Finite Group Databasebeta

← Group #11887426

Character table — Group #11887426

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order1222334466666636668812121212242424242244888844121212122424242424244444668812121212242424241212121212121244244121212242422288612122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-111-1-1-11-1-1111-1-111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111-11111111-1-1-1-1-1-1-1-11111111-1-1-1-1111111-1-1-1-1-1-1-11-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-111-111-1-111-11
χ51111111111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1111111-1-1-1-1111111111-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111-1-1-11
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-11-1-111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-11-11-1-111111-111-1-1-1-1111-1-11-11-1
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-111-1-111-11-1111-1-11-1-1-1-1-11-11
χ11111111111111111111-1-11111-1-1-1-111-1-111111-1-1-111-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111111-11-1-111-1-1-1111-1-1-1-1-1-1-111-1111
χ12111111111111111111-1-11111-1-1-1-111-1-11111-111111-1-1-1-1-1-1-111111-1-1-1-1-1-11111-11-111-1-1-1-11-1-1111-1-1-111111-1-1-1
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-11-111-1-1111111-1-1-1-11-11-1-111-1-11-1-1-11111-1-1-1111-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-1-1-11-1-1-1-1-1111111-1-1-1-1-11-111-1-1-1-1-111-1-1-111-11111-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-11-1-11111-11-1-11111111-1-1-11-1-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-111-1-1111-11-1-1-1111-1-1-1-11-111
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-2-200220022-2-20000000000022000-20000-200000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-20000002-2002200-2-22200000000000-2-2000-20000200000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-2000000-2200-2-20022-2-200000000000-2-200020000200000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-20000002200-2-200-2-222000000000002200020000-200000000
χ2122222-1222-1-12-12-1-1-1-122-12-12-1-1-1-1002222222222-1-122-1-1-1-120000000-1-1-1-1-1-1-1-1-1-12-1-1-1-1002200000000000-1-100
χ2222222-1222-1-12-12-1-1-1-122-12-12-1-1-1-100222222-2-2-2-2-1-122-1-1-1-120000000-1-1-1-1-1-1-1-111-2111100-2-2000000000001100
χ2322222-1222-1-12-12-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-22222-1-122-1-1-1-1-2000000011111111-1-12-1-1-1-100-2-2000000000001100
χ2422222-1222-1-12-12-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-1-200000001111111111-21111002200000000000-1-100
χ2522222-1222-1-12-12-1-1-1-1-2-2-12-1211110022-2-2-2-22-2-2-2-1-1-2-2111120000000-1-1-1-11111-11211-1-1002-200000000000-1100
χ2622222-1222-1-12-12-1-1-1-1-2-2-12-1211110022-2-2-2-2-2222-1-1-2-2111120000000-1-1-1-111111-1-2-1-11100-22000000000001-100
χ2722222-1222-1-12-12-1-1-1-1-2-2-12-12111100-2-222222-2-2-2-1-1-2-21111-200000001111-1-1-1-1-11211-1-100-22000000000001-100
χ2822222-1222-1-12-12-1-1-1-1-2-2-12-12111100-2-22222-2222-1-1-2-21111-200000001111-1-1-1-11-1-2-1-111002-200000000000-1100
χ292222-1222-122-12-1-1-1-1-1222-12-122222200000022-1-1-1-1-1-1-1-1-1-10222-1-1220000000022-1-1-1-1-100002-1-1-1-1-10000000-10
χ302222-1222-122-12-1-1-1-1-1222-12-1222222000000-2-211-1-1-1-1-1-1-1-102-2-2-1-12200000000-2-2111110000-2-111-1-1000000010
χ312222-1222-122-12-1-1-1-1-1222-12-12222-2-200000022-1-1-1-1-1-1-1-1-1-10-2-2-211-2-20000000022-1-1-1-1-10000-211111000000010
