-4-44400-4-44−2i22i22i2−2i200−2i22i22i2−2i2-2-2222-22-2−232323−232ζ13+2ζ23−2ζ13−2ζ23−2ζ13−2ζ232ζ13+2ζ232ζ5+2ζ7−2ζ5−2ζ7−2ζ5−2ζ72ζ5+2ζ71-11-10−3303−3i2−i2−i2i2−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7000000000000000000000000000000000000
χ824-4-44400-4-442i2−2i2−2i22i2002i2−2i2−2i22i24-2-42-442-200002i2−2i2−2i22i22i2−2i2−2i22i2-22-22000000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2000000000000000000000000000000000000
χ834-4-44400-4-442i2−2i2−2i22i2002i2−2i2−2i22i2-2-2222-22-223−23−2323−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ7−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ231-11-103−30−33−i2i2i2−i2ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23000000000000000000000000000000000000
χ844-4-44400-4-442i2−2i2−2i22i2002i2−2i2−2i22i2-2-2222-22-2−232323−23−2ζ13−2ζ232ζ13+2ζ232ζ13+2ζ23−2ζ13−2ζ23−2ζ5−2ζ72ζ5+2ζ72ζ5+2ζ7−2ζ5−2ζ71-11-10−3303−3−i2i2i2−i2ζ13+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
χ8966-6-6-36-6-33366-6-63-3-3-33300000000000000000000000000000000000000000000000000000000000000000000003−33−30000
χ9066-6-6-36-6-33366-6-63-3-3-3330000000000000000000000000000000000000000000000000000000000000000000000−33−330000
χ9166-6-6-36-6-333-6-6663-333-3-300000000000000000000000000000000000000000000000000000000000000000000003−3−330000
χ9266-6-6-36-6-333-6-6663-333-3-30000000000000000000000000000000000000000000000000000000000000000000000−333−30000
χ9312121212-6-12-12-6-6-60000660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ941212-12-12-6-1212-6660000-660000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9512-1212-12-6006-66−6i26i2−6i26i2003i2−3i23i2−3i2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9612-1212-12-6006-666i2−6i26i2−6i200−3i23i2−3i23i2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-12-1212-60066-6−6i26i26i2−6i2003i2−3i2−3i23i2000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-12-1212-60066-66i2−6i2−6i26i200−3i23i23i2−3i2000000000000000000000000000000000000000000000000000000000000000000000000000000

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