Finite Group Databasebeta

← Group #11724278

Character table — Group #11724278

Order 864.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111144444444121212121212121212121212181818181818111144444444121212121212121212121212181818181818111144444444121212121212121212121212181818181818
order124433661212121222446666121212122488883612123366121212126612126666121212126122424242436121233661212121266121266661212121261224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111-11-111-1-111-1-111-1-1-1-11111111111111-11-111-1-111-1-111-1-1-1-11111111111111-11-111-1-111-1-111-1-1-1-1
χ3111111111111-11-11-1-111-1-11111-1-1-1-1111111111111-11-11-1-111-1-11111-1-1-1-1111111111111-11-11-1-111-1-11111-1-1-1-1
χ4111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511-1-11111-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1111-1-1
χ611-1-11111-1-1-1-11-1-1111-1-1-1-111-11-1-11111-1-11111-1-1-1-11-1-1111-1-1-1-111-11-1-11111-1-11111-1-1-1-11-1-1111-1-1-1-111-11-1-111
χ711-1-11111-1-1-1-1-111-1-1-11111-1-1-11-1-11111-1-11111-1-1-1-1-111-1-1-11111-1-1-11-1-11111-1-11111-1-1-1-1-111-1-1-11111-1-1-11-1-111
χ811-1-11111-1-1-1-1-1-111-1-1-1-11111-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-1111-1-1
χ9222222222222000000000000-2-20000222222222222000000000000-2-20000222222222222000000000000-2-20000
χ1022-2-22222-2-2-2-20000000000002-2000022-2-22222-2-2-2-20000000000002-2000022-2-22222-2-2-2-20000000000002-20000
χ112-22i−2i22-2-22i2i−2i−2i000000000000002−2−i2i22-22i−2i22-2-22i2i−2i−2i000000000000002−2−i2i22-22i−2i22-2-22i2i−2i−2i000000000000002−2−i2i2
χ122-22i−2i22-2-22i2i−2i−2i00000000000000−22i2−i22-22i−2i22-2-22i2i−2i−2i00000000000000−22i2−i22-22i−2i22-2-22i2i−2i−2i00000000000000−22i2−i2
χ132-2−2i2i22-2-2−2i−2i2i2i000000000000002−2i2−i22-2−2i2i22-2-2−2i−2i2i2i000000000000002−2i2−i22-2−2i2i22-2-2−2i−2i2i2i000000000000002−2i2−i2
χ142-2−2i2i22-2-2−2i−2i2i2i00000000000000−22−i2i22-2−2i2i22-2-2−2i−2i2i2i00000000000000−22−i2i22-2−2i2i22-2-2−2i−2i2i2i00000000000000−22−i2i2
χ1544441-21-21-21-2020200-1-100-1-100000044441-21-21-21-2020200-1-100-1-100000044441-21-21-21-2020200-1-100-1-1000000
χ1644441-21-21-21-20-20-20011001100000044441-21-21-21-20-20-20011001100000044441-21-21-21-20-20-200110011000000
χ174444-21-21-21-212020-1-100-1-1000000004444-21-21-21-212020-1-100-1-1000000004444-21-21-21-212020-1-100-1-100000000
χ184444-21-21-21-21-20-20110011000000004444-21-21-21-21-20-20110011000000004444-21-21-21-21-20-2011001100000000
χ1944-4-41-21-2-12-12020-200-1-1001100000044-4-41-21-2-12-12020-200-1-1001100000044-4-41-21-2-12-12020-200-1-10011000000
χ2044-4-41-21-2-12-120-202001100-1-100000044-4-41-21-2-12-120-202001100-1-100000044-4-41-21-2-12-120-202001100-1-1000000
χ2144-4-4-21-212-12-120-20-1-100110000000044-4-4-21-212-12-120-20-1-100110000000044-4-4-21-212-12-120-20-1-1001100000000
χ2244-4-4-21-212-12-1-20201100-1-10000000044-4-4-21-212-12-1-20201100-1-10000000044-4-4-21-212-12-1-20201100-1-100000000
