Finite Group Databasebeta

← Group #13180557

Character table — Group #13180557

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90
size1122444466688889912121212121212121218181818242424242424363636363636547210811224444666888899121212121212121212181818182424242424243636363636365472108
order12363366224336622466661212121244666612121212441212121241242266666622466662246666121212124466661212121244121212124124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111-11111-1-1111111111-1-1-1-1-111-1-11-1-111111111111111111-11111-1-1111111111-1-1-1-1-111-1-11-1-1
χ31111111111-11111111111111-1-1-1-11111-1111-11-1-111-1-1-11111111111-11111111111111-1-1-1-11111-1111-11-1-111-1-1-1
χ41111111111-1111111-11111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-1111111111111-1111111-11111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-111
χ511111111-1-111111111-1-1-1-11111-1-111-1-111111-1-1-1-1-111-111111111-1-111111111-1-1-1-11111-1-111-1-111111-1-1-1-1-111-1
χ611111111-1-11111111-1-1-1-1-1-1-111-1-111-1-11-1-1-1-11-1-1111-1111111111-1-11111111-1-1-1-1-1-1-111-1-111-1-11-1-1-1-11-1-1111-11
χ711111111-1-1-11111111-1-1-1-111-1-11111-1-1-1111-1-111-1-1-1-1111111111-1-1-11111111-1-1-1-111-1-11111-1-1-1111-1-111-1-1-1-11
χ811111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-111111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1
χ9222222220022222-2-200000002200-2-2002000000000-200222222220022222-2-200000002200-2-2002000000000-200
χ102222222200-22222-2-20000000-2-200-2-200-20000000002002222222200-22222-2-20000000-2-200-2-200-2000000000200
χ1122-1-12222220-1-1-1-1222-1-122-1-10000-1-1-1-102-1-10200-1-100022-1-12222220-1-1-1-1222-1-122-1-10000-1-1-1-102-1-10200-1-1000
χ1222-1-12222220-1-1-1-122-2-1-122110000-1-1-1-10-2110-2001100022-1-12222220-1-1-1-122-2-1-122110000-1-1-1-10-2110-20011000
χ1322-1-12222-2-20-1-1-1-122211-2-2-1-10000-1-11102-1-10-2001100022-1-12222-2-20-1-1-1-122211-2-2-1-10000-1-11102-1-10-20011000
χ1422-1-12222-2-20-1-1-1-122-211-2-2110000-1-1110-2110200-1-100022-1-12222-2-20-1-1-1-122-211-2-2110000-1-1110-2110200-1-1000
χ152-22-222-2-200022-2-2-220000000002i−2i-22000000002i−2i000002-22-222-2-200022-2-2-220000000002i−2i-22000000002i−2i00000
χ162-22-222-2-200022-2-2-22000000000−2i2i-2200000000−2i2i000002-22-222-2-200022-2-2-22000000000−2i2i-2200000000−2i2i00000
χ172-22-222-2-22-2022-2-22-202-22-20000002-22-200000000000002-22-222-2-22-2022-2-22-202-22-20000002-22-20000000000000
χ182-22-222-2-2-22022-2-22-20-22-220000002-2-2200000000000002-22-222-2-2-22022-2-22-20-22-220000002-2-220000000000000
χ192-2-1122-2-22-20-1-1112-20-112-23−30000-11-11003−300003−30002-2-1122-2-22-20-1-1112-20-112-23−30000-11-11003−300003−3000
χ202-2-1122-2-22-20-1-1112-20-112-2−330000-11-1100−330000−330002-2-1122-2-22-20-1-1112-20-112-2−330000-11-1100−330000−33000
χ212-2-1122-2-2-220-1-1112-201-1-223−30000-111-1003−30000−330002-2-1122-2-2-220-1-1112-201-1-223−30000-111-1003−30000−33000
χ222-2-1122-2-2-220-1-1112-201-1-22−330000-111-100−3300003−30002-2-1122-2-2-220-1-1112-201-1-22−330000-111-100−3300003−3000
χ2344441-2-210041-2-21002000022-2-20000001-1-1-12000000-1044441-2-210041-2-21002000022-2-20000001-1-1-12000000-10
χ2444441-2-210041-2-2100-20000-2-2-2-20000001111-20000001044441-2-210041-2-2100-20000-2-2-2-20000001111-200000010
χ2544441-2-2100-41-2-2100200002222000000-1-1-1-1-20000001044441-2-2100-41-2-2100200002222000000-1-1-1-1-200000010
χ2644441-2-2100-41-2-2100-20000-2-222000000-11112000000-1044441-2-2100-41-2-2100-20000-2-222000000-11112000000-10
χ274444-211-2224-211-200022-1-100112200-1-1-200000-1-1000004444-211-2224-211-200022-1-100112200-1-1-200000-1-100000
χ284444-211-222-4-211-200022-1-100-1-1-2-200-1-120000011000004444-211-222-4-211-200022-1-100-1-1-2-200-1-12000001100000
