Finite Group Databasebeta

← Group #13171573

Character table — Group #13171573

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1122222223344444444446666666668888888888991212121212121212121212121212121616161616181818181818182424242424242424242424242427273636363636363636484854727272108
order1233346664423336661212122888812121212366666612121222444661212242424242424242466661246688886121212121212121224242424442221224242424121226664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111111111111111-1-111-1111111-1-111-1-111111-1-1-111-1-11111-11-11111-1-1-1-11-1-1-111-1-11-1-11-1-1-1
χ31111111111111111111111-1-11111111111111111-1-11-111111-1-111-1-11111111-1-1-1-1-111111-11-1111-1-111-1-1-11-1-1-1-111-11-1-11-1-1
χ41111111111111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-11-1-111
χ511111111111-11111111111111111111-1-1-1-1-1111111-1-1-1111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111-1-1-111111-1-11-1-1-1-1
χ611111111111-1111111111111-1-111111-1-1-1-1-11111-1-1-1-11111111-1-111-1-1-1-1-1-11-1-1-111-1-11-1-1-11-11-1-111-1-1-1-1-111-111-1-1-11-1-1111
χ711111111111-11111111111-1-11111111-1-1-1-1-11111-1-1-11-11111-1-111-1-111-1-1-1-11-1-1-1-1-1111-1-11-11-1-1-1-1-111-1-11-11-1-1-1111-1-11-111
χ811111111111-11111111111-1-1-1-111111-1-1-1-1-1111111-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11111-1-1-1-1-1-11111-11-1-1-1-111111-1-1
χ9111111111-1-11111111111-11111-1-1-1-1111111111111-111-1-1-1-11111111111111111-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1-1-11-1
χ10111111111-1-11111111111-111-1-1-1-1-1-11111111111-1-1-11-1-1-1-1-111-1-111-1-111111-1-1-1-1-111-1-1-11-11-1-1-111-1-111-11-1-1-1-1111-11-11-11
χ11111111111-1-11111111111-1-1-111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-111-1-11111111-1-1-111-1-1-1-1-1-11-11-1-1-1-111111-1-1-111-1-1-1111-1-11
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
χ13111111111-1-1-1111111111-11111-1-1-1-11-1-1-1-1-11111111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-111-1-1-1-1111111-1-111-11-1-1-1-1-1-1-111-11
χ14111111111-1-1-1111111111-111-1-1-1-1-1-11-1-1-1-1-11111-1-11-11-1-1-1-111-1-111-1-1-1-1-1-11-1-1-1-1-111-111-11-111111-1-1111-11-1-1-111-1111-11-1
χ15111111111-1-1-1111111111-1-1-111-1-1-1-11-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-111-1-1-1-11-1-1-111-1-1-1111-11-111-1-11111-111-111-1-11-11-111-1
χ16111111111-1-1-1111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111111-1-1-1-1-1-1-1-1-11111111-1-1-1-11
χ1722222-2222220222222-2-2-2-2000022222000002-2-2-222000-2-222000000000000-2-2220000-200000000000022000-2000000-20000
χ1822222-2222220222222-2-2-2-2000022222000002-2-2-2-2-2000-2-222000000000000-22-2-20000-2000000000000-2-2000200000020000
