Finite Group Databasebeta

← Group #13171584

Character table — Group #13171584

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112222222444444444444666666888888888881212121212121212121212121212121212121212121616161618181818242424242424242424242424243636363636363636363648727272108108
order1233346662333666661212122244663666666612121222266666666666812121212242466612248866666666121224242424468121212242466122428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111-111111111111-11111-1-1111111-1-11-11-1111111-1-1-1-11-11-1111-1-1-1-1-1-1-1-1
χ31111111111111111111111-11-111111111111111-11-1111-1-1-111-1-111-11-1111111-1-111-111111-1-11-11111-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111-11-111111111111111-1-1-1111-1-1-111-1-1-11-11-1-1-11111-1-1-1-1-1-11-111-1-11-1-1-1-1-1-11-11-1-1-1-1-1-1-11111
χ5111111111111111111111-11-11-1-111111111111-1111-1-1-1111-1-1111-11-11111111-1-1-1-111-11-1-111-11111-1-11-11-1-1-1-1-11-111-1-1
χ6111111111111111111111-11-11-1-111111111111-11-11-1-1-1111-1-111-1-11-11-1-11111-1-1111-1-1-1-1-111-11-1-1-11-1-1-1-1-1-1-111-11-1-111
χ7111111111111111111111-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-11-11-1-1-1-1-1-1111-11-11-1111-1-11-1-1-111
χ8111111111111111111111-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1111-1-1
χ9111111111-1111-1-11111111111111-1-1-1-1-1-11111-1-1111-1-11-1-11111-11111-1-1-1-1-1111-1-1-11-11-1-1-1-111-1-1-11-111-11-1-1-1-1111-11-1
χ10111111111-1111-1-11111111111111-1-1-1-1-1-11111-1-1-111-1-11-1-111111111111-1-1-111111-1-1-1-1-1-1-1-111111-1-1-1111-1-111-1-1-11-11
χ11111111111-1111-1-11111111-11-1111-1-1-1-1-1-11111-111-11-1-1-11111-1-1-11-11-1-1-1-1-1-11-1-1-1-111-11-1-1111-1-1-1-111-1-11-111-1-111-11-11
χ12111111111-1111-1-11111111-11-1111-1-1-1-1-1-11111-11-1-11-1-1-11111-1-111-11-111-1-1-11-1-1111-1-1-1-1-1111-1111-111-1-1-11111-1-11-11-1
χ13111111111-1111-1-1111111-11-11-1-11-1-1-1-1-1-111111-111-1111-1-1-1-111-1-11-11-1-1-1-1-11-1-111-111111-1-1-11-1-1-1-111-1-1-111111-11-1-11
χ14111111111-1111-1-1111111-11-11-1-11-1-1-1-1-1-111111-1-11-1111-1-1-1-1111-11-1111-1-1-11-1-1-1-1-1-11-111-1-1-1111111-1-11-111-1-1-11-111-1
χ15111111111-1111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-11111111-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1111-1-1111-1-111-1
χ16111111111-1111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1-111-111-1-1-1-11-1-1-1-111-1-1-1111-1-11-11-11111-1-11111-111-11-1-1-1-1-111-1-11
χ1722222-2222022200222-2-2-222-2-22220000002-2-2-2000220020022220-2-2-2-200000-2-220000000000-2-2000000-2020000000000
χ1822222-2222022200222-2-2-22-2-222220000002-2-2-2000-2200-20022-2-20-22-2200000-22-20000000000-2200000020-20000000000
χ1922222-2222022200222-2-2-2-222-2-2-220000002-2-2-20002-200200-2-22202-22-200000-22-200000000002-200000020-20000000000
χ2022222-2222022200222-2-2-2-2-222-2-220000002-2-2-2000-2-200-200-2-2-2-20222200000-2-22000000000022000000-2020000000000
χ212222-12-1222-12-122-12-12-122020-1-1-12-122-1-1-12-1-12020222000-1-1002-1020-1-1-1-1-1-1002202-1-1-1-100-102-1-120000000-1-1-1-10000
χ222222-12-1222-12-122-12-12-122020-1-1-12-122-1-1-12-1-120-20222000-1-100-2-102011-1-1-1-100-2-20-2-11-1-100-10-211-2000000011110000
