Finite Group Databasebeta

← Group #72769

Character table — Group #72769

Order 384.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111111112222444444444444888888881111111122224444444444448888888811111111222244444444444488888888
order1222222244444444888888882222444436666666121212121212121224242424242424246666121212123666666612121212121212122424242424242424666612121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ5111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ7111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ8111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ922222222-2-2-2-222-2-2000000000000000022222222-2-2-2-222-2-2000000000000000022222222-2-2-2-222-2-20000000000000000
χ1022222222-2-2-2-2-2-222000000000000000022222222-2-2-2-2-2-222000000000000000022222222-2-2-2-2-2-2220000000000000000
χ112222-2-2-2-20000002i−2i22−2−2i2i2−i2−i2000000002222-2-2-2-20000002i−2i22−2−2i2i2−i2−i2000000002222-2-2-2-20000002i−2i22−2−2i2i2−i2−i200000000
χ122222-2-2-2-20000002i−2i−2−222−i2−i2i2i2000000002222-2-2-2-20000002i−2i−2−222−i2−i2i2i2000000002222-2-2-2-20000002i−2i−2−222−i2−i2i2i200000000
χ132222-2-2-2-2000000−2i2i22−2−2−i2−i2i2i2000000002222-2-2-2-2000000−2i2i22−2−2−i2−i2i2i2000000002222-2-2-2-2000000−2i2i22−2−2−i2−i2i2i200000000
χ142222-2-2-2-2000000−2i2i−2−222i2i2−i2−i2000000002222-2-2-2-2000000−2i2i−2−222i2i2−i2−i2000000002222-2-2-2-2000000−2i2i−2−222i2i2−i2−i200000000
χ1522-2-22-22-222-2-20000000000000000002i−2i22-2-22-22-222-2-20000000000000000002i−2i22-2-22-22-222-2-20000000000000000002i−2i
χ1622-2-22-22-222-2-2000000000000000000−2i2i22-2-22-22-222-2-2000000000000000000−2i2i22-2-22-22-222-2-2000000000000000000−2i2i
χ1722-2-22-22-2-2-222000000000000002-2000022-2-22-22-2-2-222000000000000002-2000022-2-22-22-2-2-222000000000000002-20000
χ1822-2-22-22-2-2-22200000000000000-22000022-2-22-22-2-2-22200000000000000-22000022-2-22-22-2-2-22200000000000000-220000
χ192-22-22-2-222-22-200000000000000002i−2i002-22-22-2-222-22-200000000000000002i−2i002-22-22-2-222-22-200000000000000002i−2i00
χ202-22-22-2-222-22-20000000000000000−2i2i002-22-22-2-222-22-20000000000000000−2i2i002-22-22-2-222-22-20000000000000000−2i2i00
χ212-22-22-2-22-22-220000000000002-20000002-22-22-2-22-22-220000000000002-20000002-22-22-2-22-22-220000000000002-2000000
χ222-22-22-2-22-22-22000000000000-220000002-22-22-2-22-22-22000000000000-220000002-22-22-2-22-22-22000000000000-22000000
χ232-2-2222-2-22-2-2200002-22-20000000000002-2-2222-2-22-2-2200002-22-20000000000002-2-2222-2-22-2-2200002-22-2000000000000
χ242-2-2222-2-22-2-220000-22-220000000000002-2-2222-2-22-2-220000-22-220000000000002-2-2222-2-22-2-220000-22-22000000000000
χ252-2-2222-2-2-222-2000000002i−2i2i−2i000000002-2-2222-2-2-222-2000000002i−2i2i−2i000000002-2-2222-2-2-222-2000000002i−2i2i−2i00000000
χ262-2-2222-2-2-222-200000000−2i2i−2i2i000000002-2-2222-2-2-222-200000000−2i2i−2i2i000000002-2-2222-2-2-222-200000000−2i2i−2i2i00000000
χ272-2-22-2-22200002-2002−2−222−2−22000000002-2-22-2-22200002-2002−2−222−2−22000000002-2-22-2-22200002-2002−2−222−2−2200000000
χ282-2-22-2-22200002-200−222−2−222−2000000002-2-22-2-22200002-200−222−2−222−2000000002-2-22-2-22200002-200−222−2−222−200000000
χ292-2-22-2-2220000-22002−2−22−222−2000000002-2-22-2-2220000-22002−2−22−222−2000000002-2-22-2-2220000-22002−2−22−222−200000000
χ302-2-22-2-2220000-2200−222−22−2−22000000002-2-22-2-2220000-2200−222−22−2−22000000002-2-22-2-2220000-2200−222−22−2−2200000000
χ3144-4-4-44-4400000000000000000000000044-4-4-44-4400000000000000000000000044-4-4-44-44000000000000000000000000
χ324-44-4-444-40000000000000000000000004-44-4-444-40000000000000000000000004-44-4-444-4000000000000000000000000
χ3311111111111111111111111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ34111111111111111111111111-1-1-1-1-1-1-1-1−1+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−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+i321+i321+i32
χ351111111111111111-1-1-1-1-1-1-1-111-1-111-1-1−1+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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32
χ361111111111111111-1-1-1-1-1-1-1-1-1-111-1-111−1+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+i321−i321−i321−i321−i321−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−i321+i321+i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32
χ37111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ38111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−1+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+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−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i32
