Finite Group Databasebeta

← Group #11897549

Character table — Group #11897549

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222244444444444444444444444444668888888888888888888812121212121212121212122424242424242424242424242424242424243636727272
order1222334466666622344666666612121212121212121212121212124446666661212121212121212121212121222444881212121244466812121212121212122424242488448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-11111111111111111111111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ511111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-111-1-1-1-1-1-1111-1-11111-1-1-11-111-1-1-111-11-1-111-1-1111-1-1
χ611111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-11111-1111111-1-1-1-1-111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-111-1-111111-11-1-1-1-111-1-1-111
χ711111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-111-1-1-1-1-1-111-11111-1-1111-1-111-1-1-1-1-11-11111-1-1-1-1-111
χ811111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1111-11-1-1111-1-11-111-1-111111-1-1
χ911111111111111-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111111-1-11111-1-1111-111-1-111-1-1-1-1-1-1-1-111-1
χ1011111111111111-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111111111-1-1-1-1-11-1-1-1-111-1-1111111-1-11
χ1111111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-111111-11111-1-111-1-1-1-111-1-11
χ1211111111111111-1-1111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-1-111-1-1111111-1-111-1
χ1311111111111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-11111-1-11111111-1-1-1-111-1-11-1-1111-1-1-1-1-1111-1-111-1-11-11
χ1411111111111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-11111-1-11111-1-11-1-11111-1-11-11-1-1-111-1-1-111111-1-111-11-1
χ1511111111111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-111-11111-1-1111111-111-1-1-1-111-11-1111-1-1111-1-1-1-1-11111-11-1
χ1611111111111111-1-11-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-1-1-1-111-11111-1-11111-1-1-11111-1-111-111-1-1-111111-1-1-111-1-1-1-11-11
χ17222222-2-22222220022-20000222-2-222-2-2222222-2-222000000000-200-2-2-2-2000000-22-20022220000000000-2-200000000000
χ18222222-2-22222220022-20000222-2-222-2-2222222-2-2-2-2000000000-200-2-2-2-20000002-2200-2-2-2-200000000002200000000000
χ19222222-2-2222222002-220000222-2-2-2-222-2-2-2-2-2-2-2-222000000000200-2-222000000-2-220022-2-200000000002-200000000000
χ20222222-2-2222222002-220000222-2-2-2-222-2-2-2-2-2-2-2-2-2-2000000000200-2-22200000022-200-2-2220000000000-2200000000000
χ2122222-1222-1-1-12222-1222222-1-1-122-1-1-1-122-1-1-1-1-1-1002-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122000220000002-1-12-1-1000000-1-1-1-100000
χ2222222-1222-1-1-12222-1222222-1-1-122-1-1-1-122-1-1-1-1-1-1002-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2000-2-2000000-211-211000000111100000
χ2322222-1222-1-1-12222-1-2-22222-1-1-1221111-2-21111-1-100-2-1-1-1-1-1-111-2-2-2-1-11111112200022000000-2-1-1-211000000-1-11100000
χ2422222-1222-1-1-12222-1-2-22222-1-1-1221111-2-21111-1-100-2-1-1-1-1-1-111-2-2-2-1-1111111-2-2000-2-20000002112-1-100000011-1-100000
