Finite Group Databasebeta

← Group #11897649

Character table — Group #11897649

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size111122222222224444444444444444666666888888888888888121212121212121212121212121212161616161624242424242424242424242424363648727272
order1222334466666622366688121212122424242444121212124666612121212242424242424444448812121212242424246612121244481212121212121224244412448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-11-11111-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-11-11-1-1-1-111-1-1-1-111111-11111-1-1-1-11111-1-11-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1111
χ511111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-1-1-1111-1-11111-1-1-1-111-1-1-111-1-11-1-11111-1-111-11-1-1
χ611111111111111111111-1-11111-1-1-1-1111111-11111-1-111-1-1-1-1-1-1-1-1-11-1-1-111-1-1-1-1-1-111-1-1-11-111-1-1-111-1-111-1-11-111
χ711111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111-1111-1-111111111-1-1-1-11-1-1111-1-111-1-1-1-1-1-111
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-1-111-1-1-1-1111111-1-1-1-1-111-111-1-1-1-1111111-1-1
χ911111111111111-1-111111111111111111111-1-1-1-1-1-1-111111111-1-11111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-11
χ1011111111111111-1-111111111111111111111-1-1-1-1-1-1-111111111-1-1-11-11111-1-11111-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111-1
χ1111111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-1-111-1-1-1-1-1-1-1-1-11-1-1111111-1-111-1-1-111-1
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1111111-1-1111-1-11
χ1311111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1111-1-11-1111-1-1-1-1-1-1111-11-1
χ1411111111111111-1-11111-1-11111-1-1-1-11111111-1-1-1-11111-1-1-1-1-1-111-11-1-1-111-1-1-1-1-1-1-1-1111-11-11-111-1-11111-1-1-11-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-11-1111-1-1111111-1-11111-11-11-1-111-1-1-1-1-1-111-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-11-1-1-111111111-1-11-1
χ17222222-2-222222200222200-2-2-2-200002222220000000-2-2000000002-2-200-2-2-2-200000000000002000000002-20000
χ18222222-2-222222200222200-2-2-2-200002222220000000-2-200000000-2-2200-2-2220000000000000-200000000-220000
χ19222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-20000000022-20022-2-20000000000000200000000-220000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-20000000-2-200000000-2220022220000000000000-2000000002-20000
χ2122222-12222-1-1-1222-1-1-1-1222-1-12-1-1-1-122-1-1-1-1222-1-1-1-1-1-122-1-1-1-12202022-1-100-1-1-1-1-1-12-1-120000-1-1-1-10000000000
χ2222222-12222-1-1-1222-1-1-1-1222-1-12-1-1-1-1-2-21111222-1-1-1-1-1-122-1-1-1-1-2-20-20-2-211001111-1-12-1-1-2000011110000000000
χ2322222-12222-1-1-1222-1-1-1-1-2-22-1-12111122-1-1-1-1-222-1-111-1-1-2-21111-2-2020-2-2-1-1001111-1-1-2112000011-1-10000000000
χ2422222-12222-1-1-1222-1-1-1-1-2-22-1-121111-2-21111-222-1-111-1-1-2-21111220-20221100-1-1-1-1-1-1-211-20000-1-1110000000000
χ2522222-12222-1-1-12-2-2-1-1-1-1222-1-12-1-1-1-122-1-1-1-1-2-2-21111-1-122-1-1-1-1-2-202022-1-100-1-1-1-111-211-2000011110000000000
χ2622222-12222-1-1-12-2-2-1-1-1-1222-1-12-1-1-1-1-2-21111-2-2-21111-1-122-1-1-1-1220-20-2-21100111111-21120000-1-1-1-10000000000
χ2722222-12222-1-1-12-2-2-1-1-1-1-2-22-1-12111122-1-1-1-12-2-211-1-1-1-1-2-2111122020-2-2-1-1001111112-1-1-20000-1-1110000000000
χ2822222-12222-1-1-12-2-2-1-1-1-1-2-22-1-121111-2-211112-2-211-1-1-1-1-2-21111-2-20-20221100-1-1-1-1112-1-12000011-1-10000000000
χ292222-1222-1-1222-122-1-1-1-122-122-122220000002-1-12222-1-1-1-1-1-1-1-1002020000-1-10000-1-1-1-1-10222-10000-1-1-1-100-1000
