Finite Group Databasebeta

← Group #13171587

Character table — Group #13171587

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size112222222444444444444666666888888888881212121212121212121212121212121212121212121616161618181818242424242424242424242424243636363636363636363648727272108108
order12333466623336666612121222441212366666661212122446666812121212121212121212122424666122488666612121212121224242424468121212242466122428
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111-1111111-111111111111-1-1111111-1-1-1-111111111-1-1-1-11-11-1111-1-1-1-1-1-1-1-1
χ31111111111111111111111-11-1111111111111111-111-1-11-1111-1-1-111-1-1111111-1-111111-1-1111-1-1111-1-11-1-1-1-1-1111-11-1-1-1
χ41111111111111111111111-11-11111111111111-11-111-1-1-1-1111-1-1-111-1-1-1-11111-1-1-1-1-1-11-1-1111-1-1-1-1-11-1-1-11-1-1-1-1-1-11-1111
χ5111111111111111111111-11-11-1-1111111111111-11-1-11111-1-1-1111-1-111111111-1-1-1-111-111-1-1-1111111-1-1-11-1-1-1-1-111-11-1-1
χ6111111111111111111111-11-11-1-111111111111-1-11-1-111-11-1-1-1111-1-111-1-11111-1-111-1-1-111-1-1-111-1-1-1-1-11-1-1-1-1-111-1-11-111
χ7111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-1111-11-11-1111-1-11-1-1-111
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
χ9111111111-1111-1-11111111111111-1-1-1-1-1-111111-1-11111-111-1-11-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-11-111-11-1-1-1-1111-11-1
χ10111111111-1111-1-11111111111111-1-1-1-1-1-11111-1-1-11111111-1-11-1-1111111-1-1-111111-1-111-1-1-1-1-1-1111-1-1-1111-1-111-1-1-11-11
χ11111111111-1111-1-11111111-11-1111-1-1-1-1-1-111111-1111-1-1-1-11-1-1-11111-1-1-1-1-1-1-11-1-1-1-1111-11-1-1-111-1-1-1-111-11-111-1-11-111-11
χ12111111111-1111-1-11111111-11-1111-1-1-1-1-1-11111-1-1111-1-11-11-1-1-11111-1-111-1-1-11-1-111-1-11-11-1-1-11111111-1-1-1-11111-11-1-11-1
χ13111111111-1111-1-1111111-11-11-1-11-1-1-1-1-1-1111111-1-1-111-11-1111-1-1-1-111-1-1-1-1-11-1-11111-11-1111-1-1-1-1-111-1-1-1-1111111-1-1-11
χ14111111111-1111-1-1111111-11-11-1-11-1-1-1-1-1-11111-11-1-1-11111-1111-1-1-1-11111-1-1-11-1-1-1-1-1-1-11-1111-1-1111-111-11-111-1-1-1-1111-1
χ15111111111-1111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-11111111-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-11111111-1-1111111-1-1-1-1-1-1111-1-1111-1-111-1
χ16111111111-1111-1-1111111-1-1-1-1-1-11-1-1-1-1-1-11111-111-1-1-1-11-1-111-111-1-1-1-111-1-1-1111-1-1-1-1-1-11111111111-111-11-1-1-1-1-111-1-11
χ1722222-2222022200222-2-2-222-2-2-2-220000002-2-2-200022220-2-200-200-2-2-2-200000-2-22000022000000000000-2020000000000
χ1822222-2222022200222-2-2-22-2-22-2-220000002-2-2-200022-2-202-200200-2-22200000-22-200002-200000000000020-20000000000
χ1922222-2222022200222-2-2-2-222-22220000002-2-2-2000-2-2220-2200-20022-2-200000-22-20000-2200000000000020-20000000000
χ2022222-2222022200222-2-2-2-2-2222220000002-2-2-2000-2-2-2-202200200222200000-2-220000-2-2000000000000-2020000000000
χ212222-12-12222-1-122-12-12-12020200-12-122-1-1-12-1-1202002-12-100022200-1-122-1-1-1-100002-10-1-1000-1-1-1-1-12000200000-1-10-100
