Finite Group Databasebeta

← Group #13171673

Character table — Group #13171673

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1122222223344444444446666666668888888888991212121212121212121212121212121616161616181818181818182424242424242424242424242427273636363636363636484854727272108
order1233346664433346661212122888812121212361212121212121212222446612122424242424242424121212121246688886666612121212242424244422412242424241212266122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111-1-111111111111111-1-111-1111111-1-111-1-111111-1-1-111-1-1111111-11-111-1-1-1-11-1-1-111-1-11-1-11-1-1-1
χ31111111111111111111111-1-11111111111111111-1-11-111111-1-111-1-11111111-1-1-1-1-11111111-11-11-1-111-1-1-11-1-1-1-111-11-1-11-1-1
χ41111111111111111111111-1-1-1-111111111111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11-1-111
χ511111111111111-111111111111111111-1-1-11-1-11111-1-1-1111111111111-1-11-1-11111111-1-11-1-1-1-1-1-1111111-1-1-111111-1-11-1-1-1-1
χ611111111111111-1111111111-1-1111111-1-1-11-1-111-1-1-1-11111111-1-111-1-1-1-11-1-1-1-1-111-1-1-1-11-1-1-11-1111-1-1-1-1-111-111-1-1-11-1-1111
χ711111111111111-11111111-1-111111111-1-1-11-1-111-1-1-11-11111-1-111-1-111-1-11-1-1-1-1-1-1-111-1-11-1-11-11-1-1-111-1-11-11-1-1-1111-1-11-111
χ811111111111111-11111111-1-1-1-1111111-1-1-11-1-11111-1111111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-1-11-1-11111-1-1-1-11111-11-1-1-1-111111-1-1
χ9111111111-1-11111111111-11111-1-1-1-1111111111111-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-11-1
χ10111111111-1-11111111111-111-1-1-1-1-1-11111111111-1-1-11-1-1-1-1-111-1-111-1-111111-1-1-1-1-111-1-1-1-1-11-11-111-1-111-11-1-1-1-1111-11-11-11
χ11111111111-1-11111111111-1-1-111-1-1-1-11111111111-1-1-1-11-1-1-1-1-1-111-1-11111111-1-1-111-1-1-1-1-1-1-1-11-11-1-111111-1-1-111-1-1-1111-1-11
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
χ13111111111-1-1111-1111111-11111-1-1-1-111-1-1-11-1-111111-1-1-1-1-1-111111111-1-11-1-1111-1-1-1-111-111-1-1-1-11111-1-111-11-1-1-1-1-1-1-111-11
χ14111111111-1-1111-1111111-111-1-1-1-1-1-111-1-1-11-1-111-1-11-11-1-1-1-111-1-111-1-1-1-11-1-1-1-1-1-1-11111-111-11-1111-1-1111-11-1-1-111-1111-11-1
χ15111111111-1-1111-1111111-1-1-111-1-1-1-111-1-1-11-1-111-1-111-1-1-1-1-1-1-111-1-111-1-11-1-1-1-1-111-1-111-1111-11-1-1-11111-111-111-1-11-11-111-1
χ16111111111-1-1111-1111111-1-1-1-1-1-1-1-1-111-1-1-11-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111111-1111111-1-1-1-1-1-1-1-1-11111111-1-1-1-11
χ1722222-2222222220222-2-2-2-20000222222000-200-2-222000-2-2220000000000-200-222000000-2000000000022000-2000000-20000
χ1822222-2222222220222-2-2-2-20000222222000-200-2-2-2-2000-2-2220000000000-2002-2-2000000-20000000000-2-2000200000020000
χ1922222-2222-2-22220222-2-2-220000-2-2-2-222000-200-2-22200022-2-20000000000-200-22200000020000000000-2-2000-200000020000
χ2022222-2222-2-22220222-2-2-220000-2-2-2-222000-200-2-2-2-200022-2-20000000000-2002-2-200000020000000000220002000000-20000
χ212222-122-12222-1-12-12-122-12002222-1-1-1-12-12-1-1-12-1002022-1-1-1002200-1-12-1-1-1-100000222-1-1-1-10-10200-1-100020000-1-10-100-100
χ222222-122-12222-1-12-12-122-1200-2-222-1-1-1-12-12-1-1-12-10020-22-1-1-100-2-200112-1-1-1-100000-2-22-1-1-1-1010-20011000-20000110100100
