Finite Group Databasebeta

← Group #11898267

Character table — Group #11898267

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order122233446666663446668812121212242424244444888812121212266121212121212242424242424444488121212122424242466612124422266661212122424488622
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111111111111111111111-111-1-111-1-1111111111-1-11-1-111-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-11-1-111-1-111-1-1-1-111111-1-1-111-1-1111-1-111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1111111-111111-1-1-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-111-1-11-1111-1-1-1-1-111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-111-1-1-11-1-1-111111-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-11111-1-11-1-1-1-1-111111-1-111-1
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-1-1-111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-111-1-11-1-1-1-1111-1-11-1-11-11
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11-1111111-1-1-1-1-1-1111-1-1-1-1-11-1-1-111-11111-111-11-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-1-1-1111111111-1-1-1-11-1111-1-11-1-1-1-1-11111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-11111-11111-1-1-1111-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200002222000022220000000-2-2000000-2-20000-2-222000000000220000000-20000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2000022220000000-2-2000000-220000-2-2-2-2000000000-2-2000000020000200000
χ19222222-2-222222220022200-2-2-2-20000-2-2220000-2-2-2-20000000-2-20000002-200002222000000000-2-20000000-20000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-200000022000022-2-200000000022000000020000-200000
χ2122222-1222-12-1-12-122-1-1-122-122-12222002200000000222-1-122-1-1-1-1-1-1-1-102002200-1-10000-1-1-1-1-10002200-1-1-100-1-1000-100
χ2222222-1222-12-1-12-122-1-1-122-122-1222200-2-200000000222-1-122-1-1-1-1-1-1-1-10-200-2-200110000-1-1-1-1-1000-2-2001110011000100
χ2322222-1222-12-1-12-122-1-1-1-2-2-122-1-2-2-2-2002200000000-2-2-2-1-122-1-11111110200-2-200-1-10000111-1-10002-200-1-1-10011000100
χ2422222-1222-12-1-12-122-1-1-1-2-2-122-1-2-2-2-200-2-200000000-2-2-2-1-122-1-11111110-2002200110000111-1-1000-220011100-1-1000-100
χ2522222-1222-12-1-12-1-2-2-1-1-122-122-12222002200000000-2-2-211-2-2-1-1-1-1-1-1-1-102002200-1-1000011111000-2-20011-100-1-1000100
χ2622222-1222-12-1-12-1-2-2-1-1-122-122-1222200-2-200000000-2-2-211-2-2-1-1-1-1-1-1-1-10-200-2-200110000111110002200-1-110011000-100
χ2722222-1222-12-1-12-1-2-2-1-1-1-2-2-122-1-2-2-2-200220000000022211-2-2-1-11111110200-2-200-1-10000-1-1-111000-220011-10011000-100
χ2822222-1222-12-1-12-1-2-2-1-1-1-2-2-122-1-2-2-2-200-2-20000000022211-2-2-1-11111110-2002200110000-1-1-1110002-200-1-1100-1-1000100
χ292222-1222-12-122-1-122-1-1-1222-1-12-1-1-1-122002222-1-1-1-12-1-122-1-1-1-122-1-1-1-1202200-1-100-1-1-1-12-1-1-1-100200-1-1000-1-100000000
χ302222-1222-12-122-1-122-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-211112-1-122-1-1-1-122-1-1-1-1-20-2-200110011112-1-1-1-100-200110001100000000
χ312222-1222-12-122-1-122-1-1-1-2-22-1-1211112200-2-2-2-2-1-1-1-1-21122-1-1-1-1-2-2111120-2-200-1-1001111-211-1-100200-1-10001100000000
χ322222-1222-12-122-1-122-1-1-1-2-22-1-121111-2-20022221111-21122-1-1-1-1-2-21111-2022001100-1-1-1-1-211-1-100-20011000-1-100000000
χ332222-1222-12-122-1-1-2-2-1-1-1222-1-12-1-1-1-122002222-1-1-1-1-211-2-211-1-122-1-1-1-120-2-200-1-100-1-1-1-1-2111100-200110001100000000
χ342222-1222-12-122-1-1-2-2-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-21111-211-2-211-1-122-1-1-1-1-20220011001111-2111100200-1-1000-1-100000000
χ352222-1222-12-122-1-1-2-2-1-1-1-2-22-1-1211112200-2-2-2-2-1-1-1-12-1-1-2-211-1-1-2-21111202200-1-10011112-1-11100-20011000-1-100000000
