Finite Group Databasebeta

← Group #10590382

Character table — Group #10590382

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222224444466666612121236112222222444446666661212123611222222244444666666121212361122222224444466666612121236
order12334661212361212128824242424412124441212412121212121212121288242424244121242266466121266121212882424242441212444121241212121212121212128824242424412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111111111111111111111-1-1-1-111111111111111111111-1-1-1-111111111111111111111-1-1-1-1
χ311111111111111-1-1-1-1-1-1111-111111111111111-1-1-1-1-1-1111-111111111111111-1-1-1-1-1-1111-111111111111111-1-1-1-1-1-1111-1
χ411111111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-11
χ52222-222-2-222-2-2-200000000002222-222-2-222-2-2-200000000002222-222-2-222-2-2-200000000002222-222-2-222-2-2-20000000000
χ6222-122-122-1-1-1-1-10000002-1-10222-122-122-1-1-1-1-10000002-1-10222-122-122-1-1-1-1-10000002-1-10222-122-122-1-1-1-1-10000002-1-10
χ7222-122-122-1-1-1-1-1000000-2110222-122-122-1-1-1-1-1000000-2110222-122-122-1-1-1-1-1000000-2110222-122-122-1-1-1-1-1000000-2110
χ8222-1-22-1-2-2-1-11110000000−i3i30222-1-22-1-2-2-1-11110000000−i3i30222-1-22-1-2-2-1-11110000000−i3i30222-1-22-1-2-2-1-11110000000−i3i30
χ9222-1-22-1-2-2-1-11110000000i3−i30222-1-22-1-2-2-1-11110000000i3−i30222-1-22-1-2-2-1-11110000000i3−i30222-1-22-1-2-2-1-11110000000i3−i30
χ1022-122-12-1-1-1-12-1-122-1-1-1-1000022-122-12-1-1-1-12-1-122-1-1-1-1000022-122-12-1-1-1-12-1-122-1-1-1-1000022-122-12-1-1-1-12-1-122-1-1-1-10000
χ1122-122-12-1-1-1-12-1-1-2-21111000022-122-12-1-1-1-12-1-1-2-21111000022-122-12-1-1-1-12-1-1-2-21111000022-122-12-1-1-1-12-1-1-2-211110000
χ1222-12-2-1211-1-1-2110033−3−3000022-12-2-1211-1-1-2110033−3−3000022-12-2-1211-1-1-2110033−3−3000022-12-2-1211-1-1-2110033−3−30000
χ1322-12-2-1211-1-1-21100−3−333000022-12-2-1211-1-1-21100−3−333000022-12-2-1211-1-1-21100−3−333000022-12-2-1211-1-1-21100−3−3330000
χ142-2220-2-2002-20002−22−22−200002-2220-2-2002-20002−22−22−200002-2220-2-2002-20002−22−22−200002-2220-2-2002-20002−22−22−20000
χ152-2220-2-2002-2000−22−22−2200002-2220-2-2002-2000−22−22−2200002-2220-2-2002-2000−22−22−2200002-2220-2-2002-2000−22−22−220000
χ162-2-1201-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300002-2-1201-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300002-2-1201-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300002-2-1201-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000
χ172-2-1201-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300002-2-1201-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300002-2-1201-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300002-2-1201-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000
χ182-2-1201-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700002-2-1201-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700002-2-1201-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700002-2-1201-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000
χ192-2-1201-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700002-2-1201-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700002-2-1201-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700002-2-1201-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000
