Finite Group Databasebeta

← Group #10592292

Character table — Group #10592292

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222222224444444888888121212122424112222222224444444888888121212122424112222222224444444888888121212122424
order1223446881212681224242424246612121616161644366312126242412126241224242424612661212484848481212366312126242412126241224242424612661212484848481212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1111111111111111111-1-1-1-1-1-11111-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111
χ511-11-11111-1-1-1-1111-1-11-111-1-111-1-11-111-11-11111-1-1-1-1111-1-11-111-1-111-1-11-111-11-11111-1-1-1-1111-1-11-111-1-111-1-11-1
χ611-11-11111-1-1-1-1111-1-11-111-1-1-1-111-1111-11-11111-1-1-1-1111-1-11-111-1-1-1-111-1111-11-11111-1-1-1-1111-1-11-111-1-1-1-111-11
χ711-11-11111-1-1-1-1111-1-1-11-1-11111-1-1-1111-11-11111-1-1-1-1111-1-1-11-1-11111-1-1-1111-11-11111-1-1-1-1111-1-1-11-1-11111-1-1-11
χ811-11-11111-1-1-1-1111-1-1-11-1-111-1-1111-111-11-11111-1-1-1-1111-1-1-11-1-111-1-1111-111-11-11111-1-1-1-1111-1-1-11-1-111-1-1111-1
χ92222222-2-2222-22-2-2-2-20000000000002222222-2-2222-22-2-2-2-20000000000002222222-2-2222-22-2-2-2-2000000000000
χ102222-2-2200-2-220-200000000002−22−2002222-2-2200-2-220-200000000002−22−2002222-2-2200-2-220-200000000002−22−200
χ112222-2-2200-2-220-20000000000−22−22002222-2-2200-2-220-20000000000−22−22002222-2-2200-2-220-20000000000−22−2200
χ12222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000
χ13222-122-122-1-1-12-1-1-1-1-1-2-21111000000222-122-122-1-1-12-1-1-1-1-1-2-21111000000222-122-122-1-1-12-1-1-1-1-1-2-21111000000
χ14222-122-1-2-2-1-1-1-2-1111100−i3i3−i3i3000000222-122-1-2-2-1-1-1-2-1111100−i3i3−i3i3000000222-122-1-2-2-1-1-1-2-1111100−i3i3−i3i3000000
χ15222-122-1-2-2-1-1-1-2-1111100i3−i3i3−i3000000222-122-1-2-2-1-1-1-2-1111100i3−i3i3−i3000000222-122-1-2-2-1-1-1-2-1111100i3−i3i3−i3000000
χ1622-222-220022-20-200000000002−2−220022-222-220022-20-200000000002−2−220022-222-220022-20-200000000002−2−2200
χ1722-222-220022-20-20000000000−222−20022-222-220022-20-20000000000−222−20022-222-220022-20-20000000000−222−200
χ1822-22-222-2-2-2-2-222-2-22200000000000022-22-222-2-2-2-2-222-2-22200000000000022-22-222-2-2-2-2-222-2-222000000000000
χ1922-2-1-22-122111-2-1-1-1112-2-1-11100000022-2-1-22-122111-2-1-1-1112-2-1-11100000022-2-1-22-122111-2-1-1-1112-2-1-111000000
χ2022-2-1-22-122111-2-1-1-111-2211-1-100000022-2-1-22-122111-2-1-1-111-2211-1-100000022-2-1-22-122111-2-1-1-111-2211-1-1000000
χ2122-2-1-22-1-2-21112-111-1-100−i3i3i3−i300000022-2-1-22-1-2-21112-111-1-100−i3i3i3−i300000022-2-1-22-1-2-21112-111-1-100−i3i3i3−i3000000
χ2222-2-1-22-1-2-21112-111-1-100i3−i3−i3i300000022-2-1-22-1-2-21112-111-1-100i3−i3−i3i300000022-2-1-22-1-2-21112-111-1-100i3−i3−i3i3000000
χ23444-2-4-4-20022-2020000000000000000444-2-4-4-20022-2020000000000000000444-2-4-4-20022-2020000000000000000
χ2444-4-24-4-200-2-2202000000000000000044-4-24-4-200-2-2202000000000000000044-4-24-4-200-2-22020000000000000000
χ254-40400-422−220000022−22000000000000004-40400-422−220000022−22000000000000004-40400-422−220000022−2200000000000000
χ264-40400-4−222200000−2222000000000000004-40400-4−222200000−2222000000000000004-40400-4−222200000−222200000000000000
