Finite Group Databasebeta

← Group #11723127

Character table — Group #11723127

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222222444444444444449912121212181818242424241122222224444444444444499121212121818182424242411222222244444444444444991212121218181824242424
order12334668836121212122424242424242424224444488121212123633126624243612121212242424242424242466121212121224241212121236331266242436121212122424242424242424661212121212242412121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-1-1-1111-1-1-1-11111111111111111111111111-1-1-1-1111-1-1-1-11111111111111111111111111-1-1-1-1111-1-1-1-1
χ311111111111111111111111-1-111-1-1-1-1-111-1-111111111111111111111111-1-111-1-1-1-1-111-1-111111111111111111111111-1-111-1-1-1-1-111-1-1
χ411111111111111111111111-1-1-1-111-1-1-1-1-11111111111111111111111111-1-1-1-111-1-1-1-1-11111111111111111111111111-1-1-1-111-1-1-1-1-111
χ51111111-1-1111111-1-1-1-1-1-1-1-1111-11-11-1-11-11-11111111-1-1111111-1-1-1-1-1-1-1-1111-11-11-1-11-11-11111111-1-1111111-1-1-1-1-1-1-1-1111-11-11-1-11-11-1
χ61111111-1-1111111-1-1-1-1-1-1-1-111-11-111-1-1-11-111111111-1-1111111-1-1-1-1-1-1-1-111-11-111-1-1-11-111111111-1-1111111-1-1-1-1-1-1-1-111-11-111-1-1-11-11
χ71111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-11
χ81111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-11111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-11111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1
χ92222-2220022-2-2-2-200000000220000-20000002222-2220022-2-2-2-200000000220000-20000002222-2220022-2-2-2-200000000220000-2000000
χ102222-2220022-2-2-2-200000000-2-2000020000002222-2220022-2-2-2-200000000-2-2000020000002222-2220022-2-2-2-200000000-2-200002000000
χ11222-122-122-1-12-1-1-122-1-1-1-1-1-100002200000-1-1222-122-122-1-12-1-1-122-1-1-1-1-1-100002200000-1-1222-122-122-1-12-1-1-122-1-1-1-1-1-100002200000-1-1
χ12222-122-122-1-12-1-1-122-1-1-1-1-1-10000-2-20000011222-122-122-1-12-1-1-122-1-1-1-1-1-10000-2-20000011222-122-122-1-12-1-1-122-1-1-1-1-1-10000-2-20000011
χ13222-122-1-2-2-1-12-1-1-1-2-211111100002-200000-11222-122-1-2-2-1-12-1-1-1-2-211111100002-200000-11222-122-1-2-2-1-12-1-1-1-2-211111100002-200000-11
χ14222-122-1-2-2-1-12-1-1-1-2-21111110000-22000001-1222-122-1-2-2-1-12-1-1-1-2-21111110000-22000001-1222-122-1-2-2-1-12-1-1-1-2-21111110000-22000001-1
χ1522-122-1222-1-1-12-1-1-1-122-1-1-1-1002200000-1-10022-122-1222-1-1-12-1-1-1-122-1-1-1-1002200000-1-10022-122-1222-1-1-12-1-1-1-122-1-1-1-1002200000-1-100
χ1622-122-1222-1-1-12-1-1-1-122-1-1-1-100-2-200000110022-122-1222-1-1-12-1-1-1-122-1-1-1-100-2-200000110022-122-1222-1-1-12-1-1-1-122-1-1-1-100-2-2000001100
χ1722-122-12-2-2-1-1-12-1-111-2-21111002-200000-110022-122-12-2-2-1-1-12-1-111-2-21111002-200000-110022-122-12-2-2-1-1-12-1-111-2-21111002-200000-1100
χ1822-122-12-2-2-1-1-12-1-111-2-2111100-22000001-10022-122-12-2-2-1-1-12-1-111-2-2111100-22000001-10022-122-12-2-2-1-1-12-1-111-2-2111100-22000001-100
χ192-2220-2-22−22-200002−22−222−2−22-2000002−200002-2220-2-22−22-200002−22−222−2−22-2000002−200002-2220-2-22−22-200002−22−222−2−22-2000002−20000
χ202-2220-2-22−22-200002−22−222−2−2-2200000−2200002-2220-2-22−22-200002−22−222−2−2-2200000−2200002-2220-2-22−22-200002−22−222−2−2-2200000−220000
