Finite Group Databasebeta

← Group #11895656

Character table — Group #11895656

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order12223344666666344666881212121224242424444488881212121226612121212121224242424242444448812121212242424246661212444441212121212121224244881224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1111111111111111111111111-111-1-1-1-111111111111-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-11-1-11111-1-1-1-1-1-111111-1-11-11-1-1-1-111111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-11111-11111-1-1111-1-11-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1111111-1-1-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-111-1-111-111-1-1-1-1-111-11111-1
χ711111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1111-1-111-1-11111-1-1-111-1-1-1-11-1-111111-1-1-111-11-1
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-111111-1-1-1-111-1-1-1111-1-11-11
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
χ10111111111111111-1-1111111111111111-1-111111111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1111111-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-1-1111
χ11111111111111111-1-11111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-1-1-111
χ12111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-11111-1-1
χ13111111111111111-1-1111-1-11111-1-1-1-11111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11111-1-11111-1-1-1-1111-1-1111-1-1-1-1111-1-1-1-11-1-111-1
χ14111111111111111-1-1111-1-11111-1-1-1-111-1-1-1-1-1-11111111-1-1-1-111-1-1-1-1-1-11-11111-1-111-1-1-1-1111-1-1-1-1-1-11-1-111-11111-111-1-11
χ15111111111111111-1-1111-1-11111-1-1-1-1-1-1111111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-11-1-1-1-111-1-11111111-1-1-1-111-111-1-11-1-1-1-1-1111-11
χ16111111111111111-1-1111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111-1-111-11111-1-1-111111-1-1-11-1
χ17222222-2-222222220022200-2-2-2-200002222000022220000000-2-2000000-2-2000022-2-2000000000220000000-20000-200000
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
χ20222222-2-222222220022200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-2000000220000-2-22200000000022000000020000-200000
χ2122222-1222-122-1-1-122-1-1-1222-1-12-1-1-1-122002222-1-1-1-12-1-1-1-122-1-122-1-1-1-120220000-1-1-1-1-1-12-1-1-1-100020-1-1-1-100000000000
χ2222222-1222-122-1-1-122-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-211112-1-1-1-122-1-122-1-1-1-1-20-2-200001111112-1-1-1-1000-20111100000000000
χ2322222-1222-122-1-1-122-1-1-1-2-22-1-1211112200-2-2-2-2-1-1-1-1-211-1-122-1-1-2-2111120-2-20000-1-11111-211-1-100020-1-11100000000000
χ2422222-1222-122-1-1-122-1-1-1-2-22-1-121111-2-20022221111-211-1-122-1-1-2-21111-2022000011-1-1-1-1-211-1-1000-2011-1-100000000000
χ2522222-1222-122-1-1-1-2-2-1-1-1222-1-12-1-1-1-122002222-1-1-1-1-21111-2-2-1-122-1-1-1-120-2-20000-1-1-1-1-1-1-21111000-20111100000000000
χ2622222-1222-122-1-1-1-2-2-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-21111-21111-2-2-1-122-1-1-1-1-20220000111111-2111100020-1-1-1-100000000000