χ274-40-200222−2223−23000−226−60000000000004-40-200222−2223−23000−226−60000000000004-40-200222−2223−23000−226−6000000000000
χ284-40-200222−22−2323000−22−660000000000004-40-200222−22−2323000−22−660000000000004-40-200222−22−2323000−22−66000000000000
χ294-40-2002−222223−230002−2−660000000000004-40-2002−222223−230002−2−660000000000004-40-2002−222223−230002−2−66000000000000
χ304-40-2002−2222−23230002−26−60000000000004-40-2002−2222−23230002−26−60000000000004-40-2002−2222−23230002−26−6000000000000
χ31111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ32111111111111111111111111-1-1-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32
χ33111111111111111111-1-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ34111111111111111111-1-1-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ3511-11-11111-1-1-1-1111-1-11-111-1-111-1-11-1−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ3611-11-11111-1-1-1-1111-1-11-111-1-1-1-111-11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ3711-11-11111-1-1-1-1111-1-1-11-1-11111-1-1-11−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32
χ3811-11-11111-1-1-1-1111-1-1-11-1-111-1-1111-1−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32
χ392222222-2-2222-22-2-2-2-2000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i3000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i3000000000000
χ402222-2-2200-2-220-200000000002−22−200−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i301−i30000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i301+i30000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300
χ412222-2-2200-2-220-20000000000−22−2200−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i301−i30000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i301+i30000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300
χ42222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000
χ43222-122-122-1-1-12-1-1-1-1-1-2-21111000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000
χ44222-122-1-2-2-1-1-1-2-1111100−i3i3−i3i3000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i31−i32−1+i32−1+i32−1+i32−1+i32003+i32−3−i323+i32−3−i32000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i31+i32−1−i32−1−i32−1−i32−1−i3200−3+i323−i32−3+i323−i32000000
χ45222-122-1-2-2-1-1-1-2-1111100i3−i3i3−i3000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i31−i32−1+i32−1+i32−1+i32−1+i3200−3−i323+i32−3−i323+i32000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i31+i32−1−i32−1−i32−1−i32−1−i32003−i32−3+i323−i32−3+i32000000
χ4622-222-220022-20-200000000002−2−2200−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i300−1+i3−1+i31−i301−i30000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i300−1−i3−1−i31+i301+i30000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300
χ4722-222-220022-20-20000000000−222−200−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i300−1+i3−1+i31−i301−i30000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i300−1−i3−1−i31+i301+i30000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300
χ4822-22-222-2-2-2-2-222-2-222000000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3000000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3000000000000