χ234-44i−4i1-2-12i−2i−i2i000000−i3i3003−30000004-44i−4i1-2-12i−2i−i2i000000−i3i3003−30000004-44i−4i1-2-12i−2i−i2i000000−i3i3003−3000000
χ244-44i−4i1-2-12i−2i−i2i000000i3−i300−330000004-44i−4i1-2-12i−2i−i2i000000i3−i300−330000004-44i−4i1-2-12i−2i−i2i000000i3−i300−33000000
χ254-44i−4i-212-1−2ii2i−i0000−i3i3003−3000000004-44i−4i-212-1−2ii2i−i0000−i3i3003−3000000004-44i−4i-212-1−2ii2i−i0000−i3i3003−300000000
χ264-44i−4i-212-1−2ii2i−i0000i3−i300−33000000004-44i−4i-212-1−2ii2i−i0000i3−i300−33000000004-44i−4i-212-1−2ii2i−i0000i3−i300−3300000000
χ274-4−4i4i1-2-12−i2ii−2i000000−i3i300−330000004-4−4i4i1-2-12−i2ii−2i000000−i3i300−330000004-4−4i4i1-2-12−i2ii−2i000000−i3i300−33000000
χ284-4−4i4i1-2-12−i2ii−2i000000i3−i3003−30000004-4−4i4i1-2-12−i2ii−2i000000i3−i3003−30000004-4−4i4i1-2-12−i2ii−2i000000i3−i3003−3000000
χ294-4−4i4i-212-12i−i−2ii0000−i3i300−33000000004-4−4i4i-212-12i−i−2ii0000−i3i300−33000000004-4−4i4i-212-12i−i−2ii0000−i3i300−3300000000
χ304-4−4i4i-212-12i−i−2ii0000i3−i3003−3000000004-4−4i4i-212-12i−i−2ii0000i3−i3003−3000000004-4−4i4i-212-12i−i−2ii0000i3−i3003−300000000
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
χ321111111111111-11-111-1-111-1-111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−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+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32
χ33111111111111-11-11-1-111-1-11111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+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+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ34111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−1+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−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+i321+i321+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ3511-1-11111-1-1-1-111-1-11111-1-1-1-1-1111-1-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32
χ3611-1-11111-1-1-1-11-1-1111-1-1-1-111-11-1-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32
χ3711-1-11111-1-1-1-1-111-1-1-11111-1-1-11-1-111−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32
χ3811-1-11111-1-1-1-1-1-111-1-1-1-11111-1111-1-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32
χ39222222222222000000000000-2-20000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000000000001−i31−i30000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000000000001+i31+i30000
χ4022-2-22222-2-2-2-20000000000002-20000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000−1+i31−i30000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000−1−i31+i30000
χ412-22i−2i22-2-22i2i−2i−2i000000000000002−2−i2i2−1+i31−i32ζ14−2ζ14−1+i3−1+i31−i31−i32ζ142ζ14−2ζ14−2ζ1400000000000000ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23−1−i31+i32ζ22−2ζ22−1−i3−1−i31+i31+i32ζ222ζ22−2ζ22−2ζ2200000000000000−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13
