Finite Group Databasebeta

← Group #13170597

Character table — Group #13170597

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size112222222444446666661212123622444444488888121212121212242424723366666661212121212181818181818363636108112222222444446666661212123622444444488888121212121212242424723366666661212121212181818181818363636108
order1233466121236121212882424242441212436331266121236121212242424242424121212122266466121266121212882424242441212422664661212661212128824242424412124666612661212661212122424242424241212121222664661212661212128824242424412124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-111111111111111111111-1-1-1-111111111111111111111-1-1-1-111111111111111111111-1-1-1-111111111111111111111-1-1-1-111111111111111111111-1-1-1-1
χ311111111111111-1-1-1-1-1-1111-111111111111111-1-1-1-1-1-1111-111111111111111-1-1-1-1-1-1111-111111111111111-1-1-1-1-1-1111-111111111111111-1-1-1-1-1-1111-111111111111111-1-1-1-1-1-1111-1
χ411111111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-11
χ52222-222-2-222-2-2-200000000002222-222-2-222-2-2-200000000002222-222-2-222-2-2-200000000002222-222-2-222-2-2-200000000002222-222-2-222-2-2-200000000002222-222-2-222-2-2-20000000000
χ6222-122-122-1-1-1-1-10000002-1-10222-122-122-1-1-1-1-10000002-1-10222-122-122-1-1-1-1-10000002-1-10222-122-122-1-1-1-1-10000002-1-10222-122-122-1-1-1-1-10000002-1-10222-122-122-1-1-1-1-10000002-1-10
χ7222-122-122-1-1-1-1-1000000-2110222-122-122-1-1-1-1-1000000-2110222-122-122-1-1-1-1-1000000-2110222-122-122-1-1-1-1-1000000-2110222-122-122-1-1-1-1-1000000-2110222-122-122-1-1-1-1-1000000-2110
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−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−i30222-1-22-1-2-2-1-11110000000i3−i30222-1-22-1-2-2-1-11110000000i3−i30
χ1022-122-12-1-1-1-12-1-122-1-1-1-1000022-122-12-1-1-1-12-1-122-1-1-1-1000022-122-12-1-1-1-12-1-122-1-1-1-1000022-122-12-1-1-1-12-1-122-1-1-1-1000022-122-12-1-1-1-12-1-122-1-1-1-1000022-122-12-1-1-1-12-1-122-1-1-1-10000
χ1122-122-12-1-1-1-12-1-1-2-21111000022-122-12-1-1-1-12-1-1-2-21111000022-122-12-1-1-1-12-1-1-2-21111000022-122-12-1-1-1-12-1-1-2-21111000022-122-12-1-1-1-12-1-1-2-21111000022-122-12-1-1-1-12-1-1-2-211110000
χ1222-12-2-1211-1-1-2110033−3−3000022-12-2-1211-1-1-2110033−3−3000022-12-2-1211-1-1-2110033−3−3000022-12-2-1211-1-1-2110033−3−3000022-12-2-1211-1-1-2110033−3−3000022-12-2-1211-1-1-2110033−3−30000
χ1322-12-2-1211-1-1-21100−3−333000022-12-2-1211-1-1-21100−3−333000022-12-2-1211-1-1-21100−3−333000022-12-2-1211-1-1-21100−3−333000022-12-2-1211-1-1-21100−3−333000022-12-2-1211-1-1-21100−3−3330000
χ142-2220-2-2002-20002−22−22−200002-2220-2-2002-20002−22−22−200002-2220-2-2002-20002−22−22−200002-2220-2-2002-20002−22−22−200002-2220-2-2002-20002−22−22−200002-2220-2-2002-20002−22−22−20000
χ152-2220-2-2002-2000−22−22−2200002-2220-2-2002-2000−22−22−2200002-2220-2-2002-2000−22−22−2200002-2220-2-2002-2000−22−22−2200002-2220-2-2002-2000−22−22−2200002-2220-2-2002-2000−22−22−220000
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+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−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+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−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
χ2044-2-24-2-2-2-211-211000000000044-2-24-2-2-2-211-211000000000044-2-24-2-2-2-211-211000000000044-2-24-2-2-2-211-211000000000044-2-24-2-2-2-211-211000000000044-2-24-2-2-2-211-2110000000000
χ2144-2-2-4-2-222112-1-1000000000044-2-2-4-2-222112-1-1000000000044-2-2-4-2-222112-1-1000000000044-2-2-4-2-222112-1-1000000000044-2-2-4-2-222112-1-1000000000044-2-2-4-2-222112-1-10000000000
χ224-44-20-4200-2200000000000004-44-20-4200-2200000000000004-44-20-4200-2200000000000004-44-20-4200-2200000000000004-44-20-4200-2200000000000004-44-20-4200-220000000000000
χ234-4-2-202223−231-10−3300000000004-4-2-202223−231-10−3300000000004-4-2-202223−231-10−3300000000004-4-2-202223−231-10−3300000000004-4-2-202223−231-10−3300000000004-4-2-202223−231-10−330000000000
