Finite Group Databasebeta

← Group #10591995

Character table — Group #10591995

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size112222222224444444888888121212122424112222222224444444888888121212122424112222222224444444888888121212122424
order1223446881212681224242424882424242424882436631212624241212624122424242424242424242461224246123663121262424121262412242424242424242424246122424612
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
χ51111111-1-1111-11-1-1-1-11-111-1-111-1-11-11111111-1-1111-11-1-1-1-11-111-1-111-1-11-11111111-1-1111-11-1-1-1-11-111-1-111-1-11-1
χ61111111-1-1111-11-1-1-1-11-111-1-1-1-111-111111111-1-1111-11-1-1-1-11-111-1-1-1-111-111111111-1-1111-11-1-1-1-11-111-1-1-1-111-11
χ71111111-1-1111-11-1-1-1-1-11-1-11111-1-1-111111111-1-1111-11-1-1-1-1-11-1-11111-1-1-111111111-1-1111-11-1-1-1-1-11-1-11111-1-1-11
χ81111111-1-1111-11-1-1-1-1-11-1-111-1-1111-11111111-1-1111-11-1-1-1-1-11-1-111-1-1111-11111111-1-1111-11-1-1-1-1-11-1-111-1-1111-1
χ92222-2-2200-2-220-20000000000002i−2i002222-2-2200-2-220-20000000000002i−2i002222-2-2200-2-220-20000000000002i−2i00
χ102222-2-2200-2-220-2000000000000−2i2i002222-2-2200-2-220-2000000000000−2i2i002222-2-2200-2-220-2000000000000−2i2i00
χ11222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000
χ12222-122-122-1-1-12-1-1-1-1-1-2-21111000000222-122-122-1-1-12-1-1-1-1-1-2-21111000000222-122-122-1-1-12-1-1-1-1-1-2-21111000000
χ13222-122-1-2-2-1-1-1-2-111112-2-1-111000000222-122-1-2-2-1-1-1-2-111112-2-1-111000000222-122-1-2-2-1-1-1-2-111112-2-1-111000000
χ14222-122-1-2-2-1-1-1-2-11111-2211-1-1000000222-122-1-2-2-1-1-1-2-11111-2211-1-1000000222-122-1-2-2-1-1-1-2-11111-2211-1-1000000
χ1522-222-220022-20-200000000002-2000022-222-220022-20-200000000002-2000022-222-220022-20-200000000002-20000
χ1622-222-220022-20-20000000000-22000022-222-220022-20-20000000000-22000022-222-220022-20-20000000000-220000
χ1722-22-22222-2-2-2-2222-2-200000000000022-22-22222-2-2-2-2222-2-200000000000022-22-22222-2-2-2-2222-2-2000000000000
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
χ1922-2-1-22-122111-2-1-1-111003−33−300000022-2-1-22-122111-2-1-1-111003−33−300000022-2-1-22-122111-2-1-1-111003−33−3000000
χ2022-2-1-22-122111-2-1-1-11100−33−3300000022-2-1-22-122111-2-1-1-11100−33−3300000022-2-1-22-122111-2-1-1-11100−33−33000000
χ2122-2-1-22-1-2-21112-111-1-1003−3−3300000022-2-1-22-1-2-21112-111-1-1003−3−3300000022-2-1-22-1-2-21112-111-1-1003−3−33000000
χ2222-2-1-22-1-2-21112-111-1-100−333−300000022-2-1-22-1-2-21112-111-1-100−333−300000022-2-1-22-1-2-21112-111-1-100−333−3000000
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
χ254-40400-4−2i22i200000−2i22i2000000000000004-40400-4−2i22i200000−2i22i2000000000000004-40400-4−2i22i200000−2i22i200000000000000
χ264-40400-42i2−2i2000002i2−2i2000000000000004-40400-42i2−2i2000002i2−2i2000000000000004-40400-42i2−2i2000002i2−2i200000000000000
χ274-40-2002−2i22i223−23000i2−i2i6−i60000000000004-40-2002−2i22i223−23000i2−i2i6−i60000000000004-40-2002−2i22i223−23000i2−i2i6−i6000000000000
χ284-40-2002−2i22i2−2323000i2−i2−i6i60000000000004-40-2002−2i22i2−2323000i2−i2−i6i60000000000004-40-2002−2i22i2−2323000i2−i2−i6i6000000000000
χ294-40-20022i2−2i223−23000−i2i2−i6i60000000000004-40-20022i2−2i223−23000−i2i2−i6i60000000000004-40-20022i2−2i223−23000−i2i2−i6i6000000000000
χ304-40-20022i2−2i2−2323000−i2i2i6−i60000000000004-40-20022i2−2i2−2323000−i2i2i6−i60000000000004-40-20022i2−2i2−2323000−i2i2i6−i6000000000000
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
χ351111111-1-1111-11-1-1-1-11-111-1-111-1-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32
χ361111111-1-1111-11-1-1-1-11-111-1-1-1-111-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ371111111-1-1111-11-1-1-1-1-11-1-11111-1-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32
χ381111111-1-1111-11-1-1-1-1-11-1-111-1-1111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32
χ392222-2-2200-2-220-20000000000002i−2i00−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i301−i30000000000002ζ14−2ζ1400−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i301+i30000000000002ζ22−2ζ2200
χ402222-2-2200-2-220-2000000000000−2i2i00−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i301−i3000000000000−2ζ142ζ1400−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i301+i3000000000000−2ζ222ζ2200
