Finite Group Databasebeta

← Group #11895171

Character table — Group #11895171

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222224444444444444444666666666666888888888888888121212121212121212121212121216161616161818242424242424242424242424363636487272
order1222334466666622366688121212122424242444448888121212124666612121212242424242424444488121212122424242466121212444441212121212121224244881244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-111111111111111111111111111-1-1-111-1-1111111111-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1111111111111111-1-1-1111-1-111-1-1-1-111111-1-11-111-1-1-1-11111-1-1-11-1-1
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
χ511111111111111111111-1-11111-1-1-1-11111-1-1-1-11111-11111-1-111-1-1-1-1-1-11-1-11-1-11111-1-1-1-111-1-1-111-111111-1-111-1-11-1-1-1-11
χ611111111111111111111-1-11111-1-1-1-111-1-1-1-1-1-11111-11111-1-111-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-111-1-1-1-1-111-1-111-1-1-1-111-11111-1
χ711111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-11111-1-111-1-1-1-1-1-1-1111-1-1-1-111111111-1-1-1-1-1-1-111-1-11111-1-1-111-11-1
χ811111111111111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-11111-1-111-1-1-1-1-1-1-111-111-1-1-1-1111111-1-1-1111-1-1-1-1-111-1-1111-1-11-11
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
χ1011111111111111-1-11111111111111111-1-111111111-1-1-1-1-1-1-1111111111-1-1-1-1-111-1-11111-1-1-1-1-1-1-11-11-1-1-1-1-111-1-1-1-1-1111
χ1111111111111111-1-111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111111-1-111-1-1-1-111
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
χ1311111111111111-1-11111-1-11111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1111111-1-11-1-111-1-1-1-11-1-111-1
χ1411111111111111-1-11111-1-11111-1-1-1-111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-1-1-1111-11111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1111111-111-1-11
χ1511111111111111-1-11111-1-11111-1-1-1-1-1-1111111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1111-1-111-1111-1-1-1-1-1-1-1111-11
χ1611111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111111-111-111-1-111111-1-1-11-1
χ17222222-2-222222200222200-2-2-2-200002222000022220000000-2-2000000-200-200-2-22200000000022000-200000000-200000
χ18222222-2-222222200222200-2-2-2-2000022-2-2000022220000000-2-2000000-200200-2-2-2-2000000000-2-2000200000000200000
χ19222222-2-222222200222200-2-2-2-20000-2-2220000-2-2-2-20000000-2-2000000200-2002222000000000-2-2000-200000000200000
χ20222222-2-222222200222200-2-2-2-20000-2-2-2-20000-2-2-2-20000000-2-200000020020022-2-200000000022000200000000-200000
χ2122222-1222-122-1-122-1-1-1-1222-1-12-1-1-1-122002222-1-1-1-1222-1-1-1-1-1-122-1-1-1-1222000-1-100-1-1-1-1-1-12-1-1000200-1-1-1-10000000000
χ2222222-1222-122-1-122-1-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-21111222-1-1-1-1-1-122-1-1-1-1-2-2-200011001111-1-12-1-1000-20011110000000000
χ2322222-1222-122-1-122-1-1-1-1-2-22-1-1211112200-2-2-2-2-1-1-1-1-222-1-111-1-1-2-211112-2-2000-1-1001111-1-1-211000200-1-1110000000000
