Finite Group Databasebeta

← Group #13171586

Character table — Group #13171586

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93
size1122222224444444444446666888888888881212121212121212121212121212121212121212161616161818242424242424242424242424242436363636363636363648545472727272108
order123334666233366666121212224436666666121212224666666668121212121212121266612246666661212121224242424224666881268861224242
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1111111111-1111111111111111-1-11111111-1-1-1-11-1-1111-1-11-1-1-1-1-1-1-1-1
χ31111111111111111111111-11-11111111111111-11-1111-1111-111-1-1-1-1-11111-1-1111-111-11-1-11111-1-11-1-1-11-1-11-1-1-111-1-1
χ41111111111111111111111-11-1111111111111-1-11-1111-111-1-111-1-1-1-1-11111-1-11-1-1-111-11-1-1-1-1-1-1-11-1-1-1-1-11-1-1111-1-111
χ5111111111111111111111-11-1111111111111-111-11-1-1-11-1-111-1-1111111111-1-1-1111-1-11-1111111-11-1-1-1-1-11-11-1-11-1-11-1
χ6111111111111111111111-11-1111111111111-1-11-11-1-1-11-1-1-11-1-1111111111-1-1-1-1-11-1-11-111-1-1-1-1-1-11-1-1-11-1-1-111-111-11
χ7111111111111111111111-1-1-1-111111111111-11-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111-111-1-1-1-1-1-1-111111-1-1111-1-11111-1-1-1-11
χ8111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1
χ9111111111-1111-1-111111111111-1-1-1-1-1-11111-11-1111-1-1111-11111-1-111-1-1-1111-1111-1-1-11-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-11
χ10111111111-1111-1-111111111111-1-1-1-1-1-11111-1-1-1111-1-111111111-1-111-1-1-1111-1-1-11-1-1-11-1-11111-1-1-11-1-1111-111-1-111-1
χ11111111111-1111-1-11111111-11-11-1-1-1-1-1-11111-1111-11-1-1-111-1-111-111-1-1-1-1-11-1-1-111-1-1-11111-1-1-1-11-11-111-11-1111-11-11-1
χ12111111111-1111-1-11111111-11-11-1-1-1-1-1-11111-1-111-11-1-1-1111-111-111-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1111-1-1-1-1-11-11-11
χ13111111111-1111-1-1111111-11-111-1-1-1-1-1-1111111-1-11-1111-1-1-11-1-11-1-111-1-1-11-1-1111111-1-1-1-1-1-1-1-111-1-1111-1-11111-11-1-1
χ14111111111-1111-1-1111111-11-111-1-1-1-1-1-111111-1-1-11-1111-1-111-1-11-1-111-1-1-11-1-11-1-1111-1-1-1-111111-11-111-11-1-1-1-1-11-111
χ15111111111-1111-1-1111111-1-1-1-11-1-1-1-1-1-11111111-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1111111-1111-111-1-1-1-1-1-1-11-1-11111-1-1-1-1111
χ16111111111-1111-1-1111111-1-1-1-11-1-1-1-1-1-111111-11-1-1-111-1-1-11-1-1-1-111-1-1-1-1-11111-1-1-1111-1111111-1111-1-1-1-11-11111-1-1-1
χ1722222-2222022200222-2-2-222-2-220000002-2-2-2000222002220-2-2-2-200-2-2000-2-220002000-2000000000-20000200000000
χ1822222-2222022200222-2-2-22-2-2220000002-2-2-20002-2200-22202-2-220022000-22-2000-2000-200000000020000-200000000
χ1922222-2222022200222-2-2-2-222-220000002-2-2-2000-22-2002-2-20-222-200-2-2000-22-20002000200000000020000-200000000
χ2022222-2222022200222-2-2-2-2-22220000002-2-2-2000-2-2-200-2-2-2022220022000-2-22000-20002000000000-20000200000000
χ212222-1222-12-12-1-1-12-1-1-1222222-122-1-1-1-1-1-1-1220222-1-1-1-1-1-1022-1-1-1-1-1-12-1-1-122200-1-1-12-1-1-10000200-1-1-100-100000000
