Finite Group Databasebeta

← Group #11885821

Character table — Group #11885821

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order1222334466666622366688121212122424242422448888121212124666612121212242424242424224466881212242424246612121244244666612121224242881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-111111-1-1-1-1-1-111111-1-11-11-1-1111-1-111-1-1-11-1-1
χ3111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-111111111111-1-1-11-111-1-1-111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-111
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-11111-1-1-111111-1-11-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1111-1-1-1-1111111-1-1-1-1-11-1-111111-1-1-1-1-111-11-1
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-11111-1-111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11111-11111-1
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-1-111-1-1111111-1-1-111-1-1111-1-1-1-1-1111-1-11-11
χ911111111111111-1-111111111111111111111111111-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-1
χ1011111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111111-1-1-1-111
χ1111111111111111-1-111111111111111-1-11111111111-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-111-1-1-1-1-1-1-1-1111
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1
χ1311111111111111-1-11111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111-1-1111-1-11-1-1-1-11-1-111-1
χ1411111111111111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-1111-1-1-111-1-1-1-1111-1-1-1111-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1-1111-1-11-1-11111-1-1-111-111-1-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111-1-1-111-111111-1-1-11-1
χ17222222-2-222222200222200-2-2-2-200002222000022220000000-2-200000000-2-22200-2-2000000000220000000-20000-200000
χ18222222-2-222222200222200-2-2-2-2000022-2-20000-2-2-2-20000000-2-2000000002-2220022000000000-2-20000000-20000200000
χ19222222-2-222222200222200-2-2-2-20000-2-222000022220000000-2-200000000-22-2-200-2-2000000000-2-2000000020000200000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-20000000022-2-2002200000000022000000020000-200000
χ2122222-122-12-12-1222-1-1-1-1222-12-12222220000000000222-1-122-1-1-1-1-1-1-1-10002-1-122000000-1-1-1-1-10020200-1-1-100-1-1000-100
χ2222222-122-12-12-1222-1-1-1-1222-12-12222-2-20000000000222-1-122-1-1-1-1-1-1-1-1000-211-2-2000000-1-1-1-1-100-20-2001110011000100
χ2322222-122-12-12-1222-1-1-1-1-2-22-12-1-2-2-2-2220000000000-222-1-1-2-2-1-11111110002-1-1-2-2000000-1-11110020-200-1-1-10011000100
χ2422222-122-12-12-1222-1-1-1-1-2-22-12-1-2-2-2-2-2-20000000000-222-1-1-2-2-1-1111111000-21122000000-1-111100-2020011100-1-1000-100
χ2522222-122-12-12-12-2-2-1-1-1-1222-12-12222220000000000-2-2-211-2-2-1-1-1-1-1-1-1-10002-1-1220000001111100-20-20011-100-1-1000100
χ2622222-122-12-12-12-2-2-1-1-1-1222-12-12222-2-20000000000-2-2-211-2-2-1-1-1-1-1-1-1-1000-211-2-2000000111110020200-1-110011000-100