χ232222-122-12222-1-1-2-12-122-12002222-1-1-1-1-21-2-1112-100-20-22-1-1-1002200-1-1-21-1110000022-21-111010-200-1-1000-20000-1-10100100
χ242222-122-12222-1-1-2-12-122-1200-2-222-1-1-1-1-21-2-1112-100-2022-1-1-100-2-20011-21-11100000-2-2-21-1110-102001100020000110-100-100
χ252222-122-12-2-22-1-12-12-122-1-20022-2-211-1-12-12-1-1-12-100-202-2111002200-1-12-1-1-1-100000-2-2-211110-10200-1-1000-20000110-100100
χ262222-122-12-2-22-1-12-12-122-1-200-2-2-2-211-1-12-12-1-1-12-100-20-2-211100-2-200112-1-1-1-10000022-21111010-2001100020000-1-10100-100
χ272222-122-12-2-22-1-1-2-12-122-1-20022-2-211-1-1-21-2-1112-10020-2-2111002200-1-1-21-11100000-2-22-11-1-1010-200-1-100020000110100-100
χ282222-122-12-2-22-1-1-2-12-122-1-200-2-2-2-211-1-1-21-2-1112-100202-211100-2-20011-21-11100000222-11-1-10-1020011000-20000-1-10-100100
χ29222-122-12222-12-12-1-122-1222200-1-122-1-1-122-1-1-1-1200220-12-1-12200-1-100-12-1-1-10002200-12-1-1-1-1020-1-100002000-1-100-100-1000
χ30222-122-12222-12-12-1-122-122-2-200-1-122-1-1-122-1-1-1-12002-20-12-1-1-2-2001100-12-1-1-1000-2-200-12-1-1-110-20110000-200011001001000
χ31222-122-12222-12-1-2-1-122-1222200-1-122-1-11-2-2-111-1200-2-20-12-1-12200-1-1001-2-11100022001-2-11110-20-1-10000-2000-1-1001001000
χ32222-122-12222-12-1-2-1-122-122-2-200-1-122-1-11-2-2-111-1200-220-12-1-1-2-20011001-2-111000-2-2001-2-111-102011000020001100-100-1000
χ33222-122-122-2-2-12-12-1-122-12-2220011-2-2-1-1-122-1-1-1-1200-2201-2112200-1-100-12-1-1-1000-2-2001-2111-1020-1-10000-20001100-1001000
χ34222-122-122-2-2-12-12-1-122-12-2-2-20011-2-2-1-1-122-1-1-1-1200-2-201-211-2-2001100-12-1-1-100022001-211110-201100002000-1-100100-1000
χ35222-122-122-2-2-12-1-2-1-122-12-2220011-2-2-1-11-2-2-111-12002-201-2112200-1-1001-2-111000-2-200-121-1-110-20-1-1000020001100100-1000
χ36222-122-122-2-2-12-1-2-1-122-12-2-2-20011-2-2-1-11-2-2-111-12002201-211-2-20011001-2-1110002200-121-1-1-1020110000-2000-1-100-1001000
χ3722-122222-100-1-1222-1-1-122022220000-1-122-1222-1-1220220000-1-1-1-12222-1-1-1-1-12-1-100000000022-1-1-1-1-1-100002-10000-1-1000-10
χ3822-122222-100-1-1222-1-1-122022-2-20000-1-122-1222-1-1-2-202-20000-1-11122-2-2-1-1-1-1-1-2110000000002-2-11-1-1110000-210000-1100010
χ3922-122222-100-1-1222-1-1-1220-2-2220000-1-122-1222-1-1-2-20-22000011-1-1-2-222-1-1-1-1-1-211000000000-221-111-1-10000-2100001-100010
χ4022-122222-100-1-1222-1-1-1220-2-2-2-20000-1-122-1222-1-1220-2-200001111-2-2-2-2-1-1-1-1-12-1-1000000000-2-211111100002-1000011000-10
χ4122-122222-100-1-12-22-1-1-122022220000-1-1-2-212-2-2-1-1220-2-20000-1-1-1-1222211-1112-1-1000000000-2-211-1-1-1-10000-2-100001100010
χ4222-122222-100-1-12-22-1-1-122022-2-20000-1-1-2-212-2-2-1-1-2-20-220000-1-11122-2-211-111-211000000000-221-1-1-11100002100001-1000-10
χ4322-122222-100-1-12-22-1-1-1220-2-2220000-1-1-2-212-2-2-1-1-2-202-2000011-1-1-2-22211-111-2110000000002-2-1111-1-10000210000-11000-10
χ4422-122222-100-1-12-22-1-1-1220-2-2-2-20000-1-1-2-212-2-2-1-12202200001111-2-2-2-211-1112-1-100000000022-1-111110000-2-10000-1-100010
χ452-22220-2-2-22i−2i2220-2-2-200002−22−22i−2i2i−2i2-2000000002-2000002i−2i2−22−22−22−20000002-2i2−i2i2−i20000000002−22−22i−2i0000i2−i2i2−i20000000
χ462-22220-2-2-22i−2i2220-2-2-200002−2−222i−2i2i−2i2-200000000-22000002i−2i2−2−222−2−22000000-22i2−i2−i2i20000000002−2−22−2i2i0000i2−i2−i2i20000000