χ244-4-2-2022−23231-103−300000000004-4-2-2022−23231-103−300000000004-4-2-2022−23231-103−300000000004-4-2-2022−23231-103−300000000004-4-2-2022−23231-103−300000000004-4-2-2022−23231-103−30000000000
χ25111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2611111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ2711111111111111-1-1-1-1-1-1111-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1111111111111111-1-1-1-1-1-1111-111111111111111-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11
χ2811111111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111111111111111-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1
χ292222-222-2-222-2-2-200000000002222-222-2-222-2-2-20000000000-2-2-2-22-2-222-2-222200000000002222-222-2-222-2-2-200000000002222-222-2-222-2-2-20000000000-2-2-2-22-2-222-2-22220000000000
χ30222-122-122-1-1-1-1-10000002-1-10222-122-122-1-1-1-1-10000002-1-10-2-2-21-2-21-2-211111000000-2110222-122-122-1-1-1-1-10000002-1-10222-122-122-1-1-1-1-10000002-1-10-2-2-21-2-21-2-211111000000-2110
χ31222-122-122-1-1-1-1-1000000-2110222-122-122-1-1-1-1-1000000-2110-2-2-21-2-21-2-2111110000002-1-10222-122-122-1-1-1-1-1000000-2110222-122-122-1-1-1-1-1000000-2110-2-2-21-2-21-2-2111110000002-1-10
χ32222-1-22-1-2-2-1-11110000000−i3i30222-1-22-1-2-2-1-11110000000−i3i30-2-2-212-212211-1-1-10000000i3−i30222-1-22-1-2-2-1-11110000000−i3i30222-1-22-1-2-2-1-11110000000−i3i30-2-2-212-212211-1-1-10000000i3−i30
χ33222-1-22-1-2-2-1-11110000000i3−i30222-1-22-1-2-2-1-11110000000i3−i30-2-2-212-212211-1-1-10000000−i3i30222-1-22-1-2-2-1-11110000000i3−i30222-1-22-1-2-2-1-11110000000i3−i30-2-2-212-212211-1-1-10000000−i3i30
χ3422-122-12-1-1-1-12-1-122-1-1-1-1000022-122-12-1-1-1-12-1-122-1-1-1-10000-2-21-2-21-21111-211-2-21111000022-122-12-1-1-1-12-1-122-1-1-1-1000022-122-12-1-1-1-12-1-122-1-1-1-10000-2-21-2-21-21111-211-2-211110000
χ3522-122-12-1-1-1-12-1-1-2-21111000022-122-12-1-1-1-12-1-1-2-211110000-2-21-2-21-21111-21122-1-1-1-1000022-122-12-1-1-1-12-1-1-2-21111000022-122-12-1-1-1-12-1-1-2-211110000-2-21-2-21-21111-21122-1-1-1-10000
χ3622-12-2-1211-1-1-2110033−3−3000022-12-2-1211-1-1-2110033−3−30000-2-21-221-2-1-1112-1-100−3−333000022-12-2-1211-1-1-2110033−3−3000022-12-2-1211-1-1-2110033−3−30000-2-21-221-2-1-1112-1-100−3−3330000
χ3722-12-2-1211-1-1-21100−3−333000022-12-2-1211-1-1-21100−3−3330000-2-21-221-2-1-1112-1-10033−3−3000022-12-2-1211-1-1-21100−3−333000022-12-2-1211-1-1-21100−3−3330000-2-21-221-2-1-1112-1-10033−3−30000
χ382-2220-2-2002-20002−22−22−200002-2220-2-2002-20002−22−22−20000-22-2-202200-22000−22−22−2200002-2220-2-2002-20002−22−22−200002-2220-2-2002-20002−22−22−20000-22-2-202200-22000−22−22−220000
χ392-2220-2-2002-2000−22−22−2200002-2220-2-2002-2000−22−22−220000-22-2-202200-220002−22−22−200002-2220-2-2002-2000−22−22−2200002-2220-2-2002-2000−22−22−220000-22-2-202200-220002−22−22−20000
χ402-2-1201-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300002-2-1201-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000-221-20-12−331-10−33−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300002-2-1201-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+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
χ412-2-1201-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300002-2-1201-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000-221-20-12−331-10−332−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300002-2-1201-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−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
χ422-2-1201-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700002-2-1201-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000-221-20-123−31-103−3−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700002-2-1201-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+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
χ432-2-1201-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ700002-2-1201-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000-221-20-123−31-103−32−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ700002-2-1201-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−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