χ362222-1222-12-122-1-1-2-2-1-1-1-2-22-1-121111-2-200222211112-1-1-2-211-1-1-2-21111-20-2-2001100-1-1-1-12-1-11100200-1-10001100000000
χ3722-2-2222-222-2-2-2-222i−2i-22-2002-22-20000000022-2-200000002i−2i2i−2i2-2000000002i−2i00000022-2-20002i−2i00000000002i−2i00000000
χ3822-2-2222-222-2-2-2-222i−2i-22-2002-22-200000000-2-22200000002i−2i2i−2i2-200000000−2i2i000000-2-2220002i−2i0000000000−2i2i00000000
χ3922-2-2222-222-2-2-2-22−2i2i-22-2002-22-20000000022-2-20000000−2i2i−2i2i2-200000000−2i2i00000022-2-2000−2i2i0000000000−2i2i00000000
χ4022-2-2222-222-2-2-2-22−2i2i-22-2002-22-200000000-2-2220000000−2i2i−2i2i2-2000000002i−2i000000-2-222000−2i2i00000000002i−2i00000000
χ4122-2-2-122-2-121-2-21-12i−2i1-110021-1-233−3−3000022-2-233−3−30−i3i32i−2i−ii-110033−3−3002i−2i003−300-1-1110−i3i3−ii00000−i3i3000−ii00000000
χ4222-2-2-122-2-121-2-21-12i−2i1-110021-1-233−3−30000-2-222−3−3330−i3i32i−2i−ii-110033−3−300−2i2i00−330011-1-10−i3i3−ii00000i3−i3000i−i00000000
χ4322-2-2-122-2-121-2-21-12i−2i1-110021-1-2−3−333000022-2-2−3−3330i3−i32i−2i−ii-1100−3−333002i−2i00−3300-1-1110i3−i3−ii00000i3−i3000−ii00000000
χ4422-2-2-122-2-121-2-21-12i−2i1-110021-1-2−3−3330000-2-22233−3−30i3−i32i−2i−ii-1100−3−33300−2i2i003−30011-1-10i3−i3−ii00000−i3i3000i−i00000000
χ4522-2-2-122-2-121-2-21-1−2i2i1-110021-1-233−3−3000022-2-233−3−30i3−i3−2i2ii−i-110033−3−300−2i2i003−300-1-1110i3−i3i−i00000i3−i3000i−i00000000
χ4622-2-2-122-2-121-2-21-1−2i2i1-110021-1-233−3−30000-2-222−3−3330i3−i3−2i2ii−i-110033−3−3002i−2i00−330011-1-10i3−i3i−i00000−i3i3000−ii00000000
χ4722-2-2-122-2-121-2-21-1−2i2i1-110021-1-2−3−333000022-2-2−3−3330−i3i3−2i2ii−i-1100−3−33300−2i2i00−3300-1-1110−i3i3i−i00000−i3i3000i−i00000000
χ4822-2-2-122-2-121-2-21-1−2i2i1-110021-1-2−3−3330000-2-22233−3−30−i3i3−2i2ii−i-1100−3−333002i−2i003−30011-1-10−i3i3i−i00000i3−i3000−ii00000000
χ492-2-222200-2-2-2-222200-2-222−200002−22−22-22-22−22−22-22-20000000002−22−22−200002−2002-22−22−2000002-200000000002−202−2000
χ502-2-222200-2-2-2-222200-2-222−200002−22−22-2-222−22−22-22-20000000002−22−22−20000−2200-222−22−200000-220000000000−220−22000
χ512-2-222200-2-2-2-222200-2-222−200002−22−2-222-2−22−22-22-220000000002−22−22−200002−2002-2−22−2200000-2200000000002−20−22000
χ522-2-222200-2-2-2-222200-2-222−200002−22−2-22-22−22−22-22-220000000002−22−22−20000−2200-22−22−22000002-20000000000−2202−2000
χ532-2-222200-2-2-2-222200-2-22−220000−22−222-22-2−22−222-22-2000000000−22−22−220000−22002-2−22−22000002-20000000000−220−22000
χ542-2-222200-2-2-2-222200-2-22−220000−22−222-2-22−22−222-22-2000000000−22−22−2200002−200-22−22−2200000-2200000000002−202−2000
χ552-2-222200-2-2-2-222200-2-22−220000−22−22-222-22−22−2-22-22000000000−22−22−220000−22002-22−22−200000-220000000000−2202−2000
χ562-2-222200-2-2-2-222200-2-22−220000−22−22-22-222−22−2-22-22000000000−22−22−2200002−200-222−22−2000002-200000000002−20−22000
χ5744444-2-4-44-24-2-24-200-2-2-2002-4-4200000044000000000000000220000000-4000000-2-200000000000000000020000000000
χ5844444-2-4-44-24-2-24-200-2-2-2002-4-42000000-4-4000000000000000220000000400000022000000000000000000-20000000000
χ594444-24-4-4-24-244-2-200-2-2-200-422-4000044000000-2-2-2-2000000022000000-400000220000000000000000000000000000000
χ604444-24-4-4-24-244-2-200-2-2-200-422-40000-4-40000002222000000022000000400000-2-20000000000000000000000000000000
χ614444-2-244-2-2-2-2-2-214411144-2-2-2-2-2-2-2-20000000000004-2-2-2-2-2-211-2-2111100000000000000-2111100000000000000000000
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-422-2-2-2-21122-1-1-1-1000000000000002-1-11100000000000000000000
χ634444-2-244-2-2-2-2-2-21-4-411144-2-2-2-2-2-2-2-2000000000000-422222211-2-21111000000000000002-1-1-1-100000000000000000000
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-222220000000000004-2-222221122-1-1-1-100000000000000-211-1-100000000000000000000