χ422-22i−2i22-2-22i2i−2i−2i00000000000000−22i2−i2−1+i31−i32ζ14−2ζ14−1+i3−1+i31−i31−i32ζ142ζ14−2ζ14−2ζ1400000000000000−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23−1−i31+i32ζ22−2ζ22−1−i3−1−i31+i31+i32ζ222ζ22−2ζ22−2ζ2200000000000000ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13
χ432-2−2i2i22-2-2−2i−2i2i2i000000000000002−2i2−i2−1+i31−i3−2ζ142ζ14−1+i3−1+i31−i31−i3−2ζ14−2ζ142ζ142ζ1400000000000000ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23−1−i31+i3−2ζ222ζ22−1−i3−1−i31+i31+i3−2ζ22−2ζ222ζ222ζ2200000000000000−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13
χ442-2−2i2i22-2-2−2i−2i2i2i00000000000000−22−i2i2−1+i31−i3−2ζ142ζ14−1+i3−1+i31−i31−i3−2ζ14−2ζ142ζ142ζ1400000000000000−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23−1−i31+i3−2ζ222ζ22−1−i3−1−i31+i31+i3−2ζ22−2ζ222ζ222ζ2200000000000000ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13
χ4544441-21-21-21-2020200-1-100-1-1000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i30−1+i30−1+i3001−i321−i32001−i321−i32000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i30−1−i30−1−i3001+i321+i32001+i321+i32000000
χ4644441-21-21-21-20-20-200110011000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i301−i301−i300−1+i32−1+i3200−1+i32−1+i32000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i301+i301+i300−1−i32−1−i3200−1−i32−1−i32000000
χ474444-21-21-21-212020-1-100-1-100000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32−1+i30−1+i301−i321−i32001−i321−i3200000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32−1−i30−1−i301+i321+i32001+i321+i3200000000
χ484444-21-21-21-21-20-2011001100000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i301−i30−1+i32−1+i3200−1+i32−1+i3200000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i301+i30−1−i32−1−i3200−1−i32−1−i3200000000
χ4944-4-41-21-2-12-12020-200-1-10011000000−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i30−1+i301−i3001−i321−i3200−1+i32−1+i32000000−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i30−1−i301+i3001+i321+i3200−1−i32−1−i32000000
χ5044-4-41-21-2-12-120-202001100-1-1000000−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i301−i30−1+i300−1+i32−1+i32001−i321−i32000000−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i301+i30−1−i300−1−i32−1−i32001+i321+i32000000
χ5144-4-4-21-212-12-120-20-1-1001100000000−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i32−1+i301−i301−i321−i3200−1+i32−1+i3200000000−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i32−1−i301+i301+i321+i3200−1−i32−1−i3200000000
χ5244-4-4-21-212-12-1-20201100-1-100000000−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i321−i30−1+i30−1+i32−1+i32001−i321−i3200000000−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i321+i30−1−i30−1−i32−1−i32001+i321+i3200000000
χ534-44i−4i1-2-12i−2i−i2i000000−i3i3003−3000000−2+2i32−2i34ζ14−4ζ14−1+i321−i31−i32−1+i3ζ14−2ζ14−ζ142ζ140000003+i32−3−i3200−ζ14−2ζ22ζ14+2ζ22000000−2−2i32+2i34ζ22−4ζ22−1−i321+i31+i32−1−i3ζ22−2ζ22−ζ222ζ22000000−3+i323−i32002ζ14+ζ22−2ζ14−ζ22000000