χ2522222-1222-1-1-122-2-2-122-2-2-2-2-1-1-122-1-1-1-122-1-1-1-1-1-100-2111111112-2-2-1-1-1-1111122000-2-20000002-1-1-2-1-1000000111100000
χ2622222-1222-1-1-122-2-2-122-2-2-2-2-1-1-122-1-1-1-122-1-1-1-1-1-100-2111111112-2-2-1-1-1-11111-2-200022000000-211211000000-1-1-1-100000
χ2722222-1222-1-1-122-2-2-1-2-2-2-2-2-2-1-1-1221111-2-21111-1-1002111111-1-1-222-1-111-1-1-1-122000-2-2000000-2-1-121100000011-1-100000
χ2822222-1222-1-1-122-2-2-1-2-2-2-2-2-2-1-1-1221111-2-21111-1-1002111111-1-1-222-1-111-1-1-1-1-2-200022000000211-2-1-1000000-1-11100000
χ292222-1222-1222-1-122-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-10022200-1-1-1-122000000-1-1-1-1-1-1000000000
χ302222-1222-1222-1-122-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-100-2-2-2001111-2-2000000111111000000000
χ312222-1222-1222-1-122-1-2-2-1-1-1-1-1-1-1-1-1-2-2-2-21111112222-222-1-1-1-1-2-2111-1-1111111002-2-200-1-111-22000000-1-11-111000000000
χ322222-1222-1222-1-122-1-2-2-1-1-1-1-1-1-1-1-1-2-2-2-211111122-2-2-222-1-1-1-1-2-2111-1-111111100-2220011-1-12-200000011-11-1-1000000000
χ332222-1222-1222-1-1-2-2-1221111-1-1-1-1-12222-1-1-1-1-1-12222-2-2-21111-2-2-111-1-1-1-111110022200-1-1-1-1-2-200000011-1-111000000000
χ342222-1222-1222-1-1-2-2-1221111-1-1-1-1-12222-1-1-1-1-1-122-2-2-2-2-21111-2-2-111-1-1-1-1111100-2-2-200111122000000-1-111-1-1000000000
χ352222-1222-1222-1-1-2-2-1-2-21111-1-1-1-1-1-2-2-2-211111122222-2-21111221-1-1-1-111-1-1-1-1002-2-200-1-1112-2000000111-1-1-1000000000
χ362222-1222-1222-1-1-2-2-1-2-21111-1-1-1-1-1-2-2-2-211111122-2-22-2-21111221-1-1-1-111-1-1-1-100-2220011-1-1-22000000-1-1-1111000000000
χ372222-12-2-2-1222-1-100-12-2−i3−i3i3i3-1-1-11122-2-2-1-1-1-1-1-1-2-222000−i3−i3i3i3001−i3i31111−i3−i3i3i300-22-200-1-1-1-100000000−i3i311−i3i3000000000
χ382222-12-2-2-1222-1-100-12-2−i3−i3i3i3-1-1-11122-2-2-1-1-1-1-1-1-2-2-2-2000−i3−i3i3i3001−i3i31111−i3−i3i3i3002-2200111100000000i3−i3-1-1i3−i3000000000
χ392222-12-2-2-1222-1-100-12-2i3i3−i3−i3-1-1-11122-2-2-1-1-1-1-1-1-2-222000i3i3−i3−i3001i3−i31111i3i3−i3−i300-22-200-1-1-1-100000000i3−i311i3−i3000000000
χ402222-12-2-2-1222-1-100-12-2i3i3−i3−i3-1-1-11122-2-2-1-1-1-1-1-1-2-2-2-2000i3i3−i3−i3001i3−i31111i3i3−i3−i3002-2200111100000000−i3i3-1-1−i3i3000000000
χ412222-12-2-2-1222-1-100-1-22−i3−i3i3i3-1-1-111-2-222111111-2-222000−i3−i3i3i300-1i3−i311-1-1i3i3−i3−i300-2-2200-1-11100000000−i3i3-11i3−i3000000000
χ422222-12-2-2-1222-1-100-1-22−i3−i3i3i3-1-1-111-2-222111111-2-2-2-2000−i3−i3i3i300-1i3−i311-1-1i3i3−i3−i30022-20011-1-100000000i3−i31-1−i3i3000000000
χ432222-12-2-2-1222-1-100-1-22i3i3−i3−i3-1-1-111-2-222111111-2-222000i3i3−i3−i300-1−i3i311-1-1−i3−i3i3i300-2-2200-1-11100000000i3−i3-11−i3i3000000000
χ442222-12-2-2-1222-1-100-1-22i3i3−i3−i3-1-1-111-2-222111111-2-2-2-2000i3i3−i3−i300-1−i3i311-1-1−i3−i3i3i30022-20011-1-100000000−i3i31-1i3−i3000000000
χ4522-2-2222-222-2-2-2-22-22002-22-22-2-22-200000000002-20002-22-22-2000002-20000002-20002-200000002-20000000002-20000000
χ4622-2-2222-222-2-2-2-22-22002-22-22-2-22-200000000002-20002-22-22-2000002-2000000-22000-220000000-22000000000-220000000