χ232222-12-1222-12-122-12-12-12-20-2011-12-122-1-1-12-1-1-2020-2-2-20001100210-20-1-1-1-1-1-100-2-2021-11100102-1-1-2000000011-110000
χ242222-12-1222-12-122-12-12-12-20-2011-12-122-1-1-12-1-1-20-20-2-2-20001100-210-2011-1-1-1-100220-211110010-21120000000-1-11-10000
χ252222-12-122-2-12-1-2-2-12-12-122020-1-1-1-21-2-211-12-1-1-20202-2-2000-1-100-2-102011111-100-2-2021-11100-10-2112000000011-1-10000
χ262222-12-122-2-12-1-2-2-12-12-122020-1-1-1-21-2-211-12-1-1-20-202-2-2000-1-1002-1020-1-1111-100220-2111100-102-1-1-20000000-1-1110000
χ272222-12-122-2-12-1-2-2-12-12-12-20-2011-1-21-2-211-12-1-12020-2220001100-210-2011111-1002202-1-1-1-10010-211-20000000-1-1-110000
χ282222-12-122-2-12-1-2-2-12-12-12-20-2011-1-21-2-211-12-1-120-20-2220001100210-20-1-1111-100-2-20-2-11-1-100102-1-120000000111-10000
χ29222-12222-122-1-1-1-12-1-1-122222222-122-1-1-1-1-1-1-122202-1-1-1-1-1-1-1-1-1-1022-1-1002-1-1-122002020-1-1-1-1-1-1000020-10-1-1-100000000
χ30222-12222-122-1-1-1-12-1-1-1222-22-222-122-1-1-1-1-1-1-122-20-2-1-1-1111-1-11102-2-11002-1-1-1-2-200-2020-1-111-110000-201011100000000
χ31222-12222-122-1-1-1-12-1-1-122-22-22-2-2-122-1-1-1-1-1-1-12-2202111-1-1-111-1-10-221-1002-1-1-1-2-20020-2011-1-11-10000-201011100000000
χ32222-12222-122-1-1-1-12-1-1-122-2-2-2-2-2-2-122-1-1-1-1-1-1-12-2-20-211111111110-2-211002-1-1-12200-20-20111111000020-10-1-1-100000000
χ33222-12222-1-22-1-1112-1-1-122222222-1-2-21111-1-1-12-2-202-111-111-1-1-1-1022-1-100-211-12200-20-201111-1-10000-20-10-11100000000
χ34222-12222-1-22-1-1112-1-1-1222-22-222-1-2-21111-1-1-12-220-2-1111-1-1-1-11102-2-1100-211-1-2-20020-2011-1-1-11000020101-1-100000000
χ35222-12222-1-22-1-1112-1-1-122-22-22-2-2-1-2-21111-1-1-122-2021-1-1-11111-1-10-221-100-211-1-2-200-2020-1-1111-1000020101-1-100000000
χ36222-12222-1-22-1-1112-1-1-122-2-2-2-2-2-2-1-2-21111-1-1-12220-21-1-11-1-111110-2-21100-211-122002020-1-1-1-1110000-20-10-11100000000
χ37222-12-222-102-1-1−i3i32-1-11-2-222-2-222-100−i3i3−i3i3-111-20002-1−i3i3-1−i3i3-1-1-1-10-2-211000−i3i31-22000000−i3i3−i3i31100000010-1−i3i300000000
χ38222-12-222-102-1-1−i3i32-1-11-2-22-2-2222-100−i3i3−i3i3-111-2000-2-1−i3i31i3−i3-1-1110-221-1000−i3i312-2000000−i3i3i3−i31-1000000-101i3−i300000000
χ39222-12-222-102-1-1−i3i32-1-11-2-2-222-2-2-2-100−i3i3−i3i3-111-200021i3−i3-1−i3i311-1-102-2-11000−i3i312-2000000i3−i3−i3i3-11000000-101i3−i300000000
χ40222-12-222-102-1-1−i3i32-1-11-2-2-2-222-2-2-100−i3i3−i3i3-111-2000-21i3−i31i3−i31111022-1-1000−i3i31-22000000i3−i3i3−i3-1-100000010-1−i3i300000000
χ41222-12-222-102-1-1i3−i32-1-11-2-222-2-222-100i3−i3i3−i3-111-20002-1i3−i3-1i3−i3-1-1-1-10-2-211000i3−i31-22000000i3−i3i3−i31100000010-1i3−i300000000
χ42222-12-222-102-1-1i3−i32-1-11-2-22-2-2222-100i3−i3i3−i3-111-2000-2-1i3−i31−i3i3-1-1110-221-1000i3−i312-2000000i3−i3−i3i31-1000000-101−i3i300000000
χ43222-12-222-102-1-1i3−i32-1-11-2-2-222-2-2-2-100i3−i3i3−i3-111-200021−i3i3-1i3−i311-1-102-2-11000i3−i312-2000000−i3i3i3−i3-11000000-101−i3i300000000
χ44222-12-222-102-1-1i3−i32-1-11-2-2-2-222-2-2-100i3−i3i3−i3-111-2000-21−i3i31−i3i31111022-1-1000i3−i31-22000000−i3i3−i3i3-1-100000010-1i3−i300000000
χ4522-12222-122-1-1222-1-1222-1020200-1-12-1-122-1-12-1022-100022200-1-120-10222-1-1-1-10000-1-10200-1-10-1-1-1-10020200000-10-1-100