χ4922-2-1-22-122111-2-1-1-1112-2-1-111000000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i3−1+i3−1+i32−1+i32−1+i321−i31−i321−i321−i32−1+i32−1+i32−1+i31−i31−i321−i32−1+i32−1+i32000000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i3−1−i3−1−i32−1−i32−1−i321+i31+i321+i321+i32−1−i32−1−i32−1−i31+i31+i321+i32−1−i32−1−i32000000
χ5022-2-1-22-122111-2-1-1-111-2211-1-1000000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i3−1+i3−1+i32−1+i32−1+i321−i31−i321−i321−i32−1+i32−1+i321−i3−1+i3−1+i32−1+i321−i321−i32000000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i3−1−i3−1−i32−1−i32−1−i321+i31+i321+i321+i32−1−i32−1−i321+i3−1−i3−1−i32−1−i321+i321+i32000000
χ5122-2-1-22-1-2-21112-111-1-100−i3i3i3−i3000000−1+i3−1+i31−i31−i321−i3−1+i31−i321−i31−i3−1+i32−1+i32−1+i32−1+i31−i32−1+i32−1+i321−i321−i32003+i32−3−i32−3−i323+i32000000−1−i3−1−i31+i31+i321+i3−1−i31+i321+i31+i3−1−i32−1−i32−1−i32−1−i31+i32−1−i32−1−i321+i321+i3200−3+i323−i323−i32−3+i32000000
χ5222-2-1-22-1-2-21112-111-1-100i3−i3−i3i3000000−1+i3−1+i31−i31−i321−i3−1+i31−i321−i31−i3−1+i32−1+i32−1+i32−1+i31−i32−1+i32−1+i321−i321−i3200−3−i323+i323+i32−3−i32000000−1−i3−1−i31+i31+i321+i3−1−i31+i321+i31+i3−1−i32−1−i32−1−i32−1−i31+i32−1−i32−1−i321+i321+i32003−i32−3+i32−3+i323−i32000000
χ53444-2-4-4-20022-2020000000000000000−2+2i3−2+2i3−2+2i31−i32−2i32−2i31−i300−1+i3−1+i31−i30−1+i30000000000000000−2−2i3−2−2i3−2−2i31+i32+2i32+2i31+i300−1−i3−1−i31+i30−1−i30000000000000000
χ5444-4-24-4-200-2-22020000000000000000−2+2i3−2+2i32−2i31−i3−2+2i32−2i31−i3001−i31−i3−1+i30−1+i30000000000000000−2−2i3−2−2i32+2i31+i3−2−2i32+2i31+i3001+i31+i3−1−i30−1−i30000000000000000
χ554-40400-422−220000022−2200000000000000−2+2i32−2i30−2+2i3002−2i32ζ5−2ζ23−2ζ5+2ζ23000002ζ5−2ζ23−2ζ5+2ζ2300000000000000−2−2i32+2i30−2−2i3002+2i3−2ζ7+2ζ132ζ7−2ζ1300000−2ζ7+2ζ132ζ7−2ζ1300000000000000
χ564-40400-4−222200000−222200000000000000−2+2i32−2i30−2+2i3002−2i3−2ζ5+2ζ232ζ5−2ζ2300000−2ζ5+2ζ232ζ5−2ζ2300000000000000−2−2i32+2i30−2−2i3002+2i32ζ7−2ζ13−2ζ7+2ζ13000002ζ7−2ζ13−2ζ7+2ζ1300000000000000
χ574-40-200222−2223−23000−226−6000000000000−2+2i32−2i301−i300−1+i32ζ5−2ζ23−2ζ5+2ζ23−2ζ14−4ζ222ζ14+4ζ22000−ζ5+ζ23ζ5−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23000000000000−2−2i32+2i301+i300−1−i3−2ζ7+2ζ132ζ7−2ζ134ζ14+2ζ22−4ζ14−2ζ22000ζ7−ζ13−ζ7+ζ13−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23000000000000
χ584-40-200222−22−2323000−22−66000000000000−2+2i32−2i301−i300−1+i32ζ5−2ζ23−2ζ5+2ζ232ζ14+4ζ22−2ζ14−4ζ22000−ζ5+ζ23ζ5−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23000000000000−2−2i32+2i301+i300−1−i3−2ζ7+2ζ132ζ7−2ζ13−4ζ14−2ζ224ζ14+2ζ22000ζ7−ζ13−ζ7+ζ132ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23000000000000
χ594-40-2002−222223−230002−2−66000000000000−2+2i32−2i301−i300−1+i3−2ζ5+2ζ232ζ5−2ζ23−2ζ14−4ζ222ζ14+4ζ22000ζ5−ζ23−ζ5+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23000000000000−2−2i32+2i301+i300−1−i32ζ7−2ζ13−2ζ7+2ζ134ζ14+2ζ22−4ζ14−2ζ22000−ζ7+ζ13ζ7−ζ132ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23000000000000