χ222222-1222-12-12-1-1-12-1-1-1222-22-2-122-1-1-1-1-1-1-1220-22-2-1-1-11-1-10-22-1111112-1-1-1-2-22001-1-1-2-1110000-20011100100000000
χ232222-1222-12-12-1-1-12-1-1-122-22-22-122-1-1-1-1-1-1-12-202-22111-11102-21-1-1-1-1-12-1-1-1-2-2-200-11121-1-10000-20011100100000000
χ242222-1222-12-12-1-1-12-1-1-122-2-2-2-2-122-1-1-1-1-1-1-12-20-2-2-21111110-2-21111112-1-1-122-200111-21110000200-1-1-100-100000000
χ252222-1222-1-2-12-1112-1-1-1222222-1-2-21111-1-1-12-20-222-111-1-1-1022-1-111-1-1-211-122-200-111-2-1110000-200-11100-100000000
χ262222-1222-1-2-12-1112-1-1-1222-22-2-1-2-21111-1-1-12-2022-2-1111-1-10-22-11-1-111-211-1-2-2-2001112-1-1-100002001-1-100100000000
χ272222-1222-1-2-12-1112-1-1-122-22-22-1-2-21111-1-1-1220-2-221-1-1-11102-21-111-1-1-211-1-2-2200-1-1-1-211100002001-1-100100000000
χ282222-1222-1-2-12-1112-1-1-122-2-2-2-2-1-2-21111-1-1-12202-2-21-1-11110-2-211-1-111-211-1222001-1-121-1-10000-200-11100-100000000
χ292222-1-222-10-12-1−i3i32-1-11-2-222-2-2-100−i3i3−i3i3-111-200022-1−i3i3-1-1-10-2-211−i3i3110−i3i31-22000-1−i3i301−i3i300000001−i3i300-100000000
χ302222-1-222-10-12-1−i3i32-1-11-2-22-2-22-100−i3i3−i3i3-111-20002-2-1−i3i31-1-102-21-1i3−i3-1-10−i3i312-20001−i3i301i3−i30000000-1i3−i300100000000
χ312222-1-222-10-12-1−i3i32-1-11-2-2-222-2-100−i3i3−i3i3-111-2000-221i3−i3-1110-22-11−i3i3110−i3i312-2000-1i3−i30-1−i3i30000000-1i3−i300100000000
χ322222-1-222-10-12-1−i3i32-1-11-2-2-2-222-100−i3i3−i3i3-111-2000-2-21i3−i3111022-1-1i3−i3-1-10−i3i31-220001i3−i30-1i3−i300000001−i3i300-100000000
χ332222-1-222-10-12-1i3−i32-1-11-2-222-2-2-100i3−i3i3−i3-111-200022-1i3−i3-1-1-10-2-211i3−i3110i3−i31-22000-1i3−i301i3−i300000001i3−i300-100000000
χ342222-1-222-10-12-1i3−i32-1-11-2-22-2-22-100i3−i3i3−i3-111-20002-2-1i3−i31-1-102-21-1−i3i3-1-10i3−i312-20001i3−i301−i3i30000000-1−i3i300100000000
χ352222-1-222-10-12-1i3−i32-1-11-2-2-222-2-100i3−i3i3−i3-111-2000-221−i3i3-1110-22-11i3−i3110i3−i312-2000-1−i3i30-1i3−i30000000-1−i3i300100000000
χ362222-1-222-10-12-1i3−i32-1-11-2-2-2-222-100i3−i3i3−i3-111-2000-2-21−i3i3111022-1-1−i3i3-1-10i3−i31-220001−i3i30-1−i3i300000001i3−i300-100000000
χ37222-122-1222-1-1222-12-12-120202-12-1-1-122-12-1-10220-10002002-100222-1-1-1-1-1-10002-1-100-10-1-12-1-1-1020000020-100-100-10
χ38222-122-1222-1-1222-12-12-120202-12-1-1-122-12-1-10-220-1000200-2-100222-1-1-1-1-1-1000-21-100-10-1-1-21110-200000-2010010010
χ39222-122-1222-1-1222-12-12-120-20-2-12-1-1-122-12-1-102-201000-2002100-2-2-211-1-1-1-10002-110010112-1-1-10-200000-20-10010010
χ40222-122-1222-1-1222-12-12-120-20-2-12-1-1-122-12-1-10-2-201000-200-2100-2-2-211-1-1-1-1000-211001011-2111020000020100-100-10
χ41222-122-122-2-1-12-2-2-12-12-120202-1-2111-2-2-12-1-102-20-1000200-2-1002-2-2-1-1111-10002-1-1001011-21110200000-20-100-10010
χ42222-122-122-2-1-12-2-2-12-12-120202-1-2111-2-2-12-1-10-2-20-10002002-1002-2-2-1-1111-1000-21-10010112-1-1-10-20000020100100-10
χ43222-122-122-2-1-12-2-2-12-12-120-20-2-1-2111-2-2-12-1-102201000-200-2100-22211111-10002-1100-10-1-1-21110-20000020-100100-10
