Finite Group Databasebeta

← Group #13171669

Character table — Group #13171669

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1122222223344444444446666666668888888888991212121212121212121212121212121616161616181818181818182424242424242424242424242427273636363636363636484854727272108
order12333466644333466612121228888121212123612121212121212124422466121224242424242424241212121212288881212666666612122424242422224624242424612466124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111111111111111-1-111-1111111-1-111-1-111111-111-1-1-1-11111111-1-111-1-1-1-1-1-11-111-1-11-1-1-1-11-1
χ31111111111111111111111-1-11111111111111111-1-11-111111-1-111-1-11111111-1-1-111-1-11-11-111111-1-111-1-11-1-1-1-1-111-11-11-1-1-1
χ41111111111111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111-11-1111-1-1-1-1-1-111-11-11-1-1-1-1-1-11-11-11
χ511111111111111-111111111111111111-1-1-11-1-11111-1-1-1111111111111-1-11-1-11111111-1-1-1-11-1-1-1-1111111-1-1-111111-1-11-1-1-1-1
χ611111111111111-1111111111-1-1111111-1-1-11-1-111-1-1-1-11111111-1-111-1-1-1-11-1-1-111-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-111-1-1-11-111-11
χ711111111111111-11111111-1-111111111-1-1-11-1-111-1-1-11-11111-1-111-1-111-1-11-1-1-1-1-111-1-1-11-111-1-1-1-1-1-111-1-1-111-1-1-1111-1-1-1111
χ811111111111111-11111111-1-1-1-1111111-1-1-11-1-11111-1111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-11-111-1-111-1-1-1-1111-111-1-1-1-11111-11-1
χ9111111111-1-11111111111-11111-1-1-1-1111111111111-111-1-1-1-111111111111111-1-1-1-111-11-11-1-1-1111111-1-1-11-11-1-1-1-111-1-11-1-1
χ10111111111-1-11111111111-111-1-1-1-1-1-11111111111-1-1-11-1-1-1-1-111-1-111-1-111111-1-1-111-1-1-11-11-1-1-1-1-111-1-1111-1-1-1-1-1111-111-1-11
χ11111111111-1-11111111111-1-1-111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-111-1-11111111-111-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11-111-1-1-111-1-111
χ12111111111-1-11111111111-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1
χ13111111111-1-1111-1111111-11111-1-1-1-111-1-1-11-1-111111-1-1-1-1-1-111111111-1-11-1-11-1-1-1-1111-11-1-111-1-11111-1-11-111-1-1-1-1-1-1-11-111
χ14111111111-1-1111-1111111-111-1-1-1-1-1-111-1-1-11-1-111-1-11-11-1-1-1-111-1-111-1-1-1-11-1-1-1-1-111-1-11-11-1-1111111-1-111-111-1-1-111-111-111-1
χ15111111111-1-1111-1111111-1-1-111-1-1-1-111-1-1-11-1-111-1-111-1-1-1-1-1-1-111-1-111-1-11-1-1-111-1-1-1-11111-111-1-1-1-1111111-1-111-1-11-1111-1-1
χ16111111111-1-1111-1111111-1-1-1-1-1-1-1-1-111-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111111-11111-1-1-1-1-1-1-1-1-11111111-1-1-1-11
χ1722222-2222222220222-2-2-2-20000222222000-200-2-222000-2-2220000000000-200-20000220000-20000000022000-2000000-20000