χ604-40-2002−2222−23230002−26−6000000000000−2+2i32−2i301−i300−1+i3−2ζ5+2ζ232ζ5−2ζ232ζ14+4ζ22−2ζ14−4ζ22000ζ5−ζ23−ζ5+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23000000000000−2−2i32+2i301+i300−1−i32ζ7−2ζ13−2ζ7+2ζ13−4ζ14−2ζ224ζ14+2ζ22000−ζ7+ζ13ζ7−ζ13−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23000000000000
χ61111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ62111111111111111111111111-1-1-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32
χ63111111111111111111-1-1-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ64111111111111111111-1-1-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ6511-11-11111-1-1-1-1111-1-11-111-1-111-1-11-1−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ6611-11-11111-1-1-1-1111-1-11-111-1-1-1-111-11−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ6711-11-11111-1-1-1-1111-1-1-11-1-11111-1-1-11−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32
χ6811-11-11111-1-1-1-1111-1-1-11-1-111-1-1111-1−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
χ692222222-2-2222-22-2-2-2-2000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i31+i3−1−i31+i31+i31+i31+i3000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i31−i3−1+i31−i31−i31−i31−i3000000000000
χ702222-2-2200-2-220-200000000002−22−200−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i301+i30000000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i301−i30000000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300
χ712222-2-2200-2-220-20000000000−22−2200−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i301+i30000000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i301−i30000000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300
χ72222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32000000
χ73222-122-122-1-1-12-1-1-1-1-1-2-21111000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32000000
χ74222-122-1-2-2-1-1-1-2-1111100−i3i3−i3i3000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i31+i32−1−i32−1−i32−1−i32−1−i3200−3+i323−i32−3+i323−i32000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i31−i32−1+i32−1+i32−1+i32−1+i32003+i32−3−i323+i32−3−i32000000
χ75222-122-1-2-2-1-1-1-2-1111100i3−i3i3−i3000000−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i31+i31+i321+i321+i321+i31+i32−1−i32−1−i32−1−i32−1−i32003−i32−3+i323−i32−3+i32000000−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i31−i31−i321−i321−i321−i31−i32−1+i32−1+i32−1+i32−1+i3200−3−i323+i32−3−i323+i32000000
χ7622-222-220022-20-200000000002−2−2200−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i300−1−i3−1−i31+i301+i30000000000−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i300−1+i3−1+i31−i301−i30000000000ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300
χ7722-222-220022-20-20000000000−222−200−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i300−1−i3−1−i31+i301+i30000000000ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i300−1+i3−1+i31−i301−i30000000000−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300
χ7822-22-222-2-2-2-2-222-2-222000000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i31+i31+i31+i3−1−i3−1−i31+i31+i3−1−i3−1−i3000000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i31−i31−i31−i3−1+i3−1+i31−i31−i3−1+i3−1+i3000000000000
