Finite Group Databasebeta

← Group #11888046

Character table — Group #11888046

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order122233446666662236668812121212242424244444888812121212466661212121224242424242424448812121212242424246612121244444612121212121224242881244
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1111-11111-1-111-1-11-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1-1-111-11111-1
χ711111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-1-1-1-11-111-1-1-1-111111111-1-1-1-1-1-1-111-1-11111-1-1-111-11-1
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-111-11-1-1-1-111-1-1111-1-11-11
χ911111111111111-1-111111111111111111111111111-1-1-1-1-1-1-11111111111-1-11111111111-1-1-1-1-111-1-1-11-1-1-1-1-1-111111-1-1-1
χ1011111111111111-1-11111111111111111-1-111111111-1-1-1-1-1-1-111111111-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1-1111
χ1111111111111111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-11111-1-111-1-1-1-1-1-1-1-1-1-1-11-1-111111-1-111-1-1-1-111
χ1211111111111111-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1111111-1-11111-1-1
χ1311111111111111-1-11111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111-11-11-1-111-1-1-1-11-1-111-1
χ1411111111111111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111111-111-1-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-11-1-1-1-1-1-1-1111111-1-1111-1-111-1111-1-1-1-1-1-1-1111-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1111111-11-111-1-111111-1-1-11-1
χ17222222-2-222222200222200-2-2-2-200002222000022220000000-2-2000000-2-20000-2-22200000000022000-200000000-200000
χ18222222-2-222222200222200-2-2-2-2000022-2-2000022220000000-2-20000002-20000-2-2-2-2000000000-2-2000200000000200000
χ19222222-2-222222200222200-2-2-2-20000-2-2220000-2-2-2-20000000-2-2000000-2200002222000000000-2-2000-200000000200000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-200000022000022-2-200000000022000200000000-200000
χ2122222-122-12-122-122-1-1-1-1222-12-12222002200000000222-1-122-1-1-1-1-1-1-1-120002200-1-10000-1-1-1-1-100022-10000-1-1-1-1000-100
χ2222222-122-12-122-122-1-1-1-1222-12-1222200-2-200000000222-1-122-1-1-1-1-1-1-1-1-2000-2-200110000-1-1-1-1-1000-2-2100001111000100
χ2322222-122-12-122-122-1-1-1-1-2-22-12-1-2-2-2-2002200000000-222-1-1-2-2-1-11111112000-2-200-1-10000-1-1111000-22-10000-1-111000100
χ2422222-122-12-122-122-1-1-1-1-2-22-12-1-2-2-2-200-2-200000000-222-1-1-2-2-1-1111111-20002200110000-1-11110002-21000011-1-1000-100
χ2522222-122-12-122-1-2-2-1-1-1-1222-12-12222002200000000-2-2-211-2-2-1-1-1-1-1-1-1-120002200-1-1000011111000-2-2-1000011-1-1000100
χ2622222-122-12-122-1-2-2-1-1-1-1222-12-1222200-2-200000000-2-2-211-2-2-1-1-1-1-1-1-1-1-2000-2-200110000111110002210000-1-111000-100
χ2722222-122-12-122-1-2-2-1-1-1-1-2-22-12-1-2-2-2-20022000000002-2-21122-1-11111112000-2-200-1-1000011-1-1-10002-2-100001111000-100