χ1822222-2222222220222-2-2-2-20000222222000-200-2-2-2-2000-2-2220000000000-20020000-2-20000-200000000-2-2000200000020000
χ1922222-2222-2-22220222-2-2-220000-2-2-2-222000-200-2-22200022-2-20000000000-200-20000220000200000000-2-2000-200000020000
χ2022222-2222-2-22220222-2-2-220000-2-2-2-222000-200-2-2-2-200022-2-20000000000-20020000-2-20000200000000220002000000-20000
χ212222-122-1200-1-122-12-1-122022220000-1-12-12222-1-1220220000-1-1-1-12222-1-1-1-1-120000-1-1020-10002-1-1-1-1-100020-10000-1-100-100
χ222222-122-1200-1-122-12-1-122022-2-20000-1-12-12222-1-1-2-202-20000-1-11122-2-2-1-1-1-1-1-2000011020-1000-21-1-111000-2010000-1100100
χ232222-122-1200-1-122-12-1-1220-2-2220000-1-12-12222-1-1-2-20-22000011-1-1-2-222-1-1-1-1-1-20000110-2010002-111-1-1000-20100001-100100
χ242222-122-1200-1-122-12-1-1220-2-2-2-20000-1-12-12222-1-1220-2-200001111-2-2-2-2-1-1-1-1-120000-1-10-201000-21111100020-100001100-100
χ252222-122-1200-1-12-2-12-1-122022220000-1-1-21-22-2-2-1-1220-2-20000-1-1-1-1222211-11120000-1-10-201000-21-1-1-1-1000-20-100001100100
χ262222-122-1200-1-12-2-12-1-122022-2-20000-1-1-21-22-2-2-1-1-2-20-220000-1-11122-2-211-111-20000110-2010002-1-1-11100020100001-100-100
χ272222-122-1200-1-12-2-12-1-1220-2-2220000-1-1-21-22-2-2-1-1-2-202-2000011-1-1-2-22211-111-2000011020-1000-2111-1-10002010000-1100-100
χ282222-122-1200-1-12-2-12-1-1220-2-2-2-20000-1-1-21-22-2-2-1-12202200001111-2-2-2-211-11120000-1-1020-10002-11111000-20-10000-1-100100
χ29222-122-12222-12-122-1-12-1220022-1-122-1-1-122-1-1-12-1002022-1-1-1002200-1-12-1-1-1-1000220020-10-1-1-1-1200-1-100200000-1-10-10-1000
χ30222-122-12222-12-122-1-12-12200-2-2-1-122-1-1-122-1-1-12-10020-22-1-1-100-2-200112-1-1-1-1000-2-20020-10-1-1-11-2001100-200000110101000
χ31222-122-12222-12-1-22-1-12-1220022-1-122-1-11-2-2-1112-100-20-22-1-1-1002200-1-1-21-1110002200-2010-1111-200-1-100-200000-1-10101000
χ32222-122-12222-12-1-22-1-12-12200-2-2-1-122-1-11-2-2-1112-100-2022-1-1-100-2-20011-21-111000-2-200-2010-111-12001100200000110-10-1000
χ33222-122-122-2-2-12-122-1-12-12-2002211-2-2-1-1-122-1-1-12-100-202-2111002200-1-12-1-1-1-1000-2-200-2010111-1200-1-100-200000110-101000
χ34222-122-122-2-2-12-122-1-12-12-200-2-211-2-2-1-1-122-1-1-12-100-20-2-211100-2-200112-1-1-1-10002200-20101111-2001100200000-1-1010-1000
χ35222-122-122-2-2-12-1-22-1-12-12-2002211-2-2-1-11-2-2-1112-10020-2-2111002200-1-1-21-111000-2-20020-101-1-11-200-1-10020000011010-1000
χ36222-122-122-2-2-12-1-22-1-12-12-200-2-211-2-2-1-11-2-2-1112-100202-211100-2-20011-21-111000220020-101-1-1-12001100-200000-1-10-101000
χ3722-122222-1222-1-12-1-1222-12220022-1-1-1-122-1-1-1-1-1200220-12-1-12200-1-100-12-1-1-10220000-1-122-1-1-100-1-100000020-1-100-10000-10