χ2422222-1222-122-1-122-1-1-1-1-2-22-1-121111-2-20022221111-222-1-111-1-1-2-21111-2220001100-1-1-1-1-1-1-211000-20011-1-10000000000
χ2522222-1222-122-1-1-2-2-1-1-1-1222-1-12-1-1-1-122002222-1-1-1-1-2-2-21111-1-122-1-1-1-12-2-2000-1-100-1-1-1-111-211000-20011110000000000
χ2622222-1222-122-1-1-2-2-1-1-1-1222-1-12-1-1-1-1-2-200-2-2-2-21111-2-2-21111-1-122-1-1-1-1-2220001100111111-211000200-1-1-1-10000000000
χ2722222-1222-122-1-1-2-2-1-1-1-1-2-22-1-1211112200-2-2-2-2-1-1-1-12-2-211-1-1-1-1-2-21111222000-1-1001111112-1-1000-20011-1-10000000000
χ2822222-1222-122-1-1-2-2-1-1-1-1-2-22-1-121111-2-200222211112-2-211-1-1-1-1-2-21111-2-2-20001100-1-1-1-1112-1-1000200-1-1110000000000
χ292222-1222-12-1-12222-1-1-1-122-122-122220022000000002-1-12222-1-1-1-1-1-1-1-100022200-1-10000-1-1-1-1-100202-10000-1-1-1-1000-100
χ302222-1222-12-1-12222-1-1-1-122-122-1222200-2-2000000002-1-12222-1-1-1-1-1-1-1-1000-2-2-200110000-1-1-1-1-100-20-2100001111000100
χ312222-1222-12-1-12222-1-1-1-1-2-2-122-1-2-2-2-2002200000000-2-1-122-2-2-1-11111110002-2-200-1-10000-1-111100-202-10000-1-111000100
χ322222-1222-12-1-12222-1-1-1-1-2-2-122-1-2-2-2-200-2-200000000-2-1-122-2-2-1-1111111000-22200110000-1-11110020-21000011-1-1000-100
χ332222-1222-12-1-122-2-2-1-1-1-122-122-12222002200000000-211-2-2-2-2-1-1-1-1-1-1-1-100022200-1-100001111100-20-2-1000011-1-1000100
χ342222-1222-12-1-122-2-2-1-1-1-122-122-1222200-2-200000000-211-2-2-2-2-1-1-1-1-1-1-1-1000-2-2-200110000111110020210000-1-111000-100
χ352222-1222-12-1-122-2-2-1-1-1-1-2-2-122-1-2-2-2-2002200000000211-2-222-1-11111110002-2-200-1-1000011-1-1-10020-2-100001111000-100
χ362222-1222-12-1-122-2-2-1-1-1-1-2-2-122-1-2-2-2-200-2-200000000211-2-222-1-1111111000-2220011000011-1-1-100-20210000-1-1-1-1000100
χ372-22-222-22-222-2-2-22-22-2-2200-22-22000000002i2i−2i−2i000002-22-200-2200000002i−2i00000002i2i−2i−2i2-2000000000002i−2i0000000000
χ382-22-222-22-222-2-2-22-22-2-2200-22-2200000000−2i−2i2i2i000002-22-200-220000000−2i2i0000000−2i−2i2i2i2-200000000000−2i2i0000000000
χ392-22-222-22-222-2-2-2-222-2-2200-22-22000000002i2i−2i−2i00000-22-2200-220000000−2i2i00000002i2i−2i−2i-2200000000000−2i2i0000000000
χ402-22-222-22-222-2-2-2-222-2-2200-22-2200000000−2i−2i2i2i00000-22-2200-2200000002i−2i0000000−2i−2i2i2i-22000000000002i−2i0000000000
χ412-22-22-1-22-2-12-2112-2-111-100-2-112−i3−i3i3i300002i2i−2i−2i33−3−302-2-11−i3i31-100−i3−i3i3i302i−2i0003−300−i−iii-110−i3i30000003−3−ii0000000000
χ422-22-22-1-22-2-12-2112-2-111-100-2-112−i3−i3i3i30000−2i−2i2i2i−3−33302-2-11−i3i31-100−i3−i3i3i30−2i2i000−3300ii−i−i-110−i3i3000000−33i−i0000000000
χ432-22-22-1-22-2-12-2112-2-111-100-2-112i3i3−i3−i300002i2i−2i−2i−3−33302-2-11i3−i31-100i3i3−i3−i302i−2i000−3300−i−iii-110i3−i3000000−33−ii0000000000
χ442-22-22-1-22-2-12-2112-2-111-100-2-112i3i3−i3−i30000−2i−2i2i2i33−3−302-2-11i3−i31-100i3i3−i3−i30−2i2i0003−300ii−i−i-110i3−i30000003−3i−i0000000000
χ452-22-22-1-22-2-12-211-22-111-100-2-112−i3−i3i3i300002i2i−2i−2i33−3−30-221-1i3−i31-100−i3−i3i3i30−2i2i0003−300−i−iii1-10i3−i3000000−33i−i0000000000
χ462-22-22-1-22-2-12-211-22-111-100-2-112−i3−i3i3i30000−2i−2i2i2i−3−3330-221-1i3−i31-100−i3−i3i3i302i−2i000−3300ii−i−i1-10i3−i30000003−3−ii0000000000
