Finite Group Databasebeta

← Group #11887121

Character table — Group #11887121

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order122233446666662236668812121212242424242222666688884666612121212242424242424444466881212242424246612121244224666612121224244881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111111111111111111111-111-1-1-1-111111111111-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-11-1-11111-1-1-1-1-1-111111-1-1-111-1-111-1-1111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-11111-11111-1-11-1-11-1-1-11-1
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
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-1-1-111-1-111-1-1111111-1-1-111-1-11-1-1-1-111-1111-1-111-1
χ911111111111111-1-111111111111111111111111111-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1
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
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1
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
χ1411111111111111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11-111-1-11111-1-1-1-1-1-1111-1-1-11-1-1-11111-111-111-11-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1111-1-11-1111-1-1-1-11-1-1-11111-1
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
χ17222222-2-222222200222200-2-2-2-200002222222200000000000-2-2000000-2-2002200-2-200000000022000000000-200-200000
χ18222222-2-222222200222200-2-2-2-2000022-2-2222200000000000-2-2000000-2200-2-200-2-2000000000-2-2000000000200200000
χ19222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-200000000000-2-20000002-200220022000000000-2-2000000000-200200000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-2-2-200000000000-2-20000002200-2-2002200000000022000000000200-200000
χ2122222-1222-12-1-1222-1-1-1-122-122-1-1-1-1-12200-1-1-1-12222222-1-1-1-1-1-122-1-1-1-120220000-1-1-1-1-1-1-1-12-1-100200-1-100-1-1000000000
χ2222222-1222-12-1-1222-1-1-1-122-122-1-1-1-1-1-2-2001111-2-2-2-2222-1-1-1-1-1-122-1-1-1-1-20-2-20000111111-1-12-1-100-200110011000000000
χ2322222-1222-12-1-1222-1-1-1-1-2-2-122-111112200-1-1-1-1-2-2-2-2-222-1-111-1-1-2-2111120-2-20000-1-11111-1-1-21100200-1-10011000000000
χ2422222-1222-12-1-1222-1-1-1-1-2-2-122-11111-2-20011112222-222-1-111-1-1-2-21111-2022000011-1-1-1-1-1-1-21100-2001100-1-1000000000
χ2522222-1222-12-1-12-2-2-1-1-1-122-122-1-1-1-1-12200-1-1-1-12222-2-2-21111-1-122-1-1-1-120-2-20000-1-1-1-1-1-111-21100-200110011000000000
χ2622222-1222-12-1-12-2-2-1-1-1-122-122-1-1-1-1-1-2-2001111-2-2-2-2-2-2-21111-1-122-1-1-1-1-2022000011111111-21100200-1-100-1-1000000000
χ2722222-1222-12-1-12-2-2-1-1-1-1-2-2-122-111112200-1-1-1-1-2-2-2-22-2-211-1-1-1-1-2-2111120220000-1-11111112-1-100-2001100-1-1000000000
χ2822222-1222-12-1-12-2-2-1-1-1-1-2-2-122-11111-2-200111122222-2-211-1-1-1-1-2-21111-20-2-2000011-1-1-1-1112-1-100200-1-10011000000000
