Finite Group Databasebeta

← Group #11895499

Character table — Group #11895499

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order1222334466666634466688121212122424242444448888121212124121212121212121224242424242444448812121212242424241212121212444441212121212121224244881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111111111111111111111-1-1-1-1-111111111111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-111111-1-1-1-1-1-111111-1-1-11111-1-1-1-1111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-11111-11111-1-11-1-11-1-1-11-1
χ611111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-111-1-11111-1-1-1-1-1-1-1-11-111-1-111-1-1-1-1-111-1-1-1-11-11-1-111-1-1-111-1111-11
χ711111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-111-1-11111-1-1-1-1-1-111-11-1-111-1-11111-111-1-1-1-1-11-111-1-1111-1-1-111-1-11
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-111-1-111-1-11-1-1-1-111-1111-1-111-1
χ9111111111111111-1-11111111111111111111111111-1-1-1-1-1-1-111111111-1-1111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-111111111-1-11-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-111-1-1-1-1-1-11111-1-11111-1-1-1-11-1-11111-1-11-1-1-1-1111-1-11-1-11-11
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-111111-1-111-1-111-1-1-1-1-1-1111-111-1-111-1-1-1-11-1-111-1-1-11-111-1-111-111-111-11-1
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-11-1-111-1-111111-1-111-1-11-11-1-111-1-11-1-1-11111-1
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-1111111-11111-1-1-1111-1-1-1-11
χ17222222-2-222222220022200-2-2-2-200002222000022220000000-2-200000000-2-20022-2-200000000022000000000-200-200000
χ18222222-2-222222220022200-2-2-2-2000022-2-2000022220000000-2-200000000-2200-2-2-2-2000000000-2-2000000000200200000
χ19222222-2-222222220022200-2-2-2-20000-2-2220000-2-2-2-20000000-2-2000000002-2002222000000000-2-2000000000-200200000
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-2000000002200-2-22200000000022000000000200-200000
χ2122222-1222-12-12-1-122-1-1-1222-1-12-1-1-1-122002222-1-1-1-12-1-1-1-122-1-122-1-1-1-122200000-1-1-1-1-1-12-1-1-1-10020000-1-1-1-1000000000
χ2222222-1222-12-12-1-122-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-211112-1-1-1-122-1-122-1-1-1-1-2-2-2000001111112-1-1-1-100-200001111000000000
χ2322222-1222-12-12-1-122-1-1-1-2-22-1-1211112200-2-2-2-2-1-1-1-1-2-1-11122-1-1-2-21111-2-2200000-1-11111-2-1-1110020000-1-111000000000
χ2422222-1222-12-12-1-122-1-1-1-2-22-1-121111-2-20022221111-2-1-11122-1-1-2-2111122-20000011-1-1-1-1-2-1-11100-2000011-1-1000000000
χ2522222-1222-12-12-1-1-2-2-1-1-1222-1-12-1-1-1-122002222-1-1-1-1-21111-2-2-1-122-1-1-1-1-2-2200000-1-1-1-1-1-1-2111100-200001111000000000
χ2622222-1222-12-12-1-1-2-2-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-21111-21111-2-2-1-122-1-1-1-122-200000111111-211110020000-1-1-1-1000000000
χ2722222-1222-12-12-1-1-2-2-1-1-1-2-22-1-1211112200-2-2-2-2-1-1-1-1211-1-1-2-2-1-1-2-2111122200000-1-11111211-1-100-2000011-1-1000000000
χ2822222-1222-12-12-1-1-2-2-1-1-1-2-22-1-121111-2-20022221111211-1-1-2-2-1-1-2-21111-2-2-20000011-1-1-1-1211-1-10020000-1-111000000000
χ292222-1222-12-12-12-122-1-1-122-122-1222200220000000022222-1-1-1-1-1-1-1-1-1-1000222-1-1000000-1-1-1-1-100022-1-10000-1-1-1000-100
χ302222-1222-12-12-12-122-1-1-122-122-1222200-2-20000000022222-1-1-1-1-1-1-1-1-1-1000-2-2-211000000-1-1-1-1-1000-2-2110000111000100
χ312222-1222-12-12-12-122-1-1-1-2-2-122-1-2-2-2-2002200000000-222-2-2-1-1-1-11111110002-2-2-1-10000001-1-1110002-2-1-10000-111000100
χ322222-1222-12-12-12-122-1-1-1-2-2-122-1-2-2-2-200-2-200000000-222-2-2-1-1-1-1111111000-222110000001-1-111000-221100001-1-1000-100