χ544-44i−4i1-2-12i−2i−i2i000000i3−i300−33000000−2+2i32−2i34ζ14−4ζ14−1+i321−i31−i32−1+i3ζ14−2ζ14−ζ142ζ14000000−3−i323+i3200ζ14+2ζ22−ζ14−2ζ22000000−2−2i32+2i34ζ22−4ζ22−1−i321+i31+i32−1−i3ζ22−2ζ22−ζ222ζ220000003−i32−3+i3200−2ζ14−ζ222ζ14+ζ22000000
χ554-44i−4i-212-1−2ii2i−i0000−i3i3003−300000000−2+2i32−2i34ζ14−4ζ141−i3−1+i32−1+i31−i32−2ζ14ζ142ζ14−ζ1400003+i32−3−i3200−ζ14−2ζ22ζ14+2ζ2200000000−2−2i32+2i34ζ22−4ζ221+i3−1−i32−1−i31+i32−2ζ22ζ222ζ22−ζ220000−3+i323−i32002ζ14+ζ22−2ζ14−ζ2200000000
χ564-44i−4i-212-1−2ii2i−i0000i3−i300−3300000000−2+2i32−2i34ζ14−4ζ141−i3−1+i32−1+i31−i32−2ζ14ζ142ζ14−ζ140000−3−i323+i3200ζ14+2ζ22−ζ14−2ζ2200000000−2−2i32+2i34ζ22−4ζ221+i3−1−i32−1−i31+i32−2ζ22ζ222ζ22−ζ2200003−i32−3+i3200−2ζ14−ζ222ζ14+ζ2200000000
χ574-4−4i4i1-2-12−i2ii−2i000000−i3i300−33000000−2+2i32−2i3−4ζ144ζ14−1+i321−i31−i32−1+i3−ζ142ζ14ζ14−2ζ140000003+i32−3−i3200ζ14+2ζ22−ζ14−2ζ22000000−2−2i32+2i3−4ζ224ζ22−1−i321+i31+i32−1−i3−ζ222ζ22ζ22−2ζ22000000−3+i323−i3200−2ζ14−ζ222ζ14+ζ22000000
χ584-4−4i4i1-2-12−i2ii−2i000000i3−i3003−3000000−2+2i32−2i3−4ζ144ζ14−1+i321−i31−i32−1+i3−ζ142ζ14ζ14−2ζ14000000−3−i323+i3200−ζ14−2ζ22ζ14+2ζ22000000−2−2i32+2i3−4ζ224ζ22−1−i321+i31+i32−1−i3−ζ222ζ22ζ22−2ζ220000003−i32−3+i32002ζ14+ζ22−2ζ14−ζ22000000
χ594-4−4i4i-212-12i−i−2ii0000−i3i300−3300000000−2+2i32−2i3−4ζ144ζ141−i3−1+i32−1+i31−i322ζ14−ζ14−2ζ14ζ1400003+i32−3−i3200ζ14+2ζ22−ζ14−2ζ2200000000−2−2i32+2i3−4ζ224ζ221+i3−1−i32−1−i31+i322ζ22−ζ22−2ζ22ζ220000−3+i323−i3200−2ζ14−ζ222ζ14+ζ2200000000
χ604-4−4i4i-212-12i−i−2ii0000i3−i3003−300000000−2+2i32−2i3−4ζ144ζ141−i3−1+i32−1+i31−i322ζ14−ζ14−2ζ14ζ140000−3−i323+i3200−ζ14−2ζ22ζ14+2ζ2200000000−2−2i32+2i3−4ζ224ζ221+i3−1−i32−1−i31+i322ζ22−ζ22−2ζ22ζ2200003−i32−3+i32002ζ14+ζ22−2ζ14−ζ2200000000
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
χ621111111111111-11-111-1-111-1-111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i321+i321+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−i32−1+i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32
χ63111111111111-11-11-1-111-1-11111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i32−1−i321+i32−1−i321+i321+i32−1−i32−1−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−i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ64111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111−1−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+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−i321−i321−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ6511-1-11111-1-1-1-111-1-11111-1-1-1-1-1111-1-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i32−1+i321−i321−i32
χ6611-1-11111-1-1-1-11-1-1111-1-1-1-111-11-1-111−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i321+i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i321−i32−1+i321−i321−i32−1+i32−1+i32