χ292222-1222-12-122-122-1-1-1-1222-1-1222220022000000002-1-12222-1-1-1-1-1-1-1-10200-1-122000000-1-1-1-1-10002200-1-100-1-1-1000-100
χ302222-1222-12-122-122-1-1-1-1222-1-12222200-2-2000000002-1-12222-1-1-1-1-1-1-1-10-20011-2-2000000-1-1-1-1-1000-2-2001100111000100
χ312222-1222-12-122-122-1-1-1-1-2-22-1-12-2-2-2-2002200000000-2-1-122-2-2-1-11111110200-1-1-2-2000000-1-11110002-200-1-100-111000100
χ322222-1222-12-122-122-1-1-1-1-2-22-1-12-2-2-2-200-2-200000000-2-1-122-2-2-1-11111110-2001122000000-1-1111000-220011001-1-1000-100
χ332222-1222-12-122-1-2-2-1-1-1-1222-1-122222002200000000-211-2-2-2-2-1-1-1-1-1-1-1-10200-1-12200000011111000-2-2001100-1-1-1000100
χ342222-1222-12-122-1-2-2-1-1-1-1222-1-12222200-2-200000000-211-2-2-2-2-1-1-1-1-1-1-1-10-20011-2-2000000111110002200-1-100111000-100
χ352222-1222-12-122-1-2-2-1-1-1-1-2-22-1-12-2-2-2-2002200000000211-2-222-1-11111110200-1-1-2-200000011-1-1-1000-22001100-111000-100
χ362222-1222-12-122-1-2-2-1-1-1-1-2-22-1-12-2-2-2-200-2-200000000211-2-222-1-11111110-200112200000011-1-1-10002-200-1-1001-1-1000100
χ3722-2-2222-2-2-2-22-222-22-22-2002-22-20000000000002i2i−2i−2i02-22-2002-2000000002i−2i0000002i2i−2i−2i2-20000000000002i−2i000000000
χ3822-2-2222-2-2-2-22-222-22-22-2002-22-2000000000000−2i−2i2i2i02-22-2002-200000000−2i2i000000−2i−2i2i2i2-2000000000000−2i2i000000000
χ3922-2-2222-2-2-2-22-22-222-22-2002-22-20000000000002i2i−2i−2i0-22-22002-200000000−2i2i0000002i2i−2i−2i-22000000000000−2i2i000000000
χ4022-2-2222-2-2-2-22-22-222-22-2002-22-2000000000000−2i−2i2i2i0-22-22002-2000000002i−2i000000−2i−2i2i2i-220000000000002i−2i000000000
χ4122-2-22-12-2-21-2-1122-2-11-1100-1-22133−3−30000−i3−i3i3i32i2i−2i−2i02-2-113−3-110033−3−3002i−2i0000−i3i3−i−iii-1103−300000−i3i300−ii000000000
χ4222-2-22-12-2-21-2-1122-2-11-1100-1-22133−3−30000i3i3−i3−i3−2i−2i2i2i02-2-113−3-110033−3−300−2i2i0000i3−i3ii−i−i-1103−300000i3−i300i−i000000000
χ4322-2-22-12-2-21-2-1122-2-11-1100-1-221−3−3330000−i3−i3i3i3−2i−2i2i2i02-2-11−33-1100−3−33300−2i2i0000−i3i3ii−i−i-110−3300000−i3i300i−i000000000
χ4422-2-22-12-2-21-2-1122-2-11-1100-1-221−3−3330000i3i3−i3−i32i2i−2i−2i02-2-11−33-1100−3−333002i−2i0000i3−i3−i−iii-110−3300000i3−i300−ii000000000
χ4522-2-22-12-2-21-2-112-22-11-1100-1-22133−3−30000−i3−i3i3i32i2i−2i−2i0-221-1−33-110033−3−300−2i2i0000−i3i3−i−iii1-10−3300000i3−i300i−i000000000
χ4622-2-22-12-2-21-2-112-22-11-1100-1-22133−3−30000i3i3−i3−i3−2i−2i2i2i0-221-1−33-110033−3−3002i−2i0000i3−i3ii−i−i1-10−3300000−i3i300−ii000000000
χ4722-2-22-12-2-21-2-112-22-11-1100-1-221−3−3330000−i3−i3i3i3−2i−2i2i2i0-221-13−3-1100−3−333002i−2i0000−i3i3ii−i−i1-103−300000i3−i300−ii000000000
χ4822-2-22-12-2-21-2-112-22-11-1100-1-221−3−3330000i3i3−i3−i32i2i−2i−2i0-221-13−3-1100−3−33300−2i2i0000i3−i3−i−iii1-103−300000−i3i300i−i000000000