χ41222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000−1+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
χ42222-122-122-1-1-12-1-1-1-1-1-2-21111000000−1+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
χ43222-122-1-2-2-1-1-1-2-111112-2-1-111000000−1+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+i32−1+i31−i31−i321−i32−1+i32−1+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−i32−1−i31+i31+i321+i32−1−i32−1−i32000000
χ44222-122-1-2-2-1-1-1-2-11111-2211-1-1000000−1+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+i321−i3−1+i3−1+i32−1+i321−i321−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−i321+i3−1−i3−1−i32−1−i321+i321+i32000000
χ4522-222-220022-20-200000000002-20000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i300−1+i3−1+i31−i301−i30000000000−1+i31−i30000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i300−1−i3−1−i31+i301+i30000000000−1−i31+i30000
χ4622-222-220022-20-20000000000-220000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i300−1+i3−1+i31−i301−i300000000001−i3−1+i30000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i300−1−i3−1−i31+i301+i300000000001+i3−1−i30000
χ4722-22-22222-2-2-2-2222-2-2000000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3000000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3000000000000
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
χ4922-2-1-22-122111-2-1-1-111003−33−3000000−1+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+i3200−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22000000−1−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−i32002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22000000
χ5022-2-1-22-122111-2-1-1-11100−33−33000000−1+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+i3200ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22000000−1−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−i3200−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22000000
χ5122-2-1-22-1-2-21112-111-1-1003−3−33000000−1+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−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22000000−1−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+i32002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22000000
χ5222-2-1-22-1-2-21112-111-1-100−333−3000000−1+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−i3200ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22000000−1−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+i3200−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22000000
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
χ554-40400-4−2i22i200000−2i22i200000000000000−2+2i32−2i30−2+2i3002−2i32ζ5+2ζ23−2ζ5−2ζ23000002ζ5+2ζ23−2ζ5−2ζ2300000000000000−2−2i32+2i30−2−2i3002+2i32ζ7+2ζ13−2ζ7−2ζ13000002ζ7+2ζ13−2ζ7−2ζ1300000000000000
χ564-40400-42i2−2i2000002i2−2i200000000000000−2+2i32−2i30−2+2i3002−2i3−2ζ5−2ζ232ζ5+2ζ2300000−2ζ5−2ζ232ζ5+2ζ2300000000000000−2−2i32+2i30−2−2i3002+2i3−2ζ7−2ζ132ζ7+2ζ1300000−2ζ7−2ζ132ζ7+2ζ1300000000000000
χ574-40-2002−2i22i223−23000i2−i2i6−i6000000000000−2+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−i32ζ7+2ζ13−2ζ7−2ζ134ζ14+2ζ22−4ζ14−2ζ22000−ζ7−ζ13ζ7+ζ13−2ζ5+ζ7−ζ13+2ζ232ζ5−ζ7+ζ13−2ζ23000000000000
χ584-40-2002−2i22i2−2323000i2−i2−i6i6000000000000−2+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−i32ζ7+2ζ13−2ζ7−2ζ13−4ζ14−2ζ224ζ14+2ζ22000−ζ7−ζ13ζ7+ζ132ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23000000000000
χ594-40-20022i2−2i223−23000−i2i2−i6i6000000000000−2+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−i3−2ζ7−2ζ132ζ7+2ζ134ζ14+2ζ22−4ζ14−2ζ22000ζ7+ζ13−ζ7−ζ132ζ5−ζ7+ζ13−2ζ23−2ζ5+ζ7−ζ13+2ζ23000000000000
χ604-40-20022i2−2i2−2323000−i2i2i6−i6000000000000−2+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−i3−2ζ7−2ζ132ζ7+2ζ13−4ζ14−2ζ224ζ14+2ζ22000ζ7+ζ13−ζ7−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
χ651111111-1-1111-11-1-1-1-11-111-1-111-1-11-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i321−i32
χ661111111-1-1111-11-1-1-1-11-111-1-1-1-111-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ671111111-1-1111-11-1-1-1-1-11-1-11111-1-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i32