χ39111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−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−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+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32
χ40111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1−1+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−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+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+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i32
χ4122222222-2-2-2-222-2-20000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i30000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i30000000000000000
χ4222222222-2-2-2-2-2-2220000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i30000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i30000000000000000
χ432222-2-2-2-20000002i−2i22−2−2i2i2−i2−i200000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000002ζ14−2ζ14ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ2300000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000002ζ22−2ζ22−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ1300000000
χ442222-2-2-2-20000002i−2i−2−222−i2−i2i2i200000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000002ζ14−2ζ14−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ2300000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000002ζ22−2ζ22ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ1300000000
χ452222-2-2-2-2000000−2i2i22−2−2−i2−i2i2i200000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000−2ζ142ζ14ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ2300000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000−2ζ222ζ22−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ1300000000
χ462222-2-2-2-2000000−2i2i−2−222i2i2−i2−i200000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000−2ζ142ζ14−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ2300000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000−2ζ222ζ22ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ1300000000
χ4722-2-22-22-222-2-20000000000000000002i−2i−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i30000000000000000002ζ14−2ζ14−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i30000000000000000002ζ22−2ζ22
χ4822-2-22-22-222-2-2000000000000000000−2i2i−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3000000000000000000−2ζ142ζ14−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3000000000000000000−2ζ222ζ22
χ4922-2-22-22-2-2-222000000000000002-20000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i300000000000000−1+i31−i30000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i300000000000000−1−i31+i30000
χ5022-2-22-22-2-2-22200000000000000-220000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000000000000001−i3−1+i30000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000000000000001+i3−1−i30000
χ512-22-22-2-222-22-200000000000000002i−2i00−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i300000000000000002ζ14−2ζ1400−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i300000000000000002ζ22−2ζ2200
χ522-22-22-2-222-22-20000000000000000−2i2i00−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i30000000000000000−2ζ142ζ1400−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i30000000000000000−2ζ222ζ2200
χ532-22-22-2-22-22-220000000000002-2000000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3000000000000−1+i31−i3000000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3000000000000−1−i31+i3000000
χ542-22-22-2-22-22-22000000000000-22000000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i30000000000001−i3−1+i3000000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i30000000000001+i3−1−i3000000
χ552-2-2222-2-22-2-2200002-22-2000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i30000−1+i31−i3−1+i31−i3000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i30000−1−i31+i3−1−i31+i3000000000000
χ562-2-2222-2-22-2-220000-22-22000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i300001−i3−1+i31−i3−1+i3000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i300001+i3−1−i31+i3−1−i3000000000000
χ572-2-2222-2-2-222-2000000002i−2i2i−2i00000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i3000000002ζ14−2ζ142ζ14−2ζ1400000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i3000000002ζ22−2ζ222ζ22−2ζ2200000000
