Finite Group Databasebeta

← Group #13171574

Character table — Group #13171574

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122222223344444444446666688888888881212121212121212121212121216161616161818242424242424242424242424242424363636363636363636363648485454727272108
order123334666442333666121212212121212366666612121244466881212242424246666122461212121212121212242424242424224688122424242412122466122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1111-11111-1-111111-1-11111-11-1111-111-1-11-1-1-11-1-111-1-11-1-1-11-1-1-1
χ31111111111111111111111111111111111111-1111-1111-1-11111111-1-1111-11-1111-11-1-111-11-1-1-11-1-1-111-11-1-1-11-1-1
χ41111111111111111111111111111111111111-1-111-1-111-1-1-1-11111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-111-1-111
χ511111111111-1111111111111111-1-1-1-1-11111-11111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-11-1-11-1-1-1-1111111-1-1
χ611111111111-1111111111111111-1-1-1-1-11111-11-111-1111-1-111-1-1-1-11-1-11-1-11-11-1-1-1-11-1-1111-11-1-11-1-1-1111-1-1-11-111
χ711111111111-1111111111111111-1-1-1-1-11111-1-11111-11111-1-1-1-1-1-11-1-11-1-1-11-11-1-11-111-1-1-111-11-1-111-1-1-11-1-1-1111
χ811111111111-1111111111111111-1-1-1-1-11111-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-111111111-1-111-1-1-1-1
χ9111111111-1-11111111111-1-1-1-1-11111111111-111-1-111-1-111111111111-1-1-11111-1-1111111-1-111-1-11-1-1-1-111-1-1-1-11-1
χ10111111111-1-11111111111-1-1-1-1-11111111111-11-1-1-11-1-1-111-1-111111-1-1-1-1-11-11-1-1-11-111-1-1-11-1-1-11-1-1-1111-111-11-11
χ11111111111-1-11111111111-1-1-1-1-11111111111-1-11-1-1-11-1-1-1-11111111-1-1-1-1-1-11-11-1-1-11-1-1111-1-1-11-1-111-1-1-11111-1-11
χ12111111111-1-11111111111-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1111-1
χ13111111111-1-1-1111111111-1-1-1-1-11-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-111111111-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-11
χ14111111111-1-1-1111111111-1-1-1-1-11-1-1-1-1-1111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1111-11-111-11-1-111-111-11-1-111-1-11-111-111-1
χ15111111111-1-1-1111111111-1-1-1-1-11-1-1-1-1-111111-11-1-11-1-1-111-1-1-1-1-1-11-1-1-111-11-11111-111-1-11-11-1-11-1-1-111-11111-11-1
χ16111111111-1-1-1111111111-1-1-1-1-11-1-1-1-1-111111-1-1-1-111-1-11111-1-1-1-1111-111-1-1-1-11111111111-11-1-11-1-1-1-1-1-1-1-111-11
χ1722222-2222220222222-2-2-2-222222000002-2-2-2000-2-2002200000000-22-2-200000000000000000200-2000000-220000
χ1822222-2222220222222-2-2-2-222222000002-2-2-2000-2-2002200000000-2-22-200000000000000000-20020000002-20000
χ1922222-2222-2-20222222-2-2-22-2-2-2-22000002-2-2-20002200-2-200000000-22-2200000000000000000200-20000002-20000
χ2022222-2222-2-20222222-2-2-22-2-2-2-22000002-2-2-20002200-2-200000000-2-22200000000000000000-2002000000-220000