χ332222-1222-12-12-12-1-2-2-1-1-122-122-12222002200000000-2-2-2-2-211-1-1-1-1-1-1-1-1000222-1-100000011111000-2-2110000-1-1-1000100
χ342222-1222-12-12-12-1-2-2-1-1-122-122-1222200-2-200000000-2-2-2-2-211-1-1-1-1-1-1-1-1000-2-2-2110000001111100022-1-10000111000-100
χ352222-1222-12-12-12-1-2-2-1-1-1-2-2-122-1-2-2-2-20022000000002-2-22211-1-11111110002-2-2-1-1000000-111-1-1000-22110000-111000-100
χ362222-1222-12-12-12-1-2-2-1-1-1-2-2-122-1-2-2-2-200-2-2000000002-2-22211-1-1111111000-22211000000-111-1-10002-2-1-100001-1-1000100
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
χ4122-2-2220022-2-2-2-22002-2-2−220000−2−2222-22-2−2−22222-2-2000000000−22−2−2220000−222-200−2−222000002-20000000000−220−22000
χ4222-2-2220022-2-2-2-22002-2-2−220000−2−2222-2-22−2−22222-2-2000000000−22−2−22200002−2-2200−2−22200000-2200000000002−202−2000
χ4322-2-2220022-2-2-2-22002-2-2−220000−2−222-222-222−2−2-2-222000000000−22−2−2220000−222-20022−2−200000-220000000000−2202−2000
χ4422-2-2220022-2-2-2-22002-2-2−220000−2−222-22-2222−2−2-2-222000000000−22−2−22200002−2-220022−2−2000002-200000000002−20−22000
χ452-22-222-22-2-22-2-2222i−2i-22-200-22-22000000002i−2i2i−2i000002i−2i002i−2i-220000002-2000000002i−2i2i−2i02i−2i000000000002-2000000000
χ462-22-222-22-2-22-2-2222i−2i-22-200-22-2200000000−2i2i−2i2i000002i−2i002i−2i-22000000-2200000000−2i2i−2i2i02i−2i00000000000-22000000000
χ472-22-222-22-2-22-2-222−2i2i-22-200-22-22000000002i−2i2i−2i00000−2i2i00−2i2i-22000000-22000000002i−2i2i−2i0−2i2i00000000000-22000000000
χ482-22-222-22-2-22-2-222−2i2i-22-200-22-2200000000−2i2i−2i2i00000−2i2i00−2i2i-220000002-200000000−2i2i−2i2i0−2i2i000000000002-2000000000
χ492-22-22-1-22-2121-2-1-12i−2i1-1100-2-112−i3i3−i3i300002i−2i2i−2i3−33−30−ii3−32i−2i1-100−i3i3−i3i32-20000003−3−ii−ii0−ii3−30000000−i3i3-11000000000
χ502-22-22-1-22-2121-2-1-12i−2i1-1100-2-112−i3i3−i3i30000−2i2i−2i2i−33−330−ii3−32i−2i1-100−i3i3−i3i3-22000000−33i−ii−i0−ii3−30000000i3−i31-1000000000
χ512-22-22-1-22-2121-2-1-12i−2i1-1100-2-112i3−i3i3−i300002i−2i2i−2i−33−330−ii−332i−2i1-100i3−i3i3−i32-2000000−33−ii−ii0−ii−330000000i3−i3-11000000000
χ522-22-22-1-22-2121-2-1-12i−2i1-1100-2-112i3−i3i3−i30000−2i2i−2i2i3−33−30−ii−332i−2i1-100i3−i3i3−i3-220000003−3i−ii−i0−ii−330000000−i3i31-1000000000
χ532-22-22-1-22-2121-2-1-1−2i2i1-1100-2-112−i3i3−i3i300002i−2i2i−2i3−33−30i−i−33−2i2i1-100−i3i3−i3i3-220000003−3−ii−ii0i−i−330000000i3−i31-1000000000
χ542-22-22-1-22-2121-2-1-1−2i2i1-1100-2-112−i3i3−i3i30000−2i2i−2i2i−33−330i−i−33−2i2i1-100−i3i3−i3i32-2000000−33i−ii−i0i−i−330000000−i3i3-11000000000
χ552-22-22-1-22-2121-2-1-1−2i2i1-1100-2-112i3−i3i3−i300002i−2i2i−2i−33−330i−i3−3−2i2i1-100i3−i3i3−i3-22000000−33−ii−ii0i−i3−30000000−i3i31-1000000000
χ562-22-22-1-22-2121-2-1-1−2i2i1-1100-2-112i3−i3i3−i30000−2i2i−2i2i3−33−30i−i3−3−2i2i1-100i3−i3i3−i32-20000003−3i−ii−i0i−i3−30000000i3−i3-11000000000
χ5744444-2-4-44-24-24-2-200-2-2-200-422-4000044000000-2-2-2-200000002200000000-4000002200000000000000000000000000000
χ5844444-2-4-44-24-24-2-200-2-2-200-422-40000-4-4000000222200000002200000000400000-2-200000000000000000000000000000
χ594444-24-4-4-24-24-24-200-2-2-2002-4-420000004400000000000000022000000000-400-2-20000000000000000000000200000000
χ604444-24-4-4-24-24-24-200-2-2-2002-4-42000000-4-400000000000000022000000000400220000000000000000000000-200000000
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
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-4-2-222-2-21122-1-1-1-100000000000000211-1-100000000000000000000
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
χ644444-2-244-2-2-2-2-2-21-4-4111-4-4-2-2-2-22222000000000000422-2-2221122-1-1-1-100000000000000-2-1-11100000000000000000000
χ6544-4-44-2004-2-42-42-200-22222−220000−2−2224-4002222−22−22-2-22200000000022−22−2−2220000000000−2−2220000000000000000000000000