χ4722-2-2222-222-2-2-2-2-22200-22-222-2-22-200000000002-2000-22-22-22000002-20000002-2000-2200000002-2000000000-220000000
χ4822-2-2222-222-2-2-2-2-22200-22-222-2-22-200000000002-2000-22-22-22000002-2000000-220002-20000000-220000000002-20000000
χ4922-2-22-12-22-111-2-22-2-1002-22-2-1112-23−33−30033−3−3-11000-11-11-113−3000-113−33−33−32-20002-20000000-1103−3000000-113−300000
χ5022-2-22-12-22-111-2-22-2-1002-22-2-1112-23−33−30033−3−3-11000-11-11-113−3000-113−33−33−3-22000-2200000001-10−330000001-1−3300000
χ5122-2-22-12-22-111-2-22-2-1002-22-2-1112-2−33−3300−3−333-11000-11-11-11−33000-11−33−33−332-20002-20000000-110−33000000-11−3300000
χ5222-2-22-12-22-111-2-22-2-1002-22-2-1112-2−33−3300−3−333-11000-11-11-11−33000-11−33−33−33-22000-2200000001-103−30000001-13−300000
χ5322-2-22-12-22-111-2-2-22-100-22-22-1112-23−33−30033−3−3-110001-11-11-1−33000-113−3−33−332-2000-220000000-1103−30000001-1−3300000
χ5422-2-22-12-22-111-2-2-22-100-22-22-1112-23−33−30033−3−3-110001-11-11-1−33000-113−3−33−33-220002-200000001-10−33000000-113−300000
χ5522-2-22-12-22-111-2-2-22-100-22-22-1112-2−33−3300−3−333-110001-11-11-13−3000-11−333−33−32-2000-220000000-110−330000001-13−300000
χ5622-2-22-12-22-111-2-2-22-100-22-22-1112-2−33−3300−3−333-110001-11-11-13−3000-11−333−33−3-220002-200000001-103−3000000-11−3300000
χ5744444-2-4-44-2-2-24400-24-40000-2-2-2-4-4-2-22244-2-2-2-22200000000000-400222200000000000000000000000000000000000000
χ5844444-2-4-44-2-2-24400-2-440000-2-2-2-4-422-2-2-4-42222220000000000040022-2-200000000000000000000000000000000000000
χ594444-2-244-2-2-2-2-2-244144-2-2-2-2111-2-2-2-2-2-2-2-21111-2-2004-2-21111-2-2-2-2-2111111110000000000000000000000000000000000
χ604444-2-244-2-2-2-2-2-2441-4-4-2-2-2-2111-2-2222222-1-1-1-1-2-200-4-2-211112222211-1-1-1-1-1-10000000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-2-4-41442222111-2-2-2-2-2-2-2-21111-2-200-422-1-1-1-122-2221111-1-1-1-10000000000000000000000000000000000
χ624444-2-244-2-2-2-2-2-2-4-41-4-42222111-2-2222222-1-1-1-1-2-200422-1-1-1-1-2-22-2-211-1-111110000000000000000000000000000000000
χ634444-2-2-4-4-2-2-2-2-2-20014-4−2i3−2i32i32i311122-2-222-2-211112200000i3i3−i3−i3002−2i32i3-1-1-1-1i3i3−i3−i30000000000000000000000000000000000
χ644444-2-2-4-4-2-2-2-2-2-20014-42i32i3−2i3−2i311122-2-222-2-211112200000−i3−i3i3i30022i3−2i3-1-1-1-1−i3−i3i3i30000000000000000000000000000000000
χ654444-2-2-4-4-2-2-2-2-2-2001-44−2i3−2i32i32i31112222-2-222-1-1-1-12200000i3i3−i3−i300-22i3−2i3-1-111−i3−i3i3i30000000000000000000000000000000000
χ664444-2-2-4-4-2-2-2-2-2-2001-442i32i3−2i3−2i31112222-2-222-1-1-1-12200000−i3−i3i3i300-2−2i32i3-1-111i3i3−i3−i30000000000000000000000000000000000
χ6744-4-444-4444-4-4-4-40040000004-4-4-440000000000-4400000000000000-440000000000000000000000000000000000000000
χ6844-4-44-2-444-222-4-400-2000000-222-4423−23−2323002323−23−232-2000000000000002-2−232300000000000000000000000000000000000000
χ6944-4-44-2-444-222-4-400-2000000-222-44−232323−2300−23−2323232-2000000000000002-223−2300000000000000000000000000000000000000
χ7044-4-4-244-4-24-4-4224-4-200-22-22-222-2200000000004-40004-4-22-2200000-220000000000000000000000000000000000000000