χ2044-2-24-2-2-2-211-211000000000044-2-24-2-2-2-211-211000000000044-2-24-2-2-2-211-211000000000044-2-24-2-2-2-211-2110000000000
χ2144-2-2-4-2-222112-1-1000000000044-2-2-4-2-222112-1-1000000000044-2-2-4-2-222112-1-1000000000044-2-2-4-2-222112-1-10000000000
χ224-44-20-4200-2200000000000004-44-20-4200-2200000000000004-44-20-4200-2200000000000004-44-20-4200-220000000000000
χ234-4-2-202223−231-10−3300000000004-4-2-202223−231-10−3300000000004-4-2-202223−231-10−3300000000004-4-2-202223−231-10−330000000000
χ244-4-2-2022−23231-103−300000000004-4-2-2022−23231-103−300000000004-4-2-2022−23231-103−300000000004-4-2-2022−23231-103−30000000000
χ25111111111111111111111111iiiiiiiiiiiiiiiiiiiiiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i
χ2611111111111111111111-1-1-1-1iiiiiiiiiiiiiiiiiiii−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii
χ2711111111111111-1-1-1-1-1-1111-1iiiiiiiiiiiiii−i−i−i−i−i−iiii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−i−i−ii
χ2811111111111111-1-1-1-1-1-1-1-1-11iiiiiiiiiiiiii−i−i−i−i−i−i−i−i−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i
χ292222-222-2-222-2-2-200000000002i2i2i2i−2i2i2i−2i−2i2i2i−2i−2i−2i0000000000-2-2-2-22-2-222-2-22220000000000−2i−2i−2i−2i2i−2i−2i2i2i−2i−2i2i2i2i0000000000
χ30222-122-122-1-1-1-1-10000002-1-102i2i2i−i2i2i−i2i2i−i−i−i−i−i0000002i−i−i0-2-2-21-2-21-2-211111000000-2110−2i−2i−2ii−2i−2ii−2i−2iiiiii000000−2iii0
χ31222-122-122-1-1-1-1-1000000-21102i2i2i−i2i2i−i2i2i−i−i−i−i−i000000−2iii0-2-2-21-2-21-2-2111110000002-1-10−2i−2i−2ii−2i−2ii−2i−2iiiiii0000002i−i−i0
χ32222-1-22-1-2-2-1-11110000000−i3i302i2i2i−i−2i2i−i−2i−2i−i−iiii00000003−30-2-2-212-212211-1-1-10000000i3−i30−2i−2i−2ii2i−2ii2i2iii−i−i−i0000000−330
χ33222-1-22-1-2-2-1-11110000000i3−i302i2i2i−i−2i2i−i−2i−2i−i−iiii0000000−330-2-2-212-212211-1-1-10000000−i3i30−2i−2i−2ii2i−2ii2i2iii−i−i−i00000003−30
χ3422-122-12-1-1-1-12-1-122-1-1-1-100002i2i−i2i2i−i2i−i−i−i−i2i−i−i2i2i−i−i−i−i0000-2-21-2-21-21111-211-2-211110000−2i−2ii−2i−2ii−2iiiii−2iii−2i−2iiiii0000
χ3522-122-12-1-1-1-12-1-1-2-2111100002i2i−i2i2i−i2i−i−i−i−i2i−i−i−2i−2iiiii0000-2-21-2-21-21111-21122-1-1-1-10000−2i−2ii−2i−2ii−2iiiii−2iii2i2i−i−i−i−i0000
χ3622-12-2-1211-1-1-2110033−3−300002i2i−i2i−2i−i2iii−i−i−2iii00i3i3−i3−i30000-2-21-221-2-1-1112-1-100−3−3330000−2i−2ii−2i2ii−2i−i−iii2i−i−i00−i3−i3i3i30000
χ3722-12-2-1211-1-1-21100−3−33300002i2i−i2i−2i−i2iii−i−i−2iii00−i3−i3i3i30000-2-21-221-2-1-1112-1-10033−3−30000−2i−2ii−2i2ii−2i−i−iii2i−i−i00i3i3−i3−i30000
χ382-2220-2-2002-20002−22−22−200002i−2i2i2i0−2i−2i002i−2i000i2−i2i2−i2i2−i20000-22-2-202200-22000−22−22−220000−2i2i−2i−2i02i2i00−2i2i000−i2i2−i2i2−i2i20000
χ392-2220-2-2002-2000−22−22−2200002i−2i2i2i0−2i−2i002i−2i000−i2i2−i2i2−i2i20000-22-2-202200-220002−22−22−20000−2i2i−2i−2i02i2i00−2i2i000i2−i2i2−i2i2−i20000
χ402-2-1201-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300002i−2i−i2i0i−2ii3−i3−ii0i3−i3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000-221-20-12−331-10−33−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000−2i2ii−2i0−i2i−i3i3i−i0−i3i3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000
