Finite Group Databasebeta

← Group #13171543

Character table — Group #13171543

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1122222224444444444666666888888889999991212121212121212121212121212121616161616161818181818181818182424242424242424242424243636363636364848485454727272108
order1233346662333666121212888888366661212122222224442424242424242424242424246666612444666666121212121212242424242424222121212121212886664
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-11111111111-1-1-1-111-111111111-1-1-1-11111111-1-111-1-1-1-11111-1-11111-1-11-1-11-1-111-1-1-11-1-1-1
χ3111111111111111111111-1-11111111111-1-111-1-11-111111-1-1-1-11111111111-11-1-1-111-1-111-1-11111-1-111-11-1-11-11-11-1-1-11-1-1
χ4111111111111111111111-1-1-1-111111111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1-111-1-111-1-111
χ51111111111111111111-1-1111111111111-1-1-1-111-111-1-1-1-111111111111111-1-11-1-1-1-111-1-11111-1-11111-1-11-1-11-111-1-1-1-11-1
χ61111111111111111111-1-111-1-111111111-1-111-1-1-11-1-1-1-1-11111-1-1-1-1111111-11-1-1-111-1-1-1-111-1-1-1-111-1-1-11-1-11-1-11-111-11-11
χ71111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-1111-1-11-1-1-1-11111-1-11
χ81111111111111111111-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1111-1
χ9111111111-11111111111111111-1-1-11111111111-1-1-1111111111111-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1111-1-1-111-1-1-1-1
χ10111111111-11111111111111-1-11-1-1-1111111-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1111-1-1-1-11-1-1-1111
χ11111111111-111111111111-1-1111-1-1-11111-1-111-1-1-11-11111-1-1-1-11111-1-1-1-1-11-11-1-1-111-1-1-1-111-1-111-1-1111-11-11-1-11-1-1-11-111
χ12111111111-111111111111-1-1-1-11-1-1-11111-1-1-1-111-1111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-111-1-1111111-1-1-1-111-1-1-11-1111111-1-1
χ13111111111-1111111111-1-111111-1-1-11111-1-1-1-1111-1-1-1-1-1-111111111-1-1-1-1-11-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-1-111-1-1-1-111-11
χ14111111111-1111111111-1-111-1-11-1-1-11111-1-111-1-11-11-1-1-1-11111-1-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-111-1-111-1-11-11-11-11-11111-11-1
χ15111111111-1111111111-1-1-1-1111-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-111-1111-1-111-111-111-1
χ16111111111-1111111111-1-1-1-1-1-11-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-11
χ1722222-22220222222-2-2-200000020002-2-2-222222200000000000000000000-2-2-2-2222222000000000000000-2-2-2000000000
χ1822222-22220222222-2-2-200000020002-2-2-222-2-2-2-200000000000000000000-2-22222-2-2-2-2000000000000000-222000000000
χ1922222-22220222222-2-2-200000020002-2-2-2-2-222-2-200000000000000000000-22-22-2-222-2-20000000000000002-22000000000
χ2022222-22220222222-2-2-200000020002-2-2-2-2-2-2-22200000000000000000000-222-2-2-2-2-22200000000000000022-2000000000
χ212222-1222-122-1-12-1-122-1002222-122-1-12-1-1000022022000022-1-122-1-12-1-1-1-1-10020000-1-1002-12-100-1-1-1-100200-10-1-10000-10
χ222222-1222-122-1-12-1-122-10022-2-2-122-1-12-1-10000-2-202-2000022-1-1-2-2112-1-1-1-1-100-2000011002-1-2100-1-11100-20010-11000010
χ232222-1222-122-1-12-1-122-100-2-222-122-1-12-1-10000-2-20-220000-2-21122-1-12-1-1-1-1-100-200001100-212-10011-1-100-200101-1000010