χ472-22-22-1-22-2-12-211-22-111-100-2-112i3i3−i3−i300002i2i−2i−2i−3−3330-221-1−i3i31-100i3i3−i3−i30−2i2i000−3300−i−iii1-10−i3i30000003−3i−i0000000000
χ482-22-22-1-22-2-12-211-22-111-100-2-112i3i3−i3−i30000−2i−2i2i2i33−3−30-221-1−i3i31-100i3i3−i3−i302i−2i0003−300ii−i−i1-10−i3i3000000−33−ii0000000000
χ492-2-222200-2-2-222-20022-2-2−i2i20000−i2i2−i2i22-22-2−i2i2−i2i22-22-2000000000−i2i2−i2i2−i2i20000−i2i2002-2−i2i2−i2i2000002-20000000000−i2i20−i2i2000
χ502-2-222200-2-2-222-20022-2-2−i2i20000−i2i2−i2i22-2-22−i2i2−i2i22-22-2000000000−i2i2−i2i2−i2i20000i2−i200-22−i2i2−i2i200000-220000000000i2−i20i2−i2000
χ512-2-222200-2-2-222-20022-2-2−i2i20000−i2i2−i2i2-222-2i2−i2i2−i2-22-22000000000−i2i2−i2i2−i2i20000−i2i2002-2i2−i2i2−i200000-220000000000−i2i20i2−i2000
χ522-2-222200-2-2-222-20022-2-2−i2i20000−i2i2−i2i2-22-22i2−i2i2−i2-22-22000000000−i2i2−i2i2−i2i20000i2−i200-22i2−i2i2−i2000002-20000000000i2−i20−i2i2000
χ532-2-222200-2-2-222-20022-2-2i2−i20000i2−i2i2−i22-22-2i2−i2i2−i22-22-2000000000i2−i2i2−i2i2−i20000i2−i2002-2i2−i2i2−i2000002-20000000000i2−i20i2−i2000
χ542-2-222200-2-2-222-20022-2-2i2−i20000i2−i2i2−i22-2-22i2−i2i2−i22-22-2000000000i2−i2i2−i2i2−i20000−i2i200-22i2−i2i2−i200000-220000000000−i2i20−i2i2000
χ552-2-222200-2-2-222-20022-2-2i2−i20000i2−i2i2−i2-222-2−i2i2−i2i2-22-22000000000i2−i2i2−i2i2−i20000i2−i2002-2−i2i2−i2i200000-220000000000i2−i20−i2i2000
χ562-2-222200-2-2-222-20022-2-2i2−i20000i2−i2i2−i2-22-22−i2i2−i2i2-22-22000000000i2−i2i2−i2i2−i20000−i2i200-22−i2i2−i2i2000002-20000000000−i2i20i2−i2000
χ5744444-2-4-44-244-2-200-2-2-2-200-422-4000044000000-2-2-2-2000000022000000-400000220000000000000000000000000000000
χ5844444-2-4-44-244-2-200-2-2-2-200-422-40000-4-40000002222000000022000000400000-2-20000000000000000000000000000000
χ594444-24-4-4-24-2-24400-2-2-2-2002-4-420000004400000000000000022000000000-40000-2-200000000000000200000000000000
χ604444-24-4-4-24-2-24400-2-2-2-2002-4-42000000-4-400000000000000022000000000400002200000000000000-200000000000000
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
χ6544-4-444004-4-4-4-44004-44-40000000000000022−22−22220000000000000000000000000000022−22−22220000000000000000000000000
χ6644-4-444004-4-4-4-44004-44-400000000000000−222222−2200000000000000000000000000000−222222−220000000000000000000000000
χ6744-4-44-20042-4-42-200-22-220000006−6−66000022−22−2222−232323−23000000000006−6−660000000000−222−20000000000000000000000000
χ6844-4-44-20042-4-42-200-22-220000006−6−660000−222222−2223−23−2323000000000006−6−6600000000002−2−220000000000000000000000000
χ6944-4-44-20042-4-42-200-22-22000000−666−6000022−22−222223−23−232300000000000−666−60000000000−222−20000000000000000000000000
χ7044-4-44-20042-4-42-200-22-22000000−666−60000−222222−22−232323−2300000000000−666−600000000002−2−220000000000000000000000000
χ714-44-4444-4-444-4-4-4004-4-44004-44-4000000000000000000000004-4000000000000000000000000000000000000000000000
χ724-44-44-24-4-4-24-42200-222-20042-2-40000000000002323−23−230000000-22000000000000−23230000000000000000000000000000000
χ734-44-44-24-4-4-24-42200-222-20042-2-4000000000000−23−2323230000000-2200000000000023−230000000000000000000000000000000