χ6544-4-444-4444-4-4-4-4400-44-400-44-4400000000000000000000000-44000000000000000000000000000000000000000000000
χ6644-4-44-24-44-2-422-4-24i−4i2-2200-2-4420000000000000000000−2i2i4i−4i-2200000000000000000000000−2i2i00000000000000000000
χ6744-4-44-24-44-2-422-4-2−4i4i2-2200-2-44200000000000000000002i−2i−4i4i-22000000000000000000000002i−2i00000000000000000000
χ6844-4-44-2-444-2-422-4-2002-220024-4-2000000000000000000000002-200000000000000000000000000000000−2i32i300000000000
χ6944-4-44-2-444-2-422-4-2002-220024-4-2000000000000000000000002-2000000000000000000000000000000002i3−2i300000000000
χ7044-4-4-24-44-242-4-42-2002-2200-4-2240000000000002323−23−2300000002-2000000000000−23230000000000000000000000000000000
χ7144-4-4-24-44-242-4-42-2002-2200-4-224000000000000−23−23232300000002-200000000000023−230000000000000000000000000000000
χ7244-4-4-2-24-4-2-2222214i−4i-11-100-22-222323−23−230000000000000−2i32i3−2i2i−2i2i1-100−3−333000000000000000i3−i3i−i00000000000000000000
χ7344-4-4-2-24-4-2-2222214i−4i-11-100-22-22−23−23232300000000000002i3−2i3−2i2i−2i2i1-10033−3−3000000000000000−i3i3i−i00000000000000000000
χ7444-4-4-2-24-4-2-222221−4i4i-11-100-22-222323−23−2300000000000002i3−2i32i−2i2i−2i1-100−3−333000000000000000−i3i3−ii00000000000000000000
χ7544-4-4-2-24-4-2-222221−4i4i-11-100-22-22−23−2323230000000000000−2i32i32i−2i2i−2i1-10033−3−3000000000000000i3−i3−ii00000000000000000000
χ764-44-44400-4-444-4-44004-4-40000000000000022−22−22220000000000000000000000000000022−22−22220000000000000000000000000
χ774-44-44400-4-444-4-44004-4-400000000000000−222222−2200000000000000000000000000000−222222−220000000000000000000000000
χ784-44-4-24002-4-24-42-200-2220000006−6−66000022−22−222223−23−2323000000000006−6−660000000000−222−20000000000000000000000000
χ794-44-4-24002-4-24-42-200-2220000006−6−660000−222222−22−232323−23000000000006−6−6600000000002−2−220000000000000000000000000
χ804-44-4-24002-4-24-42-200-222000000−666−6000022−22−2222−232323−2300000000000−666−60000000000−222−20000000000000000000000000
χ814-44-4-24002-4-24-42-200-222000000−666−60000−222222−2223−23−232300000000000−666−600000000002−2−220000000000000000000000000
χ824-4-444-200-42-42-24-20022-222−22000022−2222−22004-400000000000000000−22−22−22000022−2200-22000000000000000000000−22000000
χ834-4-444-200-42-42-24-20022-222−22000022−2222−2200-4400000000000000000−22−22−220000−2222002-20000000000000000000002−2000000
χ844-4-444-200-42-42-24-20022-2−22220000−2222−2222004-4000000000000000002−22−22−20000−222200-220000000000000000000002−2000000
χ854-4-444-200-42-42-24-20022-2−22220000−2222−222200-44000000000000000002−22−22−2000022−22002-2000000000000000000000−22000000
χ864-4-44-24002-42-44-2-20022-222−220000−22−224-40022−2222−22-22-2200000000022−22−22−220000000000−22−220000000000000000000000000
χ874-4-44-24002-42-44-2-20022-222−220000−22−22-4400−2222−22222-22-200000000022−22−22−2200000000002−22−20000000000000000000000000
χ884-4-44-24002-42-44-2-20022-2−222200002−22−24-400−2222−2222-22-22000000000−22222−22−200000000002−22−20000000000000000000000000
χ894-4-44-24002-42-44-2-20022-2−222200002−22−2-440022−2222−222-22-2000000000−22222−22−20000000000−22−220000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-4-88-4-44444200-22-2004-44-400000000000000000000000-22000000000000000000000000000000000000000000000
χ928-88-88-400-848-44-8-400-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ938-88-8-4-40044-4-4442002-2-200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ948-88-8-4-40044-4-4442002-2-2000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000
χ958-8-88-4-4004444-4-4200-2-2242−420000−2222−2222000000000000000000000−22222−22−2000000000000000000000000000000000000000
χ968-8-88-4-4004444-4-4200-2-22−4242000022−2222−2200000000000000000000022−22−22−22000000000000000000000000000000000000000

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