Finite Group Databasebeta

← Group #11921257

Character table — Group #11921257

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11112222224444444466661212333366666612121212121212121818181836364444888888161616161616161624242424484844448888881616161616161616242424244848
order12223446664412121212121288884422226446664412121212121288884436663121266612121212121212122424242412123666312126661212121212121212242424241212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1
χ31111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1
χ41111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111
χ51-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-11-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-11-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-11-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-1
χ61-1-1111-1-11-1i−i1-1ii−i−i−i−iii-111-1-1111-1-11-1i−i1-1ii−i−i−i−iii-111-1-1111-1-11-1i−i1-1ii−i−i−i−iii-111-1-1111-1-11-1i−i1-1ii−i−i−i−iii-11
χ71-1-1111-1-11-1−ii1-1−i−iiiii−i−i-111-1-1111-1-11-1−ii1-1−i−iiiii−i−i-111-1-1111-1-11-1−ii1-1−i−iiiii−i−i-111-1-1111-1-11-1−ii1-1−i−iiiii−i−i-11
χ81-1-1111-1-11-1−ii1-1−i−iii−i−iii1-11-1-1111-1-11-1−ii1-1−i−iii−i−iii1-11-1-1111-1-11-1−ii1-1−i−iii−i−iii1-11-1-1111-1-11-1−ii1-1−i−iii−i−iii1-1
χ922222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-2000000000022222-2-222200-2-20000000000
χ102222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000
χ112222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-11111000000
χ122222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i3000000
χ132222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i3000000
χ1422-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−200
χ1522-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−2200
χ162-22-2200-2-2200000000−i2i2i2−i2002-22-2200-2-2200000000−i2i2i2−i2002-22-2200-2-2200000000−i2i2i2−i2002-22-2200-2-2200000000−i2i2i2−i200
χ172-22-2200-2-2200000000i2−i2−i2i2002-22-2200-2-2200000000i2−i2−i2i2002-22-2200-2-2200000000i2−i2−i2i2002-22-2200-2-2200000000i2−i2−i2i200
χ182-2-222-22-22-200-2200000000002-2-222-22-22-200-2200000000002-2-222-22-22-200-2200000000002-2-222-22-22-200-220000000000
χ192-2-22-12-21-112i−2i-11−i−iii0000002-2-22-12-21-112i−2i-11−i−iii0000002-2-22-12-21-112i−2i-11−i−iii0000002-2-22-12-21-112i−2i-11−i−iii000000
χ202-2-22-12-21-11−2i2i-11ii−i−i0000002-2-22-12-21-11−2i2i-11ii−i−i0000002-2-22-12-21-11−2i2i-11ii−i−i0000002-2-22-12-21-11−2i2i-11ii−i−i000000
χ212-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−33000000
χ222-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−3000000
χ2344-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-2220000000000000044-4-4-200-22200000000000000
χ244-44-4-20022-2000000000000004-44-4-20022-2000000000000004-44-4-20022-2000000000000004-44-4-20022-200000000000000
χ25111111111111111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ26111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1−1+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+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−i321+i321+i321+i321+i321+i321+i32
χ271111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ281111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+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−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ291-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-11-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-1−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32