χ2822222-122-12-122-1-2-2-1-1-1-1-2-22-12-1-2-2-2-200-2-2000000002-2-21122-1-1111111-2000220011000011-1-1-1000-2210000-1-1-1-1000100
χ292222-12222-12-1-1222-1-1-1-122-12-12-1-1-1-122002222-1-1-1-12-1-122-1-1-1-122-1-1-1-1022200-1-100-1-1-1-1-1-12-1-1002000-1-1-1-10000000000
χ302222-12222-12-1-1222-1-1-1-122-12-12-1-1-1-1-2-200-2-2-2-211112-1-122-1-1-1-122-1-1-1-10-2-2-20011001111-1-12-1-100-200011110000000000
χ312222-12222-12-1-1222-1-1-1-1-2-2-12-1211112200-2-2-2-2-1-1-1-1-2-1-12211-1-1-2-2111102-2-200-1-1001111-1-1-211002000-1-1110000000000
χ322222-12222-12-1-1222-1-1-1-1-2-2-12-121111-2-20022221111-2-1-12211-1-1-2-211110-222001100-1-1-1-1-1-1-21100-200011-1-10000000000
χ332222-12222-12-1-12-2-2-1-1-1-122-12-12-1-1-1-122002222-1-1-1-1-211-2-211-1-122-1-1-1-102-2-200-1-100-1-1-1-111-21100-200011110000000000
χ342222-12222-12-1-12-2-2-1-1-1-122-12-12-1-1-1-1-2-200-2-2-2-21111-211-2-211-1-122-1-1-1-10-222001100111111-211002000-1-1-1-10000000000
χ352222-12222-12-1-12-2-2-1-1-1-1-2-2-12-1211112200-2-2-2-2-1-1-1-1211-2-2-1-1-1-1-2-21111022200-1-1001111112-1-100-200011-1-10000000000
χ362222-12222-12-1-12-2-2-1-1-1-1-2-2-12-121111-2-20022221111211-2-2-1-1-1-1-2-211110-2-2-2001100-1-1-1-1112-1-1002000-1-1110000000000
χ372-22-22200-2-222-2-20022-2-2−i2i20000−i2−i2i2i22-22i−2i−i2−i2i2i222-2-2000000000−i2i2−i2−i2i2i200002−2002i−2i−i2−i2i2i2000002i−2i00000000002−202−2000
χ382-22-22200-2-222-2-20022-2-2−i2i20000−i2−i2i2i22-2−2i2i−i2−i2i2i222-2-2000000000−i2i2−i2−i2i2i20000−2200−2i2i−i2−i2i2i200000−2i2i0000000000−220−22000
χ392-22-22200-2-222-2-20022-2-2−i2i20000−i2−i2i2i2-222i−2ii2i2−i2−i2-2-222000000000−i2i2−i2−i2i2i200002−2002i−2ii2i2−i2−i200000−2i2i00000000002−20−22000
χ402-22-22200-2-222-2-20022-2-2−i2i20000−i2−i2i2i2-22−2i2ii2i2−i2−i2-2-222000000000−i2i2−i2−i2i2i20000−2200−2i2ii2i2−i2−i2000002i−2i0000000000−2202−2000
χ412-22-22200-2-222-2-20022-2-2i2−i20000i2i2−i2−i22-22i−2ii2i2−i2−i222-2-2000000000i2−i2i2i2−i2−i20000−22002i−2ii2i2−i2−i2000002i−2i0000000000−220−22000
χ422-22-22200-2-222-2-20022-2-2i2−i20000i2i2−i2−i22-2−2i2ii2i2−i2−i222-2-2000000000i2−i2i2i2−i2−i200002−200−2i2ii2i2−i2−i200000−2i2i00000000002−202−2000
χ432-22-22200-2-222-2-20022-2-2i2−i20000i2i2−i2−i2-222i−2i−i2−i2i2i2-2-222000000000i2−i2i2i2−i2−i20000−22002i−2i−i2−i2i2i200000−2i2i0000000000−2202−2000
χ442-22-22200-2-222-2-20022-2-2i2−i20000i2i2−i2−i2-22−2i2i−i2−i2i2i2-2-222000000000i2−i2i2i2−i2−i200002−200−2i2i−i2−i2i2i2000002i−2i00000000002−20−22000
χ452-2-22222-2-22-2-2-222-22-2-220022-2-2000000002i−2i2i−2i000002-22-200-22000000002i−2i0000002i−2i2i−2i2-2000000000002i−2i0000000000
χ462-2-22222-2-22-2-2-222-22-2-220022-2-200000000−2i2i−2i2i000002-22-200-2200000000−2i2i000000−2i2i−2i2i2-200000000000−2i2i0000000000
χ472-2-22222-2-22-2-2-22-222-2-220022-2-2000000002i−2i2i−2i00000-22-2200-2200000000−2i2i0000002i−2i2i−2i-2200000000000−2i2i0000000000