χ302222-1222-1-1222-122-1-1-1-122-122-122220000002-1-12222-1-1-1-1-1-1-1-100-20-20000110000-1-1-1-1-10-2-2-2100001111001000
χ312222-1222-1-1222-122-1-1-1-1-2-2-122-1-2-2-2-2000000-2-1-122-2-2-1-1111111002020000-1-10000-1-111102-2-2-10000-1-111001000
χ322222-1222-1-1222-122-1-1-1-1-2-2-122-1-2-2-2-2000000-2-1-122-2-2-1-111111100-20-20000110000-1-11110-2221000011-1-100-1000
χ332222-1222-1-1222-1-2-2-1-1-1-122-122-12222000000-211-2-2-2-2-1-1-1-1-1-1-1-1002020000-1-10000111110-2-22-1000011-1-1001000
χ342222-1222-1-1222-1-2-2-1-1-1-122-122-12222000000-211-2-2-2-2-1-1-1-1-1-1-1-100-20-2000011000011111022-210000-1-11100-1000
χ352222-1222-1-1222-1-2-2-1-1-1-1-2-2-122-1-2-2-2-2000000211-2-222-1-1111111002020000-1-1000011-1-1-10-22-2-10000111100-1000
χ362222-1222-1-1222-1-2-2-1-1-1-1-2-2-122-1-2-2-2-2000000211-2-222-1-111111100-20-2000011000011-1-1-102-2210000-1-1-1-1001000
χ3722-2-2222-22-2-22-2-22-22-22-2002-22-2000000000002-22-2002-20000002-20002-2000022-2-22-2000000002-2000000000000
χ3822-2-2222-22-2-22-2-22-22-22-2002-22-2000000000002-22-2002-2000000-22000-220000-2-2222-200000000-22000000000000
χ3922-2-2222-22-2-22-2-2-222-22-2002-22-200000000000-22-22002-20000002-2000-220000-2-222-22000000002-2000000000000
χ4022-2-2222-22-2-22-2-2-222-22-2002-22-200000000000-22-22002-2000000-220002-2000022-2-2-2200000000-22000000000000
χ4122-2-22-12-22-21-11-22-2-11-110021-1-233−3−30033−3−302-2-113−3-110033−3−32-20002-23−300-1-111-1103−300000-113−30000000000
χ4222-2-22-12-22-21-11-22-2-11-110021-1-233−3−300−3−33302-2-113−3-110033−3−3-22000-22−330011-1-1-1103−3000001-1−330000000000
χ4322-2-22-12-22-21-11-22-2-11-110021-1-2−3−3330033−3−302-2-11−33-1100−3−333-22000-223−30011-1-1-110−33000001-13−30000000000
χ4422-2-22-12-22-21-11-22-2-11-110021-1-2−3−33300−3−33302-2-11−33-1100−3−3332-20002-2−3300-1-111-110−3300000-11−330000000000
χ4522-2-22-12-22-21-11-2-22-11-110021-1-233−3−30033−3−30-221-1−33-110033−3−3-220002-23−300-1-1111-10−33000001-1−330000000000
χ4622-2-22-12-22-21-11-2-22-11-110021-1-233−3−300−3−3330-221-1−33-110033−3−32-2000-22−330011-1-11-10−3300000-113−30000000000
χ4722-2-22-12-22-21-11-2-22-11-110021-1-2−3−3330033−3−30-221-13−3-1100−3−3332-2000-223−30011-1-11-103−300000-11−330000000000
χ4822-2-22-12-22-21-11-2-22-11-110021-1-2−3−33300−3−3330-221-13−3-1100−3−333-220002-2−3300-1-1111-103−3000001-13−30000000000
χ4944444-2-4-444-2-2-2400-2-2-2-200-422-4000044-2-2-2-2000000022000000000-400022000000000000000000000000000000
χ5044444-2-4-444-2-2-2400-2-2-2-200-422-40000-4-422220000000220000000004000-2-2000000000000000000000000000000
χ514444-24-4-4-2-2444-200-2-2-2-2002-4-4200000000000000000220000000040-40000220000000000000-200000000000000
χ524444-24-4-4-2-2444-200-2-2-2-2002-4-42000000000000000002200000000-4040000-2-20000000000000200000000000000
χ534444-2-244-2-2-2-2-2-244111144-2-2-2-2-2-2-2-20000004-2-2-2-2-2-211-2-2111100000000000000011-2110000000000000000000
χ544444-2-244-2-2-2-2-2-2441111-4-4-2-2-2-22222000000-4-2-2-2-2221122-1-1-1-1000000000000000112-1-10000000000000000000
χ554444-2-244-2-2-2-2-2-2-4-4111144-2-2-2-2-2-2-2-2000000-422222211-2-21111000000000000000-1-12-1-10000000000000000000
χ564444-2-244-2-2-2-2-2-2-4-41111-4-4-2-2-2-2222200000042222-2-21122-1-1-1-1000000000000000-1-1-2110000000000000000000
χ5744-4-444-444-4-44-4-4004-44-400-44-4400000000000000000-44000000000000000000000000000000000000000000000
χ5844-4-44-2-444-42-22-400-22-2200-4-2240000002323−23−2300000002-20000000000000−2323000000000000000000000000000000
χ5944-4-44-2-444-42-22-400-22-2200-4-224000000−23−23232300000002-2000000000000023−23000000000000000000000000000000
