Finite Group Databasebeta

← Group #11887466

Character table — Group #11887466

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444466666666888888888888121212121212121212121212121212121616161616161618182424242424242424363636363648484872
order12223344666666366688121212122424242444448888241212121224242424242424448812121212121224242424666612121222444612122424224881212122
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-1-1-1-11111111111-1-1111111111111-1-1-1-1-1-1-111-1-1-11-1-111-1-1111-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-11111111111111-1111111-1-1-1-1-1-1-1-11111111-1-1-11-111111-1-1-1-1-1-1-11-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-1-111-11
χ51111111111111111111111111111-1-1111111111111111111-11-1-1-1-1-1-1111111111111111-1-11-11-1-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111-1-1111111-1-1-1-111111111-1111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-1-1-1-111
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
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1111111-1
χ9111111111111111111-1-11111-1-1-1-11111-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-11111-11-1-1-1-1111-1-11-11-1
χ10111111111111111111-1-11111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-111111-1-11111-1-1-1-11-1-1-11-11
χ11111111111111111111-1-11111-1-1-1-111-1-111111-1-1-111-1-1-1-1-1-11-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1-1-1-1-111-1111
χ12111111111111111111-1-11111-1-1-1-111-1-11111-111111-1-1-1-1-1-11-111-1-111-1-1-1-11111-1-1-1-1111-1-11-1-1111-1-111-1111-1-1-1
χ13111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-111-1-1-1-1-1-1-111111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-11111-1-1-1111-1-11
χ14111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-1-111111-1-1-1-1-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-1111-1-1-111-1-1-11111-111-111-1
χ15111111111111111111-1-11111-1-1-1-1-1-1-1-111111-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-111-1-11-11111111-1-1-11-1-1
χ16111111111111111111-1-11111-1-1-1-1-1-1-1-11111-111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-11-1-11-111
χ17222222-2-2222222222200-2-2-2-20000222200000000-2-2000000-2-2000022-2-2220000000000022000-2000000-2000000
χ18222222-2-2222222222200-2-2-2-2000022-2-200000000-2-2000000-2200002222-2-200000000000-2-2000-20000002000000
χ19222222-2-2222222222200-2-2-2-20000-2-22200000000-2-20000002-20000-2-2-2-22200000000000-2-200020000002000000
χ20222222-2-2222222222200-2-2-2-20000-2-2-2-200000000-2-2000000220000-2-222-2-200000000000220002000000-2000000
χ2122222-122-1-1222-1-1-1-1-122-12-1222222200000022-1-1-1-1-1-1-1-1-1-1202222-1-1000000002-1-1-12-1-100020-1-1-1-1-10000000-10
χ2222222-122-1-1222-1-1-1-1-122-12-12222222000000-2-211-1-1-1-1-1-1-1-120-2-222-1-100000000-2111-211000-20-111-1-1000000010
χ2322222-122-1-1222-1-1-1-1-122-12-122222-2-200000022-1-1-1-1-1-1-1-1-1-1-20-2-2-2-211000000002-1-1-12-1-1000-2011111000000010
χ2422222-122-1-1222-1-1-1-1-122-12-122222-2-2000000-2-211-1-1-1-1-1-1-1-1-2022-2-21100000000-2111-211000201-1-1110000000-10
χ2522222-122-1-1222-1-1-1-1-1-2-2-12-12-2-2-2-2220000002-211-1-111111120-2-2-2-2-1-1000000002-1-1-1-21100020-111110000000-10
χ2622222-122-1-1222-1-1-1-1-1-2-2-12-12-2-2-2-222000000-22-1-1-1-11111112022-2-2-1-100000000-21112-1-1000-20-1-1-111000000010
χ2722222-122-1-1222-1-1-1-1-1-2-2-12-12-2-2-2-2-2-20000002-211-1-1111111-20222211000000002-1-1-1-211000-201-1-1-1-1000000010
χ2822222-122-1-1222-1-1-1-1-1-2-2-12-12-2-2-2-2-2-2000000-22-1-1-1-1111111-20-2-2221100000000-21112-1-100020111-1-10000000-10
χ292222-122222-1-1-12-1-1-1-1222-12-1-1-1-1-1002222222222-1-122-1-1-1-102000000-1-1-1-1-1-1-1-1-12-1-1-1-1-1002020000000000-1-100