χ212222-122-122222-1-12-1-122-1222-1-1-122-1-1-1-1-12-12022-102-1-100-1-12-1-1-1-100-12-10-102-1-10200-1-1020002000-1-10-1000-100
χ222222-122-122222-1-12-1-122-1222-1-1-122-1-1-1-1-12-120-22-10-2-1-100112-1-1-1-100-12-1010-2-1-10-200110-2000-20001101000100
χ232222-122-1222-22-1-12-1-122-1222-1-1-1-2-2111-1-12-1-2022-10-2-1-10011-2111-100-1-210-102110-2001102000-2000110-1000-100
χ242222-122-1222-22-1-12-1-122-1222-1-1-1-2-2111-1-12-1-20-22-102-1-100-1-1-2111-100-1-21010-2110200-1-10-20002000-1-101000100
χ252222-122-12-2-222-1-12-1-122-1-2-2-211-122-1-1-1-1-12-1-202-21021100-1-12-1-1-1-1001-210-102110200-1-10-2000-2000110-1000100
χ262222-122-12-2-222-1-12-1-122-1-2-2-211-122-1-1-1-1-12-1-20-2-210-21100112-1-1-1-1001-21010-2110-20011020002000-1-101000-100
χ272222-122-12-2-2-22-1-12-1-122-1-2-2-211-1-2-2111-1-12-1202-210-2110011-2111-10012-10-102-1-10-200110-20002000-1-10-1000100
χ282222-122-12-2-2-22-1-12-1-122-1-2-2-211-1-2-2111-1-12-120-2-21021100-1-1-2111-10012-1010-2-1-10200-1-102000-20001101000-100
χ29222-122-122222-12-1-12-12-122-1-122-12-12-1-1-1-1-12220-1220-1-1-1-100-12-1-1-100-1-12-1020-1-120-1-1002000200-1-100-1000-1000
χ30222-122-122222-12-1-12-12-122-1-122-12-12-1-1-1-1-122-20-12-20-1-11100-12-1-1-100-1-1210-20-1-1-201100-2000-200110010001000
χ31222-122-12222-2-12-1-12-12-122-1-122-1-21-211-1-1-12-220-12-20-1-111001-211-100-11-2-102011-2011002000-2001100-1000-1000
χ32222-122-12222-2-12-1-12-12-122-1-122-1-21-211-1-1-12-2-20-1220-1-1-1-1001-211-100-11-210-201120-1-100-2000200-1-10010001000
χ33222-122-122-2-22-12-1-12-12-12-211-2-2-12-12-1-1-1-1-12-2201-22011-1-100-12-1-1-10011-2-10201120-1-100-2000-2001100-10001000
χ34222-122-122-2-22-12-1-12-12-12-211-2-2-12-12-1-1-1-1-12-2-201-2-20111100-12-1-1-10011-210-2011-2011002000200-1-1001000-1000
χ35222-122-122-2-2-2-12-1-12-12-12-211-2-2-1-21-211-1-1-122201-2-201111001-211-1001-12-1020-1-1-201100-2000200-1-100-10001000
χ36222-122-122-2-2-2-12-1-12-12-12-211-2-2-1-21-211-1-1-122-201-22011-1-1001-211-1001-1210-20-1-120-1-1002000-20011001000-1000
χ3722-122222-1002-1-12-1-12-12200000-1-12222-12-1-10220022002222-1-1-1-1-12200022-1-100-1-1-1-1-1-1002-100-10000-1-10000-10
χ3822-122222-1002-1-12-1-12-12200000-1-12222-12-1-102-2002-20022-2-2-1-1-1-1-1-2-20002-2-1100-11-1-11100-210010000-11000010
χ3922-122222-1002-1-12-1-12-12200000-1-12222-12-1-10-2200-2200-2-222-1-1-1-1-1-2-2000-221-1001-111-1-100-2100100001-1000010
χ4022-122222-1002-1-12-1-12-12200000-1-12222-12-1-10-2-200-2-200-2-2-2-2-1-1-1-1-122000-2-21100111111002-100-10000110000-10
χ4122-122222-100-2-1-12-1-12-12200000-11-2-2-2-2-12-1-102200-2-200-2-2-2-21111-12200022-1-10011111100-2-100-10000-1-1000010
χ4222-122222-100-2-1-12-1-12-12200000-11-2-2-2-2-12-1-102-200-2200-2-2221111-1-2-20002-2-11001-111-1-100210010000-110000-10