χ6044-4-4-244-4-22-44-424-4-22-2200-2-44200000000000-224-400-22000000000000000000000-220000000000000000000000
χ6144-4-4-244-4-22-44-42-44-22-2200-2-442000000000002-2-4400-220000000000000000000002-20000000000000000000000
χ6244-4-4-24-44-22-44-4200-22-220024-4-2000000000000000002-20000000000000000000000000000000000023−2300000000
χ6344-4-4-24-44-22-44-4200-22-220024-4-2000000000000000002-200000000000000000000000000000000000−232300000000
χ6444-4-4-2-24-4-222-2224-41-11-100-22-222323−23−230000000-22-2223−231-100−3−3330000000000000001-10−330000000000000000000
χ6544-4-4-2-24-4-222-2224-41-11-100-22-22−23−2323230000000-22-22−23231-10033−3−30000000000000001-103−30000000000000000000
χ6644-4-4-2-24-4-222-222-441-11-100-22-222323−23−2300000002-22-2−23231-100−3−333000000000000000-1103−30000000000000000000
χ6744-4-4-2-24-4-222-222-441-11-100-22-22−23−23232300000002-22-223−231-10033−3−3000000000000000-110−330000000000000000000
χ684-44-44400-44-4-44-40044-4-400000000004-44-44-4000000000000000000000000000000000000000000000000000000
χ694-44-44400-44-4-44-40044-4-40000000000-44-44-44000000000000000000000000000000000000000000000000000000
χ704-44-44-200-4422-2-400-2-2220000006−66−64-4-22-22000000000006−66−6000000000006−66−6000000000000000000000000
χ714-44-44-200-4422-2-400-2-2220000006−66−6-442-22-2000000000006−66−600000000000−66−66000000000000000000000000
χ724-44-44-200-4422-2-400-2-222000000−66−664-4-22-2200000000000−66−6600000000000−66−66000000000000000000000000
χ734-44-44-200-4422-2-400-2-222000000−66−66-442-22-200000000000−66−66000000000006−66−6000000000000000000000000
χ744-4-444400-4-44-4-44004-4-4422−22000022−22−222200000000000000022−2222−22−2222000000000000000000000000000000000000000
χ754-4-444400-4-44-4-44004-4-44−22220000−222222−22000000000000000−2222−222222−22000000000000000000000000000000000000000
χ764-4-444-200-4-4-222400-222-222−220000−222−20023−23−232300000000022−22−222−200000000000−666−6000000000000000000000000
χ774-4-444-200-4-4-222400-222-222−220000−222−200−232323−2300000000022−22−222−2000000000006−6−66000000000000000000000000
χ784-4-444-200-4-4-222400-222-2−222200002−2−220023−23−2323000000000−22222−2−22000000000006−6−66000000000000000000000000
χ794-4-444-200-4-4-222400-222-2−222200002−2−2200−232323−23000000000−22222−2−2200000000000−666−6000000000000000000000000
χ804-4-44-2400224-4-4-200-222-222−22000022−22−2222000000000000000−22−222−2000000000−2i32i300000000000000000000i6−i6000000
χ814-4-44-2400224-4-4-200-222-222−22000022−22−2222000000000000000−22−222−20000000002i3−2i300000000000000000000−i6i6000000
χ824-4-44-2400224-4-4-200-222-2−22220000−222222−220000000000000002−22−2−22000000000−2i32i300000000000000000000−i6i6000000
χ834-4-44-2400224-4-4-200-222-2−22220000−222222−220000000000000002−22−2−220000000002i3−2i300000000000000000000i6−i6000000
χ848888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000-2-2000000000000000000000000000000000000000000000
χ8588-8-8-4-4-88-444-444002-22-2004-44-400000000000000000-22000000000000000000000000000000000000000000000
χ868-88-8-48004-4-8-88400-4-4440000000000000000000000000000000000000000000000000000000000000000000000
χ878-88-8-4-4004-444-440022-2-200000026−2626−2600000000000000000−66−66000000000000000000000000000000000000000
χ888-88-8-4-4004-444-440022-2-2000000−2626−2626000000000000000006−66−6000000000000000000000000000000000000000
χ898-8-88-4-40044-444-4002-2-2242−420000−222222−22000000000000000−22222−2−22000000000000000000000000000000000000000
χ908-8-88-4-40044-444-4002-2-22−4242000022−22−222200000000000000022−22−222−2000000000000000000000000000000000000000

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