χ412-2-1201-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300002i−2i−i2i0i−2ii3−i3−ii0i3−i3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000-221-20-12−331-10−332−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000−2i2ii−2i0−i2i−i3i3i−i0−i3i3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000
χ422-2-1201-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700002i−2i−i2i0i−2i−i3i3−ii0−i3i3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000-221-20-123−31-103−3−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000−2i2ii−2i0−i2ii3−i3i−i0i3−i3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000
χ432-2-1201-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700002i−2i−i2i0i−2i−i3i3−ii0−i3i3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000-221-20-123−31-103−32−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000−2i2ii−2i0−i2ii3−i3i−i0i3−i3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000
χ4444-2-24-2-2-2-211-21100000000004i4i−2i−2i4i−2i−2i−2i−2iii−2iii0000000000-4-422-42222-1-12-1-10000000000−4i−4i2i2i−4i2i2i2i2i−i−i2i−i−i0000000000
χ4544-2-2-4-2-222112-1-100000000004i4i−2i−2i−4i−2i−2i2i2iii2i−i−i0000000000-4-422422-2-2-1-1-2110000000000−4i−4i2i2i4i2i2i−2i−2i−i−i−2iii0000000000
χ464-44-20-4200-2200000000000004i−4i4i−2i0−4i2i00−2i2i0000000000000-44-4204-2002-20000000000000−4i4i−4i2i04i−2i002i−2i0000000000000
χ474-4-2-202223−231-10−3300000000004i−4i−2i−2i02i2i2i3−2i3i−i0−i3i30000000000-44220-2-2−2323-1103−30000000000−4i4i2i2i0−2i−2i−2i32i3−ii0i3−i30000000000
χ484-4-2-2022−23231-103−300000000004i−4i−2i−2i02i2i−2i32i3i−i0i3−i30000000000-44220-2-223−23-110−330000000000−4i4i2i2i0−2i−2i2i3−2i3−ii0−i3i30000000000
χ49111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ5011111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11
χ5211111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1
χ532222-222-2-222-2-2-20000000000-2-2-2-22-2-222-2-222200000000002222-222-2-222-2-2-20000000000-2-2-2-22-2-222-2-22220000000000
χ54222-122-122-1-1-1-1-10000002-1-10-2-2-21-2-21-2-211111000000-2110222-122-122-1-1-1-1-10000002-1-10-2-2-21-2-21-2-211111000000-2110
χ55222-122-122-1-1-1-1-1000000-2110-2-2-21-2-21-2-2111110000002-1-10222-122-122-1-1-1-1-1000000-2110-2-2-21-2-21-2-2111110000002-1-10
χ56222-1-22-1-2-2-1-11110000000−i3i30-2-2-212-212211-1-1-10000000i3−i30222-1-22-1-2-2-1-11110000000−i3i30-2-2-212-212211-1-1-10000000i3−i30
χ57222-1-22-1-2-2-1-11110000000i3−i30-2-2-212-212211-1-1-10000000−i3i30222-1-22-1-2-2-1-11110000000i3−i30-2-2-212-212211-1-1-10000000−i3i30
χ5822-122-12-1-1-1-12-1-122-1-1-1-10000-2-21-2-21-21111-211-2-21111000022-122-12-1-1-1-12-1-122-1-1-1-10000-2-21-2-21-21111-211-2-211110000
χ5922-122-12-1-1-1-12-1-1-2-211110000-2-21-2-21-21111-21122-1-1-1-1000022-122-12-1-1-1-12-1-1-2-211110000-2-21-2-21-21111-21122-1-1-1-10000
χ6022-12-2-1211-1-1-2110033−3−30000-2-21-221-2-1-1112-1-100−3−333000022-12-2-1211-1-1-2110033−3−30000-2-21-221-2-1-1112-1-100−3−3330000
χ6122-12-2-1211-1-1-21100−3−3330000-2-21-221-2-1-1112-1-10033−3−3000022-12-2-1211-1-1-21100−3−3330000-2-21-221-2-1-1112-1-10033−3−30000