χ2722222-122-12-12-12-2-2-1-1-1-1-2-22-12-1-2-2-2-22200000000002-2-21122-1-11111110002-1-1-2-200000011-1-1-100-2020011-10011000-100
χ2822222-122-12-12-12-2-2-1-1-1-1-2-22-12-1-2-2-2-2-2-200000000002-2-21122-1-1111111000-2112200000011-1-1-10020-200-1-1100-1-1000100
χ292222-12222-12-12-122-1-1-1-122-12-12-1-1-1-100222222-1-1-1-12-1-122-1-1-1-122-1-1-1-122200000-1-1-1-1-1-1-1-12-1-100020-1-1000-1-100000000
χ302222-12222-12-12-122-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-211112-1-122-1-1-1-122-1-1-1-1-2-2-200000111111-1-12-1-1000-20110001100000000
χ312222-12222-12-12-122-1-1-1-1-2-2-12-1211110022-2-2-2-2-1-1-1-1-2-1-12211-1-1-2-21111-2-2200000-1-11111-1-1-2110002011000-1-100000000
χ322222-12222-12-12-122-1-1-1-1-2-2-12-12111100-2-222221111-2-1-12211-1-1-2-2111122-20000011-1-1-1-1-1-1-211000-20-1-10001100000000
χ332222-12222-12-12-1-2-2-1-1-1-122-12-12-1-1-1-100222222-1-1-1-1-211-2-211-1-122-1-1-1-1-2-2200000-1-1-1-1-1-111-211000-20110001100000000
χ342222-12222-12-12-1-2-2-1-1-1-122-12-12-1-1-1-100-2-2-2-2-2-21111-211-2-211-1-122-1-1-1-122-20000011111111-21100020-1-1000-1-100000000
χ352222-12222-12-12-1-2-2-1-1-1-1-2-2-12-1211110022-2-2-2-2-1-1-1-1211-2-2-1-1-1-1-2-2111122200000-1-11111112-1-1000-20-1-10001100000000
χ362222-12222-12-12-1-2-2-1-1-1-1-2-2-12-12111100-2-222221111211-2-2-1-1-1-1-2-21111-2-2-20000011-1-1-1-1112-1-10002011000-1-100000000
χ3722-2-222002-2-22-2-20022-2-2−i2i20000−i2−i2i2i22-22i−2i22−2−22i2i−2i−2i000000000−i2i2−i2−i2i2i200002-2−i2i20022−2−2000002i−2i0000000000−i2i202−2000
χ3822-2-222002-2-22-2-20022-2-2−i2i20000−i2−i2i2i22-2−2i2i−2−222−2i−2i2i2i000000000−i2i2−i2−i2i2i200002-2−i2i200−2−22200000−2i2i0000000000−i2i20−22000
χ3922-2-222002-2-22-2-20022-2-2−i2i20000−i2−i2i2i2-222i−2i22−2−22i2i−2i−2i000000000−i2i2−i2−i2i2i20000-22i2−i20022−2−200000−2i2i0000000000i2−i20−22000
χ4022-2-222002-2-22-2-20022-2-2−i2i20000−i2−i2i2i2-22−2i2i−2−222−2i−2i2i2i000000000−i2i2−i2−i2i2i20000-22i2−i200−2−222000002i−2i0000000000i2−i202−2000
χ4122-2-222002-2-22-2-20022-2-2i2−i20000i2i2−i2−i22-22i−2i−2−2222i2i−2i−2i000000000i2−i2i2i2−i2−i200002-2i2−i200−2−222000002i−2i0000000000i2−i20−22000
χ4222-2-222002-2-22-2-20022-2-2i2−i20000i2i2−i2−i22-2−2i2i22−2−2−2i−2i2i2i000000000i2−i2i2i2−i2−i200002-2i2−i20022−2−200000−2i2i0000000000i2−i202−2000
χ4322-2-222002-2-22-2-20022-2-2i2−i20000i2i2−i2−i2-222i−2i−2−2222i2i−2i−2i000000000i2−i2i2i2−i2−i20000-22−i2i200−2−22200000−2i2i0000000000−i2i202−2000
χ4422-2-222002-2-22-2-20022-2-2i2−i20000i2i2−i2−i2-22−2i2i22−2−2−2i−2i2i2i000000000i2−i2i2i2−i2−i20000-22−i2i20022−2−2000002i−2i0000000000−i2i20−22000
χ452-2-2222-22-22-2-22-22-22-22-200-2-222000000002-22-2000002-22-2002-20000002-2000000002-22-22-2000000002-20000000000000
χ462-2-2222-22-22-2-22-22-22-22-200-2-22200000000-22-22000002-22-2002-2000000-2200000000-22-222-200000000-220000000000000
χ472-2-2222-22-22-2-22-2-222-22-200-2-222000000002-22-200000-22-22002-2000000-22000000002-22-2-2200000000-220000000000000
χ482-2-2222-22-22-2-22-2-222-22-200-2-22200000000-22-2200000-22-22002-20000002-200000000-22-22-22000000002-20000000000000