χ212-2220-2-2−222-20000−22−22−2−2222-200000−2200002-2220-2-2−222-20000−22−22−2−2222-200000−2200002-2220-2-2−222-20000−22−22−2−2222-200000−220000
χ222-2220-2-2−222-20000−22−22−2−222-22000002−200002-2220-2-2−222-20000−22−22−2−222-22000002−200002-2220-2-2−222-20000−22−22−2−222-22000002−20000
χ23444-2-44-200-2-2-4222000000000000000000000444-2-44-200-2-2-4222000000000000000000000444-2-44-200-2-2-4222000000000000000000000
χ2444-24-4-2400-2-22-42200000000000000000000044-24-4-2400-2-22-42200000000000000000000044-24-4-2400-2-22-422000000000000000000000
χ2544-2-24-2-24411-2-211-2-2-2-21111000000000000044-2-24-2-24411-2-211-2-2-2-21111000000000000044-2-24-2-24411-2-211-2-2-2-211110000000000000
χ2644-2-24-2-2-4-411-2-2112222-1-1-1-1000000000000044-2-24-2-2-4-411-2-2112222-1-1-1-1000000000000044-2-24-2-2-4-411-2-2112222-1-1-1-10000000000000
χ2744-2-2-4-2-2001122-1-100003i−3i3i−3i000000000000044-2-2-4-2-2001122-1-100003i−3i3i−3i000000000000044-2-2-4-2-2001122-1-100003i−3i3i−3i0000000000000
χ2844-2-2-4-2-2001122-1-10000−3i3i−3i3i000000000000044-2-2-4-2-2001122-1-10000−3i3i−3i3i000000000000044-2-2-4-2-2001122-1-10000−3i3i−3i3i0000000000000
χ294-44-20-4222−22-22000022−22−22−2−22200000000000004-44-20-4222−22-22000022−22−22−2−22200000000000004-44-20-4222−22-22000022−22−22−2−2220000000000000
χ304-44-20-42−2222-220000−22222−222−2−200000000000004-44-20-42−2222-220000−22222−222−2−200000000000004-44-20-42−2222-220000−22222−222−2−20000000000000
χ314-4-2402-422−22-220000−2222−22−2−22200000000000004-4-2402-422−22-220000−2222−22−2−22200000000000004-4-2402-422−22-220000−2222−22−2−2220000000000000
χ324-4-2402-4−2222-2200002−2−222222−2−200000000000004-4-2402-4−2222-2200002−2−222222−2−200000000000004-4-2402-4−2222-2200002−2−222222−2−20000000000000
χ334-4-2-202222−221-1003i−3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2300000000000004-4-2-202222−221-1003i−3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ2300000000000004-4-2-202222−221-1003i−3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000
χ344-4-2-202222−221-100−3i3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2300000000000004-4-2-202222−221-100−3i3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ2300000000000004-4-2-202222−221-100−3i3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000
χ354-4-2-2022−22221-1003i−3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2300000000000004-4-2-2022−22221-1003i−3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ2300000000000004-4-2-2022−22221-1003i−3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000
χ364-4-2-2022−22221-100−3i3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ2300000000000004-4-2-2022−22221-100−3i3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ2300000000000004-4-2-2022−22221-100−3i3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000
χ37111111111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ381111111111111111111111111-1-1-1-1111-1-1-1-1−1+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+i32−1+i321−i321−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−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−i321+i321+i321+i321+i32