χ44222-122-122-2-1-12-2-2-12-12-120-20-2-1-2111-2-2-12-1-10-2201000-2002100-22211111-1000-21100-10-1-12-1-1-10200000-20100-10010
χ4522-12222-1222-1-122-1-1222-12020-1-1222-1-1-1-12-1220-102220-1-120-1200000-1-1-1-100-1-120-1-10-100-12-1-1002000200-1000-1-100
χ4622-12222-1222-1-122-1-1222-12020-1-1222-1-1-1-12-12-20-102220-1-1-20-1200000-1-1-1-100-11-20-1-10-1001-21100-2000-20010001100
χ4722-12222-1222-1-122-1-1222-1-20-20-1-1222-1-1-1-12-1-22010-2-2-2011201-200000-1-1-1-1001-120110100-12-1-100-2000-200-10001100
χ4822-12222-1222-1-122-1-1222-1-20-20-1-1222-1-1-1-12-1-2-2010-2-2-2011-201-200000-1-1-1-10011-201101001-2110020002001000-1-100
χ4922-12222-12-22-1-1-2-2-1-1222-12020-11-2-2-211-1-12-1-220-102-2-20-1-1-20-1200000111-1001-120110-1001-211002000-200-1000-1100
χ5022-12222-12-22-1-1-2-2-1-1222-12020-11-2-2-211-1-12-1-2-20-102-2-20-1-120-1200000111-10011-20110-100-12-1-100-200020010001-100
χ5122-12222-12-22-1-1-2-2-1-1222-1-20-20-11-2-2-211-1-12-122010-222011-201-200000111-100-1-120-1-101001-21100-2000200-10001-100
χ5222-12222-12-22-1-1-2-2-1-1222-1-20-20-11-2-2-211-1-12-12-2010-222011201-200000111-100-11-20-1-10100-12-1-1002000-2001000-1100
χ53444-24-4-2440-2-2400-24-2-42-4040-4-2000000-2-4220000-20004000200-40022000200000-2000000000000000000000000000
χ54444-24-4-2440-2-2400-24-2-42-40-404-2000000-2-42200002000-4000-200400-2-20002000002000000000000000000000000000
χ55444-2-24-24-241-2-2-2-2-2-21-2-24040414-211-2-21-21-20040-2000-2000-200-2-2-211-211100000100-2011000000000000000000000
χ56444-2-24-24-241-2-2-2-2-2-21-2-240-40-414-211-2-21-21-200-4020002000200222-1-1-211100000-10020-1-1000000000000000000000
χ57444-2-24-24-2-41-2-222-2-21-2-2404041-42-1-1221-21-200-40-2000-2000-200-222112-1-110000010020-1-1000000000000000000000
χ58444-2-24-24-2-41-2-222-2-21-2-240-40-41-42-1-1221-21-20040200020002002-2-2-1-12-1-1100000-100-2011000000000000000000000
χ59444-2-2-4-24-201-2-2−2i32i3-2-2122-4040-4100i3−i3−2i32i312-120000-2000-20002002−2i32i3-1-10i3−i3-10000010000i3−i3000000000000000000000
χ60444-2-2-4-24-201-2-2−2i32i3-2-2122-40-404100i3−i3−2i32i312-12000020002000-200-22i3−2i3110i3−i3-100000-10000−i3i3000000000000000000000
χ61444-2-2-4-24-201-2-22i3−2i3-2-2122-4040-4100−i3i32i3−2i312-120000-2000-200020022i3−2i3-1-10−i3i3-10000010000−i3i3000000000000000000000
χ62444-2-2-4-24-201-2-22i3−2i3-2-2122-40-404100−i3i32i3−2i312-12000020002000-200-2−2i32i3110−i3i3-100000-10000i3−i3000000000000000000000
χ6344-244-44-2404-2-200-2-24-4-4240-40-2000000-22-42000-204000-2-2002-4000000002000000000200000000000000000000000
χ6444-244-44-2404-2-200-2-24-4-42-4040-2000000-22-4200020-40002200-24000000002000000000-200000000000000000000000
χ6544-24-244-2-24-2-21-2-2-21-2-24-240401-24-2-21111-2-2400-20-2-2-201100-2-200000-211100-2000110100000000000000000000000
χ6644-24-244-2-24-2-21-2-2-21-2-24-2-40-401-24-2-21111-2-2-400202220-1-1002200000-2111002000-1-10-100000000000000000000000
χ6744-24-244-2-2-4-2-2122-21-2-24-2404012-422-1-111-2-2-400-20-22201100-2-2000002-1-11002000-1-10100000000000000000000000