χ242222-1222-122-1-12-1-122-100-2-2-2-2-122-1-12-1-10000220-2-20000-2-211-2-2112-1-1-1-1-10020000-1-100-21-2100111100200-10110000-10
χ252222-1222-1-22-1-12-1-122-1002222-1-2-21-12-1-10000220-2-2000022-1-122-1-1-21111-10020000-1-100-21-2100-1-1-1-100-200-1011000010
χ262222-1222-1-22-1-12-1-122-10022-2-2-1-2-21-12-1-10000-2-20-22000022-1-1-2-211-21111-100-200001100-212-100-1-11100200101-10000-10
χ272222-1222-1-22-1-12-1-122-100-2-222-1-2-21-12-1-10000-2-202-20000-2-21122-1-1-21111-100-2000011002-1-210011-1-10020010-110000-10
χ282222-1222-1-22-1-12-1-122-100-2-2-2-2-1-2-21-12-1-10000220220000-2-211-2-211-21111-10020000-1-1002-12-100111100-200-10-1-1000010
χ29222-1222-122-12-1-12-12-12220022-12-12-1-12-100220020222-1-10000-1-122-12-1-1-1-102000-1-1002-100-12-1-100-1-10200-10-10-1000-100
χ30222-1222-122-12-1-12-12-122200-2-2-12-12-1-12-100-2-20020-222-1-1000011-2-2-12-1-1-1-10-200011002-1001-2-1-100110-20010-101000100
χ31222-1222-122-12-1-12-12-12-2-20022-12-12-1-12-100-2-200-202-2-2110000-1-122-12-1-1-1-10-20001100-2100-121100-1-10-2001010-1000100
χ32222-1222-122-12-1-12-12-12-2-200-2-2-12-12-1-12-1002200-20-2-2-211000011-2-2-12-1-1-1-102000-1-100-21001-21100110200-10101000-100
χ33222-1222-12-2-12-1-12-12-12220022-1-21-2-1-12-1002200-20-222-1-10000-1-1221-2111-102000-1-100-21001-2-1-100-1-10-200-10101000100
χ34222-1222-12-2-12-1-12-12-122200-2-2-1-21-2-1-12-100-2-200-20222-1-1000011-2-21-2111-10-20001100-2100-12-1-1001102001010-1000-100
χ35222-1222-12-2-12-1-12-12-12-2-20022-1-21-2-1-12-100-2-20020-2-2-2110000-1-1221-2111-10-200011002-1001-21100-1-1020010-101000-100
χ36222-1222-12-2-12-1-12-12-12-2-200-2-2-1-21-2-1-12-1002200202-2-211000011-2-21-2111-102000-1-1002-100-121100110-200-10-10-1000100
χ3722-1222-1222-1-12-1-12-122222200-1-122-1-1-12220000220-1-122-1-1220000-1-12-1-1-1200-1-10000-12-1200-1-1-1-100200-100-1-1000-1000
χ3822-1222-1222-1-12-1-12-12222-2-200-1-122-1-1-12-2-200002-20-1-12211-2-20000-1-12-1-1-1-200110000-121-200-1-11100-200100-110001000
χ3922-1222-1222-1-12-1-12-122-2-22200-1-122-1-1-12-2-20000-22011-2-2-1-1220000-1-12-1-1-1-2001100001-2-120011-1-100-2001001-10001000
χ4022-1222-1222-1-12-1-12-122-2-2-2-200-1-122-1-1-12220000-2-2011-2-211-2-20000-1-12-1-1-1200-1-100001-21-200111100200-10011000-1000
χ4122-1222-122-2-1-12-1-12-122222200-11-2-2-1-1-12220000-2-20-1-122-1-122000011-211-1200-1-100001-21-200-1-1-1-100-200-100110001000
χ4222-1222-122-2-1-12-1-12-12222-2-200-11-2-2-1-1-12-2-20000-220-1-12211-2-2000011-211-1-2001100001-2-1200-1-111002001001-1000-1000
χ4322-1222-122-2-1-12-1-12-122-2-22200-11-2-2-1-1-12-2-200002-2011-2-2-1-122000011-211-1-200110000-121-20011-1-100200100-11000-1000
χ4422-1222-122-2-1-12-1-12-122-2-2-2-200-11-2-2-1-1-1222000022011-2-211-2-2000011-211-1200-1-10000-12-1200111100-200-100-1-10001000
χ452-22220-2-2-20222-2-2-2000−i2i2−i2i2−i2i22000-20002-22-22-2000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000002-22-22-2000000−i2i2−i2i2−i2i2000000000−i2i20000
χ462-22220-2-2-20222-2-2-2000−i2i2−i2i2i2−i22000-20002-2-22-22000−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000002-2-22-22000000−i2i2−i2i2i2−i2000000000i2−i20000
χ472-22220-2-2-20222-2-2-2000−i2i2i2−i2−i2i22000-2000-222-2-22000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000-222-2-22000000−i2i2i2−i2−i2i2000000000i2−i20000
