Finite Group Databasebeta

← Group #13166833

Character table — Group #13166833

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size112444448899121212121616181818242424242424363636364848112444448899121212121616181818242424242424363636364848112444448899121212121616181818242424242424363636364848
order1242336612122288886644422242424242444663612633661212662424242466121212662424242461212126636126336612126624242424661212126624242424612121266
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111-1-1111-1-11-111-1-11-1-1-11-111111111111111-1-1111-1-11-111-1-11-1-1-11-111111111111111-1-1111-1-11-111-1-11-1-1-11-1
χ3111111111111-1-111111-1-1-11-1-1111-1-1-1-11111111111111-1-111111-1-1-11-1-1111-1-1-1-11111111111111-1-111111-1-1-11-1-1111-1-1-1-11
χ4111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1
χ5111-1111111111111-1-1111-1-11111-11-1-1-1-1111-1111111111111-1-1111-1-11111-11-1-1-1-1111-1111111111111-1-1111-1-11111-11-1-1-1-1
χ6111-11111111111-1-1-1-11-1-1-1111-1-1-1-111-11111-11111111111-1-1-1-11-1-1-1111-1-1-1-111-11111-11111111111-1-1-1-11-1-1-1111-1-1-1-111-11
χ7111-111111111-1-111-1-11-1-11-1-1-111-1-1111-1111-111111111-1-111-1-11-1-11-1-1-111-1-1111-1111-111111111-1-111-1-11-1-11-1-1-111-1-1111-1
χ8111-111111111-1-1-1-1-1-111111-1-1-1-1-11-1-111111-111111111-1-1-1-1-1-111111-1-1-1-1-11-1-111111-111111111-1-1-1-1-1-111111-1-1-1-1-11-1-111
χ92222222222-2-2000022-200000000-2000002222222222-2-2000022-200000000-2000002222222222-2-2000022-200000000-200000
χ10222-2222222-2-20000-2-2-200000000200000222-2222222-2-20000-2-2-200000000200000222-2222222-2-20000-2-2-200000000200000
χ1122-202222-2-222000000-2220000000-2000022-202222-2-222000000-2220000000-2000022-202222-2-222000000-2220000000-20000
χ1222-202222-2-222000000-2-2-200000002000022-202222-2-222000000-2-2-200000002000022-202222-2-222000000-2-2-2000000020000
χ1322-202222-2-2-2-2000000200000000002i−2i0022-202222-2-2-2-2000000200000000002i−2i0022-202222-2-2-2-2000000200000000002i−2i00
χ1422-202222-2-2-2-200000020000000000−2i2i0022-202222-2-2-2-200000020000000000−2i2i0022-202222-2-2-2-200000020000000000−2i2i00
χ152-20022-2-200-222−22−20002-2002−22−20000002-20022-2-200-222−22−20002-2002−22−20000002-20022-2-200-222−22−20002-2002−22−2000000
χ162-20022-2-200-222−2−22000-22002−2−220000002-20022-2-200-222−2−22000-22002−2−220000002-20022-2-200-222−2−22000-22002−2−22000000
χ172-20022-2-200-22−222−2000-2200−222−20000002-20022-2-200-22−222−2000-2200−222−20000002-20022-2-200-22−222−2000-2200−222−2000000
χ182-20022-2-200-22−22−220002-200−22−220000002-20022-2-200-22−22−220002-200−22−220000002-20022-2-200-22−22−220002-200−22−22000000
χ1944441-21-21-20000221-20000200-1-100000-144441-21-21-20000221-20000200-1-100000-144441-21-21-20000221-20000200-1-100000-1
χ2044441-21-21-20000-2-21-20000-2001100000144441-21-21-20000-2-21-20000-2001100000144441-21-21-20000-2-21-20000-20011000001
χ214444-21-21-21002200-2100020-1-1000000-104444-21-21-21002200-2100020-1-1000000-104444-21-21-21002200-2100020-1-1000000-10
χ224444-21-21-2100-2-200-21000-2011000000104444-21-21-2100-2-200-21000-2011000000104444-21-21-2100-2-200-21000-201100000010
χ23444-41-21-21-2000022-120000-200-1-1000001444-41-21-21-2000022-120000-200-1-1000001444-41-21-21-2000022-120000-200-1-1000001
χ24444-41-21-21-20000-2-2-1200002001100000-1444-41-21-21-20000-2-2-1200002001100000-1444-41-21-21-20000-2-2-1200002001100000-1
χ25444-4-21-21-210022002-1000-20-1-100000010444-4-21-21-210022002-1000-20-1-100000010444-4-21-21-210022002-1000-20-1-100000010
χ26444-4-21-21-2100-2-2002-10002011000000-10444-4-21-21-2100-2-2002-10002011000000-10444-4-21-21-2100-2-2002-10002011000000-10
χ274-40044-4-4004-40000000000000000000004-40044-4-4004-40000000000000000000004-40044-4-4004-4000000000000000000000
χ2888-802-42-4-240000000000000000000000088-802-42-4-240000000000000000000000088-802-42-4-2400000000000000000000000
χ2988-80-42-424-20000000000000000000000088-80-42-424-20000000000000000000000088-80-42-424-200000000000000000000000
χ308-8002-4-2400000022−22000000000−220000008-8002-4-2400000022−22000000000−220000008-8002-4-2400000022−22000000000−22000000
χ318-8002-4-24000000−22220000000002−20000008-8002-4-24000000−22220000000002−20000008-8002-4-24000000−22220000000002−2000000