χ7922-2-1-22-122111-2-1-1-1112-2-1-111000000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i3−1−i3−1−i32−1−i32−1−i321+i31+i321+i321+i32−1−i32−1−i32−1−i31+i31+i321+i32−1−i32−1−i32000000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i3−1+i3−1+i32−1+i32−1+i321−i31−i321−i321−i32−1+i32−1+i32−1+i31−i31−i321−i32−1+i32−1+i32000000
χ8022-2-1-22-122111-2-1-1-111-2211-1-1000000−1−i3−1−i31+i31+i321+i3−1−i31+i32−1−i3−1−i3−1−i32−1−i32−1−i321+i31+i321+i321+i32−1−i32−1−i321+i3−1−i3−1−i32−1−i321+i321+i32000000−1+i3−1+i31−i31−i321−i3−1+i31−i32−1+i3−1+i3−1+i32−1+i32−1+i321−i31−i321−i321−i32−1+i32−1+i321−i3−1+i3−1+i32−1+i321−i321−i32000000
χ8122-2-1-22-1-2-21112-111-1-100−i3i3i3−i3000000−1−i3−1−i31+i31+i321+i3−1−i31+i321+i31+i3−1−i32−1−i32−1−i32−1−i31+i32−1−i32−1−i321+i321+i3200−3+i323−i323−i32−3+i32000000−1+i3−1+i31−i31−i321−i3−1+i31−i321−i31−i3−1+i32−1+i32−1+i32−1+i31−i32−1+i32−1+i321−i321−i32003+i32−3−i32−3−i323+i32000000
χ8222-2-1-22-1-2-21112-111-1-100i3−i3−i3i3000000−1−i3−1−i31+i31+i321+i3−1−i31+i321+i31+i3−1−i32−1−i32−1−i32−1−i31+i32−1−i32−1−i321+i321+i32003−i32−3+i32−3+i323−i32000000−1+i3−1+i31−i31−i321−i3−1+i31−i321−i31−i3−1+i32−1+i32−1+i32−1+i31−i32−1+i32−1+i321−i321−i3200−3−i323+i323+i32−3−i32000000
χ83444-2-4-4-20022-2020000000000000000−2−2i3−2−2i3−2−2i31+i32+2i32+2i31+i300−1−i3−1−i31+i30−1−i30000000000000000−2+2i3−2+2i3−2+2i31−i32−2i32−2i31−i300−1+i3−1+i31−i30−1+i30000000000000000
χ8444-4-24-4-200-2-22020000000000000000−2−2i3−2−2i32+2i31+i3−2−2i32+2i31+i3001+i31+i3−1−i30−1−i30000000000000000−2+2i3−2+2i32−2i31−i3−2+2i32−2i31−i3001−i31−i3−1+i30−1+i30000000000000000
χ854-40400-422−220000022−2200000000000000−2−2i32+2i30−2−2i3002+2i3−2ζ7+2ζ132ζ7−2ζ1300000−2ζ7+2ζ132ζ7−2ζ1300000000000000−2+2i32−2i30−2+2i3002−2i32ζ5−2ζ23−2ζ5+2ζ23000002ζ5−2ζ23−2ζ5+2ζ2300000000000000
χ864-40400-4−222200000−222200000000000000−2−2i32+2i30−2−2i3002+2i32ζ7−2ζ13−2ζ7+2ζ13000002ζ7−2ζ13−2ζ7+2ζ1300000000000000−2+2i32−2i30−2+2i3002−2i3−2ζ5+2ζ232ζ5−2ζ2300000−2ζ5+2ζ232ζ5−2ζ2300000000000000
χ874-40-200222−2223−23000−226−6000000000000−2−2i32+2i301+i300−1−i3−2ζ7+2ζ132ζ7−2ζ134ζ14+2ζ22−4ζ14−2ζ22000ζ7−ζ13−ζ7+ζ13−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23000000000000−2+2i32−2i301−i300−1+i32ζ5−2ζ23−2ζ5+2ζ23−2ζ14−4ζ222ζ14+4ζ22000−ζ5+ζ23ζ5−ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23000000000000
χ884-40-200222−22−2323000−22−66000000000000−2−2i32+2i301+i300−1−i3−2ζ7+2ζ132ζ7−2ζ13−4ζ14−2ζ224ζ14+2ζ22000ζ7−ζ13−ζ7+ζ132ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23000000000000−2+2i32−2i301−i300−1+i32ζ5−2ζ23−2ζ5+2ζ232ζ14+4ζ22−2ζ14−4ζ22000−ζ5+ζ23ζ5−ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23000000000000
χ894-40-2002−222223−230002−2−66000000000000−2−2i32+2i301+i300−1−i32ζ7−2ζ13−2ζ7+2ζ134ζ14+2ζ22−4ζ14−2ζ22000−ζ7+ζ13ζ7−ζ132ζ5+ζ7+ζ13+2ζ23−2ζ5−ζ7−ζ13−2ζ23000000000000−2+2i32−2i301−i300−1+i3−2ζ5+2ζ232ζ5−2ζ23−2ζ14−4ζ222ζ14+4ζ22000ζ5−ζ23−ζ5+ζ23−ζ5−2ζ7−2ζ13−ζ23ζ5+2ζ7+2ζ13+ζ23000000000000
χ904-40-2002−2222−23230002−26−6000000000000−2−2i32+2i301+i300−1−i32ζ7−2ζ13−2ζ7+2ζ13−4ζ14−2ζ224ζ14+2ζ22000−ζ7+ζ13ζ7−ζ13−2ζ5−ζ7−ζ13−2ζ232ζ5+ζ7+ζ13+2ζ23000000000000−2+2i32−2i301−i300−1+i3−2ζ5+2ζ232ζ5−2ζ232ζ14+4ζ22−2ζ14−4ζ22000ζ5−ζ23−ζ5+ζ23ζ5+2ζ7+2ζ13+ζ23−ζ5−2ζ7−2ζ13−ζ23000000000000

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