Finite Group Databasebeta

← Group #11887020

Character table — Group #11887020

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order12223344666666223666881212121224242424222266668888466661212121224242424242444446688121224242424661212124422266661212122424488644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111111111111111111111-111-1-1-1-111111111111-1-11-1-111-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-11-1-11111-1-1-1-1-1-111111-1-1-111-1-1111-1-111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-11111-111111-1-1-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-1-1-1-11111-1-1-1-111-1-1-1-1-11-1111-1-1-1-1-111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-11111-1-111-1-1-1-1-1-1-111111-1-1-1-1111111-1-1-1-1-1-11-1-1-111111-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-111-1-11-1-1-1-1-111111-1-111-1
χ911111111111111-1-111111111111111111111111111-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-1
χ1011111111111111-1-11111111111111111-1-111111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111
χ1111111111111111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-111
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1
χ1311111111111111-1-11111-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111111-1-11-1-1-1-1111-1-11-1-11-11
χ1411111111111111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1111-1-1-11-1-1-111-11111-111-11-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1111-1-11-1111-1-11-1-1-1-1-11111-1
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111111-11111-1-1-1111-1-1-1-11
χ17222222-2-222222200222200-2-2-2-200002222222200000000000-2-2000000-2-2002200-2-2000000000220000000-20000-200000
χ18222222-2-222222200222200-2-2-2-2000022-2-2222200000000000-2-2000000-2200-2-200-2-2000000000-2-2000000020000200000
χ19222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-200000000000-2-20000002-200220022000000000-2-20000000-20000200000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-2-2-200000000000-2-20000002200-2-2002200000000022000000020000-200000
χ2122222-1222-1-12-1222-1-1-1-1222-1-122222002200000000222-1-122-1-1-1-1-1-1-1-10200-1-122000000-1-1-1-1-10002200-1-1-100-1-1000-100
χ2222222-1222-1-12-1222-1-1-1-1222-1-12222200-2-200000000222-1-122-1-1-1-1-1-1-1-10-20011-2-2000000-1-1-1-1-1000-2-2001110011000100
χ2322222-1222-1-12-1222-1-1-1-1-2-22-1-12-2-2-2-2002200000000-222-1-1-2-2-1-11111110200-1-1-2-2000000-1-11110002-200-1-1-10011000100
χ2422222-1222-1-12-1222-1-1-1-1-2-22-1-12-2-2-2-200-2-200000000-222-1-1-2-2-1-11111110-2001122000000-1-1111000-220011100-1-1000-100
χ2522222-1222-1-12-12-2-2-1-1-1-1222-1-122222002200000000-2-2-211-2-2-1-1-1-1-1-1-1-10200-1-12200000011111000-2-20011-100-1-1000100
χ2622222-1222-1-12-12-2-2-1-1-1-1222-1-12222200-2-200000000-2-2-211-2-2-1-1-1-1-1-1-1-10-20011-2-2000000111110002200-1-110011000-100
χ2722222-1222-1-12-12-2-2-1-1-1-1-2-22-1-12-2-2-2-20022000000002-2-21122-1-11111110200-1-1-2-200000011-1-1-1000-220011-10011000-100
χ2822222-1222-1-12-12-2-2-1-1-1-1-2-22-1-12-2-2-2-200-2-2000000002-2-21122-1-11111110-200112200000011-1-1-10002-200-1-1100-1-1000100
χ292222-1222-122-12-122-1-1-1-122-122-1-1-1-1-12200-1-1-1-122222-1-122-1-1-1-122-1-1-1-120220000-1-1-1-1-1-1-1-12-1-100200-1-1000-1-100000000
χ302222-1222-122-12-122-1-1-1-122-122-1-1-1-1-1-2-2001111-2-2-2-22-1-122-1-1-1-122-1-1-1-1-20-2-20000111111-1-12-1-100-200110001100000000
χ312222-1222-122-12-122-1-1-1-1-2-2-122-111112200-1-1-1-1-2-2-2-2-2-1-12211-1-1-2-2111120-2-20000-1-11111-1-1-21100200-1-10001100000000
χ322222-1222-122-12-122-1-1-1-1-2-2-122-11111-2-20011112222-2-1-12211-1-1-2-21111-2022000011-1-1-1-1-1-1-21100-20011000-1-100000000
χ332222-1222-122-12-1-2-2-1-1-1-122-122-1-1-1-1-12200-1-1-1-12222-211-2-211-1-122-1-1-1-120-2-20000-1-1-1-1-1-111-21100-200110001100000000