χ3911111111111111111111111-1-111-1-1-1-1-111-1-1−1+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+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i321−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−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32
χ4011111111111111111111111-1-1-1-111-1-1-1-1-111−1+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+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+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−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32
χ411111111-1-1111111-1-1-1-1-1-1-1-1111-11-11-1-11-11-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ421111111-1-1111111-1-1-1-1-1-1-1-111-11-111-1-1-11-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ431111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-11−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i32
χ441111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−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−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i32−1−i32−1−i321+i32
χ452222-2220022-2-2-2-200000000220000-2000000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i300−1+i3−1+i31−i31−i31−i31−i300000000−1+i3−1+i300001−i3000000−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i300−1−i3−1−i31+i31+i31+i31+i300000000−1−i3−1−i300001+i3000000
χ462222-2220022-2-2-2-200000000-2-200002000000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i300−1+i3−1+i31−i31−i31−i31−i3000000001−i31−i30000−1+i3000000−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i300−1−i3−1−i31+i31+i31+i31+i3000000001+i31+i30000−1−i3000000
χ47222-122-122-1-12-1-1-122-1-1-1-1-1-100002200000-1-1−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000−1+i3−1+i3000001−i321−i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000−1−i3−1−i3000001+i321+i32
χ48222-122-122-1-12-1-1-122-1-1-1-1-1-10000-2-20000011−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200001−i31−i300000−1+i32−1+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200001+i31+i300000−1−i32−1−i32
χ49222-122-1-2-2-1-12-1-1-1-2-211111100002-200000-11−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i31−i31−i321−i32−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1+i31−i3000001−i32−1+i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i31+i31+i321+i32−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−1−i31+i3000001+i32−1−i32
χ50222-122-1-2-2-1-12-1-1-1-2-21111110000-22000001-1−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i31−i31−i321−i32−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200001−i3−1+i300000−1+i321−i32−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i31+i31+i321+i32−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200001+i3−1−i300000−1−i321+i32
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χ781111111-1-1111111-1-1-1-1-1-1-1-111-11-111-1-1-11-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i321+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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ791111111-1-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-11−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i321+i321+i32−1−i321+i32−1−i32−1−i32−1−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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i321−i321−i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i32