χ222222-12-12222-1-122-12-12-12020200-12-122-1-1-12-1-1-202002-1-2-100022200-1-1-2-2-1-1-1-10000-210-1-1000-1-1111-2000-200000110100
χ232222-12-12222-1-122-12-12-120-20-200-12-122-1-1-12-1-120-200-2121000-2-2-2001122-1-1-1-100002-101100011-1-1-1-2000-200000-110100
χ242222-12-12222-1-122-12-12-120-20-200-12-122-1-1-12-1-1-20-200-21-21000-2-2-20011-2-2-1-1-1-10000-210110001111120002000001-10-100
χ252222-12-122-22-1-1-2-2-12-12-12020200-1-21-2-211-12-1-120-2002-1-2-10002-2-200-1-1-2-2111-100002-10-11000111112000-200000-1-10100
χ262222-12-122-22-1-1-2-2-12-12-12020200-1-21-2-211-12-1-1-20-2002-12-10002-2-200-1-122111-10000-210-1100011-1-1-1-2000200000110-100
χ272222-12-122-22-1-1-2-2-12-12-120-20-200-1-21-2-211-12-1-120200-21-21000-2220011-2-2111-100002-101-1000-1-1111-2000200000-110-100
χ282222-12-122-22-1-1-2-2-12-12-120-20-200-1-21-2-211-12-1-1-20200-2121000-222001122111-10000-2101-1000-1-1-1-1-12000-2000001-10100
χ29222-12222-12-1-12-1-12-1-1-122222222-122-1-1-1-1-1-1-120222-1-1202-1-1-1-1-1-1-1-1-1-1002-1-1-1220000-1-122-1-1-1-1000020-10-1-1-100000000
χ30222-12222-12-1-12-1-12-1-1-1222-22-222-122-1-1-1-1-1-1-1202-22-11-20-2-1-1-1111-1-111002-1-1-1-2-20000-11-22-1-1110000-201011100000000
χ31222-12222-12-1-12-1-12-1-1-122-22-22-2-2-122-1-1-1-1-1-1-120-22-21-1202111-1-1-111-1-1002-1-1-1-2-200001-12-211-1-10000-201011100000000
χ32222-12222-12-1-12-1-12-1-1-122-2-2-2-2-2-2-122-1-1-1-1-1-1-120-2-2-211-20-21111111111002-1-1-122000011-2-21111000020-10-1-1-100000000
χ33222-12222-1-2-1-12112-1-1-122222222-1-2-21111-1-1-120-2-22-1-1202-111-111-1-1-1-100-211-1220000-1-1-2-211110000-20-10-11100000000
χ34222-12222-1-2-1-12112-1-1-1222-22-222-1-2-21111-1-1-120-222-11-20-2-1111-1-1-1-11100-211-1-2-20000-112-211-1-1000020101-1-100000000
χ35222-12222-1-2-1-12112-1-1-122-22-22-2-2-1-2-21111-1-1-1202-2-21-12021-1-1-11111-1-100-211-1-2-200001-1-22-1-111000020101-1-100000000
χ36222-12222-1-2-1-12112-1-1-122-2-2-2-2-2-2-1-2-21111-1-1-12022-211-20-21-1-11-1-1111100-211-12200001122-1-1-1-10000-20-10-11100000000
χ37222-12-222-10-1-12−i3i32-1-11-2-222-2-2-2-2-100−i3i3−i3i3-111-20002-1-120-21−i3i31−i3i31111000−i3i31-220000-1-100−i3i3−i3i300000010-1−i3i300000000
χ38222-12-222-10-1-12−i3i32-1-11-2-22-2-22-2-2-100−i3i3−i3i3-111-20002-11-2021−i3i3-1i3−i311-1-1000−i3i312-20000-1100−i3i3i3−i3000000-101i3−i300000000
χ39222-12-222-10-1-12−i3i32-1-11-2-2-222-222-100−i3i3−i3i3-111-2000-21-120-2-1i3−i31−i3i3-1-111000−i3i312-200001-100i3−i3−i3i3000000-101i3−i300000000
χ40222-12-222-10-1-12−i3i32-1-11-2-2-2-22222-100−i3i3−i3i3-111-2000-211-202-1i3−i3-1i3−i3-1-1-1-1000−i3i31-2200001100i3−i3i3−i300000010-1−i3i300000000
χ41222-12-222-10-1-12i3−i32-1-11-2-222-2-2-2-2-100i3−i3i3−i3-111-20002-1-120-21i3−i31i3−i31111000i3−i31-220000-1-100i3−i3i3−i300000010-1i3−i300000000
χ42222-12-222-10-1-12i3−i32-1-11-2-22-2-22-2-2-100i3−i3i3−i3-111-20002-11-2021i3−i3-1−i3i311-1-1000i3−i312-20000-1100i3−i3−i3i3000000-101−i3i300000000
χ43222-12-222-10-1-12i3−i32-1-11-2-2-222-222-100i3−i3i3−i3-111-2000-21-120-2-1−i3i31i3−i3-1-111000i3−i312-200001-100−i3i3i3−i3000000-101−i3i300000000