χ622-2220-2-2002-20002−22−22−20000-22-2-202200-22000−22−22−2200002-2220-2-2002-20002−22−22−20000-22-2-202200-22000−22−22−220000
χ632-2220-2-2002-2000−22−22−220000-22-2-202200-220002−22−22−200002-2220-2-2002-2000−22−22−220000-22-2-202200-220002−22−22−20000
χ642-2-1201-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000-221-20-12−331-10−33−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300002-2-1201-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000-221-20-12−331-10−33−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000
χ652-2-1201-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000-221-20-12−331-10−332−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300002-2-1201-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000-221-20-12−331-10−332−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000
χ662-2-1201-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000-221-20-123−31-103−3−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700002-2-1201-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000-221-20-123−31-103−3−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000
χ672-2-1201-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000-221-20-123−31-103−32−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700002-2-1201-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000-221-20-123−31-103−32−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000
χ6844-2-24-2-2-2-211-2110000000000-4-422-42222-1-12-1-1000000000044-2-24-2-2-2-211-2110000000000-4-422-42222-1-12-1-10000000000
χ6944-2-2-4-2-222112-1-10000000000-4-422422-2-2-1-1-211000000000044-2-2-4-2-222112-1-10000000000-4-422422-2-2-1-1-2110000000000
χ704-44-20-4200-220000000000000-44-4204-2002-200000000000004-44-20-4200-220000000000000-44-4204-2002-20000000000000
χ714-4-2-202223−231-10−330000000000-44220-2-2−2323-1103−300000000004-4-2-202223−231-10−330000000000-44220-2-2−2323-1103−30000000000
χ724-4-2-2022−23231-103−30000000000-44220-2-223−23-110−3300000000004-4-2-2022−23231-103−30000000000-44220-2-223−23-110−330000000000
χ73111111111111111111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiiiiiiiiiii
χ7411111111111111111111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiiiiiiiiiiiiiii−i−i−i−i
χ7511111111111111-1-1-1-1-1-1111-1−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiii−i−i−ii-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11iiiiiiiiiiiiii−i−i−i−i−i−iiii−i
χ7611111111111111-1-1-1-1-1-1-1-1-11−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiii−i-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1iiiiiiiiiiiiii−i−i−i−i−i−i−i−i−ii
χ772222-222-2-222-2-2-20000000000−2i−2i−2i−2i2i−2i−2i2i2i−2i−2i2i2i2i0000000000-2-2-2-22-2-222-2-222200000000002i2i2i2i−2i2i2i−2i−2i2i2i−2i−2i−2i0000000000
χ78222-122-122-1-1-1-1-10000002-1-10−2i−2i−2ii−2i−2ii−2i−2iiiiii000000−2iii0-2-2-21-2-21-2-211111000000-21102i2i2i−i2i2i−i2i2i−i−i−i−i−i0000002i−i−i0
χ79222-122-122-1-1-1-1-1000000-2110−2i−2i−2ii−2i−2ii−2i−2iiiiii0000002i−i−i0-2-2-21-2-21-2-2111110000002-1-102i2i2i−i2i2i−i2i2i−i−i−i−i−i000000−2iii0
χ80222-1-22-1-2-2-1-11110000000−i3i30−2i−2i−2ii2i−2ii2i2iii−i−i−i0000000−330-2-2-212-212211-1-1-10000000i3−i302i2i2i−i−2i2i−i−2i−2i−i−iiii00000003−30