χ4622-12222-122-1-1222-1-1222-1020200-1-12-1-122-1-12-102-2-100022200-1-1-20-102-2-2-1-1-1-10000-110-200-1-10-111100-20-200000101100
χ4722-12222-122-1-1222-1-1222-10-20-200-1-12-1-122-1-12-10-221000-2-2-200112010-222-1-1-1-100001-102001101-1-1-100-20-200000-101100
χ4822-12222-122-1-1222-1-1222-10-20-200-1-12-1-122-1-12-10-2-21000-2-2-20011-2010-2-2-2-1-1-1-10000110-2001101111002020000010-1-100
χ4922-12222-12-2-1-12-2-2-1-1222-1020200-11-211-2-2-1-12-10-22-10002-2-200-1-1-20-102-2-2111-100001-10200110-11110020-200000-10-1100
χ5022-12222-12-2-1-12-2-2-1-1222-1020200-11-211-2-2-1-12-10-2-2-10002-2-200-1-120-10222111-10000110-200110-1-1-1-100-20200000101-100
χ5122-12222-12-2-1-12-2-2-1-1222-10-20-200-11-211-2-2-1-12-10221000-2220011-2010-2-2-2111-10000-1-10200-1-10111100-20200000-101-100
χ5222-12222-12-2-1-12-2-2-1-1222-10-20-200-11-211-2-2-1-12-102-21000-22200112010-222111-10000-110-200-1-101-1-1-10020-20000010-1100
χ534444-2-4-2440-24-200-24-2-42-440-40-2-2-2000000-2-4220000400000-2-200020-40000002000000000000200000000000000000000
χ544444-2-4-2440-24-200-24-2-42-4-404022-2000000-2-4220000-40000022000-2040000002000000000000-200000000000000000000
χ55444-2-24-24-24-2-21-2-2-2-21-2-244040-2-214-2-2-2111-21-24000-2-2-200011000-20-2000-2111000000-201100100000000000000000000
χ56444-2-24-24-24-2-21-2-2-2-21-2-24-40-402214-2-2-2111-21-2-4000222000-1-1000202000-211100000020-1-100-100000000000000000000
χ57444-2-24-24-2-4-2-2122-2-21-2-244040-2-21-4222-1-11-21-2-4000-22200011000-20-20002-1-1100000020-1-100100000000000000000000
χ58444-2-24-24-2-4-2-2122-2-21-2-24-40-40221-4222-1-11-21-240002-2-2000-1-10002020002-1-11000000-201100-100000000000000000000
χ59444-2-2-4-24-20-2-21−2i32i3-2-2122-440-40-2-2100−2i32i3i3−i312-120000-2−2i32i3000110002020000i3−i3-100000000i3−i300-100000000000000000000
χ60444-2-2-4-24-20-2-21−2i32i3-2-2122-4-404022100−2i32i3i3−i312-12000022i3−2i3000-1-1000-20-20000i3−i3-100000000−i3i300100000000000000000000
χ61444-2-2-4-24-20-2-212i3−2i3-2-2122-440-40-2-21002i3−2i3−i3i312-120000-22i3−2i3000110002020000−i3i3-100000000−i3i300-100000000000000000000
χ62444-2-2-4-24-20-2-212i3−2i3-2-2122-4-4040221002i3−2i3−i3i312-1200002−2i32i3000-1-1000-20-20000−i3i3-100000000i3−i300100000000000000000000
χ6344-244-44-240-2-2400-2-24-4-42040-400-2000000-22-42000-200040000-2-20020-4000002000000000000020000000000000000000
χ6444-244-44-240-2-2400-2-24-4-420-40400-2000000-22-420002000-400002200-2040000020000000000000-20000000000000000000
χ6544-24-24-2-2441-2-2441-2-24-2-20000001-2-2-2-2-2-21-2-210040000000000040000-2-2111100000-20-2000000-2110000000000100000
χ6644-24-24-2-2441-2-2441-2-24-2-20000001-2-2-2-2-2-21-2-2100-400000000000-40000221111000002020000002-1-10000000000-100000
χ6744-24-24-2-24-41-2-2-4-41-2-24-2-200000012222221-2-2100400000000000-4000022-1-1-1100000-20-20000002-1-10000000000100000
χ6844-24-24-2-24-41-2-2-4-41-2-24-2-200000012222221-2-2100-40000000000040000-2-2-1-1-1100000202000000-2110000000000-100000
χ6944-2-2444-2-24-21-2-2-2-21-2-24-20404001-2411-2-211-2-2040-2000-2-2-2001100-20-200-21110000-20000011010000000000000000000
χ7044-2-2444-2-24-21-2-2-2-21-2-24-20-40-4001-2411-2-211-2-20-40200022200-1-10020200-21110000200000-1-10-10000000000000000000