χ4322-122222-100-2-1-12-1-12-12200000-11-2-2-2-2-12-1-10-22002-20022-2-21111-1-2-2000-221-100-11-1-111002100100001-10000-10
χ4422-122222-100-2-1-12-1-12-12200000-11-2-2-2-2-12-1-10-2-200220022221111-122000-2-21100-1-1-1-1-1-100-2-100-1000011000010
χ454444-2-44-244404-2-24-2-2-4-42-444-2-2-200000-22-42000-4200-2-2000000002002000000000000000000000000000000000
χ464444-2-44-24-4-404-2-24-2-2-4-424-4-422-200000-22-420004-2002200000000200-2000000000000000000000000000000000
χ47444-24-4-244440-24-2-24-2-42-4-4-2-244-200000-222-40002-400-2-2000000002002000000000000000000000000000000000
χ48444-24-4-244-4-40-24-2-24-2-42-4422-4-4-200000-222-4000-24002200000000200-2000000000000000000000000000000000
χ49444-2-24-2-24444-2-21-2-214-2-24-2-2-2-214-2-21111-2-2400-2-200110000-2-2111001-2-20000110000000000000000000000000
χ50444-2-24-2-2444-4-2-21-2-214-2-24-2-2-2-21-422-1-111-2-2-400-2-20011000022-1-11001220000-1-10000000000000000000000000
χ51444-2-24-2-24-4-44-2-21-2-214-2-2-4222214-2-21111-2-2-4002200-1-10000-2-211100-1220000-1-10000000000000000000000000
χ52444-2-24-2-24-4-4-4-2-21-2-214-2-2-422221-422-1-111-2-24002200-1-1000022-1-1100-1-2-20000110000000000000000000000000
χ53444-2-2-4-2-24440-2-21-2-21-422-4-2-2-2-210003-31-1220002200110000003-3-100-10000003-30000000000000000000000000
χ54444-2-2-4-2-24440-2-21-2-21-422-4-2-2-2-21000-331-122000220011000000-33-100-1000000-330000000000000000000000000
χ55444-2-2-4-2-24-4-40-2-21-2-21-4224222210003-31-122000-2-200-1-10000003-3-1001000000-330000000000000000000000000
χ56444-2-2-4-2-24-4-40-2-21-2-21-422422221000-331-122000-2-200-1-1000000-33-10010000003-30000000000000000000000000
χ5744-244-444-2000-2-24-2-242-4-400000-200000-2-4220000000000000000024-4000000000000000000-2002000000000000
χ5844-244-444-2000-2-24-2-242-4-400000-200000-2-422000000000000000002-44000000000000000000200-2000000000000
χ5944-24-244-2-2004-21-2-21-2-24-2000001-24-2-2-21-2-2100400040000-2-2-21111000000-20-2000-200110000000000001000000
χ6044-24-244-2-2004-21-2-21-2-24-2000001-24-2-2-21-2-2100-4000-4000022-21111000000202000200-1-1000000000000-1000000
χ6144-24-244-2-200-4-21-2-21-2-24-20000012-42221-2-21004000-40000222-1-1-11000000-20-2000200-1-10000000000001000000
χ6244-24-244-2-200-4-21-2-21-2-24-20000012-42221-2-2100-400040000-2-22-1-1-11000000202000-20011000000000000-1000000
χ6344-2-244-24-20041-2-21-2-2-2-24000001-2-24-2-21-21-2040004000-2-2001-211100000-20-2000-2011000000000000010000000
χ6444-2-244-24-20041-2-21-2-2-2-24000001-2-24-2-21-21-20-4000-400022001-21110000020200020-1-10000000000000-10000000
χ6544-2-244-24-200-41-2-21-2-2-2-2400000122-4221-21-204000-40002200-12-1-1100000-20-200020-1-1000000000000010000000
χ6644-2-244-24-200-41-2-21-2-2-2-2400000122-4221-21-20-40004000-2-200-12-1-1100000202000-20110000000000000-10000000
