Finite Group Databasebeta

← Group #11887235

Character table — Group #11887235

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order122233446666662236668812121212242424242244666688884666612121212242424242424244488121212122424242466121212442446661212121224244881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111111111111111111-1111-1-111-1-1111111111-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-11111111111111111-1-1-111-1-111-1-1-1-111111-1-1-1111-1-1-1-11111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-11111-1-111-1-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-1-11111-1111-1-111-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-111-1-1-1-1-11-11-111-1-1-1-111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-11111-1-111-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-1-11-11-1-11111-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-1-111-111-1-1-1-1111111-1-1-111-1-11-1-1-111-1-1111-1-111-1
χ911111111111111-1-111111111111111111111111111-1-1-1-1-1-1-1111111111-1-111111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-1
χ1011111111111111-1-11111111111111111-1-111111111-1-1-1-1-1-1-111111111-1-1-11-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1111
χ1111111111111111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-11111-1-1
χ1311111111111111-1-11111-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-1-111-1-111-1-1-1-11-1-11-11
χ1411111111111111-1-11111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-11-1-1-1-1111111-111-11-1
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1111-1-11-11111-1-1-1-1-1-1-11111-1
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-11111111-1-111-1-111111-1-1-1-11
χ17222222-2-222222200222200-2-2-2-200002222222200000000000-2-2000000-200-200-2-22200000000022000-200000000-200000
χ18222222-2-222222200222200-2-2-2-2000022-2-2222200000000000-2-2000000200-200-2-2-2-2000000000-2-2000200000000200000
χ19222222-2-222222200222200-2-2-2-20000-2-222-2-2-2-200000000000-2-2000000-2002002222000000000-2-2000-200000000200000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-2-2-2-2-200000000000-2-200000020020022-2-200000000022000200000000-200000
χ2122222-1222-12-1-1222-1-1-1-122-122-1-1-1-1-12200-1-1-1-12222222-1-1-1-1-1-122-1-1-1-1022200-1-100-1-1-1-1-1-12-1-1002000-1-1-1-10000000000
χ2222222-1222-12-1-1222-1-1-1-122-122-1-1-1-1-1-2-2001111-2-2-2-2222-1-1-1-1-1-122-1-1-1-10-2-2-20011001111-1-12-1-100-200011110000000000
χ2322222-1222-12-1-1222-1-1-1-1-2-2-122-111112200-1-1-1-1-2-2-2-2-222-1-111-1-1-2-211110-2-2200-1-1001111-1-1-211002000-1-1110000000000
χ2422222-1222-12-1-1222-1-1-1-1-2-2-122-11111-2-20011112222-222-1-111-1-1-2-21111022-2001100-1-1-1-1-1-1-21100-200011-1-10000000000
χ2522222-1222-12-1-12-2-2-1-1-1-122-122-1-1-1-1-12200-1-1-1-12222-2-2-21111-1-122-1-1-1-10-2-2200-1-100-1-1-1-111-21100-200011110000000000