χ6844-24-244-2-2-4-2-2122-21-2-24-2-40-4012-422-1-111-2-2400202-2-20-1-10022000002-1-1100-2000110-100000000000000000000000
χ6944-24-2-44-2-20-2-21−2i32i3-21-22-4240-40100−2i32i3i3−i31-122000-20-2−2i32i30110022000000i3−i3-1000000i3−i30-100000000000000000000000
χ7044-24-2-44-2-20-2-21−2i32i3-21-22-42-4040100−2i32i3i3−i31-1220002022i3−2i30-1-100-2-2000000i3−i3-1000000−i3i30100000000000000000000000
χ7144-24-2-44-2-20-2-212i3−2i3-21-22-4240-401002i3−2i3−i3i31-122000-20-22i3−2i30110022000000−i3i3-1000000−i3i30-100000000000000000000000
χ7244-24-2-44-2-20-2-212i3−2i3-21-22-42-40401002i3−2i3−i3i31-122000202−2i32i30-1-100-2-2000000−i3i3-1000000i3−i30100000000000000000000000
χ7344-2-244-2-244-21-2441-2-24-2-200001-2-2-2-2-2-21-2-21040000000004000000001111000-2-20000000-2-21100000000010000000
χ7444-2-244-2-244-21-2441-2-24-2-200001-2-2-2-2-2-21-2-210-4000000000-400000000111100022000000022-1-1000000000-10000000
χ7544-2-244-2-24-4-21-2-4-41-2-24-2-2000012222221-2-2104000000000-400000000-1-1-11000-2-2000000022-1-100000000010000000
χ7644-2-244-2-24-4-21-2-4-41-2-24-2-2000012222221-2-210-4000000000400000000-1-1-11000220000000-2-211000000000-10000000
χ774-44440-4-4-4044400-4-4-400000004000000-40000000000000000000000000000000000000000000000000000022−2200000
χ784-44440-4-4-4044400-4-4-400000004000000-400000000000000000000000000000000000000000000000000000−222200000
χ7988-4-48-8-4-480-42-4002-4-4-84400002000000244-200000000000000000000000-2000000000000000000000000000000000
χ8088-4-4-48-4-4-48222-4-4222-4-4-40000-1-4-42222-1222000000000000000000002-1-1-1000000000000000000000000000000000
χ8188-4-4-48-4-4-4-822244222-4-4-40000-144-2-2-2-2-122200000000000000000000-211-1000000000000000000000000000000000
χ8288-4-4-4-8-4-4-40222−4i34i32224440000-1002i3−2i32i3−2i3-1-2-2-2000000000000000000000−i3i31000000000000000000000000000000000
χ8388-4-4-4-8-4-4-402224i3−4i32224440000-100−2i32i3−2i32i3-1-2-2-2000000000000000000000i3−i31000000000000000000000000000000000
χ848-888-40-8-840-48-400-8440000000-40000004000000000000000000000000000000000000000000000000000000000000
χ858-88-4804-8-80-4-48004-840000000-40000004000000000000000000000000000000000000000000000000000000000000
χ868-88-4-404-8402-4-40044-200000002000000-20000000000000000000006i−6i0000000000000000000000000000000000000
χ878-88-4-404-8402-4-40044-200000002000000-2000000000000000000000−6i6i0000000000000000000000000000000000000
χ888-8-4880-84-808-4-40044-80000000-40000004000000000000000000000000000000000000000000000000000000000000
χ898-8-48-40-8440-4-42004-2400000002000000-20000000000006-60000000000000000000000000000000000000000000000
χ908-8-48-40-8440-4-42004-2400000002000000-2000000000000-660000000000000000000000000000000000000000000000
χ918-8-4-48044-80-42-400-24400000002000000-20000000000000000000000000000000000000000032−3200000000000000000
χ928-8-4-48044-80-42-400-24400000002000000-200000000000000000000000000000000000000000−323200000000000000000
χ9316-16-8-8-80888044400-4-4-40000000-20000002000000000000000000000000000000000000000000000000000000000000

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