χ801111111-1-1111111-1-1-1-1-1-1-1-1-1-1-111-1-111-111-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+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+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i32−1+i32−1+i321−i32
χ812222-2220022-2-2-2-200000000220000-2000000−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i300−1−i3−1−i31+i31+i31+i31+i300000000−1−i3−1−i300001+i3000000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i300−1+i3−1+i31−i31−i31−i31−i300000000−1+i3−1+i300001−i3000000
χ822222-2220022-2-2-2-200000000-2-200002000000−1−i3−1−i3−1−i3−1−i31+i3−1−i3−1−i300−1−i3−1−i31+i31+i31+i31+i3000000001+i31+i30000−1−i3000000−1+i3−1+i3−1+i3−1+i31−i3−1+i3−1+i300−1+i3−1+i31−i31−i31−i31−i3000000001−i31−i30000−1+i3000000
χ83222-122-122-1-12-1-1-122-1-1-1-1-1-100002200000-1-1−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i320000−1−i3−1−i3000001+i321+i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i320000−1+i3−1+i3000001−i321−i32
χ84222-122-122-1-12-1-1-122-1-1-1-1-1-10000-2-20000011−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i31+i321+i32−1−i31+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i321+i321+i3200001+i31+i300000−1−i32−1−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i31−i321−i32−1+i31−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i321−i321−i3200001−i31−i300000−1+i32−1+i32
χ85222-122-1-2-2-1-12-1-1-1-2-211111100002-200000-11−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i31+i31+i321+i32−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i320000−1−i31+i3000001+i32−1−i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i31−i31−i321−i32−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i320000−1+i31−i3000001−i32−1+i32
χ86222-122-1-2-2-1-12-1-1-1-2-21111110000-22000001-1−1−i3−1−i3−1−i31+i32−1−i3−1−i31+i321+i31+i31+i321+i32−1−i31+i321+i321+i321+i31+i3−1−i32−1−i32−1−i32−1−i32−1−i32−1−i3200001+i3−1−i300000−1−i321+i32−1+i3−1+i3−1+i31−i32−1+i3−1+i31−i321−i31−i31−i321−i32−1+i31−i321−i321−i321−i31−i3−1+i32−1+i32−1+i32−1+i32−1+i32−1+i3200001−i3−1+i300000−1+i321−i32
χ8722-122-1222-1-1-12-1-1-1-122-1-1-1-1002200000-1-100−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i3200−1−i3−1−i3000001+i321+i3200−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i3200−1+i3−1+i3000001−i321−i3200
χ8822-122-1222-1-1-12-1-1-1-122-1-1-1-100-2-2000001100−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i3−1−i3−1−i31+i321+i321+i32−1−i31+i321+i321+i321+i32−1−i3−1−i31+i321+i321+i321+i32001+i31+i300000−1−i32−1−i3200−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i3−1+i3−1+i31−i321−i321−i32−1+i31−i321−i321−i321−i32−1+i3−1+i31−i321−i321−i321−i32001−i31−i300000−1+i32−1+i3200
χ8922-122-12-2-2-1-1-12-1-111-2-21111002-200000-1100−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i31+i31+i321+i321+i32−1−i31+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i3200−1−i31+i3000001+i32−1−i3200−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i31−i31−i321−i321−i32−1+i31−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i3200−1+i31−i3000001−i32−1+i3200