χ744-44-4-244-424-22-4-400-222-200-2-44200000000000000000000000-220000000000000000000000000000000000023−2300000000
χ754-44-4-244-424-22-4-400-222-200-2-44200000000000000000000000-2200000000000000000000000000000000000−232300000000
χ764-44-4-24-4424-22-4-44-4-222-20024-4-200000000000000000-224-4002-200000000000000000000-2200000000000000000000000
χ774-44-4-24-4424-22-4-4-44-222-20024-4-2000000000000000002-2-44002-2000000000000000000002-200000000000000000000000
χ784-44-4-2-2-442-2-22224-41-1-11002-22-2−2i3−2i32i32i30000000000000-22-22−2i32i3-1100i3i3−i3−i3000000000000001-10i3−i300000000000000000000
χ794-44-4-2-2-442-2-22224-41-1-11002-22-22i32i3−2i3−2i30000000000000-22-222i3−2i3-1100−i3−i3i3i3000000000000001-10−i3i300000000000000000000
χ804-44-4-2-2-442-2-2222-441-1-11002-22-2−2i3−2i32i32i300000000000002-22-22i3−2i3-1100i3i3−i3−i300000000000000-110−i3i300000000000000000000
χ814-44-4-2-2-442-2-2222-441-1-11002-22-22i32i3−2i3−2i300000000000002-22-2−2i32i3-1100−i3−i3i3i300000000000000-110i3−i300000000000000000000
χ824-4-444-200-42-44-2200-2-222−2i22i20000i2−i2i2−i24-400−2i22i2−2i22i2-22-22000000000−2i22i2i2−i2i2−i20000000000i2−i2i2−i20000000000000000000000000
χ834-4-444-200-42-44-2200-2-222−2i22i20000i2−i2i2−i2-44002i2−2i22i2−2i22-22-2000000000−2i22i2i2−i2i2−i20000000000−i2i2−i2i20000000000000000000000000
χ844-4-444-200-42-44-2200-2-2222i2−2i20000−i2i2−i2i24-4002i2−2i22i2−2i2-22-220000000002i2−2i2−i2i2−i2i20000000000−i2i2−i2i20000000000000000000000000
χ854-4-444-200-42-44-2200-2-2222i2−2i20000−i2i2−i2i2-4400−2i22i2−2i22i22-22-20000000002i2−2i2−i2i2−i2i20000000000i2−i2i2−i20000000000000000000000000
χ864-4-44-24002-42-24-400-2-222−2i22i20000−2i22i2−2i22i2004-400000000000000000i2−i2i2−i2i2−i20000−2i22i200-22000000000000000000000i2−i2000000
χ874-4-44-24002-42-24-400-2-222−2i22i20000−2i22i2−2i22i200-4400000000000000000i2−i2i2−i2i2−i200002i2−2i2002-2000000000000000000000−i2i2000000
χ884-4-44-24002-42-24-400-2-2222i2−2i200002i2−2i22i2−2i2004-400000000000000000−i2i2−i2i2−i2i200002i2−2i200-22000000000000000000000−i2i2000000
χ894-4-44-24002-42-24-400-2-2222i2−2i200002i2−2i22i2−2i200-4400000000000000000−i2i2−i2i2−i2i20000−2i22i2002-2000000000000000000000i2−i2000000
χ908888-4-4-8-8-4-4-4-4-4-400222200444400000000000000000000000-2-2000000000000000000000000000000000000000000000
χ9188-8-8-4800-4-844-8800-44-440000000000000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-400-44444-4002-22-200000026−26−262600000000000000000000000−666−6000000000000000000000000000000000000000
χ9388-8-8-4-400-44444-4002-22-2000000−262626−26000000000000000000000006−6−66000000000000000000000000000000000000000
χ948-88-8-4-48-84-4-4444002-2-2200-44-44000000000000000000000002-2000000000000000000000000000000000000000000000
χ958-8-88-4-400444-4-440022-2-2−4i24i200002i2−2i22i2−2i20000000000000000000002i2−2i2−i2i2−i2i2000000000000000000000000000000000000000
χ968-8-88-4-400444-4-440022-2-24i2−4i20000−2i22i2−2i22i2000000000000000000000−2i22i2i2−i2i2−i2000000000000000000000000000000000000000

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