χ2622222-1222-12-1-12-2-2-1-1-1-122-122-1-1-1-1-1-2-2001111-2-2-2-2-2-2-21111-1-122-1-1-1-1022-2001100111111-211002000-1-1-1-10000000000
χ2722222-1222-12-1-12-2-2-1-1-1-1-2-2-122-111112200-1-1-1-1-2-2-2-22-2-211-1-1-1-1-2-21111022200-1-1001111112-1-100-200011-1-10000000000
χ2822222-1222-12-1-12-2-2-1-1-1-1-2-2-122-11111-2-200111122222-2-211-1-1-1-1-2-211110-2-2-2001100-1-1-1-1112-1-1002000-1-1110000000000
χ292222-1222-12-122-122-1-1-1-1222-1-1222220022000000002-1-12222-1-1-1-1-1-1-1-120002200-1-10000-1-1-1-1-100022-10000-1-1-1-1000-100
χ302222-1222-12-122-122-1-1-1-1222-1-12222200-2-2000000002-1-12222-1-1-1-1-1-1-1-1-2000-2-200110000-1-1-1-1-1000-2-2100001111000100
χ312222-1222-12-122-122-1-1-1-1-2-22-1-12-2-2-2-2002200000000-2-1-122-2-2-1-11111112000-2-200-1-10000-1-11110002-2-10000-1-111000100
χ322222-1222-12-122-122-1-1-1-1-2-22-1-12-2-2-2-200-2-200000000-2-1-122-2-2-1-1111111-20002200110000-1-1111000-221000011-1-1000-100
χ332222-1222-12-122-1-2-2-1-1-1-1222-1-122222002200000000-211-2-2-2-2-1-1-1-1-1-1-1-120002200-1-1000011111000-2-2-1000011-1-1000100
χ342222-1222-12-122-1-2-2-1-1-1-1222-1-12222200-2-200000000-211-2-2-2-2-1-1-1-1-1-1-1-1-2000-2-200110000111110002210000-1-111000-100
χ352222-1222-12-122-1-2-2-1-1-1-1-2-22-1-12-2-2-2-2002200000000211-2-222-1-11111112000-2-200-1-1000011-1-1-1000-22-100001111000-100
χ362222-1222-12-122-1-2-2-1-1-1-1-2-22-1-12-2-2-2-200-2-200000000211-2-222-1-1111111-2000220011000011-1-1-10002-210000-1-1-1-1000100
χ3722-2-22200-2-22-22-2002-2-222−2000022−2−22-22i−2i22-2-222−2−20000000002−222−2−20000−i2i2002i−2i22−2−2000002i−2i0000000000−i2i20−i2i2000
χ3822-2-22200-2-22-22-2002-2-222−2000022−2−22-2−2i2i22-2-222−2−20000000002−222−2−20000i2−i200−2i2i22−2−200000−2i2i0000000000i2−i20i2−i2000
χ3922-2-22200-2-22-22-2002-2-222−2000022−2−2-222i−2i-2-222−2−2220000000002−222−2−20000−i2i2002i−2i−2−22200000−2i2i0000000000−i2i20i2−i2000
χ4022-2-22200-2-22-22-2002-2-222−2000022−2−2-22−2i2i-2-222−2−2220000000002−222−2−20000i2−i200−2i2i−2−222000002i−2i0000000000i2−i20−i2i2000
χ4122-2-22200-2-22-22-2002-2-22−220000−2−2222-22i−2i22-2-2−2−222000000000−22−2−2220000i2−i2002i−2i−2−222000002i−2i0000000000i2−i20i2−i2000
χ4222-2-22200-2-22-22-2002-2-22−220000−2−2222-2−2i2i22-2-2−2−222000000000−22−2−2220000−i2i200−2i2i−2−22200000−2i2i0000000000−i2i20−i2i2000
χ4322-2-22200-2-22-22-2002-2-22−220000−2−222-222i−2i-2-22222−2−2000000000−22−2−2220000i2−i2002i−2i22−2−200000−2i2i0000000000i2−i20−i2i2000
χ4422-2-22200-2-22-22-2002-2-22−220000−2−222-22−2i2i-2-22222−2−2000000000−22−2−2220000−i2i200−2i2i22−2−2000002i−2i0000000000−i2i20i2−i2000
χ452-22-2222-2-2-2-22-222-22-22-2002-22-20000000000002i−2i2i−2i02-22-2002-200000002i−2i00000002i−2i2i−2i2-2000000000002i−2i0000000000
χ462-22-2222-2-2-2-22-222-22-22-2002-22-2000000000000−2i2i−2i2i02-22-2002-20000000−2i2i0000000−2i2i−2i2i2-200000000000−2i2i0000000000