χ482-22220-2-2-20222-2-2-2000−i2i2i2−i2i2−i22000-2000-22-222-2000−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2000000000-22-222-2000000−i2i2i2−i2i2−i2000000000−i2i20000
χ492-22220-2-2-20222-2-2-2000i2−i2−i2i2−i2i22000-2000-22-222-2000i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2000000000-22-222-2000000i2−i2−i2i2−i2i2000000000i2−i20000
χ502-22220-2-2-20222-2-2-2000i2−i2−i2i2i2−i22000-2000-222-2-22000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000-222-2-22000000i2−i2−i2i2i2−i2000000000−i2i20000
χ512-22220-2-2-20222-2-2-2000i2−i2i2−i2−i2i22000-20002-2-22-22000i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000002-2-22-22000000i2−i2i2−i2−i2i2000000000−i2i20000
χ522-22220-2-2-20222-2-2-2000i2−i2i2−i2i2−i22000-20002-22-22-2000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000002-22-22-2000000i2−i2i2−i2i2−i2000000000i2−i20000
χ534444-2-444-204-2-24-2-2-4-42000000-2000-2-42200004400000000000000000000200-40000-2-2000000000000000002000000000
χ544444-2-444-204-2-24-2-2-4-42000000-2000-2-4220000-4-400000000000000000000200400002200000000000000000-2000000000
χ55444-24-44-240-24-2-24-2-42-4000000-2000-22-420044000000000000000000000020-4000-2-200000000000000000020000000000
χ56444-24-44-240-24-2-24-2-42-4000000-2000-22-4200-4-4000000000000000000000020400022000000000000000000-20000000000
χ57444-2-244-2-24-2-21-2-214-2-200004414-2-21-2-2100000000400000000-2-2-2-2-2-211110000000000000-2-2000011000000001000000
χ58444-2-244-2-24-2-21-2-214-2-20000-4-414-2-21-2-2100000000-4000000002222-2-211110000000000000220000-1-100000000-1000000
χ59444-2-244-2-2-4-2-21-2-214-2-20000441-4221-2-2100000000-400000000-2-2-2-222-1-1-1100000000000002200001100000000-1000000
χ60444-2-244-2-2-4-2-21-2-214-2-20000-4-41-4221-2-2100000000400000000222222-1-1-110000000000000-2-20000-1-1000000001000000
χ6144-244-4-2440-2-24-2-242-4-4000000-2000-222-4440000000000000000000000002-400-2-20000000000000000000200000000000
χ6244-244-4-2440-2-24-2-242-4-4000000-2000-222-4-4-40000000000000000000000002400220000000000000000000-200000000000
χ6344-24-24-24-24-21-2-21-2-24-20044001-24-21-21-20000000400000-2-2-2-20000-21-211100000000000-2-200001100000000010000000
χ6444-24-24-24-24-21-2-21-2-24-200-4-4001-24-21-21-20000000-40000022220000-21-211100000000000220000-1-1000000000-10000000
χ6544-24-24-24-2-4-21-2-21-2-24-200440012-421-21-20000000-400000-2-2-2-200002-12-1-110000000000022000011000000000-10000000
χ6644-24-24-24-2-4-21-2-21-2-24-200-4-40012-421-21-20000000400000222200002-12-1-1100000000000-2-20000-1-100000000010000000
χ6744-2-244-2-2441-2-21-2-2-2-244400001-2-2411-2-2000000400-2-2-2-2000000001-2-2111000000000-2-20000110000000000100000000
χ6844-2-244-2-2441-2-21-2-2-2-24-4-400001-2-2411-2-2000000-4002222000000001-2-2111000000000220000-1-10000000000-100000000
χ6944-2-244-2-24-41-2-21-2-2-2-24440000122-411-2-2000000-400-2-2-2-200000000-122-1-11000000000220000110000000000-100000000
χ7044-2-244-2-24-41-2-21-2-2-2-24-4-40000122-411-2-2000000400222200000000-122-1-11000000000-2-20000-1-10000000000100000000
χ714-444-20-4-4204-2-2-42200000−2i22i2−2i22i2-2000200000004-40000000−2i22i2i2−i2−2i22i2i2−i20000000000000-2200000000i2−i2i2−i2000000000000000