χ3822-122222-1222-1-12-1-1222-12-2-20022-1-1-1-122-1-1-1-1-12002-20-12-1-1-2-2001100-12-1-1-10-2-20000-112-2-1-1-10011000000-2011001000010
χ3922-122222-1222-1-1-2-1-1222-12220022-1-1-1-1-2-21-111-1200-2-20-12-1-12200-1-1001-2-111022000011-2-2-11100-1-1000000-20-1-1001000010
χ4022-122222-1222-1-1-2-1-1222-12-2-20022-1-1-1-1-2-21-111-1200-220-12-1-1-2-20011001-2-1110-2-200001-1-22-1110011000000201100-10000-10
χ4122-122222-1-2-22-1-12-1-1222-1-22200-2-211-1-122-1-1-1-1-1200-2201-2112200-1-100-12-1-1-10-2-200001-1-2211100-1-1000000-201100-1000010
χ4222-122222-1-2-22-1-12-1-1222-1-2-2-200-2-211-1-122-1-1-1-1-1200-2-201-211-2-2001100-12-1-1-1022000011-2-2111001100000020-1-10010000-10
χ4322-122222-1-2-22-1-1-2-1-1222-1-22200-2-211-1-1-2-21-111-12002-201-2112200-1-1001-2-1110-2-20000-112-21-1-100-1-100000020110010000-10
χ4422-122222-1-2-22-1-1-2-1-1222-1-2-2-200-2-211-1-1-2-21-111-12002201-211-2-20011001-2-1110220000-1-1221-1-10011000000-20-1-100-1000010
χ452-22220-2-2-22i−2i2220-2-2-20000i2−i22−22i−2i2i−2i2-2000000002i−2i000002i−2ii2−i22−2i2−i22−20000002−2i2−i22i−2i000000000i2−i22−22-200002−2i2−i20000000
χ462-22220-2-2-22i−2i2220-2-2-20000i2−i2−222i−2i2i−2i2-200000000−2i2i000002i−2ii2−i2−22i2−i2−220000002−2−i2i2−2i2i000000000i2−i2−22-2200002−2−i2i20000000
χ472-22220-2-2-22i−2i2220-2-2-20000−i2i22−22i−2i2i−2i2-200000000−2i2i000002i−2i−i2i22−2−i2i22−2000000−22i2−i2−2i2i000000000−i2i22−2-220000−22i2−i20000000
χ482-22220-2-2-22i−2i2220-2-2-20000−i2i2−222i−2i2i−2i2-2000000002i−2i000002i−2i−i2i2−22−i2i2−22000000−22−i2i22i−2i000000000−i2i2−222-20000−22−i2i20000000
χ492-22220-2-2-2−2i2i2220-2-2-20000i2−i22−2−2i2i−2i2i2-2000000002i−2i00000−2i2ii2−i22−2i2−i22−2000000−22−i2i22i−2i000000000i2−i22−2-220000−22−i2i20000000
χ502-22220-2-2-2−2i2i2220-2-2-20000i2−i2−22−2i2i−2i2i2-200000000−2i2i00000−2i2ii2−i2−22i2−i2−22000000−22i2−i2−2i2i000000000i2−i2−222-20000−22i2−i20000000
χ512-22220-2-2-2−2i2i2220-2-2-20000−i2i22−2−2i2i−2i2i2-200000000−2i2i00000−2i2i−i2i22−2−i2i22−20000002−2−i2i2−2i2i000000000−i2i22−22-200002−2−i2i20000000
χ522-22220-2-2-2−2i2i2220-2-2-20000−i2i2−22−2i2i−2i2i2-2000000002i−2i00000−2i2i−i2i2−22−i2i2−220000002−2i2−i22i−2i000000000−i2i2−22-2200002−2i2−i20000000
χ534444-2-44-2400-2-240-24-22-4-4000000000-2-2000-400224400000000000000000200-40000-2-2000000000000000000200000000000
χ544444-2-44-2400-2-240-24-22-4-4000000000-2-2000-40022-4-4000000000000000002004000022000000000000000000-200000000000
χ55444-24-4-24444-24-204-2-2-42-4-40000-2-244-2-2000200-4200000-42-2-200000000002000000000000020000000000000000000000000
χ56444-24-4-244-4-4-24-204-2-2-42-44000022-4-4-2-2000200-42000004-222000000000020000000000000-20000000000000000000000000
χ57444-2-24-2-24001-2-24-2-21-2-2400044000011-2-24-2-2-2-2100004000000-2-200-2-2-2111100000000000000-2-2001100000000000100000