χ582-2-2222-2-2-222-200000000−2i2i−2i2i00000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i300000000−2ζ142ζ14−2ζ142ζ1400000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i300000000−2ζ222ζ22−2ζ222ζ2200000000
χ592-2-22-2-22200002-2002−2−222−2−2200000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000−1+i31−i300ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000−1−i31+i300−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000
χ602-2-22-2-22200002-200−222−2−222−200000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000−1+i31−i300−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000−1−i31+i300ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000
χ612-2-22-2-2220000-22002−2−22−222−200000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i300001−i3−1+i300ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i300001+i3−1−i300−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000
χ622-2-22-2-2220000-2200−222−22−2−2200000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i300001−i3−1+i300−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i300001+i3−1−i300ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000
χ6344-4-4-44-44000000000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i32−2i3−2+2i3000000000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i32+2i3−2−2i3000000000000000000000000
χ644-44-4-444-4000000000000000000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i3000000000000000000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i3000000000000000000000000
χ6511111111111111111111111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ66111111111111111111111111-1-1-1-1-1-1-1-1−1−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+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−i321−i321−i32
χ671111111111111111-1-1-1-1-1-1-1-111-1-111-1-1−1−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−i321+i321+i321+i321+i321+i321+i321+i321+i32−1−i32−1−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+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32
χ681111111111111111-1-1-1-1-1-1-1-1-1-111-1-111−1−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−i321+i321+i321+i321+i321+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+i321−i321−i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32
χ69111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ70111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111−1−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−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+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i32
χ71111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i321+i321+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+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−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32
χ72111111111111-1-1-1-1-1-1-1-11111-1-11111-1-1−1−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+i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−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−i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i32
χ7322222222-2-2-2-222-2-20000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3−1−i3−1−i31+i31+i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3−1+i3−1+i31−i31−i30000000000000000
χ7422222222-2-2-2-2-2-2220000000000000000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i31+i31+i3−1−i3−1−i30000000000000000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i31−i31−i3−1+i3−1+i30000000000000000
χ752222-2-2-2-20000002i−2i22−2−2i2i2−i2−i200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000002ζ22−2ζ22−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ1300000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000002ζ14−2ζ14ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ2300000000
χ762222-2-2-2-20000002i−2i−2−222−i2−i2i2i200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i30000002ζ22−2ζ22ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ1300000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i30000002ζ14−2ζ14−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ2300000000
χ772222-2-2-2-2000000−2i2i22−2−2−i2−i2i2i200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000−2ζ222ζ22−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13ζ7+ζ13ζ7+ζ13−ζ7−ζ13−ζ7−ζ1300000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000−2ζ142ζ14ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5+ζ23ζ5+ζ23−ζ5−ζ23−ζ5−ζ2300000000