χ294444-211-2-2-24-211-2000-2-2110011-2-20011-20000011000004444-211-2-2-24-211-2000-2-2110011-2-20011-2000001100000
χ304444-211-2-2-2-4-211-2000-2-21100-1-1220011200000-1-1000004444-211-2-2-2-4-211-2000-2-21100-1-1220011200000-1-100000
χ3144-2-24444000-2-2-2-2-4-4000000000002200000000000000044-2-24444000-2-2-2-2-4-40000000000022000000000000000
χ324-44-4-21-122-20-21-120002-2-11003i−3i2i−2i00-11000000−ii000004-44-4-21-122-20-21-120002-2-11003i−3i2i−2i00-11000000−ii00000
χ334-44-4-21-122-20-21-120002-2-1100−3i3i−2i2i00-11000000i−i000004-44-4-21-122-20-21-120002-2-1100−3i3i−2i2i00-11000000i−i00000
χ344-44-4-21-12-220-21-12000-221-1003i−3i−2i2i001-1000000i−i000004-44-4-21-12-220-21-12000-221-1003i−3i−2i2i001-1000000i−i00000
χ354-44-4-21-12-220-21-12000-221-100−3i3i2i−2i001-1000000−ii000004-44-4-21-12-220-21-12000-221-100−3i3i2i−2i001-1000000−ii00000
χ364-4-2244-4-4000-2-222-44000000000002-20000000000000004-4-2244-4-4000-2-222-44000000000002-2000000000000000
χ3788-4-42-4-42000-122-10040000-2-2000000000-21100000000088-4-42-4-42000-122-10040000-2-2000000000-211000000000
χ3888-4-42-4-42000-122-100-40000220000000002-1-100000000088-4-42-4-42000-122-100-40000220000000002-1-1000000000
χ3988-4-4-422-44402-1-12000-2-2-2-20000000011000000000000088-4-4-422-44402-1-12000-2-2-2-200000000110000000000000
χ4088-4-4-422-4-4-402-1-12000222200000000-1-1000000000000088-4-4-422-4-4-402-1-12000222200000000-1-10000000000000
χ418-88-82-44-20002-44-20000000000000000000000000000008-88-82-44-20002-44-2000000000000000000000000000000
χ428-8-442-44-2000-12-21000000023−230000000000−330000000008-8-442-44-2000-12-21000000023−230000000000−33000000000
χ438-8-442-44-2000-12-210000000−232300000000003−30000000008-8-442-44-2000-12-210000000−232300000000003−3000000000
χ448-8-44-42-244-402-11-2000-22-22000000001-100000000000008-8-44-42-244-402-11-2000-22-22000000001-10000000000000
χ458-8-44-42-24-4402-11-20002-22-200000000-1100000000000008-8-44-42-24-4402-11-20002-22-200000000-110000000000000
χ46111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4711111111111111111-11111-1-1111111111-1-1-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-111111-1-111-111
χ481111111111-11111111111111-1-1-1-11111-1111-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-11-111-1-1111
χ491111111111-1111111-11111-1-1-1-1-1-11111-1-1-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11-1-1-1-1111111-1-1-1-11111-1111111-1-1
χ5011111111-1-111111111-1-1-1-11111-1-111-1-111111-1-1-1-1-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-111111-1-11
χ5111111111-1-11111111-1-1-1-1-1-1-111-1-111-1-11-1-1-1-11-1-1111-11-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111111-1-111-1-111-11111-111-1-1-11-1
χ5211111111-1-1-11111111-1-1-1-111-1-11111-1-1-1111-1-111-1-1-1-11-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-111-1-1-1-1111-1-1-111-1-11111-1
χ5311111111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111111111-1-1-1-1111111-1-1-1-1-1-11-11
χ54222222220022222-2-200000002200-2-2002000000000-200-2-2-2-2-2-2-2-200-2-2-2-2-2220000000-2-2002200-2000000000200
χ552222222200-22222-2-20000000-2-200-2-200-2000000000200-2-2-2-2-2-2-2-2002-2-2-2-2220000000220022002000000000-200
χ5622-1-12222220-1-1-1-1222-1-122-1-10000-1-1-1-102-1-10200-1-1000-2-211-2-2-2-2-2-201111-2-2-211-2-211000011110-2110-20011000
χ5722-1-12222220-1-1-1-122-2-1-122110000-1-1-1-10-2110-20011000-2-211-2-2-2-2-2-201111-2-2211-2-2-1-10000111102-1-10200-1-1000
χ5822-1-12222-2-20-1-1-1-122211-2-2-1-10000-1-11102-1-10-20011000-2-211-2-2-2-22201111-2-2-2-1-12211000011-1-10-2110200-1-1000
χ5922-1-12222-2-20-1-1-1-122-211-2-2110000-1-1110-2110200-1-1000-2-211-2-2-2-22201111-2-22-1-122-1-1000011-1-102-1-10-20011000