χ492-2-22-12-22-2-1-21212-2-11-11001-2-123−33−300002-22-23−33−30-112-23−3-11003−33−32-20000003−3-11-11-1103−300000-110003−300000000
χ502-2-22-12-22-2-1-21212-2-11-11001-2-123−33−30000-22-22−33−330-112-23−3-11003−33−3-22000000−331-11-1-1103−3000001-1000−3300000000
χ512-2-22-12-22-2-1-21212-2-11-11001-2-12−33−3300002-22-2−33−330-112-2−33-1100−33−332-2000000−33-11-11-110−3300000-11000−3300000000
χ522-2-22-12-22-2-1-21212-2-11-11001-2-12−33−330000-22-223−33−30-112-2−33-1100−33−33-220000003−31-11-1-110−33000001-10003−300000000
χ532-2-22-12-22-2-1-2121-22-11-11001-2-123−33−300002-22-23−33−301-1-22−33-11003−33−3-220000003−3-11-111-10−33000001-1000−3300000000
χ542-2-22-12-22-2-1-2121-22-11-11001-2-123−33−30000-22-22−33−3301-1-22−33-11003−33−32-2000000−331-11-11-10−3300000-110003−300000000
χ552-2-22-12-22-2-1-2121-22-11-11001-2-12−33−3300002-22-2−33−3301-1-223−3-1100−33−33-22000000−33-11-111-103−3000001-10003−300000000
χ562-2-22-12-22-2-1-2121-22-11-11001-2-12−33−330000-22-223−33−301-1-223−3-1100−33−332-20000003−31-11-11-103−300000-11000−3300000000
χ5744444-2-4-4-24-24-2400-2-2-2-200-42-420000440000000000000000022000000000-4-2-2000000000000000000000020000000000
χ5844444-2-4-4-24-24-2400-2-2-2-200-42-420000-4-400000000000000000220000000004220000000000000000000000-20000000000
χ594444-24-4-44-24-24-200-2-2-2-2002-42-4000000440000-2-2-2-200000002200000000-4000002200000000000000000000000000000
χ604444-24-4-44-24-24-200-2-2-2-2002-42-4000000-4-40000222200000002200000000400000-2-200000000000000000000000000000
χ614444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-20000000000004-2-2-2-2-2-211-2-211110000000000000011-21100000000000000000000
χ624444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-22222000000000000-4-2-2-2-2221122-1-1-1-100000000000000112-1-100000000000000000000
χ634444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-2000000000000-422222211-2-2111100000000000000-1-12-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2222200000000000042222-2-21122-1-1-1-100000000000000-1-1-21100000000000000000000
χ6544-4-44-200-2-4242-400-2-222−2i22i20000−2i2−2i22i22i24-40000000000000000000i2−i2i2i2−i2−i20000-22−2i22i200000000000000000000000i2−i2000000
χ6644-4-44-200-2-4242-400-2-222−2i22i20000−2i2−2i22i22i2-440000000000000000000i2−i2i2i2−i2−i200002-22i2−2i200000000000000000000000−i2i2000000
χ6744-4-44-200-2-4242-400-2-2222i2−2i200002i22i2−2i2−2i24-40000000000000000000−i2i2−i2−i2i2i20000-222i2−2i200000000000000000000000−i2i2000000
χ6844-4-44-200-2-4242-400-2-2222i2−2i200002i22i2−2i2−2i2-440000000000000000000−i2i2−i2−i2i2i200002-2−2i22i200000000000000000000000i2−i2000000
χ6944-4-4-240042-4-2-4200-2-222−2i22i20000i2i2−i2−i2004i−4i2222−22−22−2i−2i2i2i000000000−2i22i2i2i2−i2−i20000000000−2−2220000000000000000000000000
χ7044-4-4-240042-4-2-4200-2-222−2i22i20000i2i2−i2−i200−4i4i−22−2222222i2i−2i−2i000000000−2i22i2i2i2−i2−i2000000000022−2−20000000000000000000000000
χ7144-4-4-240042-4-2-4200-2-2222i2−2i20000−i2−i2i2i2004i−4i−22−222222−2i−2i2i2i0000000002i2−2i2−i2−i2i2i2000000000022−2−20000000000000000000000000