χ6711-1-11111-1-1-1-1-111-1-1-11111-1-1-11-1-111−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i321+i32−1−i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i321−i32−1+i32−1+i32
χ6811-1-11111-1-1-1-1-1-111-1-1-1-11111-1111-1-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i321+i321+i32−1−i32−1−i321+i321+i321+i321+i32−1−i32−1−i32−1−i32−1−i321+i32−1−i32−1−i32−1−i321+i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i321−i321−i32−1+i32−1+i321−i321−i321−i321−i32−1+i32−1+i32−1+i32−1+i321−i32−1+i32−1+i32−1+i321−i321−i32
χ69222222222222000000000000-2-20000−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i3−1−i30000000000001+i31+i30000−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i3−1+i30000000000001−i31−i30000
χ7022-2-22222-2-2-2-20000000000002-20000−1−i3−1−i31+i31+i3−1−i3−1−i3−1−i3−1−i31+i31+i31+i31+i3000000000000−1−i31+i30000−1+i3−1+i31−i31−i3−1+i3−1+i3−1+i3−1+i31−i31−i31−i31−i3000000000000−1+i31−i30000
χ712-22i−2i22-2-22i2i−2i−2i000000000000002−2−i2i2−1−i31+i32ζ22−2ζ22−1−i3−1−i31+i31+i32ζ222ζ22−2ζ22−2ζ2200000000000000−ζ7+ζ13ζ7−ζ13ζ7+ζ13−ζ7−ζ13−1+i31−i32ζ14−2ζ14−1+i3−1+i31−i31−i32ζ142ζ14−2ζ14−2ζ1400000000000000ζ5−ζ23−ζ5+ζ23ζ5+ζ23−ζ5−ζ23
χ722-22i−2i22-2-22i2i−2i−2i00000000000000−22i2−i2−1−i31+i32ζ22−2ζ22−1−i3−1−i31+i31+i32ζ222ζ22−2ζ22−2ζ2200000000000000ζ7−ζ13−ζ7+ζ13−ζ7−ζ13ζ7+ζ13−1+i31−i32ζ14−2ζ14−1+i3−1+i31−i31−i32ζ142ζ14−2ζ14−2ζ1400000000000000−ζ5+ζ23ζ5−ζ23−ζ5−ζ23ζ5+ζ23
χ732-2−2i2i22-2-2−2i−2i2i2i000000000000002−2i2−i2−1−i31+i3−2ζ222ζ22−1−i3−1−i31+i31+i3−2ζ22−2ζ222ζ222ζ2200000000000000−ζ7+ζ13ζ7−ζ13−ζ7−ζ13ζ7+ζ13−1+i31−i3−2ζ142ζ14−1+i3−1+i31−i31−i3−2ζ14−2ζ142ζ142ζ1400000000000000ζ5−ζ23−ζ5+ζ23−ζ5−ζ23ζ5+ζ23
χ742-2−2i2i22-2-2−2i−2i2i2i00000000000000−22−i2i2−1−i31+i3−2ζ222ζ22−1−i3−1−i31+i31+i3−2ζ22−2ζ222ζ222ζ2200000000000000ζ7−ζ13−ζ7+ζ13ζ7+ζ13−ζ7−ζ13−1+i31−i3−2ζ142ζ14−1+i3−1+i31−i31−i3−2ζ14−2ζ142ζ142ζ1400000000000000−ζ5+ζ23ζ5−ζ23ζ5+ζ23−ζ5−ζ23
χ7544441-21-21-21-2020200-1-100-1-1000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i30−1−i30−1−i3001+i321+i32001+i321+i32000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i30−1+i30−1+i3001−i321−i32001−i321−i32000000
χ7644441-21-21-21-20-20-200110011000000−2−2i3−2−2i3−2−2i3−2−2i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i301+i301+i300−1−i32−1−i3200−1−i32−1−i32000000−2+2i3−2+2i3−2+2i3−2+2i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i301−i301−i300−1+i32−1+i3200−1+i32−1+i32000000
χ774444-21-21-21-212020-1-100-1-100000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i32−1−i30−1−i301+i321+i32001+i321+i3200000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i32−1+i30−1+i301−i321−i32001−i321−i3200000000
χ784444-21-21-21-21-20-2011001100000000−2−2i3−2−2i3−2−2i3−2−2i31+i3−1−i321+i3−1−i321+i3−1−i321+i3−1−i321+i301+i30−1−i32−1−i3200−1−i32−1−i3200000000−2+2i3−2+2i3−2+2i3−2+2i31−i3−1+i321−i3−1+i321−i3−1+i321−i3−1+i321−i301−i30−1+i32−1+i3200−1+i32−1+i3200000000