χ2722222-1222-122-1-1-1-2-2-1-1-1-2-22-1-1211112200-2-2-2-2-1-1-1-12-1-111-2-2-1-1-2-2111120220000-1-111112-1-111000-2011-1-100000000000
χ2822222-1222-122-1-1-1-2-2-1-1-1-2-22-1-121111-2-200222211112-1-111-2-2-1-1-2-21111-20-2-2000011-1-1-1-12-1-11100020-1-11100000000000
χ292222-1222-12-1-122-122-1-1-122-122-1222200220000000022222-1-1-1-1-1-1-1-1-1-1020022-1-1000000-1-1-1-1-1002020000-1-1-1-1-1000-100
χ302222-1222-12-1-122-122-1-1-122-122-1222200-2-20000000022222-1-1-1-1-1-1-1-1-1-10-200-2-211000000-1-1-1-1-100-20-2000011111000100
χ312222-1222-12-1-122-122-1-1-1-2-2-122-1-2-2-2-2002200000000-2-2-222-1-1-1-11111110200-2-2-1-1000000111-1-100-2020000-1-1-111000100
χ322222-1222-12-1-122-122-1-1-1-2-2-122-1-2-2-2-200-2-200000000-2-2-222-1-1-1-11111110-2002211000000111-1-10020-20000111-1-1000-100
χ332222-1222-12-1-122-1-2-2-1-1-122-122-12222002200000000-2-2-2-2-211-1-1-1-1-1-1-1-1020022-1-10000001111100-20-20000-111-1-1000100
χ342222-1222-12-1-122-1-2-2-1-1-122-122-1222200-2-200000000-2-2-2-2-211-1-1-1-1-1-1-1-10-200-2-211000000111110020200001-1-111000-100
χ352222-1222-12-1-122-1-2-2-1-1-1-2-2-122-1-2-2-2-2002200000000222-2-211-1-11111110200-2-2-1-1000000-1-1-1110020-20000-11111000-100
χ362222-1222-12-1-122-1-2-2-1-1-1-2-2-122-1-2-2-2-200-2-200000000222-2-211-1-11111110-2002211000000-1-1-11100-20200001-1-1-1-1000100
χ3722-2-222-22-222-2-2-222-2-2-2200-22-22000000002i2i−2i−2i00000002-22-2-22000000002i−2i0000002i2i−2i−2i0002-200000002i−2i00000000000
χ3822-2-222-22-222-2-2-222-2-2-2200-22-2200000000−2i−2i2i2i00000002-22-2-2200000000−2i2i000000−2i−2i2i2i0002-20000000−2i2i00000000000
χ3922-2-222-22-222-2-2-22-22-2-2200-22-22000000002i2i−2i−2i0000000-22-22-2200000000−2i2i0000002i2i−2i−2i000-220000000−2i2i00000000000
χ4022-2-222-22-222-2-2-22-22-2-2200-22-2200000000−2i−2i2i2i0000000-22-22-22000000002i−2i000000−2i−2i2i2i000-2200000002i−2i00000000000
χ4122-2-22-1-22-2-12-211-12-211-100-2-112−i3−i3i3i300002i2i−2i−2i33−3−30−i3i3-112-21-100−i3−i3i3i3002i−2i00003−3−i−iii0−i3i3-11000003−3−ii00000000000
χ4222-2-22-1-22-2-12-211-12-211-100-2-112−i3−i3i3i30000−2i−2i2i2i−3−3330−i3i3-112-21-100−i3−i3i3i300−2i2i0000−33ii−i−i0−i3i3-1100000−33i−i00000000000
χ4322-2-22-1-22-2-12-211-12-211-100-2-112i3i3−i3−i300002i2i−2i−2i−3−3330i3−i3-112-21-100i3i3−i3−i3002i−2i0000−33−i−iii0i3−i3-1100000−33−ii00000000000
χ4422-2-22-1-22-2-12-211-12-211-100-2-112i3i3−i3−i30000−2i−2i2i2i33−3−30i3−i3-112-21-100i3i3−i3−i300−2i2i00003−3ii−i−i0i3−i3-11000003−3i−i00000000000
χ4522-2-22-1-22-2-12-211-1-2211-100-2-112−i3−i3i3i300002i2i−2i−2i33−3−30i3−i31-1-221-100−i3−i3i3i300−2i2i00003−3−i−iii0i3−i31-100000−33i−i00000000000
χ4622-2-22-1-22-2-12-211-1-2211-100-2-112−i3−i3i3i30000−2i−2i2i2i−3−3330i3−i31-1-221-100−i3−i3i3i3002i−2i0000−33ii−i−i0i3−i31-1000003−3−ii00000000000
χ4722-2-22-1-22-2-12-211-1-2211-100-2-112i3i3−i3−i300002i2i−2i−2i−3−3330−i3i31-1-221-100i3i3−i3−i300−2i2i0000−33−i−iii0−i3i31-1000003−3i−i00000000000
χ4822-2-22-1-22-2-12-211-1-2211-100-2-112i3i3−i3−i30000−2i−2i2i2i33−3−30−i3i31-1-221-100i3i3−i3−i3002i−2i00003−3ii−i−i0−i3i31-100000−33−ii00000000000