χ322222-1222-122-12-1-1-1-1-1222-12-12222-2-2000000-2-211-1-1-1-1-1-1-1-10-22211-2-200000000-2-211111000021-1-1110000000-10
χ332222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-2220000002-211-1-111111102-2-2-1-1-2-2000000002-2-111-1-100002-111110000000-10
χ342222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-222000000-22-1-1-1-11111110222-1-1-2-200000000-221-1-1110000-2-1-1-111000000010
χ352222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-2-2-20000002-211-1-11111110-2221122000000002-2-111-1-10000-21-1-1-1-1000000010
χ362222-1222-122-12-1-1-1-1-1-2-22-12-1-2-2-2-2-2-2000000-22-1-1-1-11111110-2-2-2112200000000-221-1-11100002111-1-10000000-10
χ3722-2-222002-2-2-22-222-2-22−2000022−2−22-22i−2i−i2−i2i2i20000002−222−2−200002-22−22i−2i00−i2−i2i2i200000002i−2i0000002−2000−i2i20000
χ3822-2-222002-2-2-22-222-2-22−2000022−2−22-2−2i2ii2i2−i2−i20000002−222−2−200002-22−2−2i2i00i2i2−i2−i20000000−2i2i0000002−2000i2−i20000
χ3922-2-222002-2-2-22-222-2-22−2000022−2−2-222i−2i−i2−i2i2i20000002−222−2−20000-22−222i−2i00−i2−i2i2i20000000−2i2i000000−22000i2−i20000
χ4022-2-222002-2-2-22-222-2-22−2000022−2−2-22−2i2ii2i2−i2−i20000002−222−2−20000-22−22−2i2i00i2i2−i2−i200000002i−2i000000−22000−i2i20000
χ4122-2-222002-2-2-22-222-2-2−220000−2−2222-22i−2ii2i2−i2−i2000000−22−2−22200002-2−222i−2i00i2i2−i2−i200000002i−2i000000−22000i2−i20000
χ4222-2-222002-2-2-22-222-2-2−220000−2−2222-2−2i2i−i2−i2i2i2000000−22−2−22200002-2−22−2i2i00−i2−i2i2i20000000−2i2i000000−22000−i2i20000
χ4322-2-222002-2-2-22-222-2-2−220000−2−222-222i−2ii2i2−i2−i2000000−22−2−2220000-222−22i−2i00i2i2−i2−i20000000−2i2i0000002−2000−i2i20000
χ4422-2-222002-2-2-22-222-2-2−220000−2−222-22−2i2i−i2−i2i2i2000000−22−2−2220000-222−2−2i2i00−i2−i2i2i200000002i−2i0000002−2000i2−i20000
χ452-22-2222-2-22-22-2-22-2-220022-2-2000000002i−2i2i−2i0000-22000000002i−2i000000002i−2i2i−2i00000000000002i−2i0002-2000000
χ462-22-2222-2-22-22-2-22-2-220022-2-2000000002i−2i2i−2i0000-2200000000−2i2i000000002i−2i2i−2i0000000000000−2i2i000-22000000
χ472-22-2222-2-22-22-2-22-2-220022-2-200000000−2i2i−2i2i0000-22000000002i−2i00000000−2i2i−2i2i00000000000002i−2i000-22000000
χ482-22-2222-2-22-22-2-22-2-220022-2-200000000−2i2i−2i2i0000-2200000000−2i2i00000000−2i2i−2i2i0000000000000−2i2i0002-2000000
χ4944444-2-4-44-2-24-24-2-2-2-2002-42-4000000440000000022000000-40000000-2-222000000000000000000000000000000
χ5044444-2-4-44-2-24-24-2-2-2-2002-42-4000000-4-400000000220000004000000022-2-2000000000000000000000000000000
χ514444-24-4-4-244-24-2-2-2-2-200-42-420000440000000000220000000-400-2-2000000000000000000000020000000000000
χ524444-24-4-4-244-24-2-2-2-2-200-42-420000-4-40000000000220000000400220000000000000000000000-20000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-2-2-211110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-211110000000000000000222-1-1-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4221122-1-1-1-10000000000000000-22-2-1-1110000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44-2-21122-1-1-1-100000000000000002-2211-1-10000000000000000000
χ5744-4-44-200422-4-2-4-2-22222−220000−2−222004i−4i−2i2−2i22i22i200000022−22−2−22200000000−2i2i00i2i2−i2−i200000000000000000000000000
χ5844-4-44-200422-4-2-4-2-22222−220000−2−22200−4i4i2i22i2−2i2−2i200000022−22−2−222000000002i−2i00−i2−i2i2i200000000000000000000000000
χ5944-4-44-200422-4-2-4-2-222−2222000022−2−2004i−4i2i22i2−2i2−2i2000000−222222−2−200000000−2i2i00−i2−i2i2i200000000000000000000000000