χ342222-1222-122-12-1-2-2-1-1-1-122-122-1-1-1-1-1-2-2001111-2-2-2-2-211-2-211-1-122-1-1-1-1-2022000011111111-21100200-1-1000-1-100000000
χ352222-1222-122-12-1-2-2-1-1-1-1-2-2-122-111112200-1-1-1-1-2-2-2-2211-2-2-1-1-1-1-2-2111120220000-1-11111112-1-100-20011000-1-100000000
χ362222-1222-122-12-1-2-2-1-1-1-1-2-2-122-11111-2-20011112222211-2-2-1-1-1-1-2-21111-20-2-2000011-1-1-1-1112-1-100200-1-10001100000000
χ3722-2-2222-2-2-2-222-22-22-22-2002-22-20000000000002i2i−2i−2i02-22-2002-2000000002i−2i0000002i2i−2i−2i2-200000000000002i−2i00000000
χ3822-2-2222-2-2-2-222-22-22-22-2002-22-2000000000000−2i−2i2i2i02-22-2002-200000000−2i2i000000−2i−2i2i2i2-20000000000000−2i2i00000000
χ3922-2-2222-2-2-2-222-2-222-22-2002-22-20000000000002i2i−2i−2i0-22-22002-200000000−2i2i0000002i2i−2i−2i-220000000000000−2i2i00000000
χ4022-2-2222-2-2-2-222-2-222-22-2002-22-2000000000000−2i−2i2i2i0-22-22002-2000000002i−2i000000−2i−2i2i2i-2200000000000002i−2i00000000
χ4122-2-2-122-21-2-2-1212-2-11-1100-1-22133−3−30000−i3−i3i3i32i2i−2i−2i0-112-23−3-110033−3−3002i−2i0000−i3i3−i−iii-1103−300000−i3i3000−ii00000000
χ4222-2-2-122-21-2-2-1212-2-11-1100-1-22133−3−30000i3i3−i3−i3−2i−2i2i2i0-112-23−3-110033−3−300−2i2i0000i3−i3ii−i−i-1103−300000i3−i3000i−i00000000
χ4322-2-2-122-21-2-2-1212-2-11-1100-1-221−3−3330000−i3−i3i3i3−2i−2i2i2i0-112-2−33-1100−3−33300−2i2i0000−i3i3ii−i−i-110−3300000−i3i3000i−i00000000
χ4422-2-2-122-21-2-2-1212-2-11-1100-1-221−3−3330000i3i3−i3−i32i2i−2i−2i0-112-2−33-1100−3−333002i−2i0000i3−i3−i−iii-110−3300000i3−i3000−ii00000000
χ4522-2-2-122-21-2-2-121-22-11-1100-1-22133−3−30000−i3−i3i3i32i2i−2i−2i01-1-22−33-110033−3−300−2i2i0000−i3i3−i−iii1-10−3300000i3−i3000i−i00000000
χ4622-2-2-122-21-2-2-121-22-11-1100-1-22133−3−30000i3i3−i3−i3−2i−2i2i2i01-1-22−33-110033−3−3002i−2i0000i3−i3ii−i−i1-10−3300000−i3i3000−ii00000000
χ4722-2-2-122-21-2-2-121-22-11-1100-1-221−3−3330000−i3−i3i3i3−2i−2i2i2i01-1-223−3-1100−3−333002i−2i0000−i3i3ii−i−i1-103−300000i3−i3000−ii00000000
χ4822-2-2-122-21-2-2-121-22-11-1100-1-221−3−3330000i3i3−i3−i32i2i−2i−2i01-1-223−3-1100−3−33300−2i2i0000i3−i3−i−iii1-103−300000−i3i3000i−i00000000
χ492-2-222200-2-22-2-22002-2-222−200002−22−22-22-22-22-22−22−20000000002−22−22−200002-22−2002−22−2000002-200000000002−202−2000
χ502-2-222200-2-22-2-22002-2-222−200002−22−22-2-222-22-22−22−20000000002−22−22−20000-22−22002−22−200000-220000000000−220−22000
χ512-2-222200-2-22-2-22002-2-222−200002−22−2-222-2-22-22−22−220000000002−22−22−200002-22−200−22−2200000-2200000000002−20−22000
χ522-2-222200-2-22-2-22002-2-222−200002−22−2-22-22-22-22−22−220000000002−22−22−20000-22−2200−22−22000002-20000000000−2202−2000
χ532-2-222200-2-22-2-22002-2-22−220000−22−222-22-22-22-2−22−22000000000−22−22−2200002-2−2200−22−22000002-20000000000−220−22000
χ542-2-222200-2-22-2-22002-2-22−220000−22−222-2-222-22-2−22−22000000000−22−22−220000-222−200−22−2200000-2200000000002−202−2000
χ552-2-222200-2-22-2-22002-2-22−220000−22−22-222-2-22-222−22−2000000000−22−22−2200002-2−22002−22−200000-220000000000−2202−2000
χ562-2-222200-2-22-2-22002-2-22−220000−22−22-22-22-22-222−22−2000000000−22−22−220000-222−2002−22−2000002-200000000002−20−22000
χ5744444-2-4-44-2-24-2400-2-2-2-200-422-400000044000000000000000220000000-400-2-2000000000000000000000020000000000
χ5844444-2-4-44-2-24-2400-2-2-2-200-422-4000000-4-4000000000000000220000000400220000000000000000000000-20000000000
χ594444-24-4-4-244-24-200-2-2-2-2002-4-4200004400-2-2-2-20000000000022000000-400000002200000000000000000000000000000
χ604444-24-4-4-244-24-200-2-2-2-2002-4-420000-4-4002222000000000002200000040000000-2-200000000000000000000000000000
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
χ6544-4-444-44-4-4-444-4004-44-400-44-4400000000000000000000000-44000000000000000000000000000000000000000000000