χ492-22-22200-2-2-222-22002-2-2−i2i20000−i2i2−i2i22i−2i2i−2i2−22−22i−2i2i−2i000000000−i2i2−i2i2−i2i200002−22i−2i002−22−2000002-200000000002−20−i2i2000
χ502-22-22200-2-2-222-22002-2-2−i2i20000−i2i2−i2i22i−2i−2i2i2−22−22i−2i2i−2i000000000−i2i2−i2i2−i2i20000−22−2i2i002−22−200000-220000000000−220i2−i2000
χ512-22-22200-2-2-222-22002-2-2−i2i20000−i2i2−i2i2−2i2i2i−2i−22−22−2i2i−2i2i000000000−i2i2−i2i2−i2i200002−22i−2i00−22−2200000-2200000000002−20i2−i2000
χ522-22-22200-2-2-222-22002-2-2−i2i20000−i2i2−i2i2−2i2i−2i2i−22−22−2i2i−2i2i000000000−i2i2−i2i2−i2i20000−22−2i2i00−22−22000002-20000000000−220−i2i2000
χ532-22-22200-2-2-222-22002-2-2i2−i20000i2−i2i2−i22i−2i2i−2i−22−222i−2i2i−2i000000000i2−i2i2−i2i2−i20000−222i−2i00−22−22000002-20000000000−220i2−i2000
χ542-22-22200-2-2-222-22002-2-2i2−i20000i2−i2i2−i22i−2i−2i2i−22−222i−2i2i−2i000000000i2−i2i2−i2i2−i200002−2−2i2i00−22−2200000-2200000000002−20−i2i2000
χ552-22-22200-2-2-222-22002-2-2i2−i20000i2−i2i2−i2−2i2i2i−2i2−22−2−2i2i−2i2i000000000i2−i2i2−i2i2−i20000−222i−2i002−22−200000-220000000000−220−i2i2000
χ562-22-22200-2-2-222-22002-2-2i2−i20000i2−i2i2−i2−2i2i−2i2i2−22−2−2i2i−2i2i000000000i2−i2i2−i2i2−i200002−2−2i2i002−22−2000002-200000000002−20i2−i2000
χ5744444-2-4-44-244-2-2-200-2-2-200-422-4000044000000-2-2-2-2000000022000000-400000002200000000000000000000000000000
χ5844444-2-4-44-244-2-2-200-2-2-200-422-40000-4-4000000222200000002200000040000000-2-200000000000000000000000000000
χ594444-24-4-4-24-2-244-200-2-2-2002-4-4200000044000000000000000220000000-40000-2-20000000000000000000020000000000
χ604444-24-4-4-24-2-244-200-2-2-2002-4-42000000-4-4000000000000000220000000400002200000000000000000000-20000000000
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
χ624444-2-244-2-2-2-2-2-2144111-4-4-2-2-2-22222000000000000-422-2-2-2-21122-1-1-1-1000000000000002-1-11100000000000000000000
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
χ6544-4-4444-4-444-4-4-4400-4-44004-44-4000000000000000000000004-4000000000000000000000000000000000000000000000
χ6644-4-44-24-4-4-24-422-20022-20042-2-40000000000002323−23−230000000-2200000000000000−232300000000000000000000000000000
χ6744-4-44-24-4-4-24-422-20022-20042-2-4000000000000−23−2323230000000-220000000000000023−2300000000000000000000000000000
χ6844-4-4-244-424-22-4-4-20022-200-2-44200000000000000000000000-220000000000000000000000000000000000023−2300000000
χ6944-4-4-244-424-22-4-4-20022-200-2-44200000000000000000000000-2200000000000000000000000000000000000−232300000000
χ7044-4-4-24-4424-22-4-4-24-422-20024-4-200000000000000000004-4-222-200000000000000000000000-2200000000000000000000
χ7144-4-4-24-4424-22-4-4-2-4422-20024-4-20000000000000000000-442-22-2000000000000000000000002-200000000000000000000
χ7244-4-4-2-2-442-2-222214-4-1-11002-22-2−2i3−2i32i32i30000000000000−2i32i3-22-22-1100i3i3−i3−i3000000000000000i3−i31-100000000000000000000
χ7344-4-4-2-2-442-2-222214-4-1-11002-22-22i32i3−2i3−2i300000000000002i3−2i3-22-22-1100−i3−i3i3i3000000000000000−i3i31-100000000000000000000