χ724-444-20-4-4204-2-2-42200000−2i22i22i2−2i2-200020000000-440000000−2i22i2i2−i22i2−2i2−i2i200000000000002-200000000i2−i2−i2i2000000000000000
χ734-444-20-4-4204-2-2-422000002i2−2i2−2i22i2-200020000000-4400000002i2−2i2−i2i2−2i22i2i2−i200000000000002-200000000−i2i2i2−i2000000000000000
χ744-444-20-4-4204-2-2-422000002i2−2i22i2−2i2-2000200000004-400000002i2−2i2−i2i22i2−2i2−i2i20000000000000-2200000000−i2i2−i2i2000000000000000
χ754-44-240-42-40-24-22-42000−2i22i200−2i22i2-20002000004-400000−2i22i2i2−i20000i2−i2−2i22i200000000000-2200000000i2−i200i2−i2000000000000000
χ764-44-240-42-40-24-22-42000−2i22i2002i2−2i2-2000200000-4400000−2i22i2i2−i20000−i2i22i2−2i2000000000002-200000000i2−i200−i2i2000000000000000
χ774-44-240-42-40-24-22-420002i2−2i200−2i22i2-2000200000-44000002i2−2i2−i2i20000i2−i2−2i22i2000000000002-200000000−i2i200i2−i2000000000000000
χ784-44-240-42-40-24-22-420002i2−2i2002i2−2i2-20002000004-4000002i2−2i2−i2i20000−i2i22i2−2i200000000000-2200000000−i2i200−i2i2000000000000000
χ794-4-24402-4-40-2-2422-4000−2i22i2−2i22i200-200020004-40000000i2−i2−2i22i2i2−i2−2i22i20000000000000-220000000000i2−i2i2−i200000000000000000
χ804-4-24402-4-40-2-2422-4000−2i22i22i2−2i200-20002000-440000000i2−i2−2i22i2−i2i22i2−2i200000000000002-20000000000i2−i2−i2i200000000000000000
χ814-4-24402-4-40-2-2422-40002i2−2i2−2i22i200-20002000-440000000−i2i22i2−2i2i2−i2−2i22i200000000000002-20000000000−i2i2i2−i200000000000000000
χ824-4-24402-4-40-2-2422-40002i2−2i22i2−2i200-200020004-40000000−i2i22i2−2i2−i2i22i2−2i20000000000000-220000000000−i2i2−i2i200000000000000000
χ83888-4-4-88-4-40-4-42-4-42-8440000002000244-200000000000000000000000000-2000000000000000000000000000000000000
χ8488-48-4-8-48-40-42-4-42-44-84000000200024-2400000000000000000000000000-2000000000000000000000000000000000000
χ8588-4-48-8-4-4802-4-42-4-444-800000020002-24400000000000000000000000000-2000000000000000000000000000000000000
χ8688-4-4-48-4-4-48222222-4-4-4000000-1-4-4-4-1222000000000000000000000222-1-1-1000000000000000000000000000000000000
χ8788-4-4-48-4-4-4-8222222-4-4-4000000-1444-1222000000000000000000000-2-2-211-1000000000000000000000000000000000000
χ8888-4-4-4-8-4-4-40222222444000000-1000-1-2-2-2000000000000000000000000−3i33i31000000000000000000000000000000000000
χ8988-4-4-4-8-4-4-40222222444000000-1000-1-2-2-20000000000000000000000003i3−3i31000000000000000000000000000000000000
χ908-88-4-40-8440-4-4244-20000000−4i24i22000-2000000000000000000002i2−2i22i2−2i20000000000000000000000000−i2i2000000000000000
χ918-88-4-40-8440-4-4244-200000004i2−4i22000-200000000000000000000−2i22i2−2i22i20000000000000000000000000i2−i2000000000000000
χ928-8-48-404-840-42-44-2400000−4i24i2002000-200000000000000002i2−2i22i2−2i2000000000000000000000000000−i2i200000000000000000
χ938-8-48-404-840-42-44-24000004i2−4i2002000-20000000000000000−2i22i2−2i22i2000000000000000000000000000i2−i200000000000000000
χ948-8-4-48044-802-4-4-244000−4i24i200002000-20000000000002i2−2i22i2−2i200000000000000000000000000000−i2i20000000000000000000
χ958-8-4-48044-802-4-4-2440004i2−4i200002000-2000000000000−2i22i2−2i22i200000000000000000000000000000i2−i20000000000000000000
χ9616-16-8-8-808880444-4-4-4000000000-20002000000000000000000000000000000000000000000000000000000000000000000

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