Finite Group Databasebeta

← Group #11887631

Character table — Group #11887631

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order122233446666663446668812121212242424242244666688884121212121212121224242424242444448812121212242424241212121212224441212121212121224244881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-11111111111111111111111111-11-1-1-1-111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-11-11111-1-1-1-1-1-111111-1-111-1-1-1-1-111111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-111111-11-1-111111-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-111-1-1-111-1-111-1-1-111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-111-1-1-1-11111-111-1-11111-1-1-1-1-1-1111-1-1-111-1-11111-1-1-111-1-11-1-111-1-1111-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-11111-11-111-1-1-1-1-1111-1-111-1
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-11-1-111111-1-1-1
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-111111111-1-1-11-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-111111111-1-1-1-11-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-111-11-111-1-11-1-1-1-11-1-11-11
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-111-1111-1-111-1-1-1-1111-1-1-1-11-1-111-1-1-11111-111-11-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-11-1-1-111-1-11111111-1-1-1-1-111-1-1111-1-1-1-1-11111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-1111-11-1-111-111111-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200002222222200000000000-2-200000000-2-20022-2-2000000000220000000-20000-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2222200000000000-2-2000000002-200-2-2-2-2000000000-2-2000000020000200000
χ19222222-2-222222220022200-2-2-2-20000-2-222-2-2-2-200000000000-2-200000000-22002222000000000-2-20000000-20000200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-2-2-2-2-200000000000-2-2000000002200-2-22200000000022000000020000-200000
χ2122222-122-122-1-12-122-1-1-1222-12-1-1-1-1-12200-1-1-1-12222222-1-1-1-1-1-122-1-1-1-122020000-1-1-1-1-1-12-1-1-1-100002-1-1-1-100000000000
χ2222222-122-122-1-12-122-1-1-1222-12-1-1-1-1-1-2-2001111-2-2-2-2222-1-1-1-1-1-122-1-1-1-1-2-20-200001111112-1-1-1-10000-2111100000000000
χ2322222-122-122-1-12-122-1-1-1-2-22-12-111112200-1-1-1-1-2-2-2-2-22211-1-1-1-1-2-21111-2-2020000-1-11111-211-1-10000211-1-100000000000
χ2422222-122-122-1-12-122-1-1-1-2-22-12-11111-2-20011112222-22211-1-1-1-1-2-21111220-2000011-1-1-1-1-211-1-10000-2-1-11100000000000
χ2522222-122-122-1-12-1-2-2-1-1-1222-12-1-1-1-1-12200-1-1-1-12222-2-2-21111-1-122-1-1-1-1-2-2020000-1-1-1-1-1-1-211110000-2111100000000000
χ2622222-122-122-1-12-1-2-2-1-1-1222-12-1-1-1-1-1-2-2001111-2-2-2-2-2-2-21111-1-122-1-1-1-1220-20000111111-2111100002-1-1-1-100000000000
χ2722222-122-122-1-12-1-2-2-1-1-1-2-22-12-111112200-1-1-1-1-2-2-2-22-2-2-1-111-1-1-2-2111122020000-1-111112-1-1110000-2-1-11100000000000
χ2822222-122-122-1-12-1-2-2-1-1-1-2-22-12-11111-2-200111122222-2-2-1-111-1-1-2-21111-2-20-2000011-1-1-1-12-1-1110000211-1-100000000000
χ292222-12222-1-122-1-122-1-1-122-12-1222220022000000002-1-12222-1-1-1-1-1-1-1-1002022-1-1000000-1-1-1-1-1002200000-1-1-1-1-1000-100
χ302222-12222-1-122-1-122-1-1-122-12-12222200-2-2000000002-1-12222-1-1-1-1-1-1-1-100-20-2-211000000-1-1-1-1-100-2-20000011111000100
χ312222-12222-1-122-1-122-1-1-1-2-2-12-12-2-2-2-2002200000000-2-1-1-2-222-1-11111110020-2-2-1-1000000111-1-1002-200000-1-1-111000100
χ322222-12222-1-122-1-122-1-1-1-2-2-12-12-2-2-2-200-2-200000000-2-1-1-2-222-1-111111100-202211000000111-1-100-2200000111-1-1000-100
χ332222-12222-1-122-1-1-2-2-1-1-122-12-122222002200000000-211-2-2-2-2-1-1-1-1-1-1-1-1002022-1-10000001111100-2-200000-111-1-1000100
χ342222-12222-1-122-1-1-2-2-1-1-122-12-12222200-2-200000000-211-2-2-2-2-1-1-1-1-1-1-1-100-20-2-211000000111110022000001-1-111000-100