χ7144-4-4-244-4-24-4-422-44-2002-22-2-222-2200000000004-4000-442-22-200000-220000000000000000000000000000000000000000
χ7244-4-4-24-44-24-4-42200-200−2i32i32i3−2i3-2222-20000000000-4400000−2i32i32i3−2i3000002-20000000000000000000000000000000000000000
χ7344-4-4-24-44-24-4-42200-2002i3−2i3−2i32i3-2222-20000000000-44000002i3−2i3−2i32i3000002-20000000000000000000000000000000000000000
χ7444-4-4-2-24-4-2-222224-4100-22-221-1-1-2223−2323−2300−3−333-22000-221-11-123−230001-1−33−33−330000000000000000000000000000000000
χ7544-4-4-2-24-4-2-222224-4100-22-221-1-1-22−2323−23230033−3−3-22000-221-11-1−23230001-13−33−33−30000000000000000000000000000000000
χ7644-4-4-2-24-4-2-22222-441002-22-21-1-1-2223−2323−2300−3−333-220002-2-11-11−23230001-1−333−33−30000000000000000000000000000000000
χ7744-4-4-2-24-4-2-22222-441002-22-21-1-1-22−2323−23230033−3−3-220002-2-11-1123−230001-13−3−33−330000000000000000000000000000000000
χ7844-4-4-2-2-44-2-2222200100−2i32i32i3−2i31-1-12-223−23−232300−3−3332-200000i3−i3−i3i300000-113−3−3i3i3i−3i0000000000000000000000000000000000
χ7944-4-4-2-2-44-2-2222200100−2i32i32i3−2i31-1-12-2−232323−230033−3−32-200000i3−i3−i3i300000-11−333i−3i−3i3i0000000000000000000000000000000000
χ8044-4-4-2-2-44-2-22222001002i3−2i3−2i32i31-1-12-223−23−232300−3−3332-200000−i3i3i3−i300000-113−33i−3i−3i3i0000000000000000000000000000000000
χ8144-4-4-2-2-44-2-22222001002i3−2i3−2i32i31-1-12-2−232323−230033−3−32-200000−i3i3i3−i300000-11−33−3i3i3i−3i0000000000000000000000000000000000
χ824-44-44400-4-44-4-44004000000-4-4400000000000000000000000000000000000000000000000000000000000000000−2i22i2000
χ834-44-44400-4-44-4-44004000000-4-44000000000000000000000000000000000000000000000000000000000000000002i2−2i2000
χ844-4-444400-4-4-444-4004000000-44-4000000000000004-40000000000000000000000000004-40000000000000000000000000
χ854-4-444400-4-4-444-4004000000-44-400000000000000-44000000000000000000000000000-440000000000000000000000000
χ864-4-44-24002-4-44-2200-20000002-2200000023−2323−2323−23004-4000000000000000000000000000-2223−2300000000000000000000000
χ874-4-44-24002-4-44-2200-20000002-2200000023−2323−2323−2300-440000000000000000000000000002-2−232300000000000000000000000
χ884-4-44-24002-4-44-2200-20000002-22000000−2323−2323−2323004-4000000000000000000000000000-22−232300000000000000000000000
χ894-4-44-24002-4-44-2200-20000002-22000000−2323−2323−232300-440000000000000000000000000002-223−2300000000000000000000000
χ908-88-88-400-84-44-8800-400000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-8-48004-88-84-400-400000044-40000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8-4-40044-444-4002000000-2-22000000006-6-660000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40044-444-4002000000-2-2200000000-666-60000000000000000000000000000000000000000000000000000000000
χ948-8-888-400-844-48-800-40000004-440000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400444-4-44002000000-22-200000043−43−2323−23230000000000000000000000000000000000000000000000000000000000
χ968-8-88-4-400444-4-44002000000-22-2000000−434323−2323−230000000000000000000000000000000000000000000000000000000000

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