Finite Group Databasebeta

← Group #11885818

Character table — Group #11885818

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order12223344666666223666881212121224242424224488881212121246666121212122424242424242224666688242424246612121244244666612121224244881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1111-1-111-1-1-1-111111-1-11-1111-1-11-1-111-1-1-11-1-1
χ3111111111111111111111111111111-1-11111111111111111111111111111-1-1-111-1-1111111111-1-1-11-1-1-111-111-1-1-1-1-1-1-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11111-1-111-1-1-1-1-1-11-1-111111-1-1-1-1-1-111-1-1-11111-111-1-1111-1-11-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-11-1-111111-1-1-1-1-111-11-1
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-11111-1-111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-11111-11111-1
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-111-1-11-1-111-1-1-1111-1-11-11
χ911111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-1
χ1011111111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111111-1-1-1-111
χ1111111111111111-1-111111111111111-1-11111111111-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1111
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1
χ1311111111111111-1-11111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111-1-11-1-1111-1-1-1-11-1-111-1
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
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111-111-1-1-111111-1-1-11-1
χ17222222-2-222222200222200-2-2-2-200002222000022220000000-2-2000000-200-222-2-200000000000220000000-20000-200000
χ18222222-2-222222200222200-2-2-2-2000022-2-20000-2-2-2-20000000-2-2000000200-2222200000000000-2-20000000-20000200000
χ19222222-2-222222200222200-2-2-2-20000-2-222000022220000000-2-2000000-2002-2-2-2-200000000000-2-2000000020000200000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-20000002002-2-2220000000000022000000020000-200000
χ2122222-12222-1-1-1222-1-1-1-1222-1-122222220000000000222-1-122-1-1-1-1-1-1-1-10002-1-100220000-1-1-1-1-100202-1-100-100-1-1000-100
χ2222222-12222-1-1-1222-1-1-1-1222-1-122222-2-20000000000222-1-122-1-1-1-1-1-1-1-1000-21100-2-20000-1-1-1-1-100-20-2110010011000100
χ2322222-12222-1-1-1222-1-1-1-1-2-22-1-12-2-2-2-2220000000000-222-1-1-2-2-1-11111110002-1-100-2-20000-1-11110020-2-1-100-10011000100
χ2422222-12222-1-1-1222-1-1-1-1-2-22-1-12-2-2-2-2-2-20000000000-222-1-1-2-2-1-1111111000-21100220000-1-111100-2021100100-1-1000-100
χ2522222-12222-1-1-12-2-2-1-1-1-1222-1-122222220000000000-2-2-211-2-2-1-1-1-1-1-1-1-10002-1-1002200001111100-20-21100-100-1-1000100
χ2622222-12222-1-1-12-2-2-1-1-1-1222-1-122222-2-20000000000-2-2-211-2-2-1-1-1-1-1-1-1-1000-21100-2-200001111100202-1-10010011000-100
χ2722222-12222-1-1-12-2-2-1-1-1-1-2-22-1-12-2-2-2-22200000000002-2-21122-1-11111110002-1-100-2-2000011-1-1-100-2021100-10011000-100