χ6044-4-44-200422-4-2-4-2-222−2222000022−2−200−4i4i−2i2−2i22i22i2000000−222222−2−2000000002i−2i00i2i2−i2−i200000000000000000000000000
χ6144-4-4-2400-2-4-4242-2-22222−2200002222−22−224-4000000000000−22−2−2220000-2222−2200000000000000000000000−22000000000
χ6244-4-4-2400-2-4-4242-2-22222−2200002222−22−22-44000000000000−22−2−22200002-2−2222000000000000000000000002−2000000000
χ6344-4-4-2400-2-4-4242-2-222−22220000−22−2222224-40000000000002−222−2−20000-22−2222000000000000000000000002−2000000000
χ6444-4-4-2400-2-4-4242-2-222−22220000−22−222222-440000000000002−222−2−200002-222−2200000000000000000000000−22000000000
χ654-44-444-44-44-44-4-44-4-4400-4-44400000000000000004-4000000000000000000000000000000000000000000000000
χ664-44-44-24-4-4-2242-4-222-200-242-4000000004i−4i4i−4i00002-2000000000000000000−2i2i−2i2i00000000000000000000000000
χ674-44-44-24-4-4-2242-4-222-200-242-400000000−4i4i−4i4i00002-20000000000000000002i−2i2i−2i00000000000000000000000000
χ684-44-44-2-44-4-2242-4-222-2002-4-2423−2323−23000000000000-220023−2323−23000000000000000000000000000000000000000000
χ694-44-44-2-44-4-2242-4-222-2002-4-24−2323−2323000000000000-2200−2323−2323000000000000000000000000000000000000000000
χ704-44-4-244-424-4-2-42-222-2004-2-4200000000000000002-2000000004i−4i0000000000000000000000000−2i2i00000000000
χ714-44-4-244-424-4-2-42-222-2004-2-4200000000000000002-200000000−4i4i00000000000000000000000002i−2i00000000000
χ724-44-4-24-4424-4-2-42-222-200-424-20000000000000023−23-22000000000000000000000000023−23000000000000000000000
χ734-44-4-24-4424-4-2-42-222-200-424-200000000000000−2323-220000000000000000000000000−2323000000000000000000000
χ744-44-4-2-2-442-22-2221-1-110022-2-223−2323−23000000000023−231-100−33−330000000000000000000−333-30000000000000000000
χ754-44-4-2-2-442-22-2221-1-110022-2-223−2323−230000000000−23231-100−33−3300000000000000000003−3-330000000000000000000
χ764-44-4-2-2-442-22-2221-1-110022-2-2−2323−2323000000000023−231-1003−33−30000000000000000000−33-330000000000000000000
χ774-44-4-2-2-442-22-2221-1-110022-2-2−2323−23230000000000−23231-1003−33−300000000000000000003−33-30000000000000000000
χ784-4-444400-4-44-4-444-44-40000000000000022−22−222200000000000000000000000022−22−222200000000000000000000000000
χ794-4-444400-4-44-4-444-44-400000000000000−222222−22000000000000000000000000−222222−2200000000000000000000000000
χ804-4-444-200-42-2-424-22-220000006−6−66000022−22−2222000000006−6−66000000000023−23−222−200000000000000000000000000
χ814-4-444-200-42-2-424-22-220000006−6−660000−222222−22000000006−6−660000000000−23232−2−2200000000000000000000000000
χ824-4-444-200-42-2-424-22-22000000−666−6000022−22−222200000000−666−60000000000−2323−222−200000000000000000000000000
χ834-4-444-200-42-2-424-22-22000000−666−60000−222222−2200000000−666−6000000000023−232−2−2200000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-4444-4422-2-242−420000−22−22222200000000000000−222222−2−2000000000000000000000000000000000000000000
χ8688-8-8-4-400-4444-4422-2-2−424200002222−22−220000000000000022−22−2−222000000000000000000000000000000000000000000
χ878-88-8-4-48-84-44-4442-2-2200-4-4440000000000000000-22000000000000000000000000000000000000000000000000
χ888-8-88-48004-884-8-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-40044-444-42-22-200000026−26−26260000000000000000−666−6000000000000000000000000000000000000000000
χ908-8-88-4-40044-444-42-22-2000000−262626−2600000000000000006−6−66000000000000000000000000000000000000000000

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