χ602-22-222-2-200022-2-2-220000000002i−2i-22000000002i−2i00000-22-22-2-222000-2-2222-2000000000−2i2i2-200000000−2i2i00000
χ612-22-222-2-200022-2-2-22000000000−2i2i-2200000000−2i2i00000-22-22-2-222000-2-2222-20000000002i−2i2-2000000002i−2i00000
χ622-22-222-2-22-2022-2-22-202-22-20000002-22-20000000000000-22-22-2-222-220-2-222-220-22-22000000-22-220000000000000
χ632-22-222-2-2-22022-2-22-20-22-220000002-2-220000000000000-22-22-2-2222-20-2-222-2202-22-2000000-222-20000000000000
χ642-2-1122-2-22-20-1-1112-20-112-23−30000-11-11003−300003−3000-221-1-2-222-22011-1-1-2201-1-22−3300001-11-100−330000−33000
χ652-2-1122-2-22-20-1-1112-20-112-2−330000-11-1100−330000−33000-221-1-2-222-22011-1-1-2201-1-223−300001-11-1003−300003−3000
χ662-2-1122-2-2-220-1-1112-201-1-223−30000-111-1003−30000−33000-221-1-2-2222-2011-1-1-220-112-2−3300001-1-1100−3300003−3000
χ672-2-1122-2-2-220-1-1112-201-1-22−330000-111-100−3300003−3000-221-1-2-2222-2011-1-1-220-112-23−300001-1-11003−30000−33000
χ6844441-2-210041-2-21002000022-2-20000001-1-1-12000000-10-4-4-4-4-122-100-4-122-100-20000-2-222000000-1111-200000010
χ6944441-2-210041-2-2100-20000-2-2-2-20000001111-200000010-4-4-4-4-122-100-4-122-100200002222000000-1-1-1-12000000-10
χ7044441-2-2100-41-2-2100200002222000000-1-1-1-1-200000010-4-4-4-4-122-1004-122-100-20000-2-2-2-200000011112000000-10
χ7144441-2-2100-41-2-2100-20000-2-222000000-11112000000-10-4-4-4-4-122-1004-122-1002000022-2-20000001-1-1-1-200000010
χ724444-211-2224-211-200022-1-100112200-1-1-200000-1-100000-4-4-4-42-1-12-2-2-42-1-12000-2-21100-1-1-2-200112000001100000
χ734444-211-222-4-211-200022-1-100-1-1-2-200-1-12000001100000-4-4-4-42-1-12-2-242-1-12000-2-2110011220011-200000-1-100000
χ744444-211-2-2-24-211-2000-2-2110011-2-20011-2000001100000-4-4-4-42-1-1222-42-1-1200022-1-100-1-12200-1-1200000-1-100000
χ754444-211-2-2-2-4-211-2000-2-21100-1-1220011200000-1-100000-4-4-4-42-1-122242-1-1200022-1-10011-2-200-1-1-2000001100000
χ7644-2-24444000-2-2-2-2-4-40000000000022000000000000000-4-422-4-4-4-400022224400000000000-2-2000000000000000
χ774-44-4-21-122-20-21-120002-2-11003i−3i2i−2i00-11000000−ii00000-44-442-11-2-2202-11-2000-221-100−3i3i−2i2i001-1000000i−i00000
χ784-44-4-21-122-20-21-120002-2-1100−3i3i−2i2i00-11000000i−i00000-44-442-11-2-2202-11-2000-221-1003i−3i2i−2i001-1000000−ii00000
χ794-44-4-21-12-220-21-12000-221-1003i−3i−2i2i001-1000000i−i00000-44-442-11-22-202-11-20002-2-1100−3i3i2i−2i00-11000000−ii00000
χ804-44-4-21-12-220-21-12000-221-100−3i3i2i−2i001-1000000−ii00000-44-442-11-22-202-11-20002-2-11003i−3i−2i2i00-11000000i−i00000
χ814-4-2244-4-4000-2-222-44000000000002-2000000000000000-442-2-4-44400022-2-24-400000000000-22000000000000000
χ8288-4-42-4-42000-122-10040000-2-2000000000-211000000000-8-844-244-20001-2-2100-40000220000000002-1-1000000000
χ8388-4-42-4-42000-122-100-40000220000000002-1-1000000000-8-844-244-20001-2-210040000-2-2000000000-211000000000
χ8488-4-4-422-44402-1-12000-2-2-2-200000000110000000000000-8-8444-2-24-4-40-211-2000222200000000-1-10000000000000
χ8588-4-4-422-4-4-402-1-12000222200000000-1-10000000000000-8-8444-2-24440-211-2000-2-2-2-200000000110000000000000
χ868-88-82-44-20002-44-2000000000000000000000000000000-88-88-24-42000-24-42000000000000000000000000000000
χ878-8-442-44-2000-12-21000000023−230000000000−33000000000-884-4-24-420001-22-10000000−232300000000003−3000000000
χ888-8-442-44-2000-12-210000000−232300000000003−3000000000-884-4-24-420001-22-1000000023−230000000000−33000000000
χ898-8-44-42-244-402-11-2000-22-22000000001-10000000000000-884-44-22-4-440-21-120002-22-200000000-110000000000000
χ908-8-44-42-24-4402-11-20002-22-200000000-110000000000000-884-44-22-44-40-21-12000-22-22000000001-10000000000000

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