χ1922222-2222-2-20222222-2-2-220000-2-2-2-22000002-2-2-22200022-2-2000000000000-2-22200002000000000000-2-2000-200000020000
χ2022222-2222-2-20222222-2-2-220000-2-2-2-22000002-2-2-2-2-200022-2-2000000000000-22-2-200002000000000000220002000000-20000
χ212222-1222-1002-1-12-1-12-122022220000-122-122-12-1-1220220000-1-1-1-12222-1-1-1-1-12-1-1000000022-1-100-1-1-1-100002-10000-1-1000-10
χ222222-1222-1002-1-12-1-12-122022-2-20000-122-122-12-1-1-2-202-20000-1-11122-2-2-1-1-1-1-1-21100000002-2-1100-1-1110000-210000-1100010
χ232222-1222-1002-1-12-1-12-1220-2-2220000-122-122-12-1-1-2-20-22000011-1-1-2-222-1-1-1-1-1-2110000000-221-10011-1-10000-2100001-100010
χ242222-1222-1002-1-12-1-12-1220-2-2-2-20000-122-122-12-1-1220-2-200001111-2-2-2-2-1-1-1-1-12-1-10000000-2-21100111100002-1000011000-10
χ252222-1222-100-2-1-12-1-12-122022220000-1-2-21-2-2-12-1-1220-2-20000-1-1-1-122221111-12-1-10000000-2-21100-1-1-1-10000-2-100001100010
χ262222-1222-100-2-1-12-1-12-122022-2-20000-1-2-21-2-2-12-1-1-2-20-220000-1-11122-2-21111-1-2110000000-221-100-1-11100002100001-1000-10
χ272222-1222-100-2-1-12-1-12-1220-2-2220000-1-2-21-2-2-12-1-1-2-202-2000011-1-1-2-2221111-1-21100000002-2-110011-1-10000210000-11000-10
χ282222-1222-100-2-1-12-1-12-1220-2-2-2-20000-1-2-21-2-2-12-1-12202200001111-2-2-2-21111-12-1-1000000022-1-10011110000-2-10000-1-100010
χ29222-1222-122222-1-12-1-122-12002222-1-1-12-12-1-1-1-12-1002022-1-1-1002200-1-12-1-1-1-10000022-12-10-102-1-100-1-100020000-1-10-100-100
χ30222-1222-122222-1-12-1-122-1200-2-222-1-1-12-12-1-1-1-12-10020-22-1-1-100-2-200112-1-1-1-100000-2-2-12-1010-2-1-10011000-20000110100100
χ31222-1222-1222-22-1-12-1-122-12002222-1-1-1-21-211-1-12-100-20-22-1-1-1002200-1-1-2111-10000022-1-21010-21100-1-1000-20000-1-10100100
χ32222-1222-1222-22-1-12-1-122-1200-2-222-1-1-1-21-211-1-12-100-2022-1-1-100-2-20011-2111-100000-2-2-1-210-10211001100020000110-100-100
χ33222-1222-12-2-222-1-12-1-122-1-20022-2-211-12-12-1-1-1-12-100-202-2111002200-1-12-1-1-1-100000-2-21-210-1021100-1-1000-20000110-100100
χ34222-1222-12-2-222-1-12-1-122-1-200-2-2-2-211-12-12-1-1-1-12-100-20-2-211100-2-200112-1-1-1-100000221-21010-211001100020000-1-10100-100
χ35222-1222-12-2-2-22-1-12-1-122-1-20022-2-211-1-21-211-1-12-10020-2-2111002200-1-1-2111-100000-2-212-1010-2-1-100-1-100020000110100-100
χ36222-1222-12-2-2-22-1-12-1-122-1-200-2-2-2-211-1-21-211-1-12-100202-211100-2-20011-2111-1000002212-10-102-1-10011000-20000-1-10-100100
χ3722-1222-122222-12-1-12-12-1222200-1-122-1-122-1-1-1-1-1200220-12-1-12200-1-100-12-1-1-10002200-1-12-1020-1-1-1-100002000-1-100-100-1000
χ3822-1222-122222-12-1-12-12-122-2-200-1-122-1-122-1-1-1-1-12002-20-12-1-1-2-2001100-12-1-1-1000-2-200-1-1210-20-1-1110000-200011001001000