χ328-800-424-2000022−22000000000−22000000008-800-424-2000022−22000000000−22000000008-800-424-2000022−22000000000−2200000000
χ338-800-424-20000−22220000000002−2000000008-800-424-20000−22220000000002−2000000008-800-424-20000−22220000000002−200000000
χ34111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3511111111111111-1-1111-1-11-111-1-11-1-1-11-1−1+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+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+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−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i321+i32
χ36111111111111-1-111111-1-1-11-1-1111-1-1-1-11−1+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+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+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−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32
χ37111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−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−i321+i321+i321+i321+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
χ38111-1111111111111-1-1111-1-11111-11-1-1-1-1−1+i32−1+i32−1+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+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−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−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32
χ39111-11111111111-1-1-1-11-1-1-1111-1-1-1-111-11−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32
χ40111-111111111-1-111-1-11-1-11-1-1-111-1-1111-1−1+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+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32−1−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−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32
χ41111-111111111-1-1-1-1-1-111111-1-1-1-1-11-1-111−1+i32−1+i32−1+i321−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+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i32−1−i321+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−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32
χ422222222222-2-2000022-200000000-200000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i30000−1+i3−1+i31−i3000000001−i300000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i30000−1−i3−1−i31+i3000000001+i300000
χ43222-2222222-2-20000-2-2-200000000200000−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i31−i31−i300000000−1+i300000−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i31+i31+i300000000−1−i300000
χ4422-202222-2-222000000-2220000000-20000−1+i3−1+i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i30000001−i3−1+i3−1+i300000001−i30000−1−i3−1−i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i30000001+i3−1−i3−1−i300000001+i30000
χ4522-202222-2-222000000-2-2-2000000020000−1+i3−1+i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i30000001−i31−i31−i30000000−1+i30000−1−i3−1−i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i30000001+i31+i31+i30000000−1−i30000
χ4622-202222-2-2-2-2000000200000000002i−2i00−1+i3−1+i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000−1+i300000000002ζ14−2ζ1400−1−i3−1−i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000−1−i300000000002ζ22−2ζ2200
χ4722-202222-2-2-2-200000020000000000−2i2i00−1+i3−1+i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000−1+i30000000000−2ζ142ζ1400−1−i3−1−i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000−1−i30000000000−2ζ222ζ2200
χ482-20022-2-200-222−22−20002-2002−22−2000000−1+i31−i300−1+i3−1+i31−i31−i3001−i3−1+i3ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23000−1+i31−i300ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23000000−1−i31+i300−1−i3−1−i31+i31+i3001+i3−1−i3−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13000−1−i31+i300−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13000000
χ492-20022-2-200-222−2−22000-22002−2−22000000−1+i31−i300−1+i3−1+i31−i31−i3001−i3−1+i3ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230001−i3−1+i300ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23000000−1−i31+i300−1−i3−1−i31+i31+i3001+i3−1−i3−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130001+i3−1−i300−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13000000