χ482-2-22222-2-22-2-2-22-222-2-220022-2-200000000−2i2i−2i2i00000-22-2200-22000000002i−2i000000−2i2i−2i2i-22000000000002i−2i0000000000
χ492-2-22-122-2-2-1-21122-2-111-100-121-2−i3i3−i3i300002i−2i2i−2i3−33−30-112-2−i3i31-100−i3i3−i3i3002i−2i003−300−ii−ii-110−i3i30000003−3−ii0000000000
χ502-2-22-122-2-2-1-21122-2-111-100-121-2−i3i3−i3i30000−2i2i−2i2i−33−330-112-2−i3i31-100−i3i3−i3i300−2i2i00−3300i−ii−i-110−i3i3000000−33i−i0000000000
χ512-2-22-122-2-2-1-21122-2-111-100-121-2i3−i3i3−i300002i−2i2i−2i−33−330-112-2i3−i31-100i3−i3i3−i3002i−2i00−3300−ii−ii-110i3−i3000000−33−ii0000000000
χ522-2-22-122-2-2-1-21122-2-111-100-121-2i3−i3i3−i30000−2i2i−2i2i3−33−30-112-2i3−i31-100i3−i3i3−i300−2i2i003−300i−ii−i-110i3−i30000003−3i−i0000000000
χ532-2-22-122-2-2-1-2112-22-111-100-121-2−i3i3−i3i300002i−2i2i−2i3−33−301-1-22i3−i31-100−i3i3−i3i300−2i2i003−300−ii−ii1-10i3−i3000000−33i−i0000000000
χ542-2-22-122-2-2-1-2112-22-111-100-121-2−i3i3−i3i30000−2i2i−2i2i−33−3301-1-22i3−i31-100−i3i3−i3i3002i−2i00−3300i−ii−i1-10i3−i30000003−3−ii0000000000
χ552-2-22-122-2-2-1-2112-22-111-100-121-2i3−i3i3−i300002i−2i2i−2i−33−3301-1-22−i3i31-100i3−i3i3−i300−2i2i00−3300−ii−ii1-10−i3i30000003−3i−i0000000000
χ562-2-22-122-2-2-1-2112-22-111-100-121-2i3−i3i3−i30000−2i2i−2i2i3−33−301-1-22−i3i31-100i3−i3i3−i3002i−2i003−300i−ii−i1-10−i3i3000000−33−ii0000000000
χ5744444-2-4-4-24-244-200-2-2-2-200-42-420000004400000000000000022000000-40000000-2-200000000000000200000000000000
χ5844444-2-4-4-24-244-200-2-2-2-200-42-42000000-4-400000000000000022000000400000002200000000000000-200000000000000
χ594444-24-4-44-24-2-2400-2-2-2-2002-42-4000044000000-2-2-2-20000000220000000-40000220000000000000000000000000000000
χ604444-24-4-44-24-2-2400-2-2-2-2002-42-40000-4-40000002222000000022000000040000-2-20000000000000000000000000000000
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
χ6544-4-444004-4-4-44-4004-44-40000000000000022−22−22220000000000000000000000000000022−22−22220000000000000000000000000
χ6644-4-444004-4-4-44-4004-44-400000000000000−222222−2200000000000000000000000000000−222222−220000000000000000000000000
χ6744-4-4-240042-42-2-400-22-220000006−6−66000022−22−2222−232323−23000000000006−6−660000000000−222−20000000000000000000000000
χ6844-4-4-240042-42-2-400-22-220000006−6−660000−222222−2223−23−2323000000000006−6−6600000000002−2−220000000000000000000000000
χ6944-4-4-240042-42-2-400-22-22000000−666−6000022−22−222223−23−232300000000000−666−60000000000−222−20000000000000000000000000
χ7044-4-4-240042-42-2-400-22-22000000−666−60000−222222−22−232323−2300000000000−666−600000000002−2−220000000000000000000000000
χ714-44-44-2002-4-24-4200-2-222−2i22i20000−2i2−2i22i22i2004i−4i00000000000000000i2−i2i2i2−i2−i2000022−2200−2i2i000000000000000000000−22000000
χ724-44-44-2002-4-24-4200-2-222−2i22i20000−2i2−2i22i22i200−4i4i00000000000000000i2−i2i2i2−i2−i20000−2222002i−2i0000000000000000000002−2000000
χ734-44-44-2002-4-24-4200-2-2222i2−2i200002i22i2−2i2−2i2004i−4i00000000000000000−i2i2−i2−i2i2i20000−222200−2i2i0000000000000000000002−2000000