χ3922-1222-12222-2-12-1-12-12-1222200-1-122-11-2-211-1-1-1200-2-20-12-1-12200-1-1001-211-10002200-11-210-2011-1-10000-2000-1-1001001000
χ4022-1222-12222-2-12-1-12-12-122-2-200-1-122-11-2-211-1-1-1200-220-12-1-1-2-20011001-211-1000-2-200-11-2-10201111000020001100-100-1000
χ4122-1222-122-2-22-12-1-12-12-12-2220011-2-2-1-122-1-1-1-1-1200-2201-2112200-1-100-12-1-1-1000-2-20011-2-102011-1-10000-20001100-1001000
χ4222-1222-122-2-22-12-1-12-12-12-2-2-20011-2-2-1-122-1-1-1-1-1200-2-201-211-2-2001100-12-1-1-1000220011-210-20111100002000-1-100100-1000
χ4322-1222-122-2-2-2-12-1-12-12-12-2220011-2-2-11-2-211-1-1-12002-201-2112200-1-1001-211-1000-2-2001-1210-20-1-1-1-1000020001100100-1000
χ4422-1222-122-2-2-2-12-1-12-12-12-2-2-20011-2-2-11-2-211-1-1-12002201-211-2-20011001-211-100022001-12-1020-1-1110000-2000-1-100-1001000
χ452-22220-2-2-22i−2i0222-2-2-20000i2−i2i2−i22i−2i2i−2i200000-20002-2000002i−2ii2−i2i2−i2i2−i2i2−i20000002-22−22−2000000000i2−i2i2−i22i−2i00002−22−20000000
χ462-22220-2-2-22i−2i0222-2-2-20000i2−i2−i2i22i−2i2i−2i200000-2000-22000002i−2ii2−i2−i2i2i2−i2−i2i2000000-222−2−22000000000i2−i2−i2i2−2i2i00002−2−220000000
χ472-22220-2-2-22i−2i0222-2-2-20000−i2i2i2−i22i−2i2i−2i200000-2000-22000002i−2i−i2i2i2−i2−i2i2i2−i2000000-22−222−2000000000−i2i2i2−i2−2i2i0000−222−20000000
χ482-22220-2-2-22i−2i0222-2-2-20000−i2i2−i2i22i−2i2i−2i200000-20002-2000002i−2i−i2i2−i2i2−i2i2−i2i20000002-2−22−22000000000−i2i2−i2i22i−2i0000−22−220000000
χ492-22220-2-2-2−2i2i0222-2-2-20000i2−i2i2−i2−2i2i−2i2i200000-20002-200000−2i2ii2−i2i2−i2i2−i2i2−i20000002-2−22−22000000000i2−i2i2−i2−2i2i0000−22−220000000
χ502-22220-2-2-2−2i2i0222-2-2-20000i2−i2−i2i2−2i2i−2i2i200000-2000-2200000−2i2ii2−i2−i2i2i2−i2−i2i2000000-22−222−2000000000i2−i2−i2i22i−2i0000−222−20000000
χ512-22220-2-2-2−2i2i0222-2-2-20000−i2i2i2−i2−2i2i−2i2i200000-2000-2200000−2i2i−i2i2i2−i2−i2i2i2−i2000000-222−2−22000000000−i2i2i2−i22i−2i00002−2−220000000
χ522-22220-2-2-2−2i2i0222-2-2-20000−i2i2−i2i2−2i2i−2i2i200000-20002-200000−2i2i−i2i2−i2i2−i2i2−i2i20000002-22−22−2000000000−i2i2−i2i2−2i2i00002−22−20000000
χ534444-2-444-2000-2-24-2-242-4-4000000000-200000-2-4224400000000000000000002-4-2-20000000000000000000000200000000000
χ544444-2-444-2000-2-24-2-242-4-4000000000-200000-2-422-4-4000000000000000000024220000000000000000000000-200000000000
χ55444-24-44-244404-2-24-2-2-4-42-4000044-2-2-200000-22-4200000-42-2-200000000000020000000200000000000000000000000000000
χ56444-24-44-24-4-404-2-24-2-2-4-4240000-4-422-200000-22-42000004-22200000000000020000000-200000000000000000000000000000
χ57444-2-244-2-2004-21-2-21-2-24-200044000014-2-2-2-21-2-2100004000000-2-200-2-2-2111100000000000-20-200001100000000000100000