χ301-1-1111-1-11-1i−i1-1ii−i−i−i−iii-111-1-1111-1-11-1i−i1-1ii−i−i−i−iii-11−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141−i32−1+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221+i32−1−i32
χ311-1-1111-1-11-1−ii1-1−i−iiiii−i−i-111-1-1111-1-11-1−ii1-1−i−iiiii−i−i-11−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141−i32−1+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221+i32−1−i32
χ321-1-1111-1-11-1−ii1-1−i−iii−i−iii1-11-1-1111-1-11-1−ii1-1−i−iii−i−iii1-1−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32
χ3322222-2-222200-2-2000000000022222-2-222200-2-20000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3001−i31−i30000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3001+i31+i30000000000
χ342222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000
χ352222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-11111000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32000000
χ362222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i3000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i3200−1+i32−1+i323+i32−3−i323+i32−3−i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i3200−1−i32−1−i32−3+i323−i32−3+i323−i32000000
χ372222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i3000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i3200−1+i32−1+i32−3−i323+i32−3−i323+i32000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i3200−1−i32−1−i323−i32−3+i323−i32−3+i32000000
χ3822-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−200−1+i3−1+i31−i31−i3−1+i300−1+i31−i31−i300000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300−1−i3−1−i31+i31+i3−1−i300−1−i31+i31+i300000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300
χ3922-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−2200−1+i3−1+i31−i31−i3−1+i300−1+i31−i31−i300000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300−1−i3−1−i31+i31+i3−1−i300−1−i31+i31+i300000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300
χ402-22-2200-2-2200000000−i2i2i2−i2002-22-2200-2-2200000000−i2i2i2−i200−1+i31−i3−1+i31−i3−1+i3001−i31−i3−1+i300000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300−1−i31+i3−1−i31+i3−1−i3001+i31+i3−1−i300000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300
χ412-22-2200-2-2200000000i2−i2−i2i2002-22-2200-2-2200000000i2−i2−i2i200−1+i31−i3−1+i31−i3−1+i3001−i31−i3−1+i300000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300−1−i31+i3−1−i31+i3−1−i3001+i31+i3−1−i300000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300
χ422-2-222-22-22-200-2200000000002-2-222-22-22-200-220000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i3001−i3−1+i30000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i3001+i3−1−i30000000000
χ432-2-22-12-21-112i−2i-11−i−iii0000002-2-22-12-21-112i−2i-11−i−iii000000−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i321−i32−1+i322ζ14−2ζ141−i32−1+i32−ζ14−ζ14ζ14ζ14000000−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i321+i32−1−i322ζ22−2ζ221+i32−1−i32−ζ22−ζ22ζ22ζ22000000
χ442-2-22-12-21-11−2i2i-11ii−i−i0000002-2-22-12-21-11−2i2i-11ii−i−i000000−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i321−i32−1+i32−2ζ142ζ141−i32−1+i32ζ14ζ14−ζ14−ζ14000000−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i321+i32−1−i32−2ζ222ζ221+i32−1−i32ζ22ζ22−ζ22−ζ22000000
χ452-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−33000000−1+i31−i31−i3−1+i31−i321−i3−1+i3−1+i321−i32−1+i3200−1+i321−i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22000000−1−i31+i31+i3−1−i31+i321+i3−1−i3−1−i321+i32−1−i3200−1−i321+i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22000000