χ9022-122-12-2-2-1-1-12-1-111-2-2111100-22000001-100−1−i3−1−i31+i32−1−i3−1−i31+i32−1−i31+i31+i31+i321+i321+i32−1−i31+i321+i32−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i32−1−i32001+i3−1−i300000−1−i321+i3200−1+i3−1+i31−i32−1+i3−1+i31−i32−1+i31−i31−i31−i321−i321−i32−1+i31−i321−i32−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i32−1+i32001−i3−1+i300000−1+i321−i3200
χ912-2220-2-22−22-200002−22−222−2−22-2000002−20000−1−i31+i3−1−i3−1−i301+i31+i3−ζ7+ζ13ζ7−ζ13−1−i31+i30000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−1−i31+i300000−ζ7+ζ13ζ7−ζ130000−1+i31−i3−1+i3−1+i301−i31−i3ζ5−ζ23−ζ5+ζ23−1+i31−i30000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−1+i31−i300000ζ5−ζ23−ζ5+ζ230000
χ922-2220-2-22−22-200002−22−222−2−2-2200000−220000−1−i31+i3−1−i3−1−i301+i31+i3−ζ7+ζ13ζ7−ζ13−1−i31+i30000−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ131+i3−1−i300000ζ7−ζ13−ζ7+ζ130000−1+i31−i3−1+i3−1+i301−i31−i3ζ5−ζ23−ζ5+ζ23−1+i31−i30000ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ231−i3−1+i300000−ζ5+ζ23ζ5−ζ230000
χ932-2220-2-2−222-20000−22−22−2−2222-200000−220000−1−i31+i3−1−i3−1−i301+i31+i3ζ7−ζ13−ζ7+ζ13−1−i31+i30000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−1−i31+i300000ζ7−ζ13−ζ7+ζ130000−1+i31−i3−1+i3−1+i301−i31−i3−ζ5+ζ23ζ5−ζ23−1+i31−i30000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−1+i31−i300000−ζ5+ζ23ζ5−ζ230000
χ942-2220-2-2−222-20000−22−22−2−222-22000002−20000−1−i31+i3−1−i3−1−i301+i31+i3ζ7−ζ13−ζ7+ζ13−1−i31+i30000ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ131+i3−1−i300000−ζ7+ζ13ζ7−ζ130000−1+i31−i3−1+i3−1+i301−i31−i3−ζ5+ζ23ζ5−ζ23−1+i31−i30000−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ231−i3−1+i300000ζ5−ζ23−ζ5+ζ230000
χ95444-2-44-200-2-2-4222000000000000000000000−2−2i3−2−2i3−2−2i31+i32+2i3−2−2i31+i3001+i31+i32+2i3−1−i3−1−i3−1−i3000000000000000000000−2+2i3−2+2i3−2+2i31−i32−2i3−2+2i31−i3001−i31−i32−2i3−1+i3−1+i3−1+i3000000000000000000000
χ9644-24-4-2400-2-22-422000000000000000000000−2−2i3−2−2i31+i3−2−2i32+2i31+i3−2−2i3001+i31+i3−1−i32+2i3−1−i3−1−i3000000000000000000000−2+2i3−2+2i31−i3−2+2i32−2i31−i3−2+2i3001−i31−i3−1+i32−2i3−1+i3−1+i3000000000000000000000
χ9744-2-24-2-24411-2-211-2-2-2-211110000000000000−2−2i3−2−2i31+i31+i3−2−2i31+i31+i3−2−2i3−2−2i3−1−i32−1−i321+i31+i3−1−i32−1−i321+i31+i31+i31+i3−1−i32−1−i32−1−i32−1−i320000000000000−2+2i3−2+2i31−i31−i3−2+2i31−i31−i3−2+2i3−2+2i3−1+i32−1+i321−i31−i3−1+i32−1+i321−i31−i31−i31−i3−1+i32−1+i32−1+i32−1+i320000000000000
χ9844-2-24-2-2-4-411-2-2112222-1-1-1-10000000000000−2−2i3−2−2i31+i31+i3−2−2i31+i31+i32+2i32+2i3−1−i32−1−i321+i31+i3−1−i32−1−i32−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000000000000−2+2i3−2+2i31−i31−i3−2+2i31−i31−i32−2i32−2i3−1+i32−1+i321−i31−i3−1+i32−1+i32−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000000000000
χ9944-2-2-4-2-2001122-1-100003i−3i3i−3i0000000000000−2−2i3−2−2i31+i31+i32+2i31+i31+i300−1−i32−1−i32−1−i3−1−i31+i321+i3200003ζ22−3ζ223ζ22−3ζ220000000000000−2+2i3−2+2i31−i31−i32−2i31−i31−i300−1+i32−1+i32−1+i3−1+i31−i321−i3200003ζ14−3ζ143ζ14−3ζ140000000000000
χ10044-2-2-4-2-2001122-1-10000−3i3i−3i3i0000000000000−2−2i3−2−2i31+i31+i32+2i31+i31+i300−1−i32−1−i32−1−i3−1−i31+i321+i320000−3ζ223ζ22−3ζ223ζ220000000000000−2+2i3−2+2i31−i31−i32−2i31−i31−i300−1+i32−1+i32−1+i3−1+i31−i321−i320000−3ζ143ζ14−3ζ143ζ140000000000000