χ7144-2-2444-2-2-4-21-222-21-2-24-204040012-4-1-12211-2-20-40-2000-222001100-20-2002-1-110000200000-1-1010000000000000000000
χ7244-2-2444-2-2-4-21-222-21-2-24-20-40-40012-4-1-12211-2-204020002-2-200-1-100202002-1-110000-200000110-10000000000000000000
χ7344-2-24-44-2-20-21-2−2i32i3-21-22-42040-400100i3−i3−2i32i31-122000-2000-2−2i32i3001100202000i3−i3-10000000000i3−i30-10000000000000000000
χ7444-2-24-44-2-20-21-2−2i32i3-21-22-420-40400100i3−i3−2i32i31-122000200022i3−2i300-1-100-20-2000i3−i3-10000000000−i3i3010000000000000000000
χ7544-2-24-44-2-20-21-22i3−2i3-21-22-42040-400100−i3i32i3−2i31-122000-2000-22i3−2i3001100202000−i3i3-10000000000−i3i30-10000000000000000000
χ7644-2-24-44-2-20-21-22i3−2i3-21-22-420-40400100−i3i32i3−2i31-12200020002−2i32i300-1-100-20-2000−i3i3-10000000000i3−i3010000000000000000000
χ774-44440-4-4-4044400-4-4-40000000004000000-400000000000000000000000000000022−2200000000000000000000022−22000000
χ784-44440-4-4-4044400-4-4-40000000004000000-4000000000000000000000000000000−2222000000000000000000000−2222000000
χ794-444-202-4-40-24-2002-420000000−2i32i3-200000020000000000000−2i32i30000000i6−i600000022−2200000000000i6−i600000000−22000000
χ804-444-202-4-40-24-2002-420000000−2i32i3-200000020000000000000−2i32i30000000−i6i6000000−222200000000000−i6i6000000002−2000000
χ814-444-202-4-40-24-2002-4200000002i3−2i3-2000000200000000000002i3−2i30000000i6−i6000000−222200000000000i6−i6000000002−2000000
χ824-444-202-4-40-24-2002-4200000002i3−2i3-2000000200000000000002i3−2i30000000−i6i600000022−2200000000000−i6i600000000−22000000
χ8388-48-4-8-4-4802-4-4002-4-4-8440000002000000244-2000000000000000000000000-2000000000000000000000000000000000
χ8488-4-4-48-4-4-48222-4-4222-4-4-4000000-1-4-42222-12220000000000000000000002-1-1-1000000000000000000000000000000000
χ8588-4-4-48-4-4-4-822244222-4-4-4000000-144-2-2-2-2-1222000000000000000000000-211-1000000000000000000000000000000000
χ8688-4-4-4-8-4-4-40222−4i34i3222444000000-1002i3−2i32i3−2i3-1-2-2-20000000000000000000000−i3i31000000000000000000000000000000000
χ8788-4-4-4-8-4-4-402224i3−4i3222444000000-100−2i32i3−2i32i3-1-2-2-20000000000000000000000i3−i31000000000000000000000000000000000
χ888-88-480-8-8408-4-400-844000000000-400000040000000000000000000000000000000000000000000000000000000000000
χ898-88-4-404-840-4-420044-20000000−4i34i32000000-200000000000002i3−2i30000000000000000000000000000000000000000000000
χ908-88-4-404-840-4-420044-200000004i3−4i32000000-20000000000000−2i32i30000000000000000000000000000000000000000000000
χ918-8-4880-84-80-4-480044-8000000000-400000040000000000000000000000000000000000000000000000000000000000000
χ928-8-48-4044-802-4-400-2440000000002000000-200000000000000000000002i6−2i60000000000000000000−i6i60000000000000000
χ938-8-48-4044-802-4-400-2440000000002000000-20000000000000000000000−2i62i60000000000000000000i6−i60000000000000000
χ948-8-4-480-8440-42-4004-240000000002000000-20000000000000006-600000000000000000000000000000000000000000000
χ958-8-4-480-8440-42-4004-240000000002000000-2000000000000000-6600000000000000000000000000000000000000000000
χ9616-16-8-8-80888044400-4-4-4000000000-200000020000000000000000000000000000000000000000000000000000000000000

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