χ462-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−3000000−1+i31−i31−i3−1+i31−i321−i3−1+i3−1+i321−i32−1+i3200−1+i321−i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22000000−1−i31+i31+i3−1−i31+i321+i3−1−i3−1−i321+i32−1−i3200−1−i321+i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22000000
χ4744-4-4-200-2220000000000000044-4-4-200-22200000000000000−2+2i3−2+2i32−2i32−2i31−i3001−i3−1+i3−1+i300000000000000−2−2i3−2−2i32+2i32+2i31+i3001+i3−1−i3−1−i300000000000000
χ484-44-4-20022-2000000000000004-44-4-20022-200000000000000−2+2i32−2i3−2+2i32−2i31−i300−1+i3−1+i31−i300000000000000−2−2i32+2i3−2−2i32+2i31+i300−1−i3−1−i31+i300000000000000
χ49111111111111111111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ50111111111111111111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1−1−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−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+i321−i321−i321−i321−i321−i321−i32
χ511111111111-1-111-1-1-1-11111-1-11111111111-1-111-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ521111111111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32
χ531-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-11-1-1111-1-11-1i−i1-1ii−i−iii−i−i1-1−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22ζ22ζ22−ζ22−ζ22−1−i321+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14ζ14ζ14−ζ14−ζ14−1+i321−i32
χ541-1-1111-1-11-1i−i1-1ii−i−i−i−iii-111-1-1111-1-11-1i−i1-1ii−i−i−i−iii-11−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32ζ22−ζ22−1−i321+i32ζ22ζ22−ζ22−ζ22−ζ22−ζ22ζ22ζ221+i32−1−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32ζ14−ζ14−1+i321−i32ζ14ζ14−ζ14−ζ14−ζ14−ζ14ζ14ζ141−i32−1+i32
χ551-1-1111-1-11-1−ii1-1−i−iiiii−i−i-111-1-1111-1-11-1−ii1-1−i−iiiii−i−i-11−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ22ζ22ζ22−ζ22−ζ221+i32−1−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ14ζ14ζ14−ζ14−ζ141−i32−1+i32
χ561-1-1111-1-11-1−ii1-1−i−iii−i−iii1-11-1-1111-1-11-1−ii1-1−i−iii−i−iii1-1−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−ζ22ζ22−1−i321+i32−ζ22−ζ22ζ22ζ22−ζ22−ζ22ζ22ζ22−1−i321+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−ζ14ζ14−1+i321−i32−ζ14−ζ14ζ14ζ14−ζ14−ζ14ζ14ζ14−1+i321−i32
χ5722222-2-222200-2-2000000000022222-2-222200-2-20000000000−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3001+i31+i30000000000−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3001−i31−i30000000000
χ582222-122-1-1-122-1-1-1-1-1-10000002222-122-1-1-122-1-1-1-1-1-1000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i32000000
χ592222-122-1-1-1-2-2-1-111110000002222-122-1-1-1-2-2-1-11111000000−1−i3−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i321+i321+i31+i31+i321+i32−1−i32−1−i32−1−i32−1−i32000000−1+i3−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i321−i321−i31−i31−i321−i32−1+i32−1+i32−1+i32−1+i32000000
χ602222-1-2-2-1-1-10011−i3i3−i3i30000002222-1-2-2-1-1-10011−i3i3−i3i3000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i3200−1−i32−1−i32−3+i323−i32−3+i323−i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i3200−1+i32−1+i323+i32−3−i323+i32−3−i32000000
χ612222-1-2-2-1-1-10011i3−i3i3−i30000002222-1-2-2-1-1-10011i3−i3i3−i3000000−1−i3−1−i3−1−i3−1−i31+i321+i31+i31+i321+i321+i3200−1−i32−1−i323−i32−3+i323−i32−3+i32000000−1+i3−1+i3−1+i3−1+i31−i321−i31−i31−i321−i321−i3200−1+i32−1+i32−3−i323+i32−3−i323+i32000000
χ6222-2-22002-2-2000000002−22−20022-2-22002-2-2000000002−22−200−1−i3−1−i31+i31+i3−1−i300−1−i31+i31+i300000000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ1300−1+i3−1+i31−i31−i3−1+i300−1+i31−i31−i300000000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ2300