χ81222-1-22-1-2-2-1-11110000000i3−i30−2i−2i−2ii2i−2ii2i2iii−i−i−i00000003−30-2-2-212-212211-1-1-10000000−i3i302i2i2i−i−2i2i−i−2i−2i−i−iiii0000000−330
χ8222-122-12-1-1-1-12-1-122-1-1-1-10000−2i−2ii−2i−2ii−2iiiii−2iii−2i−2iiiii0000-2-21-2-21-21111-211-2-2111100002i2i−i2i2i−i2i−i−i−i−i2i−i−i2i2i−i−i−i−i0000
χ8322-122-12-1-1-1-12-1-1-2-211110000−2i−2ii−2i−2ii−2iiiii−2iii2i2i−i−i−i−i0000-2-21-2-21-21111-21122-1-1-1-100002i2i−i2i2i−i2i−i−i−i−i2i−i−i−2i−2iiiii0000
χ8422-12-2-1211-1-1-2110033−3−30000−2i−2ii−2i2ii−2i−i−iii2i−i−i00−i3−i3i3i30000-2-21-221-2-1-1112-1-100−3−33300002i2i−i2i−2i−i2iii−i−i−2iii00i3i3−i3−i30000
χ8522-12-2-1211-1-1-21100−3−3330000−2i−2ii−2i2ii−2i−i−iii2i−i−i00i3i3−i3−i30000-2-21-221-2-1-1112-1-10033−3−300002i2i−i2i−2i−i2iii−i−i−2iii00−i3−i3i3i30000
χ862-2220-2-2002-20002−22−22−20000−2i2i−2i−2i02i2i00−2i2i000−i2i2−i2i2−i2i20000-22-2-202200-22000−22−22−2200002i−2i2i2i0−2i−2i002i−2i000i2−i2i2−i2i2−i20000
χ872-2220-2-2002-2000−22−22−220000−2i2i−2i−2i02i2i00−2i2i000i2−i2i2−i2i2−i20000-22-2-202200-220002−22−22−200002i−2i2i2i0−2i−2i002i−2i000−i2i2−i2i2−i2i20000
χ882-2-1201-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000−2i2ii−2i0−i2i−i3i3i−i0−i3i3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000-221-20-12−331-10−33−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300002i−2i−i2i0i−2ii3−i3−ii0i3−i3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000
χ892-2-1201-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000−2i2ii−2i0−i2i−i3i3i−i0−i3i3i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000-221-20-12−331-10−332−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300002i−2i−i2i0i−2ii3−i3−ii0i3−i3−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000
χ902-2-1201-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000−2i2ii−2i0−i2ii3−i3i−i0i3−i3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000-221-20-123−31-103−3−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700002i−2i−i2i0i−2i−i3i3−ii0−i3i3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000
χ912-2-1201-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000−2i2ii−2i0−i2ii3−i3i−i0i3−i3i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000-221-20-123−31-103−32−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700002i−2i−i2i0i−2i−i3i3−ii0−i3i3−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000
χ9244-2-24-2-2-2-211-2110000000000−4i−4i2i2i−4i2i2i2i2i−i−i2i−i−i0000000000-4-422-42222-1-12-1-100000000004i4i−2i−2i4i−2i−2i−2i−2iii−2iii0000000000
χ9344-2-2-4-2-222112-1-10000000000−4i−4i2i2i4i2i2i−2i−2i−i−i−2iii0000000000-4-422422-2-2-1-1-21100000000004i4i−2i−2i−4i−2i−2i2i2iii2i−i−i0000000000
χ944-44-20-4200-220000000000000−4i4i−4i2i04i−2i002i−2i0000000000000-44-4204-2002-200000000000004i−4i4i−2i0−4i2i00−2i2i0000000000000
χ954-4-2-202223−231-10−330000000000−4i4i2i2i0−2i−2i−2i32i3−ii0i3−i30000000000-44220-2-2−2323-1103−300000000004i−4i−2i−2i02i2i2i3−2i3i−i0−i3i30000000000
χ964-4-2-2022−23231-103−30000000000−4i4i2i2i0−2i−2i2i3−2i3−ii0−i3i30000000000-44220-2-223−23-110−3300000000004i−4i−2i−2i02i2i−2i32i3i−i0i3−i30000000000

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