χ472-22220-2-2-22i−2i2220-2-2-20000−222−22i−2i2i−2i2-200000000-22000002i−2i−222−2−222−2000000-22−i2i2i2−i2000000000−222−2−2i2i0000−i2i2i2−i20000000
χ482-22220-2-2-22i−2i2220-2-2-20000−22−222i−2i2i−2i2-2000000002-2000002i−2i−22−22−22−220000002-2−i2i2−i2i2000000000−22−222i−2i0000−i2i2−i2i20000000
χ492-22220-2-2-2−2i2i2220-2-2-200002−22−2−2i2i−2i2i2-2000000002-200000−2i2i2−22−22−22−20000002-2−i2i2−i2i20000000002−22−2−2i2i0000−i2i2−i2i20000000
χ502-22220-2-2-2−2i2i2220-2-2-200002−2−22−2i2i−2i2i2-200000000-2200000−2i2i2−2−222−2−22000000-22−i2i2i2−i20000000002−2−222i−2i0000−i2i2i2−i20000000
χ512-22220-2-2-2−2i2i2220-2-2-20000−222−2−2i2i−2i2i2-200000000-2200000−2i2i−222−2−222−2000000-22i2−i2−i2i2000000000−222−22i−2i0000i2−i2−i2i20000000
χ522-22220-2-2-2−2i2i2220-2-2-20000−22−22−2i2i−2i2i2-2000000002-200000−2i2i−22−22−22−220000002-2i2−i2i2−i2000000000−22−22−2i2i0000i2−i2i2−i20000000
χ534444-2-44-24444-2-20-24-2-4-42-4000044-2-2-2-2000200-4200000-42-2-200000000002000000000002000000000000000000000000000
χ544444-2-44-24-4-44-2-20-24-2-4-4240000-4-422-2-2000200-42000004-2220000000000200000000000-2000000000000000000000000000
χ55444-24-4-24444-24-20-2-24-42-4-40000-2-244-2-20002002-4000002-4-2-200000000002000000000002000000000000000000000000000
χ56444-24-4-244-4-4-24-20-2-24-42-44000022-4-4-2-20002002-400000-24220000000000200000000000-2000000000000000000000000000
χ57444-2-24-2-2444-2-2141-2-24-2-240000-2-2-2-211-2-24111-2-200400-2-21100000000-2-21110000000-2-21110000000000000000000000000
χ58444-2-24-2-2444-2-21-41-2-24-2-240000-2-2-2-21122-41-1-1-2-200-400-2-21100000000221-1-10000000221-1-10000000000000000000000000
χ59444-2-24-2-24-4-4-2-2141-2-24-2-2-40000222211-2-24111-2-200-40022-1-100000000-2-2111000000022-1-1-10000000000000000000000000
χ60444-2-24-2-24-4-4-2-21-41-2-24-2-2-4000022221122-41-1-1-2-20040022-1-100000000221-1-10000000-2-2-1110000000000000000000000000
χ61444-2-2-4-2-2444-2-2101-2-2-422-40000-2-2-2-211000-13-3220000022110000000000-13-3000000000-13-30000000000000000000000000
χ62444-2-2-4-2-2444-2-2101-2-2-422-40000-2-2-2-211000-1-33220000022110000000000-1-33000000000-1-330000000000000000000000000
χ63444-2-2-4-2-24-4-4-2-2101-2-2-42240000222211000-13-32200000-2-2-1-10000000000-13-30000000001-330000000000000000000000000
χ64444-2-2-4-2-24-4-4-2-2101-2-2-42240000222211000-1-332200000-2-2-1-10000000000-1-3300000000013-30000000000000000000000000
χ6544-244-444-200-2-2404-2-22-4-4000000000-2-2000-400224400000000000000000200-4-2-20000000000000000000000200000000000
χ6644-244-444-200-2-2404-2-22-4-4000000000-2-2000-40022-4-4000000000000000002004220000000000000000000000-200000000000
χ6744-24-244-2-200-21-24-2-21-24-2000440000114-2-2-2-2-2-2100004000000-2-200-2-2-211110000000000000-20-2001100000000000100000
χ6844-24-244-2-200-21-24-2-21-24-2000-4-40000114-2-2-2-2-2-210000-4000000220022-21111000000000000020200-1-100000000000-100000
χ6944-24-244-2-200-21-2-4-2-21-24-200044000011-422-222-210000-4000000-2-200-2-22-11-1-10000000000000202001100000000000-100000
χ7044-24-244-2-200-21-2-4-2-21-24-2000-4-4000011-422-222-21000040000002200222-11-1-10000000000000-20-200-1-100000000000100000
χ7144-2-244-24-2001-2-24-21-2-2-2404400000011-24-2-2-2-21-2000400000-2-200-2-2001-2111000000000000-20-20110000000000001000000