χ502-20022-2-200-22−222−2000-2200−222−2000000−1+i31−i300−1+i3−1+i31−i31−i3001−i3−1+i3−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230001−i3−1+i300−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23000000−1−i31+i300−1−i3−1−i31+i31+i3001+i3−1−i3ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130001+i3−1−i300ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13000000
χ512-20022-2-200-22−22−220002-200−22−22000000−1+i31−i300−1+i3−1+i31−i31−i3001−i3−1+i3−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23000−1+i31−i300−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23000000−1−i31+i300−1−i3−1−i31+i31+i3001+i3−1−i3ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13000−1−i31+i300ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13000000
χ5244441-21-21-20000221-20000200-1-100000-1−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i30000−1+i3−1+i3−1+i321−i30000−1+i3001−i321−i32000001−i32−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i30000−1−i3−1−i3−1−i321+i30000−1−i3001+i321+i32000001+i32
χ5344441-21-21-20000-2-21-20000-20011000001−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i300001−i31−i3−1+i321−i300001−i300−1+i32−1+i3200000−1+i32−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i300001+i31+i3−1−i321+i300001+i300−1−i32−1−i3200000−1−i32
χ544444-21-21-21002200-2100020-1-1000000-10−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i3200−1+i3−1+i3001−i3−1+i32000−1+i301−i321−i320000001−i320−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i3200−1−i3−1−i3001+i3−1−i32000−1−i301+i321+i320000001+i320
χ554444-21-21-2100-2-200-21000-201100000010−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i32001−i31−i3001−i3−1+i320001−i30−1+i32−1+i32000000−1+i320−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i32001+i31+i3001+i3−1−i320001+i30−1−i32−1−i32000000−1−i320
χ56444-41-21-21-2000022-120000-200-1-1000001−2+2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i30000−1+i3−1+i31−i32−1+i300001−i3001−i321−i3200000−1+i32−2−2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i30000−1−i3−1−i31+i32−1−i300001+i3001+i321+i3200000−1−i32
χ57444-41-21-21-20000-2-2-1200002001100000-1−2+2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i300001−i31−i31−i32−1+i30000−1+i300−1+i32−1+i32000001−i32−2−2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i300001+i31+i31+i32−1−i30000−1−i300−1−i32−1−i32000001+i32
χ58444-4-21-21-210022002-1000-20-1-100000010−2+2i3−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i3200−1+i3−1+i300−1+i31−i320001−i301−i321−i32000000−1+i320−2−2i3−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i3200−1−i3−1−i300−1−i31+i320001+i301+i321+i32000000−1−i320
χ59444-4-21-21-2100-2-2002-10002011000000-10−2+2i3−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i32001−i31−i300−1+i31−i32000−1+i30−1+i32−1+i320000001−i320−2−2i3−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i32001+i31+i300−1−i31+i32000−1−i30−1−i32−1−i320000001+i320
χ604-40044-4-4004-4000000000000000000000−2+2i32−2i300−2+2i3−2+2i32−2i32−2i300−2+2i32−2i3000000000000000000000−2−2i32+2i300−2−2i3−2−2i32+2i32+2i300−2−2i32+2i3000000000000000000000
χ6188-802-42-4-2400000000000000000000000−4+4i3−4+4i34−4i30−1+i32−2i3−1+i32−2i31−i3−2+2i300000000000000000000000−4−4i3−4−4i34+4i30−1−i32+2i3−1−i32+2i31+i3−2−2i300000000000000000000000
χ6288-80-42-424-200000000000000000000000−4+4i3−4+4i34−4i302−2i3−1+i32−2i3−1+i3−2+2i31−i300000000000000000000000−4−4i3−4−4i34+4i302+2i3−1−i32+2i3−1−i3−2−2i31+i300000000000000000000000
χ638-8002-4-2400000022−22000000000−22000000−4+4i34−4i300−1+i32−2i31−i3−2+2i30000002ζ5−2ζ23−2ζ5+2ζ23000000000−ζ5+ζ23ζ5−ζ23000000−4−4i34+4i300−1−i32+2i31+i3−2−2i3000000−2ζ7+2ζ132ζ7−2ζ13000000000ζ7−ζ13−ζ7+ζ13000000
χ648-8002-4-24000000−22220000000002−2000000−4+4i34−4i300−1+i32−2i31−i3−2+2i3000000−2ζ5+2ζ232ζ5−2ζ23000000000ζ5−ζ23−ζ5+ζ23000000−4−4i34+4i300−1−i32+2i31+i3−2−2i30000002ζ7−2ζ13−2ζ7+2ζ13000000000−ζ7+ζ13ζ7−ζ13000000
χ658-800-424-2000022−22000000000−2200000000−4+4i34−4i3002−2i3−1+i3−2+2i31−i300002ζ5−2ζ23−2ζ5+2ζ23000000000−ζ5+ζ23ζ5−ζ2300000000−4−4i34+4i3002+2i3−1−i3−2−2i31+i30000−2ζ7+2ζ132ζ7−2ζ13000000000ζ7−ζ13−ζ7+ζ1300000000
χ668-800-424-20000−22220000000002−200000000−4+4i34−4i3002−2i3−1+i3−2+2i31−i30000−2ζ5+2ζ232ζ5−2ζ23000000000ζ5−ζ23−ζ5+ζ2300000000−4−4i34+4i3002+2i3−1−i3−2−2i31+i300002ζ7−2ζ13−2ζ7+2ζ13000000000−ζ7+ζ13ζ7−ζ1300000000