χ472-22-2222-2-2-2-22-22-222-22-2002-22-20000000000002i−2i2i−2i0-22-22002-20000000−2i2i00000002i−2i2i−2i-2200000000000−2i2i0000000000
χ482-22-2222-2-2-2-22-22-222-22-2002-22-2000000000000−2i2i−2i2i0-22-22002-200000002i−2i0000000−2i2i−2i2i-22000000000002i−2i0000000000
χ492-22-22-12-2-21-2-1122-2-11-1100-1-2213−33−30000−i3i3−i3i32i−2i2i−2i02-2-113−3-11003−33−302i−2i000−i3i300−ii−ii-1103−3000000−i3i3−ii0000000000
χ502-22-22-12-2-21-2-1122-2-11-1100-1-2213−33−30000i3−i3i3−i3−2i2i−2i2i02-2-113−3-11003−33−30−2i2i000i3−i300i−ii−i-1103−3000000i3−i3i−i0000000000
χ512-22-22-12-2-21-2-1122-2-11-1100-1-221−33−330000−i3i3−i3i3−2i2i−2i2i02-2-11−33-1100−33−330−2i2i000−i3i300i−ii−i-110−33000000−i3i3i−i0000000000
χ522-22-22-12-2-21-2-1122-2-11-1100-1-221−33−330000i3−i3i3−i32i−2i2i−2i02-2-11−33-1100−33−3302i−2i000i3−i300−ii−ii-110−33000000i3−i3−ii0000000000
χ532-22-22-12-2-21-2-112-22-11-1100-1-2213−33−30000−i3i3−i3i32i−2i2i−2i0-221-1−33-11003−33−30−2i2i000−i3i300−ii−ii1-10−33000000i3−i3i−i0000000000
χ542-22-22-12-2-21-2-112-22-11-1100-1-2213−33−30000i3−i3i3−i3−2i2i−2i2i0-221-1−33-11003−33−302i−2i000i3−i300i−ii−i1-10−33000000−i3i3−ii0000000000
χ552-22-22-12-2-21-2-112-22-11-1100-1-221−33−330000−i3i3−i3i3−2i2i−2i2i0-221-13−3-1100−33−3302i−2i000−i3i300i−ii−i1-103−3000000i3−i3−ii0000000000
χ562-22-22-12-2-21-2-112-22-11-1100-1-221−33−330000i3−i3i3−i32i−2i2i−2i0-221-13−3-1100−33−330−2i2i000i3−i300−ii−ii1-103−3000000−i3i3i−i0000000000
χ5744444-2-4-44-24-2-2400-2-2-2-2002-4-4200004400-2-2-2-20000000000022000000000-400220000000000000000000000000000000
χ5844444-2-4-44-24-2-2400-2-2-2-2002-4-420000-4-40022220000000000022000000000400-2-20000000000000000000000000000000
χ594444-24-4-4-24-244-200-2-2-2-200-422-40000004400000000000000022000000-40000000-2-200000000000000200000000000000
χ604444-24-4-4-24-244-200-2-2-2-200-422-4000000-4-400000000000000022000000400000002200000000000000-200000000000000
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
χ6544-4-44-200-4242-2-400-222-222−220000−2−2224-400-2-2222222−22−2200000000022−22−2−2220000000000−2−2220000000000000000000000000
χ6644-4-44-200-4242-2-400-222-222−220000−2−222-440022-2-2−22−22222200000000022−22−2−222000000000022−2−20000000000000000000000000
χ6744-4-44-200-4242-2-400-222-2−2222000022−2−24-400-2-222−22−222222000000000−222222−2−2000000000022−2−20000000000000000000000000
χ6844-4-44-200-4242-2-400-222-2−2222000022−2−2-440022-2-22222−22−22000000000−222222−2−20000000000−2−2220000000000000000000000000
χ6944-4-4-24002-4-2-44200-222-222−2200002222−22−22004i−4i00000000000000000−22−2−2220000−2i22i200−2i2i000000000000000000000i2−i2000000
χ7044-4-4-24002-4-2-44200-222-222−2200002222−22−2200−4i4i00000000000000000−22−2−22200002i2−2i2002i−2i000000000000000000000−i2i2000000
χ7144-4-4-24002-4-2-44200-222-2−22220000−22−222222004i−4i000000000000000002−222−2−200002i2−2i200−2i2i000000000000000000000−i2i2000000
χ7244-4-4-24002-4-2-44200-222-2−22220000−22−22222200−4i4i000000000000000002−222−2−20000−2i22i2002i−2i000000000000000000000i2−i2000000