χ58444-2-244-2-2004-21-2-21-2-24-2000-4-4000014-2-2-2-21-2-210000-4000000220022-21111000000000002020000-1-100000000000-100000
χ59444-2-244-2-200-4-21-2-21-2-24-20004400001-422221-2-210000-4000000-2-200-2-22-1-1-110000000000020200001100000000000-100000
χ60444-2-244-2-200-4-21-2-21-2-24-2000-4-400001-422221-2-21000040000002200222-1-1-1100000000000-20-20000-1-100000000000100000
χ6144-244-4-244440-24-2-24-2-42-4-40000-2-244-200000-222-4000002-4-2-200000000000020000000200000000000000000000000000000
χ6244-244-4-244-4-40-24-2-24-2-42-44000022-4-4-200000-222-400000-242200000000000020000000-200000000000000000000000000000
χ6344-24-24-24-20041-2-21-2-2-2-240440000001-24-2-2-21-21-2000400000-2-200-2-2001-21110000000000-20-2000110000000000001000000
χ6444-24-24-24-20041-2-21-2-2-2-240-4-40000001-24-2-2-21-21-2000-400000220022001-21110000000000202000-1-1000000000000-1000000
χ6544-24-24-24-200-41-2-21-2-2-2-2404400000012-42221-21-2000-400000-2-200-2-200-12-1-11000000000020200011000000000000-1000000
χ6644-24-24-24-200-41-2-21-2-2-2-240-4-400000012-42221-21-200040000022002200-12-1-110000000000-20-2000-1-10000000000001000000
χ6744-2-244-2-24444-2-21-2-214-2-240000-2-2-2-21-2-241111-2-200400-2-21100000000-2-211100000001-2-2000011000000000000000000000
χ6844-2-244-2-2444-4-2-21-2-214-2-240000-2-2-2-2122-4-1-111-2-200-400-2-2110000000022-1-1100000001220000-1-1000000000000000000000
χ6944-2-244-2-24-4-44-2-21-2-214-2-2-4000022221-2-241111-2-200-40022-1-100000000-2-21110000000-1220000-1-1000000000000000000000
χ7044-2-244-2-24-4-4-4-2-21-2-214-2-2-400002222122-4-1-111-2-20040022-1-10000000022-1-110000000-1-2-2000011000000000000000000000
χ7144-2-24-4-2-24440-2-21-2-21-422-40000-2-2-2-210003-31-12200000221100000000003-3-10000000-10000003-3000000000000000000000
χ7244-2-24-4-2-24440-2-21-2-21-422-40000-2-2-2-21000-331-1220000022110000000000-33-10000000-1000000-33000000000000000000000
χ7344-2-24-4-2-24-4-40-2-21-2-21-42240000222210003-31-12200000-2-2-1-100000000003-3-100000001000000-33000000000000000000000
χ7444-2-24-4-2-24-4-40-2-21-2-21-4224000022221000-331-12200000-2-2-1-10000000000-33-1000000010000003-3000000000000000000000
χ754-444-20-4-42000-2-2422-400002i2−2i22i2−2i20000-20000020004-40000000−i2i2−i2i22i2−2i22i2−2i2000000-220000000000000−i2i2−i2i200000000000000000
χ764-444-20-4-42000-2-2422-400002i2−2i2−2i22i20000-2000002000-440000000−i2i2i2−i22i2−2i2−2i22i20000002-20000000000000−i2i2i2−i200000000000000000
χ774-444-20-4-42000-2-2422-40000−2i22i22i2−2i20000-2000002000-440000000i2−i2−i2i2−2i22i22i2−2i20000002-20000000000000i2−i2−i2i200000000000000000
χ784-444-20-4-42000-2-2422-40000−2i22i2−2i22i20000-20000020004-40000000i2−i2i2−i2−2i22i2−2i22i2000000-220000000000000i2−i2i2−i200000000000000000