χ352222-12222-1-122-1-1-2-2-1-1-1-2-2-12-12-2-2-2-200220000000021122-2-2-1-11111110020-2-2-1-1000000-1-1-11100-2200000-11111000-100
χ362222-12222-1-122-1-1-2-2-1-1-1-2-2-12-12-2-2-2-200-2-20000000021122-2-2-1-111111100-202211000000-1-1-111002-2000001-1-1-1-1000100
χ3722-2-2220022-2-2-2-22002-2-22−2000022−2−22-22-222-2-222−2−20000000002−222−2−200002−22-20022−2−2000002-200000000002−202−2000
χ3822-2-2220022-2-2-2-22002-2-22−2000022−2−22-2-2222-2-222−2−20000000002−222−2−20000−22-220022−2−200000-220000000000−220−22000
χ3922-2-2220022-2-2-2-22002-2-22−2000022−2−2-222-2-2-222−2−2220000000002−222−2−200002−22-200−2−22200000-2200000000002−20−22000
χ4022-2-2220022-2-2-2-22002-2-22−2000022−2−2-22-22-2-222−2−2220000000002−222−2−20000−22-2200−2−222000002-20000000000−2202−2000
χ4122-2-2220022-2-2-2-22002-2-2−220000−2−2222-22-222-2-2−2−222000000000−22−2−2220000−222-200−2−222000002-20000000000−220−22000
χ4222-2-2220022-2-2-2-22002-2-2−220000−2−2222-2-2222-2-2−2−222000000000−22−2−22200002−2-2200−2−22200000-2200000000002−202−2000
χ4322-2-2220022-2-2-2-22002-2-2−220000−2−222-222-2-2-22222−2−2000000000−22−2−2220000−222-20022−2−200000-220000000000−2202−2000
χ4422-2-2220022-2-2-2-22002-2-2−220000−2−222-22-22-2-22222−2−2000000000−22−2−22200002−2-220022−2−2000002-200000000002−20−22000
χ452-2-2222-22-2-22-22-222-2-2-220022-2-20000000000002i−2i2i−2i02-2002-22-20000002i−2i000000002i−2i2i−2i0002-2000002i−2i0000000000000
χ462-2-2222-22-2-22-22-222-2-2-220022-2-2000000000000−2i2i−2i2i02-2002-22-2000000−2i2i00000000−2i2i−2i2i0002-200000−2i2i0000000000000
χ472-2-2222-22-2-22-22-22-22-2-220022-2-20000000000002i−2i2i−2i0-2200-222-2000000−2i2i000000002i−2i2i−2i000-2200000−2i2i0000000000000
χ482-2-2222-22-2-22-22-22-22-2-220022-2-2000000000000−2i2i−2i2i0-2200-222-20000002i−2i00000000−2i2i−2i2i000-22000002i−2i0000000000000
χ492-2-222-1-221-221-1-2-12-211-1002-1-213−33−30000−i3i3−i3i32i−2i2i−2i02-23−3-11-11003−33−32i−2i000000−i3i3−ii−ii03−3-1100000−ii−i3i300000000000
χ502-2-222-1-221-221-1-2-12-211-1002-1-213−33−30000i3−i3i3−i3−2i2i−2i2i02-23−3-11-11003−33−3−2i2i000000i3−i3i−ii−i03−3-1100000i−ii3−i300000000000
χ512-2-222-1-221-221-1-2-12-211-1002-1-21−33−330000−i3i3−i3i3−2i2i−2i2i02-2−33-11-1100−33−33−2i2i000000−i3i3i−ii−i0−33-1100000i−i−i3i300000000000
χ522-2-222-1-221-221-1-2-12-211-1002-1-21−33−330000i3−i3i3−i32i−2i2i−2i02-2−33-11-1100−33−332i−2i000000i3−i3−ii−ii0−33-1100000−iii3−i300000000000
χ532-2-222-1-221-221-1-2-1-2211-1002-1-213−33−30000−i3i3−i3i32i−2i2i−2i0-22−331-1-11003−33−3−2i2i000000−i3i3−ii−ii0−331-100000i−ii3−i300000000000
χ542-2-222-1-221-221-1-2-1-2211-1002-1-213−33−30000i3−i3i3−i3−2i2i−2i2i0-22−331-1-11003−33−32i−2i000000i3−i3i−ii−i0−331-100000−ii−i3i300000000000
χ552-2-222-1-221-221-1-2-1-2211-1002-1-21−33−330000−i3i3−i3i3−2i2i−2i2i0-223−31-1-1100−33−332i−2i000000−i3i3i−ii−i03−31-100000−iii3−i300000000000
χ562-2-222-1-221-221-1-2-1-2211-1002-1-21−33−330000i3−i3i3−i32i−2i2i−2i0-223−31-1-1100−33−33−2i2i000000i3−i3−ii−ii03−31-100000i−i−i3i300000000000
χ5744444-2-4-4-244-2-24-200-2-2-200-42-4200004400-2-2-2-20000000000022000000000-400002200000000000000000000000000000
χ5844444-2-4-4-244-2-24-200-2-2-200-42-420000-4-4002222000000000002200000000040000-2-200000000000000000000000000000
χ594444-24-4-44-2-244-2-200-2-2-2002-42-4000000440000000000000002200000000-4000-2-20000000000000000000020000000000
χ604444-24-4-44-2-244-2-200-2-2-2002-42-4000000-4-4000000000000000220000000040002200000000000000000000-20000000000
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
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-4-2-222-2-21122-1-1-1-1000000000000002-1-11100000000000000000000
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
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000000000422-2-2221122-1-1-1-100000000000000-211-1-100000000000000000000