χ302222-122222-1-1-12-1-1-1-1222-12-1-1-1-1-100222222-2-2-2-2-1-122-1-1-1-102000000-1-1-1-1-1-1-1-11-21111100-20-200000000001100
χ312222-122222-1-1-12-1-1-1-1222-12-1-1-1-1-100-2-2-2-2-2-22222-1-122-1-1-1-10-200000011111111-12-1-1-1-1-100-20-200000000001100
χ322222-122222-1-1-12-1-1-1-1222-12-1-1-1-1-100-2-2-2-2-2-2-2-2-2-2-1-122-1-1-1-10-2000000111111111-211111002020000000000-1-100
χ332222-122222-1-1-12-1-1-1-1-2-22-12-111110022-2-2-2-22-2-2-2-1-1-2-2111102000000-1-1-1-11111-12-1-11110020-20000000000-1100
χ342222-122222-1-1-12-1-1-1-1-2-22-12-111110022-2-2-2-2-2222-1-1-2-2111102000000-1-1-1-111111-211-1-1-100-20200000000001-100
χ352222-122222-1-1-12-1-1-1-1-2-22-12-1111100-2-222222-2-2-2-1-1-2-211110-20000001111-1-1-1-1-12-1-111100-20200000000001-100
χ362222-122222-1-1-12-1-1-1-1-2-22-12-1111100-2-22222-2222-1-1-2-211110-20000001111-1-1-1-11-211-1-1-10020-20000000000-1100
χ3722-2-222002-22-2-2-22-2-222−2000022−2−22i−2i2i−2i−i2−i2i2i20000002−222−2−20000−i2i22i−2i002i−2i−i2−i2i2i200000002-2000000−i2i20002−20000
χ3822-2-222002-22-2-2-22-2-222−2000022−2−22i−2i−2i2ii2i2−i2−i20000002−222−2−20000−i2i22i−2i00−2i2ii2i2−i2−i20000000-22000000−i2i2000−220000
χ3922-2-222002-22-2-2-22-2-222−2000022−2−2−2i2i2i−2i−i2−i2i2i20000002−222−2−20000i2−i2−2i2i002i−2i−i2−i2i2i20000000-22000000i2−i2000−220000
χ4022-2-222002-22-2-2-22-2-222−2000022−2−2−2i2i−2i2ii2i2−i2−i20000002−222−2−20000i2−i2−2i2i00−2i2ii2i2−i2−i200000002-2000000i2−i20002−20000
χ4122-2-222002-22-2-2-22-2-22−220000−2−2222i−2i2i−2ii2i2−i2−i2000000−22−2−2220000i2−i22i−2i002i−2ii2i2−i2−i200000002-2000000i2−i2000−220000
χ4222-2-222002-22-2-2-22-2-22−220000−2−2222i−2i−2i2i−i2−i2i2i2000000−22−2−2220000i2−i22i−2i00−2i2i−i2−i2i2i20000000-22000000i2−i20002−20000
χ4322-2-222002-22-2-2-22-2-22−220000−2−222−2i2i2i−2ii2i2−i2−i2000000−22−2−2220000−i2i2−2i2i002i−2ii2i2−i2−i20000000-22000000−i2i20002−20000
χ4422-2-222002-22-2-2-22-2-22−220000−2−222−2i2i−2i2i−i2−i2i2i2000000−22−2−2220000−i2i2−2i2i00−2i2i−i2−i2i2i200000002-2000000−i2i2000−220000
χ452-22-2222-2-22-22-2-22-22-20022-2-2000000002i−2i2i−2i0000-22000000002i−2i000000002i−2i2i−2i00000000000002i−2i002-20000000
χ462-22-2222-2-22-22-2-22-22-20022-2-2000000002i−2i2i−2i0000-2200000000−2i2i000000002i−2i2i−2i0000000000000−2i2i00-220000000
χ472-22-2222-2-22-22-2-22-22-20022-2-200000000−2i2i−2i2i0000-22000000002i−2i00000000−2i2i−2i2i00000000000002i−2i00-220000000
χ482-22-2222-2-22-22-2-22-22-20022-2-200000000−2i2i−2i2i0000-2200000000−2i2i00000000−2i2i−2i2i0000000000000−2i2i002-20000000
χ4944444-2-4-4-2-2444-2-2-2-2-2002-42-4000044000000000022000000-400000-2-20000000000000000000020000000000000
χ5044444-2-4-4-2-2444-2-2-2-2-2002-42-40000-4-40000000000220000004000002200000000000000000000-20000000000000
χ514444-24-4-444-2-2-24-2-2-2-200-42-420000004400000000220000000-400000022-2-2000000000000000000000000000000
χ524444-24-4-444-2-2-24-2-2-2-200-42-42000000-4-4000000002200000004000000-2-222000000000000000000000000000000
χ534444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-20000000044-2-211-2-211110000000000000000-2-211-2110000000000000000000
χ544444-2-244-2-2-2-2-2-2111144-2-2-2-2-2-2-2-200000000-4-42211-2-21111000000000000000022-1-12-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-21111-4-4-2-2-2-22222000000004-4221122-1-1-1-10000000000000000-2-2112-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-21111-4-4-2-2-2-2222200000000-44-2-21122-1-1-1-1000000000000000022-1-1-2110000000000000000000
χ5744-4-44-200-224-4-42-222-222−2200002222−22−224i−4i000000000000−22−2−2220000−2i22i2−2i2i00000000000000000000000i2−i2000000000
χ5844-4-44-200-224-4-42-222-222−2200002222−22−22−4i4i000000000000−22−2−22200002i2−2i22i−2i00000000000000000000000−i2i2000000000