χ7444-4-4-2-2-442-2-22221-44-1-11002-22-2−2i3−2i32i32i300000000000002i3−2i32-22-2-1100i3i3−i3−i3000000000000000−i3i3-1100000000000000000000
χ7544-4-4-2-2-442-2-22221-44-1-11002-22-22i32i3−2i3−2i30000000000000−2i32i32-22-2-1100−i3−i3i3i3000000000000000i3−i3-1100000000000000000000
χ764-44-44-200-42-44-22-200-222−2i22i20000i2−i2i2−i24i−4i0022−2222−22−2i2i−2i2i000000000−2i22i2i2−i2i2−i20000000000−22−220000000000000000000000000
χ774-44-44-200-42-44-22-200-222−2i22i20000i2−i2i2−i2−4i4i00−2222−22222i−2i2i−2i000000000−2i22i2i2−i2i2−i200000000002−22−20000000000000000000000000
χ784-44-44-200-42-44-22-200-2222i2−2i20000−i2i2−i2i24i−4i00−2222−2222−2i2i−2i2i0000000002i2−2i2−i2i2−i2i200000000002−22−20000000000000000000000000
χ794-44-44-200-42-44-22-200-2222i2−2i20000−i2i2−i2i2−4i4i0022−2222−222i−2i2i−2i0000000002i2−2i2−i2i2−i2i20000000000−22−220000000000000000000000000
χ804-44-4-24002-42-24-4-200-222−2i22i20000−2i22i2−2i22i2004i−4i00000000000000000i2−i2i2−i2i2−i2000022−22−2i2i00000000000000000000000−22000000
χ814-44-4-24002-42-24-4-200-222−2i22i20000−2i22i2−2i22i200−4i4i00000000000000000i2−i2i2−i2i2−i20000−22222i−2i000000000000000000000002−2000000
χ824-44-4-24002-42-24-4-200-2222i2−2i200002i2−2i22i2−2i2004i−4i00000000000000000−i2i2−i2i2−i2i20000−2222−2i2i000000000000000000000002−2000000
χ834-44-4-24002-42-24-4-200-2222i2−2i200002i2−2i22i2−2i200−4i4i00000000000000000−i2i2−i2i2−i2i2000022−222i−2i00000000000000000000000−22000000
χ844-4-4444004-4-4-4-44400-44-400000000000000−2i22i22i2−2i200000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
χ854-4-4444004-4-4-4-44400-44-4000000000000002i2−2i2−2i22i2000000000000000000000000000002i2−2i2−2i22i20000000000000000000000000
χ864-4-444-20042-4-42-2-2002-220000006−6−660000−2i22i22i2−2i22i3−2i3−2i32i3000000000006−6−660000000000i2−i2−i2i20000000000000000000000000
χ874-4-444-20042-4-42-2-2002-220000006−6−6600002i2−2i2−2i22i2−2i32i32i3−2i3000000000006−6−660000000000−i2i2i2−i20000000000000000000000000
χ884-4-444-20042-4-42-2-2002-22000000−666−60000−2i22i22i2−2i2−2i32i32i3−2i300000000000−666−60000000000i2−i2−i2i20000000000000000000000000
χ894-4-444-20042-4-42-2-2002-22000000−666−600002i2−2i2−2i22i22i3−2i3−2i32i300000000000−666−60000000000−i2i2i2−i20000000000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-420022200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4-48-84-4-4444200-2-2200-44-44000000000000000000000002-2000000000000000000000000000000000000000000000
χ928-88-8-4-400444-4-442002-2-2−4i24i200002i2−2i22i2−2i20000000000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ938-88-8-4-400444-4-442002-2-24i2−4i20000−2i22i2−2i22i2000000000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000
χ948-8-88-4800-4-844-88-4004-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-8-88-4-400-44444-4200-22-200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ968-8-88-4-400-44444-4200-22-2000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000

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