χ6544-4-44-200-24-422-4-200-22222−220000−2−2224-400-2-2222222−22−2200000000022−22−2−2220000000000−2−2220000000000000000000000000
χ6644-4-44-200-24-422-4-200-22222−220000−2−222-440022-2-2−22−22222200000000022−22−2−222000000000022−2−20000000000000000000000000
χ6744-4-44-200-24-422-4-200-222−2222000022−2−24-400-2-222−22−222222000000000−222222−2−2000000000022−2−20000000000000000000000000
χ6844-4-44-200-24-422-4-200-222−2222000022−2−2-440022-2-22222−22−22000000000−222222−2−20000000000−2−2220000000000000000000000000
χ6944-4-4-24004-22-4-42-200-22222−2200002222−22−22004-400000000000000000−22−2−222000022−22-2200000000000000000000000−22000000
χ7044-4-4-24004-22-4-42-200-22222−2200002222−22−2200-4400000000000000000−22−2−2220000−22222-2000000000000000000000002−2000000
χ7144-4-4-24004-22-4-42-200-222−22220000−22−222222004-4000000000000000002−222−2−20000−2222-22000000000000000000000002−2000000
χ7244-4-4-24004-22-4-42-200-222−22220000−22−22222200-44000000000000000002−222−2−2000022−222-200000000000000000000000−22000000
χ734-44-44400-4-4-44-44400-44-4000000000000000000−2i22i22i2−2i20000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ744-44-44400-4-4-44-44400-44-40000000000000000002i2−2i2−2i22i200000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ754-44-44-2002-4-4-224-2002-220000006−6−660000−2i32i32i3−2i32i2−2i2−2i22i2000000000006−6−660000000000−i2i2i2−i20000000000000000000000000
χ764-44-44-2002-4-4-224-2002-220000006−6−6600002i3−2i3−2i32i3−2i22i22i2−2i2000000000006−6−660000000000i2−i2−i2i20000000000000000000000000
χ774-44-44-2002-4-4-224-2002-22000000−666−60000−2i32i32i3−2i3−2i22i22i2−2i200000000000−666−60000000000i2−i2−i2i20000000000000000000000000
χ784-44-44-2002-4-4-224-2002-22000000−666−600002i3−2i3−2i32i32i2−2i2−2i22i200000000000−666−60000000000−i2i2i2−i20000000000000000000000000
χ794-4-44444-4-4-44-44-4400-4-4400-4-44400000000000000000000000-44000000000000000000000000000000000000000000000
χ804-4-444-24-42-442-2-4-20022-200-424-200000000−2i32i3−2i32i3000000000002-2000000000000002i3−2i300000000000000000000000000000
χ814-4-444-24-42-442-2-4-20022-200-424-2000000002i3−2i32i3−2i3000000000002-200000000000000−2i32i300000000000000000000000000000
χ824-4-44-244-4-42-2-442-20022-2002-4-24000000000000000000000002-20000000000000000000000000000000000023−2300000000
χ834-4-44-244-4-42-2-442-20022-2002-4-24000000000000000000000002-200000000000000000000000000000000000−232300000000
χ844-4-44-24-44-42-2-442-24-422-200-242-400000000000000000-22004-4-2200000000000000000000000-2200000000000000000000
χ854-4-44-24-44-42-2-442-2-4422-200-242-4000000000000000002-200-44-22000000000000000000000002-200000000000000000000
χ864-4-44-2-2-4422-22-2214-4-1-1100-2-22223−2323−230000000000000-2223−23-221-100−33−33000000000000000−331-100000000000000000000
χ874-4-44-2-2-4422-22-2214-4-1-1100-2-222−2323−23230000000000000-22−2323-221-1003−33−30000000000000003−31-100000000000000000000
χ884-4-44-2-2-4422-22-221-44-1-1100-2-22223−2323−2300000000000002-2−23232-21-100−33−330000000000000003−3-1100000000000000000000
χ894-4-44-2-2-4422-22-221-44-1-1100-2-222−2323−232300000000000002-223−232-21-1003−33−3000000000000000−33-1100000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-400-4-444442002-2-242−420000−22−222222000000000000000000000−222222−2−2000000000000000000000000000000000000000
χ9288-8-8-4-400-4-444442002-2-2−424200002222−22−2200000000000000000000022−22−2−222000000000000000000000000000000000000000
χ938-88-8-4800-8448-8-4-4004-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ948-88-8-4-400444-44-4200-22-200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ958-88-8-4-400444-44-4200-22-2000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000
χ968-8-88-4-48-844-44-44200-2-220044-4-400000000000000000000000-22000000000000000000000000000000000000000000000

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