χ492-22-2220022-2-2-2-20022-2-2−i2i20000−i2i2−i2i22-22-22-22-2−i2i2−i2i2000000000−i2i2−i2i2−i2i200002-2−i2i200−i2i2−i2i2000002-20000000000−i2i20−i2i2000
χ502-22-2220022-2-2-2-20022-2-2−i2i20000−i2i2−i2i22-2-222-22-2−i2i2−i2i2000000000−i2i2−i2i2−i2i20000-22i2−i200−i2i2−i2i200000-220000000000i2−i20i2−i2000
χ512-22-2220022-2-2-2-20022-2-2−i2i20000−i2i2−i2i2-222-2-22-22i2−i2i2−i2000000000−i2i2−i2i2−i2i200002-2−i2i200i2−i2i2−i200000-220000000000−i2i20i2−i2000
χ522-22-2220022-2-2-2-20022-2-2−i2i20000−i2i2−i2i2-22-22-22-22i2−i2i2−i2000000000−i2i2−i2i2−i2i20000-22i2−i200i2−i2i2−i2000002-20000000000i2−i20−i2i2000
χ532-22-2220022-2-2-2-20022-2-2i2−i20000i2−i2i2−i22-22-22-22-2i2−i2i2−i2000000000i2−i2i2−i2i2−i200002-2i2−i200i2−i2i2−i2000002-20000000000i2−i20i2−i2000
χ542-22-2220022-2-2-2-20022-2-2i2−i20000i2−i2i2−i22-2-222-22-2i2−i2i2−i2000000000i2−i2i2−i2i2−i20000-22−i2i200i2−i2i2−i200000-220000000000−i2i20−i2i2000
χ552-22-2220022-2-2-2-20022-2-2i2−i20000i2−i2i2−i2-222-2-22-22−i2i2−i2i2000000000i2−i2i2−i2i2−i200002-2i2−i200−i2i2−i2i200000-220000000000i2−i20−i2i2000
χ562-22-2220022-2-2-2-20022-2-2i2−i20000i2−i2i2−i2-22-22-22-22−i2i2−i2i2000000000i2−i2i2−i2i2−i20000-22−i2i200−i2i2−i2i2000002-20000000000−i2i20i2−i2000
χ5744444-2-4-44-24-2-2400-2-2-2-2002-4-4200004400-2-2-2-20000000000022000000-400000002200000000000000000000000000000
χ5844444-2-4-44-24-2-2400-2-2-2-2002-4-420000-4-4002222000000000002200000040000000-2-200000000000000000000000000000
χ594444-24-4-4-24-244-200-2-2-2-200-422-400000044000000000000000220000000-400-2-2000000000000000000000000200000000
χ604444-24-4-4-24-244-200-2-2-2-200-422-4000000-4-400000000000000022000000040022000000000000000000000000-200000000
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
χ6544-4-444-44-4-4-44-44004-44-400-44-4400000000000000000000000-44000000000000000000000000000000000000000000000
χ6644-4-44-2-44-42-4-22400-22-220024-4-200000000−2i3−2i32i32i3000000000002-2000000000000002i3−2i300000000000000000000000000000
χ6744-4-44-2-44-42-4-22400-22-220024-4-2000000002i32i3−2i3−2i3000000000002-200000000000000−2i32i300000000000000000000000000000
χ6844-4-4-244-42-424-4-24-4-22-220042-2-400000000000000000-224-400-2200000000000000000000-2200000000000000000000000
χ6944-4-4-244-42-424-4-2-44-22-220042-2-4000000000000000002-2-4400-22000000000000000000002-200000000000000000000000
χ7044-4-4-24-442-424-4-200-22-2200-4-224000000000000000000000002-200000000000000000000000000000000−2i32i300000000000
χ7144-4-4-24-442-424-4-200-22-2200-4-224000000000000000000000002-2000000000000000000000000000000002i3−2i300000000000
χ7244-4-4-2-24-4222-22-24-41-11-100-22-222323−23−230000000000000-22-2223−231-100−3−333000000000000001-10−3300000000000000000000
χ7344-4-4-2-24-4222-22-24-41-11-100-22-22−23−2323230000000000000-22-22−23231-10033−3−3000000000000001-103−300000000000000000000