χ67111111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ6811111111111111-1-1111-1-11-111-1-11-1-1-11-1−1−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−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−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+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i321−i32
χ69111111111111-1-111111-1-1-11-1-1111-1-1-1-11−1−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−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−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+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32
χ70111111111111-1-1-1-111111-1-1-1-1-1-11111-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+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+i321−i321−i321−i321−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
χ71111-1111111111111-1-1111-1-11111-11-1-1-1-1−1−i32−1−i32−1−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−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+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+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i321−i321−i321−i32
χ72111-11111111111-1-1-1-11-1-1-1111-1-1-1-111-11−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i32
χ73111-111111111-1-111-1-11-1-11-1-1-111-1-1111-1−1−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−i321+i321+i32−1−i321+i321+i32−1−i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i32−1+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+i321−i321−i32−1+i321−i321−i32−1+i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i32
χ74111-111111111-1-1-1-1-1-111111-1-1-1-1-11-1-111−1−i32−1−i32−1−i321+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−i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i32−1+i321−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+i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32
χ752222222222-2-2000022-200000000-200000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i30000−1−i3−1−i31+i3000000001+i300000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i30000−1+i3−1+i31−i3000000001−i300000
χ76222-2222222-2-20000-2-2-200000000200000−1−i3−1−i3−1−i31+i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i300001+i31+i31+i300000000−1−i300000−1+i3−1+i3−1+i31−i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i300001−i31−i31−i300000000−1+i300000
χ7722-202222-2-222000000-2220000000-20000−1−i3−1−i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i30000001+i3−1−i3−1−i300000001+i30000−1+i3−1+i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i30000001−i3−1+i3−1+i300000001−i30000
χ7822-202222-2-222000000-2-2-2000000020000−1−i3−1−i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i3−1−i3−1−i30000001+i31+i31+i30000000−1−i30000−1+i3−1+i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i3−1+i3−1+i30000001−i31−i31−i30000000−1+i30000
χ7922-202222-2-2-2-2000000200000000002i−2i00−1−i3−1−i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000−1−i300000000002ζ22−2ζ2200−1+i3−1+i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000−1+i300000000002ζ14−2ζ1400
χ8022-202222-2-2-2-200000020000000000−2i2i00−1−i3−1−i31+i30−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000−1−i30000000000−2ζ222ζ2200−1+i3−1+i31−i30−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000−1+i30000000000−2ζ142ζ1400
χ812-20022-2-200-222−22−20002-2002−22−2000000−1−i31+i300−1−i3−1−i31+i31+i3001+i3−1−i3−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13000−1−i31+i300−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13000000−1+i31−i300−1+i3−1+i31−i31−i3001−i3−1+i3ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23000−1+i31−i300ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23000000
χ822-20022-2-200-222−2−22000-22002−2−22000000−1−i31+i300−1−i3−1−i31+i31+i3001+i3−1−i3−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ130001+i3−1−i300−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13000000−1+i31−i300−1+i3−1+i31−i31−i3001−i3−1+i3ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ230001−i3−1+i300ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23000000