χ4444-2-24-2-2-2-211-211000000000044-2-24-2-2-2-211-2110000000000-4-422-42222-1-12-1-1000000000044-2-24-2-2-2-211-211000000000044-2-24-2-2-2-211-2110000000000-4-422-42222-1-12-1-10000000000
χ4544-2-2-4-2-222112-1-1000000000044-2-2-4-2-222112-1-10000000000-4-422422-2-2-1-1-211000000000044-2-2-4-2-222112-1-1000000000044-2-2-4-2-222112-1-10000000000-4-422422-2-2-1-1-2110000000000
χ464-44-20-4200-2200000000000004-44-20-4200-220000000000000-44-4204-2002-200000000000004-44-20-4200-2200000000000004-44-20-4200-220000000000000-44-4204-2002-20000000000000
χ474-4-2-202223−231-10−3300000000004-4-2-202223−231-10−330000000000-44220-2-2−2323-1103−300000000004-4-2-202223−231-10−3300000000004-4-2-202223−231-10−330000000000-44220-2-2−2323-1103−30000000000
χ484-4-2-2022−23231-103−300000000004-4-2-2022−23231-103−30000000000-44220-2-223−23-110−3300000000004-4-2-2022−23231-103−300000000004-4-2-2022−23231-103−30000000000-44220-2-223−23-110−330000000000
χ49222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ5022222222222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111100000000000000000000000022222222222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000000000000
χ5122222222222222-2-2-2-2-2-2222-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1100000000000000000000000022222222222222-2-2-2-2-2-2222-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11000000000000000000000000
χ5222222222222222-2-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-100000000000000000000000022222222222222-2-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1000000000000000000000000
χ534444-444-4-444-4-4-40000000000-2-2-2-22-2-222-2-222200000000000000000000000000000000004444-444-4-444-4-4-40000000000-2-2-2-22-2-222-2-22220000000000000000000000000000000000
χ54444-244-244-2-2-2-2-20000004-2-20-2-2-21-2-21-2-211111000000-2110000000000000000000000000444-244-244-2-2-2-2-20000004-2-20-2-2-21-2-21-2-211111000000-2110000000000000000000000000
χ55444-244-244-2-2-2-2-2000000-4220-2-2-21-2-21-2-2111110000002-1-10000000000000000000000000444-244-244-2-2-2-2-2000000-4220-2-2-21-2-21-2-2111110000002-1-10000000000000000000000000
χ56444-2-44-2-4-4-2-22220000000−2i32i30-2-2-212-212211-1-1-10000000i3−i30000000000000000000000000444-2-44-2-4-4-2-22220000000−2i32i30-2-2-212-212211-1-1-10000000i3−i30000000000000000000000000
χ57444-2-44-2-4-4-2-222200000002i3−2i30-2-2-212-212211-1-1-10000000−i3i30000000000000000000000000444-2-44-2-4-4-2-222200000002i3−2i30-2-2-212-212211-1-1-10000000−i3i30000000000000000000000000
χ5844-244-24-2-2-2-24-2-244-2-2-2-20000-2-21-2-21-21111-211-2-21111000000000000000000000000000044-244-24-2-2-2-24-2-244-2-2-2-20000-2-21-2-21-21111-211-2-211110000000000000000000000000000
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χ1194-4-2-202223−231-10−3300000000004-4-2-202223−231-10−330000000000-44220-2-2−2323-1103−30000000000-44220-2-2−2323-1103−30000000000-44220-2-2−2323-1103−300000000004-4-2-202223−231-10−330000000000
χ1204-4-2-2022−23231-103−300000000004-4-2-2022−23231-103−30000000000-44220-2-223−23-110−330000000000-44220-2-223−23-110−330000000000-44220-2-223−23-110−3300000000004-4-2-2022−23231-103−30000000000
χ121222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111111111111000000000000000000000000
χ12222222222222222222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222211111111111111111111-1-1-1-1000000000000000000000000
χ12322222222222222-2-2-2-2-2-2222-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2211111111111111-1-1-1-1-1-1111-1000000000000000000000000
χ12422222222222222-2-2-2-2-2-2-2-2-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1000000000000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222222-211111111111111-1-1-1-1-1-1-1-1-11000000000000000000000000
χ1254444-444-4-444-4-4-40000000000-2-2-2-22-2-222-2-22220000000000000000000000000000000000-4-4-4-44-4-444-4-444400000000002222-222-2-222-2-2-20000000000000000000000000000000000
χ126444-244-244-2-2-2-2-20000004-2-20-2-2-21-2-21-2-211111000000-2110000000000000000000000000-4-4-42-4-42-4-422222000000-4220222-122-122-1-1-1-1-10000002-1-10000000000000000000000000