χ58444-2-24-2-24001-2-24-2-21-2-24000-4-4000011-2-24-2-2-2-210000-4000000220022-21111000000000000002200-1-100000000000-100000
χ59444-2-24-2-24001-2-2-4-2-21-2-240004400001122-4-222-210000-4000000-2-200-2-22-11-1-10000000000000022001100000000000-100000
χ60444-2-24-2-24001-2-2-4-2-21-2-24000-4-400001122-4-222-21000040000002200222-11-1-100000000000000-2-200-1-100000000000100000
χ6144-244-444-2444-2-20-2-24-4-42-4000044-2-2-2-20002002-4000002-4-2-200000000002000000000000020000000000000000000000000
χ6244-244-444-2-4-44-2-20-2-24-4-4240000-4-422-2-20002002-400000-2422000000000020000000000000-20000000000000000000000000
χ6344-24-244-2-200-21-241-2-2-24-2044000000114-2-2-2-2-21-2000400000-2-200-2-2001-211100000000-20-200000110000000000001000000
χ6444-24-244-2-200-21-241-2-2-24-20-4-4000000114-2-2-2-2-21-2000-400000220022001-21110000000020200000-1-1000000000000-1000000
χ6544-24-244-2-200-21-2-41-2-2-24-204400000011-422-2221-2000-400000-2-200-2-200-121-1-1000000002020000011000000000000-1000000
χ6644-24-244-2-200-21-2-41-2-2-24-20-4-400000011-422-2221-200040000022002200-121-1-100000000-20-200000-1-10000000000001000000
χ6744-2-244-24-244-2-214-21-24-2-240000-2-2-2-211-24-2111-2-200400-2-21100000000-2-21110000000-20-2011100000000000000000000000
χ6844-2-244-24-244-2-21-4-21-24-2-240000-2-2-2-2112-421-1-1-2-200-400-2-21100000000221-1-1000000020201-1-100000000000000000000000
χ6944-2-244-24-2-4-4-2-214-21-24-2-2-40000222211-24-2111-2-200-40022-1-100000000-2-211100000002020-1-1-100000000000000000000000
χ7044-2-244-24-2-4-4-2-21-4-21-24-2-2-400002222112-421-1-1-2-20040022-1-100000000221-1-10000000-20-20-11100000000000000000000000
χ7144-2-24-4-24-244-2-210-21-2-422-40000-2-2-2-211000-13-3220000022110000000000-13-300000000000-13-300000000000000000000000
χ7244-2-24-4-24-244-2-210-21-2-422-40000-2-2-2-211000-1-33220000022110000000000-1-3300000000000-1-3300000000000000000000000
χ7344-2-24-4-24-2-4-4-2-210-21-2-42240000222211000-13-32200000-2-2-1-10000000000-13-3000000000001-3300000000000000000000000
χ7444-2-24-4-24-2-4-4-2-210-21-2-42240000222211000-1-332200000-2-2-1-10000000000-1-330000000000013-300000000000000000000000
χ754-444-20-42-400-2-2402-4200002i2−2i222−220000-22000000004i−4i0000000−i2i2−222i2−2i222−220000000000−2i2i000000000−i2i2−2200000000000000000
χ764-444-20-42-400-2-2402-4200002i2−2i2−22220000-2200000000−4i4i0000000−i2i22−22i2−2i2−222200000000002i−2i000000000−i2i22−200000000000000000
χ774-444-20-42-400-2-2402-420000−2i22i222−220000-2200000000−4i4i0000000i2−i2−22−2i22i222−2200000000002i−2i000000000i2−i2−2200000000000000000
χ784-444-20-42-400-2-2402-420000−2i22i2−22220000-22000000004i−4i0000000i2−i22−2−2i22i2−22220000000000−2i2i000000000i2−i22−200000000000000000