χ5944-4-44-200-224-4-42-222-2−22220000−22−2222224i−4i0000000000002−222−2−200002i2−2i2−2i2i00000000000000000000000−i2i2000000000
χ6044-4-44-200-224-4-42-222-2−22220000−22−222222−4i4i0000000000002−222−2−20000−2i22i22i−2i00000000000000000000000i2−i2000000000
χ6144-4-4-24004-4-222-4-222-222−220000−2−222004i−4i−2i2−2i22i22i200000022−22−2−2220000000000−2i2ii2i2−i2−i200000000000000000000000000
χ6244-4-4-24004-4-222-4-222-222−220000−2−22200−4i4i2i22i2−2i2−2i200000022−22−2−22200000000002i−2i−i2−i2i2i200000000000000000000000000
χ6344-4-4-24004-4-222-4-222-2−2222000022−2−2004i−4i2i22i2−2i2−2i2000000−222222−2−20000000000−2i2i−i2−i2i2i200000000000000000000000000
χ6444-4-4-24004-4-222-4-222-2−2222000022−2−200−4i4i−2i2−2i22i22i2000000−222222−2−200000000002i−2ii2i2−i2−i200000000000000000000000000
χ654-44-444-44-44-44-4-44-44-400-4-44400000000000000004-4000000000000000000000000000000000000000000000000
χ664-44-44-24-42-2-44-42-22-2200-242-400000000000000002-2000000004i−4i0000000000000000000000000−2i2i00000000000
χ674-44-44-24-42-2-44-42-22-2200-242-400000000000000002-200000000−4i4i00000000000000000000000002i−2i00000000000
χ684-44-44-2-442-2-44-42-22-22002-4-240000000000000023−23-2200000000000000000000000000023−230000000000000000000
χ694-44-44-2-442-2-44-42-22-22002-4-2400000000000000−2323-22000000000000000000000000000−23230000000000000000000
χ704-44-4-244-4-442-22-4-22-22004-2-42000000004i−4i4i−4i00002-2000000000000000000−2i2i−2i2i00000000000000000000000000
χ714-44-4-244-4-442-22-4-22-22004-2-4200000000−4i4i−4i4i00002-20000000000000000002i−2i2i−2i00000000000000000000000000
χ724-44-4-24-44-442-22-4-22-2200-424-223−2323−23000000000000-220023−2323−23000000000000000000000000000000000000000000
χ734-44-4-24-44-442-22-4-22-2200-424-2−2323−2323000000000000-2200−2323−2323000000000000000000000000000000000000000000
χ744-44-4-2-2-442-22-2221-11-10022-2-223−2323−23000000000023−231-100−33−330000000000000000003-30−330000000000000000000
χ754-44-4-2-2-442-22-2221-11-10022-2-223−2323−230000000000−23231-100−33−33000000000000000000-3303−30000000000000000000
χ764-44-4-2-2-442-22-2221-11-10022-2-2−2323−2323000000000023−231-1003−33−3000000000000000000-330−330000000000000000000
χ774-44-4-2-2-442-22-2221-11-10022-2-2−2323−23230000000000−23231-1003−33−30000000000000000003-303−30000000000000000000
χ784-4-444400-4-4-4-44444-4-40000000000000022−22−222200000000000000000000000022−22−222200000000000000000000000000
χ794-4-444400-4-4-4-44444-4-400000000000000−222222−22000000000000000000000000−222222−2200000000000000000000000000
χ804-4-44-2400-4-422-24-2-2220000006−6−66000022−22−2222000000006−6−660000000023−2300−222−200000000000000000000000000
χ814-4-44-2400-4-422-24-2-2220000006−6−660000−222222−22000000006−6−6600000000−2323002−2−2200000000000000000000000000
χ824-4-44-2400-4-422-24-2-222000000−666−6000022−22−222200000000−666−600000000−232300−222−200000000000000000000000000
χ834-4-44-2400-4-422-24-2-222000000−666−60000−222222−2200000000−666−60000000023−23002−2−2200000000000000000000000000
χ848888-4-4-8-8-4-4-4-4-4-422220044440000000000000000-2-2000000000000000000000000000000000000000000000000
χ8588-8-8-4-400-44-44442-2-2242−420000−22−22222200000000000000−222222−2−2000000000000000000000000000000000000000000
χ8688-8-8-4-400-44-44442-2-22−424200002222−22−220000000000000022−22−2−222000000000000000000000000000000000000000000
χ878-88-8-4-48-84-44-4442-22-200-4-4440000000000000000-22000000000000000000000000000000000000000000000000
χ888-8-888-40044-8-88-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000
χ898-8-88-4-4004444-4-422-2-200000026−26−26260000000000000000−666−6000000000000000000000000000000000000000000
χ908-8-88-4-4004444-4-422-2-2000000−262626−2600000000000000006−6−66000000000000000000000000000000000000000000

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