χ2822222-12222-1-1-12-2-2-1-1-1-1-2-22-1-12-2-2-2-2-2-200000000002-2-21122-1-1111111000-2110022000011-1-1-10020-2-1-100100-1-1000100
χ292222-1222-1-1222-122-1-1-1-122-122-1-1-1-1-100222222-1-1-1-12-1-122-1-1-1-122-1-1-1-1222000-1-100-1-1-1-1-1-12-1-10002000-1-10-1-100000000
χ302222-1222-1-1222-122-1-1-1-122-122-1-1-1-1-100-2-2-2-2-2-211112-1-122-1-1-1-122-1-1-1-1-2-2-200011001111-1-12-1-1000-20001101100000000
χ312222-1222-1-1222-122-1-1-1-1-2-2-122-111110022-2-2-2-2-1-1-1-1-2-1-12211-1-1-2-211112-2-2000-1-1001111-1-1-2110002000110-1-100000000
χ322222-1222-1-1222-122-1-1-1-1-2-2-122-1111100-2-222221111-2-1-12211-1-1-2-21111-2220001100-1-1-1-1-1-1-211000-2000-1-101100000000
χ332222-1222-1-1222-1-2-2-1-1-1-122-122-1-1-1-1-100222222-1-1-1-1-211-2-211-1-122-1-1-1-12-2-2000-1-100-1-1-1-111-211000-20001101100000000
χ342222-1222-1-1222-1-2-2-1-1-1-122-122-1-1-1-1-100-2-2-2-2-2-21111-211-2-211-1-122-1-1-1-1-2220001100111111-2110002000-1-10-1-100000000
χ352222-1222-1-1222-1-2-2-1-1-1-1-2-2-122-111110022-2-2-2-2-1-1-1-1211-2-2-1-1-1-1-2-21111222000-1-1001111112-1-1000-2000-1-101100000000
χ362222-1222-1-1222-1-2-2-1-1-1-1-2-2-122-1111100-2-222221111211-2-2-1-1-1-1-2-21111-2-2-20001100-1-1-1-1112-1-10002000110-1-100000000
χ3722-2-222002-22-2-2-20022-2-2−i2i20000−i2−i2i2i22-22i−2i22−2−22i2i−2i−2i000000000−i2i2−i2−i2i2i200002-200−i2i222−2−2000002i−2i0000000000−i2i202−2000
χ3822-2-222002-22-2-2-20022-2-2−i2i20000−i2−i2i2i22-2−2i2i−2−222−2i−2i2i2i000000000−i2i2−i2−i2i2i200002-200−i2i2−2−22200000−2i2i0000000000−i2i20−22000
χ3922-2-222002-22-2-2-20022-2-2−i2i20000−i2−i2i2i2-222i−2i22−2−22i2i−2i−2i000000000−i2i2−i2−i2i2i20000-2200i2−i222−2−200000−2i2i0000000000i2−i20−22000
χ4022-2-222002-22-2-2-20022-2-2−i2i20000−i2−i2i2i2-22−2i2i−2−222−2i−2i2i2i000000000−i2i2−i2−i2i2i20000-2200i2−i2−2−222000002i−2i0000000000i2−i202−2000
χ4122-2-222002-22-2-2-20022-2-2i2−i20000i2i2−i2−i22-22i−2i−2−2222i2i−2i−2i000000000i2−i2i2i2−i2−i200002-200i2−i2−2−222000002i−2i0000000000i2−i20−22000
χ4222-2-222002-22-2-2-20022-2-2i2−i20000i2i2−i2−i22-2−2i2i22−2−2−2i−2i2i2i000000000i2−i2i2i2−i2−i200002-200i2−i222−2−200000−2i2i0000000000i2−i202−2000
χ4322-2-222002-22-2-2-20022-2-2i2−i20000i2i2−i2−i2-222i−2i−2−2222i2i−2i−2i000000000i2−i2i2i2−i2−i20000-2200−i2i2−2−22200000−2i2i0000000000−i2i202−2000
χ4422-2-222002-22-2-2-20022-2-2i2−i20000i2i2−i2−i2-22−2i2i22−2−2−2i−2i2i2i000000000i2−i2i2i2−i2−i20000-2200−i2i222−2−2000002i−2i0000000000−i2i20−22000
χ452-22-222-22-2-2-22-222-22-2-2200-22-22000000002-22-2000002-22-200-2200000002-200000002-22-22-200000000002-200000000000
χ462-22-222-22-2-2-22-222-22-2-2200-22-2200000000-22-22000002-22-200-220000000-220000000-22-222-20000000000-2200000000000
χ472-22-222-22-2-2-22-22-222-2-2200-22-22000000002-22-200000-22-2200-220000000-2200000002-22-2-220000000000-2200000000000
χ482-22-222-22-2-2-22-22-222-2-2200-22-2200000000-22-2200000-22-2200-2200000002-20000000-22-22-2200000000002-200000000000