χ744-44-44-2002-4-24-4200-2-2222i2−2i200002i22i2−2i2−2i200−4i4i00000000000000000−i2i2−i2−i2i2i2000022−22002i−2i000000000000000000000−22000000
χ754-44-4-2400-424-22-400-2-222−2i22i20000i2i2−i2−i24-400−2i2−2i22i22i2-2-222000000000−2i22i2i2i2−i2−i20000000000i2i2−i2−i20000000000000000000000000
χ764-44-4-2400-424-22-400-2-222−2i22i20000i2i2−i2−i2-44002i22i2−2i2−2i222-2-2000000000−2i22i2i2i2−i2−i20000000000−i2−i2i2i20000000000000000000000000
χ774-44-4-2400-424-22-400-2-2222i2−2i20000−i2−i2i2i24-4002i22i2−2i2−2i2-2-2220000000002i2−2i2−i2−i2i2i20000000000−i2−i2i2i20000000000000000000000000
χ784-44-4-2400-424-22-400-2-2222i2−2i20000−i2−i2i2i2-4400−2i2−2i22i22i222-2-20000000002i2−2i2−i2−i2i2i20000000000i2i2−i2−i20000000000000000000000000
χ794-4-4444-44-44-4-4-44004-4-4400-4-444000000000000000000000004-4000000000000000000000000000000000000000000000
χ804-4-444-24-4242-4-4-24-4-222-2004-2-42000000000000000004-4-22002-200000000000000000000-2200000000000000000000000
χ814-4-444-24-4242-4-4-2-44-222-2004-2-4200000000000000000-442-2002-2000000000000000000002-200000000000000000000000
χ824-4-444-2-44242-4-4-200-222-200-424-200000000000000000000000-2200000000000000000000000000000000000−2i32i300000000
χ834-4-444-2-44242-4-4-200-222-200-424-200000000000000000000000-22000000000000000000000000000000000002i3−2i300000000
χ844-4-44-24-44-4-2-422400-222-2002-4-2400000000000023−2323−230000000-22000000000000−23230000000000000000000000000000000
χ854-4-44-24-44-4-2-422400-222-2002-4-24000000000000−2323−23230000000-2200000000000023−230000000000000000000000000000000
χ864-4-44-2-24-42-2222-24-41-1-1100-2-222−2i32i3−2i32i30000000000000-22-22−2i32i3-1100i3−i3i3−i3000000000000001-10i3−i300000000000000000000
χ874-4-44-2-24-42-2222-24-41-1-1100-2-2222i3−2i32i3−2i30000000000000-22-222i3−2i3-1100−i3i3−i3i3000000000000001-10−i3i300000000000000000000
χ884-4-44-2-24-42-2222-2-441-1-1100-2-222−2i32i3−2i32i300000000000002-22-22i3−2i3-1100i3−i3i3−i300000000000000-110−i3i300000000000000000000
χ894-4-44-2-24-42-2222-2-441-1-1100-2-2222i3−2i32i3−2i300000000000002-22-2−2i32i3-1100−i3i3−i3i300000000000000-110i3−i300000000000000000000
χ908888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-88-400-4-84-88400-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-4444-44002-22-200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ9388-8-8-4-400-4444-44002-22-2000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000
χ948-88-8-4-40044-4-4440022-2-2−4i24i200002i22i2−2i2−2i20000000000000000000002i2−2i2−i2−i2i2i2000000000000000000000000000000000000000
χ958-88-8-4-40044-4-4440022-2-24i2−4i20000−2i2−2i22i22i2000000000000000000000−2i22i2i2i2−i2−i2000000000000000000000000000000000000000
χ968-8-88-4-4-884-4444-4002-2-220044-4-4000000000000000000000002-2000000000000000000000000000000000000000000000

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