χ7444-4-4-2-24-4222-22-2-441-11-100-22-222323−23−2300000000000002-22-2−23231-100−3−33300000000000000-1103−300000000000000000000
χ7544-4-4-2-24-4222-22-2-441-11-100-22-22−23−23232300000000000002-22-223−231-10033−3−300000000000000-110−3300000000000000000000
χ764-44-44-2004-2-422-400-2-222−2i22i20000i2−i2i2−i24-400-22-22−2i22i2−2i22i2000000000−2i22i2i2−i2i2−i20000000000i2−i2i2−i20000000000000000000000000
χ774-44-44-2004-2-422-400-2-222−2i22i20000i2−i2i2−i2-44002-22-22i2−2i22i2−2i2000000000−2i22i2i2−i2i2−i20000000000−i2i2−i2i20000000000000000000000000
χ784-44-44-2004-2-422-400-2-2222i2−2i20000−i2i2−i2i24-400-22-222i2−2i22i2−2i20000000002i2−2i2−i2i2−i2i20000000000−i2i2−i2i20000000000000000000000000
χ794-44-44-2004-2-422-400-2-2222i2−2i20000−i2i2−i2i2-44002-22-2−2i22i2−2i22i20000000002i2−2i2−i2i2−i2i20000000000i2−i2i2−i20000000000000000000000000
χ804-44-4-2400-242-4-4200-2-222−2i22i20000−2i22i2−2i22i2004-400000000000000000i2−i2i2−i2i2−i20000-22−2i22i200000000000000000000000i2−i2000000
χ814-44-4-2400-242-4-4200-2-222−2i22i20000−2i22i2−2i22i200-4400000000000000000i2−i2i2−i2i2−i200002-22i2−2i200000000000000000000000−i2i2000000
χ824-44-4-2400-242-4-4200-2-2222i2−2i200002i2−2i22i2−2i2004-400000000000000000−i2i2−i2i2−i2i20000-222i2−2i200000000000000000000000−i2i2000000
χ834-44-4-2400-242-4-4200-2-2222i2−2i200002i2−2i22i2−2i200-4400000000000000000−i2i2−i2i2−i2i200002-2−2i22i200000000000000000000000i2−i2000000
χ844-4-444400-4-44-44-4004-4-4400000000000000000022−22−2222000000000000000000000000022−22−22220000000000000000000000000
χ854-4-444400-4-44-44-4004-4-44000000000000000000−222222−220000000000000000000000000−222222−220000000000000000000000000
χ864-4-444-200-4242-2-400-222-2000000i6−i6−i6i60000−2i32i32i3−2i3−222222−2200000000000i6−i6−i6i600000000002−2−220000000000000000000000000
χ874-4-444-200-4242-2-400-222-2000000i6−i6−i6i600002i3−2i3−2i32i322−22−222200000000000i6−i6−i6i60000000000−222−20000000000000000000000000
χ884-4-444-200-4242-2-400-222-2000000−i6i6i6−i60000−2i32i32i3−2i322−22−222200000000000−i6i6i6−i60000000000−222−20000000000000000000000000
χ894-4-444-200-4242-2-400-222-2000000−i6i6i6−i600002i3−2i3−2i32i3−222222−2200000000000−i6i6i6−i600000000002−2−220000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-4-88444-44-4002-22-2004-44-400000000000000000000000-22000000000000000000000000000000000000000000000
χ928-88-8-4-400-4-444440022-2-2−4i24i200002i2−2i22i2−2i20000000000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ938-88-8-4-400-4-444440022-2-24i2−4i20000−2i22i2−2i22i2000000000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000
χ948-8-88-48004-8-4-88400-444-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-40044-44-44002-2-220000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ968-8-88-4-40044-44-44002-2-22000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000

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