χ7944-4-41-21-2-12-12020-200-1-10011000000−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i30−1−i301+i3001+i321+i3200−1−i32−1−i32000000−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i30−1+i301−i3001−i321−i3200−1+i32−1+i32000000
χ8044-4-41-21-2-12-120-202001100-1-1000000−2−2i3−2−2i32+2i32+2i3−1−i321+i3−1−i321+i31+i32−1−i31+i32−1−i301+i30−1−i300−1−i32−1−i32001+i321+i32000000−2+2i3−2+2i32−2i32−2i3−1+i321−i3−1+i321−i31−i32−1+i31−i32−1+i301−i30−1+i300−1+i32−1+i32001−i321−i32000000
χ8144-4-4-21-212-12-120-20-1-1001100000000−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i32−1−i301+i301+i321+i3200−1−i32−1−i3200000000−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i32−1+i301−i301−i321−i3200−1+i32−1+i3200000000
χ8244-4-4-21-212-12-1-20201100-1-100000000−2−2i3−2−2i32+2i32+2i31+i3−1−i321+i3−1−i32−1−i31+i32−1−i31+i321+i30−1−i30−1−i32−1−i32001+i321+i3200000000−2+2i3−2+2i32−2i32−2i31−i3−1+i321−i3−1+i32−1+i31−i32−1+i31−i321−i30−1+i30−1+i32−1+i32001−i321−i3200000000
χ834-44i−4i1-2-12i−2i−i2i000000−i3i3003−3000000−2−2i32+2i34ζ22−4ζ22−1−i321+i31+i32−1−i3ζ22−2ζ22−ζ222ζ22000000−3+i323−i32002ζ14+ζ22−2ζ14−ζ22000000−2+2i32−2i34ζ14−4ζ14−1+i321−i31−i32−1+i3ζ14−2ζ14−ζ142ζ140000003+i32−3−i3200−ζ14−2ζ22ζ14+2ζ22000000
χ844-44i−4i1-2-12i−2i−i2i000000i3−i300−33000000−2−2i32+2i34ζ22−4ζ22−1−i321+i31+i32−1−i3ζ22−2ζ22−ζ222ζ220000003−i32−3+i3200−2ζ14−ζ222ζ14+ζ22000000−2+2i32−2i34ζ14−4ζ14−1+i321−i31−i32−1+i3ζ14−2ζ14−ζ142ζ14000000−3−i323+i3200ζ14+2ζ22−ζ14−2ζ22000000
χ854-44i−4i-212-1−2ii2i−i0000−i3i3003−300000000−2−2i32+2i34ζ22−4ζ221+i3−1−i32−1−i31+i32−2ζ22ζ222ζ22−ζ220000−3+i323−i32002ζ14+ζ22−2ζ14−ζ2200000000−2+2i32−2i34ζ14−4ζ141−i3−1+i32−1+i31−i32−2ζ14ζ142ζ14−ζ1400003+i32−3−i3200−ζ14−2ζ22ζ14+2ζ2200000000
χ864-44i−4i-212-1−2ii2i−i0000i3−i300−3300000000−2−2i32+2i34ζ22−4ζ221+i3−1−i32−1−i31+i32−2ζ22ζ222ζ22−ζ2200003−i32−3+i3200−2ζ14−ζ222ζ14+ζ2200000000−2+2i32−2i34ζ14−4ζ141−i3−1+i32−1+i31−i32−2ζ14ζ142ζ14−ζ140000−3−i323+i3200ζ14+2ζ22−ζ14−2ζ2200000000
χ874-4−4i4i1-2-12−i2ii−2i000000−i3i300−33000000−2−2i32+2i3−4ζ224ζ22−1−i321+i31+i32−1−i3−ζ222ζ22ζ22−2ζ22000000−3+i323−i3200−2ζ14−ζ222ζ14+ζ22000000−2+2i32−2i3−4ζ144ζ14−1+i321−i31−i32−1+i3−ζ142ζ14ζ14−2ζ140000003+i32−3−i3200ζ14+2ζ22−ζ14−2ζ22000000
χ884-4−4i4i1-2-12−i2ii−2i000000i3−i3003−3000000−2−2i32+2i3−4ζ224ζ22−1−i321+i31+i32−1−i3−ζ222ζ22ζ22−2ζ220000003−i32−3+i32002ζ14+ζ22−2ζ14−ζ22000000−2+2i32−2i3−4ζ144ζ14−1+i321−i31−i32−1+i3−ζ142ζ14ζ14−2ζ14000000−3−i323+i3200−ζ14−2ζ22ζ14+2ζ22000000
χ894-4−4i4i-212-12i−i−2ii0000−i3i300−3300000000−2−2i32+2i3−4ζ224ζ221+i3−1−i32−1−i31+i322ζ22−ζ22−2ζ22ζ220000−3+i323−i3200−2ζ14−ζ222ζ14+ζ2200000000−2+2i32−2i3−4ζ144ζ141−i3−1+i32−1+i31−i322ζ14−ζ14−2ζ14ζ1400003+i32−3−i3200ζ14+2ζ22−ζ14−2ζ2200000000
χ904-4−4i4i-212-12i−i−2ii0000i3−i3003−300000000−2−2i32+2i3−4ζ224ζ221+i3−1−i32−1−i31+i322ζ22−ζ22−2ζ22ζ2200003−i32−3+i32002ζ14+ζ22−2ζ14−ζ2200000000−2+2i32−2i3−4ζ144ζ141−i3−1+i32−1+i31−i322ζ14−ζ14−2ζ14ζ140000−3−i323+i3200−ζ14−2ζ22ζ14+2ζ2200000000

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