χ734-44-444-44-4-4-44-44004-44-400-44-4400000000000000000000000-44000000000000000000000000000000000000000000000
χ744-44-44-2-44-42-4-22400-22-220024-4-200000000−2i32i3−2i32i3000000000002-20000000000002i3−2i30000000000000000000000000000000
χ754-44-44-2-44-42-4-22400-22-220024-4-2000000002i3−2i32i3−2i3000000000002-2000000000000−2i32i30000000000000000000000000000000
χ764-44-4-244-42-424-4-24-4-22-220042-2-400000000000000000-224-400-2200000000000000000000-2200000000000000000000000
χ774-44-4-244-42-424-4-2-44-22-220042-2-4000000000000000002-2-4400-22000000000000000000002-200000000000000000000000
χ784-44-4-24-442-424-4-200-22-2200-4-224000000000000000000000002-200000000000000000000000000000000000−2i32i300000000
χ794-44-4-24-442-424-4-200-22-2200-4-224000000000000000000000002-2000000000000000000000000000000000002i3−2i300000000
χ804-44-4-2-24-4222-22-24-41-11-100-22-2223−2323−230000000000000-22-2223−231-100−33−33000000000000001-10−3300000000000000000000
χ814-44-4-2-24-4222-22-24-41-11-100-22-22−2323−23230000000000000-22-22−23231-1003−33−3000000000000001-103−300000000000000000000
χ824-44-4-2-24-4222-22-2-441-11-100-22-2223−2323−2300000000000002-22-2−23231-100−33−3300000000000000-1103−300000000000000000000
χ834-44-4-2-24-4222-22-2-441-11-100-22-22−2323−232300000000000002-22-223−231-1003−33−300000000000000-110−3300000000000000000000
χ844-4-44440044-4-4-4-40044-4-4000000000000000000−2i22i22i2−2i20000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ854-4-44440044-4-4-4-40044-4-40000000000000000002i2−2i2−2i22i200000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ864-4-444-2004-2-422-400-2-2220000006−6−660000−2i32i32i3−2i32i2−2i2−2i22i2000000000006−6−660000000000−i2i2i2−i20000000000000000000000000
χ874-4-444-2004-2-422-400-2-2220000006−6−6600002i3−2i3−2i32i3−2i22i22i2−2i2000000000006−6−660000000000i2−i2−i2i20000000000000000000000000
χ884-4-444-2004-2-422-400-2-222000000−666−60000−2i32i32i3−2i3−2i22i22i2−2i200000000000−666−60000000000i2−i2−i2i20000000000000000000000000
χ894-4-444-2004-2-422-400-2-222000000−666−600002i3−2i3−2i32i32i2−2i2−2i22i200000000000−666−60000000000−i2i2i2−i20000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-40044-44-44002-2-2242−420000−22−222222000000000000000000000−222222−2−2000000000000000000000000000000000000000
χ9288-8-8-4-40044-44-44002-2-22−424200002222−22−2200000000000000000000022−22−2−222000000000000000000000000000000000000000
χ938-88-8-4-4-88444-44-4002-22-2004-44-400000000000000000000000-22000000000000000000000000000000000000000000000
χ948-8-88-4800-484-8-8400-4-4440000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400-4-444440022-2-200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ968-8-88-4-400-4-444440022-2-2000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000

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