χ1014-44-20-4222−22-22000022−22−22−2−2220000000000000−2−2i32+2i3−2−2i31+i302+2i3−1−i3−2ζ7+2ζ132ζ7−2ζ131+i3−1−i30000−2ζ7+2ζ132ζ7−2ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ130000000000000−2+2i32−2i3−2+2i31−i302−2i3−1+i32ζ5−2ζ23−2ζ5+2ζ231−i3−1+i300002ζ5−2ζ23−2ζ5+2ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ230000000000000
χ1024-44-20-42−2222-220000−22222−222−2−20000000000000−2−2i32+2i3−2−2i31+i302+2i3−1−i32ζ7−2ζ13−2ζ7+2ζ131+i3−1−i300002ζ7−2ζ13−2ζ7+2ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ130000000000000−2+2i32−2i3−2+2i31−i302−2i3−1+i3−2ζ5+2ζ232ζ5−2ζ231−i3−1+i30000−2ζ5+2ζ232ζ5−2ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ230000000000000
χ1034-4-2402-422−22-220000−2222−22−2−2220000000000000−2−2i32+2i31+i3−2−2i30−1−i32+2i3−2ζ7+2ζ132ζ7−2ζ131+i3−1−i30000ζ7−ζ13−ζ7+ζ13−2ζ7+2ζ132ζ7−2ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ130000000000000−2+2i32−2i31−i3−2+2i30−1+i32−2i32ζ5−2ζ23−2ζ5+2ζ231−i3−1+i30000−ζ5+ζ23ζ5−ζ232ζ5−2ζ23−2ζ5+2ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ230000000000000
χ1044-4-2402-4−2222-2200002−2−222222−2−20000000000000−2−2i32+2i31+i3−2−2i30−1−i32+2i32ζ7−2ζ13−2ζ7+2ζ131+i3−1−i30000−ζ7+ζ13ζ7−ζ132ζ7−2ζ13−2ζ7+2ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ130000000000000−2+2i32−2i31−i3−2+2i30−1+i32−2i3−2ζ5+2ζ232ζ5−2ζ231−i3−1+i30000ζ5−ζ23−ζ5+ζ23−2ζ5+2ζ232ζ5−2ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ230000000000000
χ1054-4-2-202222−221-1003i−3i−22−22ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ23−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ230000000000000−2−2i32+2i31+i31+i30−1−i3−1−i3−2ζ7+2ζ132ζ7−2ζ13−1−i321+i32003ζ22−3ζ22ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−2ζ7−ζ13ζ7+2ζ132ζ7+ζ13−ζ7−2ζ130000000000000−2+2i32−2i31−i31−i30−1+i3−1+i32ζ5−2ζ23−2ζ5+2ζ23−1+i321−i32003ζ14−3ζ14−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5−2ζ232ζ5+ζ23ζ5+2ζ23−2ζ5−ζ230000000000000
χ1064-4-2-202222−221-100−3i3i−22−22−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ232ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ230000000000000−2−2i32+2i31+i31+i30−1−i3−1−i3−2ζ7+2ζ132ζ7−2ζ13−1−i321+i3200−3ζ223ζ22ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7+2ζ13−2ζ7−ζ13−ζ7−2ζ132ζ7+ζ130000000000000−2+2i32−2i31−i31−i30−1+i3−1+i32ζ5−2ζ23−2ζ5+2ζ23−1+i321−i3200−3ζ143ζ14−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ232ζ5+ζ23−ζ5−2ζ23−2ζ5−ζ23ζ5+2ζ230000000000000
χ1074-4-2-2022−22221-1003i−3i2−22−2−ζ5−2ζ7−ζ13−2ζ232ζ5+ζ7+2ζ13+ζ23ζ5+2ζ7+ζ13+2ζ23−2ζ5−ζ7−2ζ13−ζ230000000000000−2−2i32+2i31+i31+i30−1−i3−1−i32ζ7−2ζ13−2ζ7+2ζ13−1−i321+i32003ζ22−3ζ22−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ132ζ7+ζ13−ζ7−2ζ13−2ζ7−ζ13ζ7+2ζ130000000000000−2+2i32−2i31−i31−i30−1+i3−1+i3−2ζ5+2ζ232ζ5−2ζ23−1+i321−i32003ζ14−3ζ14ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5+2ζ23−2ζ5−ζ23−ζ5−2ζ232ζ5+ζ230000000000000
χ1084-4-2-2022−22221-100−3i3i2−22−22ζ5+ζ7+2ζ13+ζ23−ζ5−2ζ7−ζ13−2ζ23−2ζ5−ζ7−2ζ13−ζ23ζ5+2ζ7+ζ13+2ζ230000000000000−2−2i32+2i31+i31+i30−1−i3−1−i32ζ7−2ζ13−2ζ7+2ζ13−1−i321+i3200−3ζ223ζ22−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7−2ζ132ζ7+ζ13ζ7+2ζ13−2ζ7−ζ130000000000000−2+2i32−2i31−i31−i30−1+i3−1+i3−2ζ5+2ζ232ζ5−2ζ23−1+i321−i3200−3ζ143ζ14ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−2ζ5−ζ23ζ5+2ζ232ζ5+ζ23−ζ5−2ζ230000000000000

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