χ782222-2-2-2-2000000−2i2i−2−222i2i2−i2−i200000000−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000−2ζ222ζ22ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13−ζ7−ζ13−ζ7−ζ13ζ7+ζ13ζ7+ζ1300000000−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000−2ζ142ζ14−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5−ζ23−ζ5−ζ23ζ5+ζ23ζ5+ζ2300000000
χ7922-2-22-22-222-2-20000000000000000002i−2i−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i30000000000000000002ζ22−2ζ22−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i30000000000000000002ζ14−2ζ14
χ8022-2-22-22-222-2-2000000000000000000−2i2i−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3−1−i31+i31+i3000000000000000000−2ζ222ζ22−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3−1+i31−i31−i3000000000000000000−2ζ142ζ14
χ8122-2-22-22-2-2-222000000000000002-20000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i300000000000000−1−i31+i30000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i300000000000000−1+i31−i30000
χ8222-2-22-22-2-2-22200000000000000-220000−1−i3−1−i31+i31+i3−1−i31+i3−1−i31+i31+i31+i3−1−i3−1−i3000000000000001+i3−1−i30000−1+i3−1+i31−i31−i3−1+i31−i3−1+i31−i31−i31−i3−1+i3−1+i3000000000000001−i3−1+i30000
χ832-22-22-2-222-22-200000000000000002i−2i00−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i300000000000000002ζ22−2ζ2200−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i300000000000000002ζ14−2ζ1400
χ842-22-22-2-222-22-20000000000000000−2i2i00−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i3−1−i31+i3−1−i31+i30000000000000000−2ζ222ζ2200−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i3−1+i31−i3−1+i31−i30000000000000000−2ζ142ζ1400
χ852-22-22-2-22-22-220000000000002-2000000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i3000000000000−1−i31+i3000000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i3000000000000−1+i31−i3000000
χ862-22-22-2-22-22-22000000000000-22000000−1−i31+i3−1−i31+i3−1−i31+i31+i3−1−i31+i3−1−i31+i3−1−i30000000000001+i3−1−i3000000−1+i31−i3−1+i31−i3−1+i31−i31−i3−1+i31−i3−1+i31−i3−1+i30000000000001−i3−1+i3000000
χ872-2-2222-2-22-2-2200002-22-2000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i30000−1−i31+i3−1−i31+i3000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i30000−1+i31−i3−1+i31−i3000000000000
χ882-2-2222-2-22-2-220000-22-22000000000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i3−1−i31+i31+i3−1−i300001+i3−1−i31+i3−1−i3000000000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i3−1+i31−i31−i3−1+i300001−i3−1+i31−i3−1+i3000000000000
χ892-2-2222-2-2-222-2000000002i−2i2i−2i00000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i3000000002ζ22−2ζ222ζ22−2ζ2200000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i3000000002ζ14−2ζ142ζ14−2ζ1400000000
χ902-2-2222-2-2-222-200000000−2i2i−2i2i00000000−1−i31+i31+i3−1−i3−1−i3−1−i31+i31+i31+i3−1−i3−1−i31+i300000000−2ζ222ζ22−2ζ222ζ2200000000−1+i31−i31−i3−1+i3−1+i3−1+i31−i31−i31−i3−1+i3−1+i31−i300000000−2ζ142ζ14−2ζ142ζ1400000000
χ912-2-22-2-22200002-2002−2−222−2−2200000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000−1−i31+i300−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000−1+i31−i300ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000
χ922-2-22-2-22200002-200−222−2−222−200000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i30000−1−i31+i300ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i30000−1+i31−i300−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000
χ932-2-22-2-2220000-22002−2−22−222−200000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i300001+i3−1−i300−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ1300000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i300001−i3−1+i300ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ2300000000
χ942-2-22-2-2220000-2200−222−22−2−2200000000−1−i31+i31+i3−1−i31+i31+i3−1−i3−1−i300001+i3−1−i300ζ7−ζ13−ζ7+ζ13−ζ7+ζ13ζ7−ζ13−ζ7+ζ13ζ7−ζ13ζ7−ζ13−ζ7+ζ1300000000−1+i31−i31−i3−1+i31−i31−i3−1+i3−1+i300001−i3−1+i300−ζ5+ζ23ζ5−ζ23ζ5−ζ23−ζ5+ζ23ζ5−ζ23−ζ5+ζ23−ζ5+ζ23ζ5−ζ2300000000
χ9544-4-4-44-44000000000000000000000000−2−2i3−2−2i32+2i32+2i32+2i3−2−2i32+2i3−2−2i3000000000000000000000000−2+2i3−2+2i32−2i32−2i32−2i3−2+2i32−2i3−2+2i3000000000000000000000000
χ964-44-4-444-4000000000000000000000000−2−2i32+2i3−2−2i32+2i32+2i3−2−2i3−2−2i32+2i3000000000000000000000000−2+2i32−2i3−2+2i32−2i32−2i3−2+2i3−2+2i32−2i3000000000000000000000000

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