χ674-44440-4-4-44i−4i0444-4-4-400004i−4i4i−4i400000-400000000004i−4i000000000000000000000000000000000000000000000
χ684-44440-4-4-4−4i4i0444-4-4-40000−4i4i−4i4i400000-40000000000−4i4i000000000000000000000000000000000000000000000
χ694-444-20-42-44i−4i04-2-2-42200004i−4i−2i2i-20000020000000000−2i2i006−6000000000000000000006−6000000000i6−i600000000
χ704-444-20-42-44i−4i04-2-2-42200004i−4i−2i2i-20000020000000000−2i2i00−6600000000000000000000−66000000000−i6i600000000
χ714-444-20-42-4−4i4i04-2-2-4220000−4i4i2i−2i-200000200000000002i−2i006−6000000000000000000006−6000000000−i6i600000000
χ724-444-20-42-4−4i4i04-2-2-4220000−4i4i2i−2i-200000200000000002i−2i00−6600000000000000000000−66000000000i6−i600000000
χ734-44-2402-4-44i−4i0-24-22-420000−2i2i4i−4i-20000020000000000−2i2i6−6000000000000000000006−6000000000i6−i60000000000
χ744-44-2402-4-44i−4i0-24-22-420000−2i2i4i−4i-20000020000000000−2i2i−6600000000000000000000−66000000000−i6i60000000000
χ754-44-2402-4-4−4i4i0-24-22-4200002i−2i−4i4i-200000200000000002i−2i6−6000000000000000000006−6000000000−i6i60000000000
χ764-44-2402-4-4−4i4i0-24-22-4200002i−2i−4i4i-200000200000000002i−2i−6600000000000000000000−66000000000i6−i60000000000
χ7788-48-4-88-4-4000-42-4-42-44-8400000200000244-200000000000000000-2000000000000000000000000000000000000
χ7888-4-48-8-48-40002-4-42-4-444-80000020000024-2400000000000000000-2000000000000000000000000000000000000
χ7988-4-4-48-4-4-4008222222-4-4-400000-1-4-4-422-1222000000000000022-1-1-1000000000000000000000000000000000000
χ8088-4-4-48-4-4-400-8222222-4-4-400000-1444-2-2-12220000000000000-2-211-1000000000000000000000000000000000000
χ8188-4-4-4-8-4-4-400022222244400000-10006-6-1-2-2-2000000000000000-331000000000000000000000000000000000000
χ8288-4-4-4-8-4-4-400022222244400000-1000-66-1-2-2-20000000000000003-31000000000000000000000000000000000000
χ838-88-4-4044-88i−8i0-4-4244-20000−4i4i−4i4i200000-200000000002i−2i000000000000000000000000000000000000000000000
χ848-88-4-4044-8−8i8i0-4-4244-200004i−4i4i−4i200000-20000000000−2i2i000000000000000000000000000000000000000000000
χ858-8-4880-8-84000-4-4844-800000000-4000004000000000000000000000000000000000000000000000000000000000
χ868-8-48-40-844000-42-44-2400000000200000-20000000000000026−2600000000000000000000−660000000000000000000
χ878-8-48-40-844000-42-44-2400000000200000-200000000000000−2626000000000000000000006−60000000000000000000
χ888-8-4-4804-840002-4-4-24400000000200000-200000000000026−2600000000000000000000−66000000000000000000000
χ898-8-4-4804-840002-4-4-24400000000200000-2000000000000−2626000000000000000000006−6000000000000000000000
χ9016-16-8-8-80888000444-4-4-400000000-2000002000000000000000000000000000000000000000000000000000000000

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