χ794-44-2402-4-44i−4i-24-20-42200000022−22−2i2i4i−4i-22000000000000000−2i2i0022−2200−22000000002i2−2i20000000000000−2200000000−i2i20000000
χ804-44-2402-4-44i−4i-24-20-422000000−2222−2i2i4i−4i-22000000000000000−2i2i00−2222002−200000000−2i22i200000000000002−200000000i2−i20000000
χ814-44-2402-4-4−4i4i-24-20-42200000022−222i−2i−4i4i-220000000000000002i−2i0022−2200−2200000000−2i22i20000000000000−2200000000i2−i20000000
χ824-44-2402-4-4−4i4i-24-20-422000000−22222i−2i−4i4i-220000000000000002i−2i00−2222002−2000000002i2−2i200000000000002−200000000−i2i20000000
χ834-4-2440-4-424i−4i4-2-2022-400002i2−2i2004i−4i−2i2i-22000000000000000−2i2i2i2−2i200−i2i20000000022−220000000000000−i2i200000000−22000000000
χ844-4-2440-4-424i−4i4-2-2022-40000−2i22i2004i−4i−2i2i-22000000000000000−2i2i−2i22i200i2−i200000000−22220000000000000i2−i2000000002−2000000000
χ854-4-2440-4-42−4i4i4-2-2022-400002i2−2i200−4i4i2i−2i-220000000000000002i−2i2i2−2i200−i2i200000000−22220000000000000−i2i2000000002−2000000000
χ864-4-2440-4-42−4i4i4-2-2022-40000−2i22i200−4i4i2i−2i-220000000000000002i−2i−2i22i200i2−i20000000022−220000000000000i2−i200000000−22000000000
χ87888-4-4-8-4-48002-4-40-4-4244-8000000000220004004-20000000000000000000-2000000000000000000000000000000000000000
χ8888-48-4-88-4-400-42-402-4-44-8400000000022000400-240000000000000000000-2000000000000000000000000000000000000000
χ8988-4-4-48-4-4-4002228222-4-4-4000000000-1-1-4-4-4222220000000000000000022-1-1-10000000000000000000000000000000000000
χ9088-4-4-48-4-4-400222-8222-4-4-4000000000-1-14442-2-22200000000000000000-2-2-1110000000000000000000000000000000000000
χ9188-4-4-4-8-4-4-4002220222444000000000-1-1000-26-6-2-200000000000000000001-330000000000000000000000000000000000000
χ9288-4-4-4-8-4-4-4002220222444000000000-1-1000-2-66-2-2000000000000000000013-30000000000000000000000000000000000000
χ938-88-4-4044-8002-4-4044-200000042−4200002-20000000000000000000−222200−2222000000000000000000000002−200000000000000000
χ948-88-4-4044-8002-4-4044-2000000−424200002-2000000000000000000022−220022−2200000000000000000000000−2200000000000000000
χ958-8-48-40-84400-42-40-24400004i2−4i20000002-200000000000000000−2i22i200−2i22i200000000000000000000000i2−i20000000000000000000
χ968-8-48-40-84400-42-40-2440000−4i24i20000002-2000000000000000002i2−2i2002i2−2i200000000000000000000000−i2i20000000000000000000
χ978-8-4-4804-848i−8i-4-4204-2400000000−4i4i−4i4i2-20000000000000002i−2i00000000000000000000000000000000000000000000000000
χ988-8-4-4804-84−8i8i-4-4204-24000000004i−4i4i−4i2-2000000000000000−2i2i00000000000000000000000000000000000000000000000000
χ9916-16-8-8-80888004440-4-4-4000000000000-220000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).