χ7244-2-244-24-2001-2-24-21-2-2-240-4-400000011-24-2-2-2-21-2000-400000220022001-21110000000000002020-1-1000000000000-1000000
χ7344-2-244-24-2001-2-2-4-21-2-2-24044000000112-42-2221-2000-400000-2-200-2-200-121-1-1000000000000202011000000000000-1000000
χ7444-2-244-24-2001-2-2-4-21-2-2-240-4-4000000112-42-2221-200040000022002200-121-1-1000000000000-20-20-1-10000000000001000000
χ754-444-20-42-44i−4i4-2-202-4200000022−224i−4i−2i2i-22000000000000000−2i2i0022−2200−2200000000002i2−2i200000000000−2200000000−i2i20000000
χ764-444-20-42-44i−4i4-2-202-42000000−22224i−4i−2i2i-22000000000000000−2i2i00−2222002−20000000000−2i22i2000000000002−200000000i2−i20000000
χ774-444-20-42-4−4i4i4-2-202-4200000022−22−4i4i2i−2i-220000000000000002i−2i0022−2200−220000000000−2i22i200000000000−2200000000i2−i20000000
χ784-444-20-42-4−4i4i4-2-202-42000000−2222−4i4i2i−2i-220000000000000002i−2i00−2222002−200000000002i2−2i2000000000002−200000000−i2i20000000
χ794-44-2402-4-44i−4i-24-2022-4000022−2200−2i2i4i−4i-22000000000000000−2i2i22−2200−2200000000002i2−2i200000000000−2200000000−i2i2000000000
χ804-44-2402-4-44i−4i-24-2022-40000−222200−2i2i4i−4i-22000000000000000−2i2i−2222002−20000000000−2i22i2000000000002−200000000i2−i2000000000
χ814-44-2402-4-4−4i4i-24-2022-4000022−22002i−2i−4i4i-220000000000000002i−2i22−2200−220000000000−2i22i200000000000−2200000000i2−i2000000000
χ824-44-2402-4-4−4i4i-24-2022-40000−2222002i−2i−4i4i-220000000000000002i−2i−2222002−200000000002i2−2i2000000000002−200000000−i2i2000000000
χ834-4-2440-4-4200-2-240-422000022−2222−220000-22000000004-40000000−22−2222−2222−22000000-220000000000000−22−2200000000000000000
χ844-4-2440-4-4200-2-240-422000022−22−22220000-2200000000-440000000−222−222−22−22220000002-20000000000000−222−200000000000000000
χ854-4-2440-4-4200-2-240-4220000−222222−220000-2200000000-4400000002−2−22−222222−220000002-200000000000002−2−2200000000000000000
χ864-4-2440-4-4200-2-240-4220000−2222−22220000-22000000004-400000002−22−2−2222−2222000000-2200000000000002−22−200000000000000000
χ8788-48-4-88-4-400-42-40-4-424-84000000000220004004-20000000000000000000-2000000000000000000000000000000000000000
χ8888-4-48-8-48-4002-4-40-42-444-800000000022000400-240000000000000000000-2000000000000000000000000000000000000000
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
χ938-88-4-4044-88i−8i-4-420-24400000000−4i4i−4i4i2-20000000000000002i−2i00000000000000000000000000000000000000000000000000
χ948-88-4-4044-8−8i8i-4-420-244000000004i−4i4i−4i2-2000000000000000−2i2i00000000000000000000000000000000000000000000000000
χ958-8-48-40-84400-42-4044-200000042−4200002-20000000000000000000−222200−2222000000000000000000000002−200000000000000000
χ968-8-48-40-84400-42-4044-2000000−424200002-2000000000000000000022−220022−2200000000000000000000000−2200000000000000000
χ978-8-4-4804-84002-4-404-24000042−420000002-200000000000000000−222200−2222000000000000000000000002−20000000000000000000
χ988-8-4-4804-84002-4-404-240000−42420000002-20000000000000000022−220022−2200000000000000000000000−220000000000000000000
χ9916-16-8-8-80888004440-4-4-4000000000000-220000000000000000000000000000000000000000000000000000000000000000000

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