χ794-44-240-42-44i−4i04-2-2-4220000002i2−2i24i−4i−2i2i-20000020000000000−2i2i002i2−2i200−i2i2000000000022−2200000000000−i2i200000000−220000000
χ804-44-240-42-44i−4i04-2-2-422000000−2i22i24i−4i−2i2i-20000020000000000−2i2i00−2i22i200i2−i20000000000−222200000000000i2−i2000000002−20000000
χ814-44-240-42-4−4i4i04-2-2-4220000002i2−2i2−4i4i2i−2i-200000200000000002i−2i002i2−2i200−i2i20000000000−222200000000000−i2i2000000002−20000000
χ824-44-240-42-4−4i4i04-2-2-422000000−2i22i2−4i4i2i−2i-200000200000000002i−2i00−2i22i200i2−i2000000000022−2200000000000i2−i200000000−220000000
χ834-4-24402-4-44i−4i0-24-22-4200002i2−2i200−2i2i4i−4i-20000020000000000−2i2i2i2−2i200−i2i2000000000022−2200000000000−i2i200000000−22000000000
χ844-4-24402-4-44i−4i0-24-22-420000−2i22i200−2i2i4i−4i-20000020000000000−2i2i−2i22i200i2−i20000000000−222200000000000i2−i2000000002−2000000000
χ854-4-24402-4-4−4i4i0-24-22-4200002i2−2i2002i−2i−4i4i-200000200000000002i−2i2i2−2i200−i2i20000000000−222200000000000−i2i2000000002−2000000000
χ864-4-24402-4-4−4i4i0-24-22-420000−2i22i2002i−2i−4i4i-200000200000000002i−2i−2i22i200i2−i2000000000022−2200000000000i2−i200000000−22000000000
χ87888-4-4-88-4-4000-42-4-42-44-84000000000200000244-2000000000000000000000-20000000000000000000000000000000000000
χ8888-48-4-8-48-40002-4-42-4-444-800000000020000024-24000000000000000000000-20000000000000000000000000000000000000
χ8988-4-4-48-4-4-4008222222-4-4-4000000000-1-4-4-422-12220000000000000000022-1-1-10000000000000000000000000000000000000
χ9088-4-4-48-4-4-400-8222222-4-4-4000000000-1444-2-2-122200000000000000000-2-211-10000000000000000000000000000000000000
χ9188-4-4-4-8-4-4-4000222222444000000000-10006-6-1-2-2-20000000000000000000-3310000000000000000000000000000000000000
χ9288-4-4-4-8-4-4-4000222222444000000000-1000-66-1-2-2-200000000000000000003-310000000000000000000000000000000000000
χ938-88-4-40-844000-42-44-240000004i2−4i20000200000-200000000000000−2i22i200−2i22i200000000000000000000000i2−i200000000000000000
χ948-88-4-40-844000-42-44-24000000−4i24i20000200000-2000000000000002i2−2i2002i2−2i200000000000000000000000−i2i200000000000000000
χ958-8-48-404-840002-4-4-24400004i2−4i2000000200000-2000000000000−2i22i200−2i22i200000000000000000000000i2−i20000000000000000000
χ968-8-48-404-840002-4-4-2440000−4i24i2000000200000-20000000000002i2−2i2002i2−2i200000000000000000000000−i2i20000000000000000000
χ978-8-4-48044-88i−8i0-4-4244-200000000−4i4i−4i4i200000-200000000002i−2i00000000000000000000000000000000000000000000000000
χ988-8-4-48044-8−8i8i0-4-4244-2000000004i−4i4i−4i200000-20000000000−2i2i00000000000000000000000000000000000000000000000000
χ9916-16-8-8-80888000444-4-4-4000000000000-200000200000000000000000000000000000000000000000000000000000000000000

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