χ6644-4-44-24-4-4224-2-44-4-22-220042-2-4000000000000000004-4-2200-2200000000000000000000-2200000000000000000000000
χ6744-4-44-24-4-4224-2-4-44-22-220042-2-400000000000000000-442-200-22000000000000000000002-200000000000000000000000
χ6844-4-44-2-44-4224-2-400-22-2200-4-224000000000000000000000002-200000000000000000000000000000000−2i32i300000000000
χ6944-4-44-2-44-4224-2-400-22-2200-4-224000000000000000000000002-2000000000000000000000000000000002i3−2i300000000000
χ7044-4-4-24-442-4-4-24200-22-220024-4-200000000−2i3−2i32i32i3000000000002-2000000000000002i3−2i300000000000000000000000000000
χ7144-4-4-24-442-4-4-24200-22-220024-4-2000000002i32i3−2i3−2i3000000000002-200000000000000−2i32i300000000000000000000000000000
χ7244-4-4-2-24-4222-2-224-41-11-100-22-222323−23−230000000000000-22-2223−231-100−3−333000000000000001-10−3300000000000000000000
χ7344-4-4-2-24-4222-2-224-41-11-100-22-22−23−2323230000000000000-22-22−23231-10033−3−3000000000000001-103−300000000000000000000
χ7444-4-4-2-24-4222-2-22-441-11-100-22-222323−23−2300000000000002-22-2−23231-100−3−33300000000000000-1103−300000000000000000000
χ7544-4-4-2-24-4222-2-22-441-11-100-22-22−23−23232300000000000002-22-223−231-10033−3−300000000000000-110−3300000000000000000000
χ764-44-4440044-4-4-4-40044-4-4000000000000000000−2i22i22i2−2i20000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ774-44-4440044-4-4-4-40044-4-40000000000000000002i2−2i2−2i22i200000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ784-44-4-2400-24-42-4200-2-2220000006−6−660000−2i32i32i3−2i32i2−2i2−2i22i2000000000006−6−660000000000−i2i2i2−i20000000000000000000000000
χ794-44-4-2400-24-42-4200-2-2220000006−6−6600002i3−2i3−2i32i3−2i22i22i2−2i2000000000006−6−660000000000i2−i2−i2i20000000000000000000000000
χ804-44-4-2400-24-42-4200-2-222000000−666−60000−2i32i32i3−2i3−2i22i22i2−2i200000000000−666−60000000000i2−i2−i2i20000000000000000000000000
χ814-44-4-2400-24-42-4200-2-222000000−666−600002i3−2i3−2i32i32i2−2i2−2i22i200000000000−666−60000000000−i2i2i2−i20000000000000000000000000
χ824-4-444-200-42-2-42400-222-222−22000022−2222−22004-400000000000000000−22−22−220000-2222−2200000000000000000000000−22000000
χ834-4-444-200-42-2-42400-222-222−22000022−2222−2200-4400000000000000000−22−22−2200002-2−2222000000000000000000000002−2000000
χ844-4-444-200-42-2-42400-222-2−22220000−2222−2222004-4000000000000000002−22−22−20000-22−2222000000000000000000000002−2000000
χ854-4-444-200-42-2-42400-222-2−22220000−2222−222200-44000000000000000002−22−22−200002-222−2200000000000000000000000−22000000
χ864-4-44-24002-442-4-200-222-222−220000−22−224-400-22-2222−2222−2200000000022−22−22−220000000000−22−220000000000000000000000000
χ874-4-44-24002-442-4-200-222-222−220000−22−22-44002-22-2−2222−222200000000022−22−22−2200000000002−22−20000000000000000000000000
χ884-4-44-24002-442-4-200-222-2−222200002−22−24-400-22-22−2222−2222000000000−22222−22−200000000002−22−20000000000000000000000000
χ894-4-44-24002-442-4-200-222-2−222200002−22−2-44002-22-222−2222−22000000000−22222−22−20000000000−22−220000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-4-88444-4-44002-22-2004-44-400000000000000000000000-22000000000000000000000000000000000000000000000
χ928-88-88-4008-44-84-800-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-400-4-444440022-2-200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ948-88-8-4-400-4-444440022-2-2000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000
χ958-8-88-4-40044-444-4002-2-2242−420000−2222−2222000000000000000000000−22222−22−2000000000000000000000000000000000000000
χ968-8-88-4-40044-444-4002-2-22−4242000022−2222−2200000000000000000000022−22−22−22000000000000000000000000000000000000000

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