χ7244-4-4-240042-4-2-4200-2-2222i2−2i20000−i2−i2i2i200−4i4i2222−22−222i2i−2i−2i0000000002i2−2i2−i2−i2i2i20000000000−2−2220000000000000000000000000
χ734-44-44400-4-44-4-44004-4-440000000000000022−22−22220000000000000000000000000000022−22−22220000000000000000000000000
χ744-44-44400-4-44-4-44004-4-4400000000000000−222222−2200000000000000000000000000000−222222−220000000000000000000000000
χ754-44-4-2400-4242-4-200-222-2000000i6−i6−i6i6000022−22−2222−2i32i32i3−2i300000000000i6−i6−i6i60000000000−222−20000000000000000000000000
χ764-44-4-2400-4242-4-200-222-2000000i6−i6−i6i60000−222222−222i3−2i3−2i32i300000000000i6−i6−i6i600000000002−2−220000000000000000000000000
χ774-44-4-2400-4242-4-200-222-2000000−i6i6i6−i6000022−22−22222i3−2i3−2i32i300000000000−i6i6i6−i60000000000−222−20000000000000000000000000
χ784-44-4-2400-4242-4-200-222-2000000−i6i6i6−i60000−222222−22−2i32i32i3−2i300000000000−i6i6i6−i600000000002−2−220000000000000000000000000
χ794-4-44444-4-44-4-44-4004-44-40044-4-400000000000000000000000-44000000000000000000000000000000000000000000000
χ804-4-444-24-4242-4-2-400-22-22004-2-42000000000000000000000002-200000000000000000000000000000000−2i32i300000000000
χ814-4-444-24-4242-4-2-400-22-22004-2-42000000000000000000000002-2000000000000000000000000000000002i3−2i300000000000
χ824-4-444-2-44242-4-2-44-4-22-2200-424-2000000000000000004-4-2200-2200000000000000000000-2200000000000000000000000
χ834-4-444-2-44242-4-2-4-44-22-2200-424-200000000000000000-442-200-22000000000000000000002-200000000000000000000000
χ844-4-44-244-4-4-2-424200-22-2200-242-400000000000023−2323−2300000002-200000000000000−232300000000000000000000000000000
χ854-4-44-244-4-4-2-424200-22-2200-242-4000000000000−2323−232300000002-20000000000000023−2300000000000000000000000000000
χ864-4-44-2-2-442-222-224-41-11-10022-2-223−2323−230000000000000-22-2223−231-100−33−33000000000000001-10−3300000000000000000000
χ874-4-44-2-2-442-222-224-41-11-10022-2-2−2323−23230000000000000-22-22−23231-1003−33−3000000000000001-103−300000000000000000000
χ884-4-44-2-2-442-222-22-441-11-10022-2-223−2323−2300000000000002-22-2−23231-100−33−3300000000000000-1103−300000000000000000000
χ894-4-44-2-2-442-222-22-441-11-10022-2-2−2323−232300000000000002-22-223−231-1003−33−300000000000000-110−3300000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-400-444-4440022-2-2−4i24i200002i22i2−2i2−2i20000000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000
χ9288-8-8-4-400-444-4440022-2-24i2−4i20000−2i2−2i22i22i2000000000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000
χ938-88-88-4004-8-4-84800-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-40044-444-4002-2-220000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ958-88-8-4-40044-444-4002-2-22000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000
χ968-8-88-4-48-84-444-44002-22-200-4-44400000000000000000000000-22000000000000000000000000000000000000000000000

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