χ127444-244-244-2-2-2-2-2000000-4220-2-2-21-2-21-2-2111110000002-1-10000000000000000000000000-4-4-42-4-42-4-4222220000004-2-20222-122-122-1-1-1-1-1000000-2110000000000000000000000000
χ128444-2-44-2-4-4-2-22220000000−2i32i30-2-2-212-212211-1-1-10000000i3−i30000000000000000000000000-4-4-424-424422-2-2-200000002i3−2i30222-1-22-1-2-2-1-11110000000−i3i30000000000000000000000000
χ129444-2-44-2-4-4-2-222200000002i3−2i30-2-2-212-212211-1-1-10000000−i3i30000000000000000000000000-4-4-424-424422-2-2-20000000−2i32i30222-1-22-1-2-2-1-11110000000i3−i30000000000000000000000000
χ13044-244-24-2-2-2-24-2-244-2-2-2-20000-2-21-2-21-21111-211-2-211110000000000000000000000000000-4-42-4-42-42222-422-4-42222000022-122-12-1-1-1-12-1-122-1-1-1-10000000000000000000000000000
χ13144-244-24-2-2-2-24-2-2-4-422220000-2-21-2-21-21111-21122-1-1-1-10000000000000000000000000000-4-42-4-42-42222-42244-2-2-2-2000022-122-12-1-1-1-12-1-1-2-211110000000000000000000000000000
χ13244-24-4-2422-2-2-422002323−23−230000-2-21-221-2-1-1112-1-100−3−3330000000000000000000000000000-4-42-442-4-2-2224-2-200−23−232323000022-12-2-1211-1-1-2110033−3−30000000000000000000000000000
χ13344-24-4-2422-2-2-42200−23−2323230000-2-21-221-2-1-1112-1-10033−3−30000000000000000000000000000-4-42-442-4-2-2224-2-2002323−23−23000022-12-2-1211-1-1-21100−3−3330000000000000000000000000000
χ1344-4440-4-4004-400022−2222−2222−220000-22-2-202200-22000−22−22−220000000000000000000000000000-44-4-404400-44000−2222−2222−222200002-2220-2-2002-20002−22−22−20000000000000000000000000000
χ1354-4440-4-4004-4000−2222−2222−22220000-22-2-202200-220002−22−22−20000000000000000000000000000-44-4-404400-4400022−2222−2222−2200002-2220-2-2002-2000−22−22−220000000000000000000000000000
χ1364-4-2402-423−23-22023−2322−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ230000-221-20-12−331-10−33−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000000000000000-442-40-24−23232-20−2323−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ2300002-2-1201-23−3-1103−32−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000000000000000
χ1374-4-2402-423−23-22023−23−2222−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ230000-221-20-12−331-10−332−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000000000000000000000-442-40-24−23232-20−232322−222ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ2300002-2-1201-23−3-1103−3−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000000000000000000000
χ1384-4-2402-4−2323-220−232322−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ70000-221-20-123−31-103−3−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000000000000000-442-40-2423−232-2023−23−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ700002-2-1201-2−33-110−332−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000000000000000
χ1394-4-2402-4−2323-220−2323−2222−2ζ13+2ζ232ζ13−2ζ23−2ζ5+2ζ72ζ5−2ζ70000-221-20-123−31-103−32−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000000000000000000000-442-40-2423−232-2023−2322−222ζ13−2ζ23−2ζ13+2ζ232ζ5−2ζ7−2ζ5+2ζ700002-2-1201-2−33-110−33−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000000000000000000000
χ14088-4-48-4-4-4-422-4220000000000-4-422-42222-1-12-1-10000000000000000000000000000000000-8-844-84444-2-24-2-2000000000044-2-24-2-2-2-211-2110000000000000000000000000000000000
χ14188-4-4-8-4-444224-2-20000000000-4-422422-2-2-1-1-2110000000000000000000000000000000000-8-844844-4-4-2-2-422000000000044-2-2-4-2-222112-1-10000000000000000000000000000000000
χ1428-88-40-8400-440000000000000-44-4204-2002-20000000000000000000000000000000000000-88-8408-4004-400000000000004-44-20-4200-220000000000000000000000000000000000000
χ1438-8-4-404443−432-20−23230000000000-44220-2-2−2323-1103−30000000000000000000000000000000000-88440-4-4−4343-22023−2300000000004-4-2-202223−231-10−330000000000000000000000000000000000
χ1448-8-4-4044−43432-2023−230000000000-44220-2-223−23-110−330000000000000000000000000000000000-88440-4-443−43-220−232300000000004-4-2-2022−23231-103−30000000000000000000000000000000000

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