χ832-20022-2-200-22−222−2000-2200−222−2000000−1−i31+i300−1−i3−1−i31+i31+i3001+i3−1−i3ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ130001+i3−1−i300ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13000000−1+i31−i300−1+i3−1+i31−i31−i3001−i3−1+i3−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ230001−i3−1+i300−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23000000
χ842-20022-2-200-22−22−220002-200−22−22000000−1−i31+i300−1−i3−1−i31+i31+i3001+i3−1−i3ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13000−1−i31+i300ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13000000−1+i31−i300−1+i3−1+i31−i31−i3001−i3−1+i3−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23000−1+i31−i300−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23000000
χ8544441-21-21-20000221-20000200-1-100000-1−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i30000−1−i3−1−i3−1−i321+i30000−1−i3001+i321+i32000001+i32−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i30000−1+i3−1+i3−1+i321−i30000−1+i3001−i321−i32000001−i32
χ8644441-21-21-20000-2-21-20000-20011000001−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i300001+i31+i3−1−i321+i300001+i300−1−i32−1−i3200000−1−i32−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i300001−i31−i3−1+i321−i300001−i300−1+i32−1+i3200000−1+i32
χ874444-21-21-21002200-2100020-1-1000000-10−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i3200−1−i3−1−i3001+i3−1−i32000−1−i301+i321+i320000001+i320−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i3200−1+i3−1+i3001−i3−1+i32000−1+i301−i321−i320000001−i320
χ884444-21-21-2100-2-200-21000-201100000010−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i32001+i31+i3001+i3−1−i320001+i30−1−i32−1−i32000000−1−i320−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i32001−i31−i3001−i3−1+i320001−i30−1+i32−1+i32000000−1+i320
χ89444-41-21-21-2000022-120000-200-1-1000001−2−2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i30000−1−i3−1−i31+i32−1−i300001+i3001+i321+i3200000−1−i32−2+2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i30000−1+i3−1+i31−i32−1+i300001−i3001−i321−i3200000−1+i32
χ90444-41-21-21-20000-2-2-1200002001100000-1−2−2i3−2−2i3−2−2i32+2i3−1−i321+i3−1−i321+i3−1−i321+i300001+i31+i31+i32−1−i30000−1−i300−1−i32−1−i32000001+i32−2+2i3−2+2i3−2+2i32−2i3−1+i321−i3−1+i321−i3−1+i321−i300001−i31−i31−i32−1+i30000−1+i300−1+i32−1+i32000001−i32
χ91444-4-21-21-210022002-1000-20-1-100000010−2−2i3−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i3200−1−i3−1−i300−1−i31+i320001+i301+i321+i32000000−1−i320−2+2i3−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i3200−1+i3−1+i300−1+i31−i320001−i301−i321−i32000000−1+i320
χ92444-4-21-21-2100-2-2002-10002011000000-10−2−2i3−2−2i3−2−2i32+2i31+i3−1−i321+i3−1−i321+i3−1−i32001+i31+i300−1−i31+i32000−1−i30−1−i32−1−i320000001+i320−2+2i3−2+2i3−2+2i32−2i31−i3−1+i321−i3−1+i321−i3−1+i32001−i31−i300−1+i31−i32000−1+i30−1+i32−1+i320000001−i320
χ934-40044-4-4004-4000000000000000000000−2−2i32+2i300−2−2i3−2−2i32+2i32+2i300−2−2i32+2i3000000000000000000000−2+2i32−2i300−2+2i3−2+2i32−2i32−2i300−2+2i32−2i3000000000000000000000
χ9488-802-42-4-2400000000000000000000000−4−4i3−4−4i34+4i30−1−i32+2i3−1−i32+2i31+i3−2−2i300000000000000000000000−4+4i3−4+4i34−4i30−1+i32−2i3−1+i32−2i31−i3−2+2i300000000000000000000000
χ9588-80-42-424-200000000000000000000000−4−4i3−4−4i34+4i302+2i3−1−i32+2i3−1−i3−2−2i31+i300000000000000000000000−4+4i3−4+4i34−4i302−2i3−1+i32−2i3−1+i3−2+2i31−i300000000000000000000000
χ968-8002-4-2400000022−22000000000−22000000−4−4i34+4i300−1−i32+2i31+i3−2−2i3000000−2ζ7+2ζ132ζ7−2ζ13000000000ζ7−ζ13−ζ7+ζ13000000−4+4i34−4i300−1+i32−2i31−i3−2+2i30000002ζ5−2ζ23−2ζ5+2ζ23000000000−ζ5+ζ23ζ5−ζ23000000
χ978-8002-4-24000000−22220000000002−2000000−4−4i34+4i300−1−i32+2i31+i3−2−2i30000002ζ7−2ζ13−2ζ7+2ζ13000000000−ζ7+ζ13ζ7−ζ13000000−4+4i34−4i300−1+i32−2i31−i3−2+2i3000000−2ζ5+2ζ232ζ5−2ζ23000000000ζ5−ζ23−ζ5+ζ23000000
χ988-800-424-2000022−22000000000−2200000000−4−4i34+4i3002+2i3−1−i3−2−2i31+i30000−2ζ7+2ζ132ζ7−2ζ13000000000ζ7−ζ13−ζ7+ζ1300000000−4+4i34−4i3002−2i3−1+i3−2+2i31−i300002ζ5−2ζ23−2ζ5+2ζ23000000000−ζ5+ζ23ζ5−ζ2300000000
χ998-800-424-20000−22220000000002−200000000−4−4i34+4i3002+2i3−1−i3−2−2i31+i300002ζ7−2ζ13−2ζ7+2ζ13000000000−ζ7+ζ13ζ7−ζ1300000000−4+4i34−4i3002−2i3−1+i3−2+2i31−i30000−2ζ5+2ζ232ζ5−2ζ23000000000ζ5−ζ23−ζ5+ζ2300000000

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