χ492-22-2-12-2211-22-2-12-2-111-10012-2-1−i3i3−i3i300002-22-2−i3i3−i3i30-112-2−i3i31-100−i3i3−i3i302-2000−i3i300-11-11-110−i3i30000000-110−i3i300000000
χ502-22-2-12-2211-22-2-12-2-111-10012-2-1−i3i3−i3i30000-22-22i3−i3i3−i30-112-2−i3i31-100−i3i3−i3i30-22000i3−i3001-11-1-110−i3i300000001-10i3−i300000000
χ512-22-2-12-2211-22-2-12-2-111-10012-2-1i3−i3i3−i300002-22-2i3−i3i3−i30-112-2i3−i31-100i3−i3i3−i302-2000i3−i300-11-11-110i3−i30000000-110i3−i300000000
χ522-22-2-12-2211-22-2-12-2-111-10012-2-1i3−i3i3−i30000-22-22−i3i3−i3i30-112-2i3−i31-100i3−i3i3−i30-22000−i3i3001-11-1-110i3−i300000001-10−i3i300000000
χ532-22-2-12-2211-22-2-1-22-111-10012-2-1−i3i3−i3i300002-22-2−i3i3−i3i301-1-22i3−i31-100−i3i3−i3i30-22000−i3i300-11-111-10i3−i300000001-10i3−i300000000
χ542-22-2-12-2211-22-2-1-22-111-10012-2-1−i3i3−i3i30000-22-22i3−i3i3−i301-1-22i3−i31-100−i3i3−i3i302-2000i3−i3001-11-11-10i3−i30000000-110−i3i300000000
χ552-22-2-12-2211-22-2-1-22-111-10012-2-1i3−i3i3−i300002-22-2i3−i3i3−i301-1-22−i3i31-100i3−i3i3−i30-22000i3−i300-11-111-10−i3i300000001-10−i3i300000000
χ562-22-2-12-2211-22-2-1-22-111-10012-2-1i3−i3i3−i30000-22-22−i3i3−i3i301-1-22−i3i31-100i3−i3i3−i302-2000−i3i3001-11-11-10−i3i30000000-110i3−i300000000
χ5744444-2-4-444-2-2-2400-2-2-2-200-422-40000440000000000000000022000000000-4-2-2000000000000000000000020000000000
χ5844444-2-4-444-2-2-2400-2-2-2-200-422-40000-4-400000000000000000220000000004220000000000000000000000-20000000000
χ594444-24-4-4-2-2444-200-2-2-2-2002-4-42000000440000-2-2-2-2000000022000000-400000220000000000000000000000000000000
χ604444-24-4-4-2-2444-200-2-2-2-2002-4-42000000-4-400002222000000022000000400000-2-20000000000000000000000000000000
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
χ6544-4-44-2004-4-222-400-2-222−2i22i20000−2i2−2i22i22i24-40000000000000000000i2−i2i2i2−i2−i20000-2200−2i22i2000000000000000000000i2−i2000000
χ6644-4-44-2004-4-222-400-2-222−2i22i20000−2i2−2i22i22i2-440000000000000000000i2−i2i2i2−i2−i200002-2002i2−2i2000000000000000000000−i2i2000000
χ6744-4-44-2004-4-222-400-2-2222i2−2i200002i22i2−2i2−2i24-40000000000000000000−i2i2−i2−i2i2i20000-22002i2−2i2000000000000000000000−i2i2000000
χ6844-4-44-2004-4-222-400-2-2222i2−2i200002i22i2−2i2−2i2-440000000000000000000−i2i2−i2−i2i2i200002-200−2i22i2000000000000000000000i2−i2000000
χ6944-4-4-2400-224-4-4200-2-222−2i22i20000i2i2−i2−i2004i−4i2222−22−22−2i−2i2i2i000000000−2i22i2i2i2−i2−i20000000000−2−2220000000000000000000000000
χ7044-4-4-2400-224-4-4200-2-222−2i22i20000i2i2−i2−i200−4i4i−22−2222222i2i−2i−2i000000000−2i22i2i2i2−i2−i2000000000022−2−20000000000000000000000000
χ7144-4-4-2400-224-4-4200-2-2222i2−2i20000−i2−i2i2i2004i−4i−22−222222−2i−2i2i2i0000000002i2−2i2−i2−i2i2i2000000000022−2−20000000000000000000000000
χ7244-4-4-2400-224-4-4200-2-2222i2−2i20000−i2−i2i2i200−4i4i2222−22−222i2i−2i−2i0000000002i2−2i2−i2−i2i2i20000000000−2−2220000000000000000000000000