χ681111111-1-1111-11-1-1-1-1-11-1-111-1-1111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
χ692222-2-2200-2-220-20000000000002i−2i00−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i301+i30000000000002ζ22−2ζ2200−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i301−i30000000000002ζ14−2ζ1400
χ702222-2-2200-2-220-2000000000000−2i2i00−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3001+i31+i3−1−i301+i3000000000000−2ζ222ζ2200−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3001−i31−i3−1+i301−i3000000000000−2ζ142ζ1400
χ71222-122-122-1-1-12-1-1-1-1-122-1-1-1-1000000−1−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
χ72222-122-122-1-1-12-1-1-1-1-1-2-21111000000−1−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
χ73222-122-1-2-2-1-1-1-2-111112-2-1-111000000−1−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−i32−1−i31+i31+i321+i32−1−i32−1−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+i32−1+i31−i31−i321−i32−1+i32−1+i32000000
χ74222-122-1-2-2-1-1-1-2-11111-2211-1-1000000−1−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−i321+i3−1−i3−1−i32−1−i321+i321+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+i321−i3−1+i3−1+i32−1+i321−i321−i32000000
χ7522-222-220022-20-200000000002-20000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i300−1−i3−1−i31+i301+i30000000000−1−i31+i30000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i300−1+i3−1+i31−i301−i30000000000−1+i31−i30000
χ7622-222-220022-20-20000000000-220000−1−i3−1−i31+i3−1−i3−1−i31+i3−1−i300−1−i3−1−i31+i301+i300000000001+i3−1−i30000−1+i3−1+i31−i3−1+i3−1+i31−i3−1+i300−1+i3−1+i31−i301−i300000000001−i3−1+i30000
χ7722-22-22222-2-2-2-2222-2-2000000000000−1−i3−1−i31+i3−1−i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i3−1−i31+i31+i3000000000000−1+i3−1+i31−i3−1+i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i3−1+i31−i31−i3000000000000
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
χ7922-2-1-22-122111-2-1-1-111003−33−3000000−1−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−i32002ζ14+ζ22−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ22000000−1+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+i3200−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22000000
χ8022-2-1-22-122111-2-1-1-11100−33−33000000−1−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−i3200−2ζ14−ζ222ζ14+ζ22−2ζ14−ζ222ζ14+ζ22000000−1+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+i3200ζ14+2ζ22−ζ14−2ζ22ζ14+2ζ22−ζ14−2ζ22000000
χ8122-2-1-22-1-2-21112-111-1-1003−3−33000000−1−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+i32002ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22000000−1+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−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22000000
χ8222-2-1-22-1-2-21112-111-1-100−333−3000000−1−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+i3200−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22000000−1+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−i3200ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22000000
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
χ854-40400-4−2i22i200000−2i22i200000000000000−2−2i32+2i30−2−2i3002+2i32ζ7+2ζ13−2ζ7−2ζ13000002ζ7+2ζ13−2ζ7−2ζ1300000000000000−2+2i32−2i30−2+2i3002−2i32ζ5+2ζ23−2ζ5−2ζ23000002ζ5+2ζ23−2ζ5−2ζ2300000000000000
χ864-40400-42i2−2i2000002i2−2i200000000000000−2−2i32+2i30−2−2i3002+2i3−2ζ7−2ζ132ζ7+2ζ1300000−2ζ7−2ζ132ζ7+2ζ1300000000000000−2+2i32−2i30−2+2i3002−2i3−2ζ5−2ζ232ζ5+2ζ2300000−2ζ5−2ζ232ζ5+2ζ2300000000000000
χ874-40-2002−2i22i223−23000i2−i2i6−i6000000000000−2−2i32+2i301+i300−1−i32ζ7+2ζ13−2ζ7−2ζ134ζ14+2ζ22−4ζ14−2ζ22000−ζ7−ζ13ζ7+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
χ884-40-2002−2i22i2−2323000i2−i2−i6i6000000000000−2−2i32+2i301+i300−1−i32ζ7+2ζ13−2ζ7−2ζ13−4ζ14−2ζ224ζ14+2ζ22000−ζ7−ζ13ζ7+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
χ894-40-20022i2−2i223−23000−i2i2−i6i6000000000000−2−2i32+2i301+i300−1−i3−2ζ7−2ζ132ζ7+2ζ134ζ14+2ζ22−4ζ14−2ζ22000ζ7+ζ13−ζ7−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
χ904-40-20022i2−2i2−2323000−i2i2i6−i6000000000000−2−2i32+2i301+i300−1−i3−2ζ7−2ζ132ζ7+2ζ13−4ζ14−2ζ224ζ14+2ζ22000ζ7+ζ13−ζ7−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.