χ6644-4-44-2004-2-42-42-200-22222−220000−2−222-4400−22−22222222-2-200000000022−22−2−222000000000022−2−20000000000000000000000000
χ6744-4-44-2004-2-42-42-200-222−2222000022−2−24-400−22−222222-2-222000000000−222222−2−2000000000022−2−20000000000000000000000000
χ6844-4-44-2004-2-42-42-200-222−2222000022−2−2-44002222−22−2222-2-2000000000−222222−2−20000000000−2−2220000000000000000000000000
χ6944-4-4-2400-242-42-4-200-22222−2200002222−22−22004-400000000000000000−22−2−222000022−22-2200000000000000000000000−22000000
χ7044-4-4-2400-242-42-4-200-22222−2200002222−22−2200-4400000000000000000−22−2−2220000−22222-2000000000000000000000002−2000000
χ7144-4-4-2400-242-42-4-200-222−22220000−22−222222004-4000000000000000002−222−2−20000−2222-22000000000000000000000002−2000000
χ7244-4-4-2400-242-42-4-200-222−22220000−22−22222200-44000000000000000002−222−2−2000022−222-200000000000000000000000−22000000
χ734-44-4444-4-4-44-4-44400-44-4004-44-4000000000000000000000004-4000000000000000000000000000000000000000000000
χ744-44-44-24-4-4242-4-2-2002-220042-2-400000000000023−2323−230000000-2200000000000000−232300000000000000000000000000000
χ754-44-44-24-4-4242-4-2-2002-220042-2-4000000000000−2323−23230000000-220000000000000023−2300000000000000000000000000000
χ764-44-4-244-42-4-2-424-2002-2200-2-44200000000000000000000000-22000000000000000000000000000000−2i32i30000000000000
χ774-44-4-244-42-4-2-424-2002-2200-2-44200000000000000000000000-220000000000000000000000000000002i3−2i30000000000000
χ784-44-4-24-442-4-2-424-24i−4i2-220024-4-2000000000000000004i−4i00−2i2i2-2000000000000000000000−2i2i0000000000000000000000
χ794-44-4-24-442-4-2-424-2−4i4i2-220024-4-200000000000000000−4i4i002i−2i2-20000000000000000000002i−2i0000000000000000000000
χ804-44-4-2-2-4422-222-214i−4i-11-1002-22-2−2i32i3−2i32i30000000000000−2i2i23−23−2i2i-1100i3−i3i3−i3000000000000000i−i−3300000000000000000000
χ814-44-4-2-2-4422-222-214i−4i-11-1002-22-22i3−2i32i3−2i30000000000000−2i2i−2323−2i2i-1100−i3i3−i3i3000000000000000i−i3−300000000000000000000
χ824-44-4-2-2-4422-222-21−4i4i-11-1002-22-2−2i32i3−2i32i300000000000002i−2i−23232i−2i-1100i3−i3i3−i3000000000000000−ii3−300000000000000000000
χ834-44-4-2-2-4422-222-21−4i4i-11-1002-22-22i3−2i32i3−2i300000000000002i−2i23−232i−2i-1100−i3i3−i3i3000000000000000−ii−3300000000000000000000
χ844-4-444400-4-4-444-4400-4-4400000000000000−2i22i22i2−2i200000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ854-4-444400-4-4-444-4400-4-44000000000000002i2−2i2−2i22i2000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ864-4-444-200-42-4-242-20022-2000000i6−i6−i6i60000−2i22i22i2−2i223−23−232300000000000i6−i6−i6i60000000000i2−i2−i2i20000000000000000000000000
χ874-4-444-200-42-4-242-20022-2000000i6−i6−i6i600002i2−2i2−2i22i2−232323−2300000000000i6−i6−i6i60000000000−i2i2i2−i20000000000000000000000000
χ884-4-444-200-42-4-242-20022-2000000−i6i6i6−i60000−2i22i22i2−2i2−232323−2300000000000−i6i6i6−i60000000000i2−i2−i2i20000000000000000000000000
χ894-4-444-200-42-4-242-20022-2000000−i6i6i6−i600002i2−2i2−2i22i223−23−232300000000000−i6i6i6−i60000000000−i2i2i2−i20000000000000000000000000
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
χ938-88-8-4-48-844-444-4200-22-200-44-44000000000000000000000002-2000000000000000000000000000000000000000000000
χ948-8-88-48004-848-4-8-40044-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400444-4-44200-2-220000002i6−2i6−2i62i600000000000000000000000−i6i6i6−i6000000000000000000000000000000000000000
χ968-8-88-4-400444-4-44200-2-22000000−2i62i62i6−2i600000000000000000000000i6−i6−i6i6000000000000000000000000000000000000000

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