χ734-44-4444-4-4-4-44-44004-4-44004-44-4000000000000000000000004-4000000000000000000000000000000000000000000000
χ744-44-44-24-4-4-42-22400-222-20042-2-400000000000000000000000-22000000000000000000000000000000−2i32i30000000000000
χ754-44-44-24-4-4-42-22400-222-20042-2-400000000000000000000000-220000000000000000000000000000002i3−2i30000000000000
χ764-44-44-2-44-4-42-2244-4-222-200-4-224000000000000000004-4-22002-200000000000000000000-2200000000000000000000000
χ774-44-44-2-44-4-42-224-44-222-200-4-22400000000000000000-442-2002-2000000000000000000002-200000000000000000000000
χ784-44-4-244-422-44-4-200-222-200-2-442000000000000−2i32i3−2i32i30000000-220000000000002i3−2i30000000000000000000000000000000
χ794-44-4-244-422-44-4-200-222-200-2-4420000000000002i3−2i32i3−2i30000000-22000000000000−2i32i30000000000000000000000000000000
χ804-44-4-2-2-44222-22-24-41-1-11002-22-2−2i32i3−2i32i30000000000000-22-22−2i32i3-1100i3−i3i3−i3000000000000001-10i3−i300000000000000000000
χ814-44-4-2-2-44222-22-24-41-1-11002-22-22i3−2i32i3−2i30000000000000-22-222i3−2i3-1100−i3i3−i3i3000000000000001-10−i3i300000000000000000000
χ824-44-4-2-2-44222-22-2-441-1-11002-22-2−2i32i3−2i32i300000000000002-22-22i3−2i3-1100i3−i3i3−i300000000000000-110−i3i300000000000000000000
χ834-44-4-2-2-44222-22-2-441-1-11002-22-22i3−2i32i3−2i300000000000002-22-2−2i32i3-1100−i3i3−i3i300000000000000-110i3−i300000000000000000000
χ844-4-444400-44-4-44-4004-44-40000000000000022−22−22220000000000000000000000000000022−22−22220000000000000000000000000
χ854-4-444400-44-4-44-4004-44-400000000000000−222222−2200000000000000000000000000000−222222−220000000000000000000000000
χ864-4-44-24002-2-4-44200-22-220000006−6−66000022−22−2222−232323−23000000000006−6−660000000000−222−20000000000000000000000000
χ874-4-44-24002-2-4-44200-22-220000006−6−660000−222222−2223−23−2323000000000006−6−6600000000002−2−220000000000000000000000000
χ884-4-44-24002-2-4-44200-22-22000000−666−6000022−22−222223−23−232300000000000−666−60000000000−222−20000000000000000000000000
χ894-4-44-24002-2-4-44200-22-22000000−666−60000−222222−22−232323−2300000000000−666−600000000002−2−220000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-400-44-44440022-2-2−4i24i200002i22i2−2i2−2i20000000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000
χ9288-8-8-4-400-44-44440022-2-24i2−4i20000−2i2−2i22i22i2000000000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000
χ938-88-8-4-48-8444-44-4002-2-2200-44-44000000000000000000000002-2000000000000000000000000000000000000000000000
χ948-8-888-400-8844-4-800-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-4004-444-44002-22-200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ968-8-88-4-4004-444-44002-22-2000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000

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