χ6322-2-22002-2-200000000−22−220022-2-22002-2-200000000−22−2200−1−i3−1−i31+i31+i3−1−i300−1−i31+i31+i300000000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ1300−1+i3−1+i31−i31−i3−1+i300−1+i31−i31−i300000000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ2300
χ642-22-2200-2-2200000000−i2i2i2−i2002-22-2200-2-2200000000−i2i2i2−i200−1−i31+i3−1−i31+i3−1−i3001+i31+i3−1−i300000000ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ1300−1+i31−i3−1+i31−i3−1+i3001−i31−i3−1+i300000000ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ2300
χ652-22-2200-2-2200000000i2−i2−i2i2002-22-2200-2-2200000000i2−i2−i2i200−1−i31+i3−1−i31+i3−1−i3001+i31+i3−1−i300000000−ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ1300−1+i31−i3−1+i31−i3−1+i3001−i31−i3−1+i300000000−ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ2300
χ662-2-222-22-22-200-2200000000002-2-222-22-22-200-220000000000−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i3−1−i31+i3001+i3−1−i30000000000−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i3−1+i31−i3001−i3−1+i30000000000
χ672-2-22-12-21-112i−2i-11−i−iii0000002-2-22-12-21-112i−2i-11−i−iii000000−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i321+i32−1−i322ζ22−2ζ221+i32−1−i32−ζ22−ζ22ζ22ζ22000000−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i321−i32−1+i322ζ14−2ζ141−i32−1+i32−ζ14−ζ14ζ14ζ14000000
χ682-2-22-12-21-11−2i2i-11ii−i−i0000002-2-22-12-21-11−2i2i-11ii−i−i000000−1−i31+i31+i3−1−i31+i32−1−i31+i3−1−i321+i32−1−i32−2ζ222ζ221+i32−1−i32ζ22ζ22−ζ22−ζ22000000−1+i31−i31−i3−1+i31−i32−1+i31−i3−1+i321−i32−1+i32−2ζ142ζ141−i32−1+i32ζ14ζ14−ζ14−ζ14000000
χ692-2-22-1-221-11001-13−3−330000002-2-22-1-221-11001-13−3−33000000−1−i31+i31+i3−1−i31+i321+i3−1−i3−1−i321+i32−1−i3200−1−i321+i322ζ14+ζ22−2ζ14−ζ22−2ζ14−ζ222ζ14+ζ22000000−1+i31−i31−i3−1+i31−i321−i3−1+i3−1+i321−i32−1+i3200−1+i321−i32−ζ14−2ζ22ζ14+2ζ22ζ14+2ζ22−ζ14−2ζ22000000
χ702-2-22-1-221-11001-1−333−30000002-2-22-1-221-11001-1−333−3000000−1−i31+i31+i3−1−i31+i321+i3−1−i3−1−i321+i32−1−i3200−1−i321+i32−2ζ14−ζ222ζ14+ζ222ζ14+ζ22−2ζ14−ζ22000000−1+i31−i31−i3−1+i31−i321−i3−1+i3−1+i321−i32−1+i3200−1+i321−i32ζ14+2ζ22−ζ14−2ζ22−ζ14−2ζ22ζ14+2ζ22000000
χ7144-4-4-200-2220000000000000044-4-4-200-22200000000000000−2−2i3−2−2i32+2i32+2i31+i3001+i3−1−i3−1−i300000000000000−2+2i3−2+2i32−2i32−2i31−i3001−i3−1+i3−1+i300000000000000
χ724-44-4-20022-2000000000000004-44-4-20022-200000000000000−2−2i32+2i3−2−2i32+2i31+i300−1−i3−1−i31+i300000000000000−2+2i32−2i3−2+2i32−2i31−i300−1+i3−1+i31−i300000000000000
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χ783-3-3333-3-33-33i−3i3-33i3i−3i−3i−3i−3i3i3i-33-111-1-1-111-11−ii-11−i−iiiii−i−i1-1000000000000000000000000000000000000000000000000
χ793-3-3333-3-33-3−3i3i3-3−3i−3i3i3i3i3i−3i−3i-33-111-1-1-111-11i−i-11ii−i−i−i−iii1-1000000000000000000000000000000000000000000000000
χ803-3-3333-3-33-3−3i3i3-3−3i−3i3i3i−3i−3i3i3i3-3-111-1-1-111-11i−i-11ii−i−iii−i−i-11000000000000000000000000000000000000000000000000
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χ936-6-66-3-663-33003-333−33−3333000000-222-212-2-11-100-11−333−3000000000000000000000000000000000000000000000000000000
χ946-6-66-3-663-33003-3−333333−33000000-222-212-2-11-100-113−3−33000000000000000000000000000000000000000000000000000000
χ951212-12-12-600-66600000000000000-4-4442002-2-200000000000000000000000000000000000000000000000000000000000000
χ9612-1212-12-60066-600000000000000-44-44200-2-2200000000000000000000000000000000000000000000000000000000000000

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