χ44222-12-222-10-1-12i3−i32-1-11-2-2-2-22222-100i3−i3i3−i3-111-2000-211-202-1−i3i3-1−i3i3-1-1-1-1000i3−i31-2200001100−i3i3−i3i300000010-1i3−i300000000
χ4522-12222-122-12-122-1-1222-12020-1-1-1-12-1-122-1-12-1220-120020222000-1-100-1-1-1-1-1-10022-12-100-1-1-1002-1-100200000-1-1-10-1000
χ4622-12222-122-12-122-1-1222-12020-1-1-1-12-1-122-1-12-1-220-1200-20222000-1-10011-1-1-1-100-2-21-2-100-1-1-100-21100-20000011101000
χ4722-12222-122-12-122-1-1222-1-20-2011-1-12-1-122-1-12-12-201-20020-2-2-20001100-1-1-1-1-1-100-2-2-12100111002-1-100-20000011-101000
χ4822-12222-122-12-122-1-1222-1-20-2011-1-12-1-122-1-12-1-2-201-200-20-2-2-2000110011-1-1-1-100221-210011100-21100200000-1-110-1000
χ4922-12222-12-2-12-1-2-2-1-1222-12020-1-1-11-211-2-2-1-12-12-20-1200-202-2-2000-1-10011111-100-2-2-12-10011100-2110020000011-10-1000
χ5022-12222-12-2-12-1-2-2-1-1222-12020-1-1-11-211-2-2-1-12-1-2-20-1200202-2-2000-1-100-1-1111-100221-2-100111002-1-100-200000-1-1101000
χ5122-12222-12-2-12-1-2-2-1-1222-1-20-2011-11-211-2-2-1-12-12201-200-20-222000110011111-10022-12100-1-1-100-21100-200000-1-1-101000
χ5222-12222-12-2-12-1-2-2-1-1222-1-20-2011-11-211-2-2-1-12-1-2201-20020-2220001100-1-1111-100-2-21-2100-1-1-1002-1-1002000001110-1000
χ534444-2-4-24404-2-200-24-2-42-4040-400-2000000-2-422000004-202000-40000220000020000000-20000000000000000000000000
χ544444-2-4-24404-2-200-24-2-42-40-40400-2000000-2-42200000-420-200040000-2-2000002000000020000000000000000000000000
χ55444-2-24-24-24-21-2-2-2-2-21-2-2404040014-2-2-2111-21-200400-2-20-2000-2-2-2001100-211100000001-2000110000000000000000000
χ56444-2-24-24-24-21-2-2-2-2-21-2-240-40-40014-2-2-2111-21-200-400220200022200-1-100-21110000000-12000-1-10000000000000000000
χ57444-2-24-24-2-4-21-222-2-21-2-240404001-4222-1-11-21-200-400-2-20-2000-2220011002-1-11000000012000-1-10000000000000000000
χ58444-2-24-24-2-4-21-222-2-21-2-240-40-4001-4222-1-11-21-20040022020002-2-200-1-1002-1-110000000-1-2000110000000000000000000
χ59444-2-2-4-24-20-21-2−2i32i3-2-2122-4040-400100−2i32i3i3−i312-1200000-2-2020002−2i32i300-1-1000i3−i3-1000000010000i3−i30000000000000000000
χ60444-2-2-4-24-20-21-2−2i32i3-2-2122-40-40400100−2i32i3i3−i312-1200000220-2000-22i3−2i30011000i3−i3-10000000-10000−i3i30000000000000000000
χ61444-2-2-4-24-20-21-22i3−2i3-2-2122-4040-4001002i3−2i3−i3i312-1200000-2-20200022i3−2i300-1-1000−i3i3-1000000010000−i3i30000000000000000000
χ62444-2-2-4-24-20-21-22i3−2i3-2-2122-40-404001002i3−2i3−i3i312-1200000220-2000-2−2i32i30011000−i3i3-10000000-10000i3−i30000000000000000000
χ6344-244-44-240-24-200-2-24-4-4240-4022-2000000-22-42000-240000-4000002200000002000000-200000000000000000000000000
χ6444-244-44-240-24-200-2-24-4-42-4040-2-2-2000000-22-420002-40000400000-2-200000002000000200000000000000000000000000
χ6544-24-24-2-244-2-21441-2-24-2-20000001-2-2-2-2-2-21-2-214000000400000000000-2-211110000-2-200000000-2110000000000100000
χ6644-24-24-2-244-2-21441-2-24-2-20000001-2-2-2-2-2-21-2-21-4000000-400000000000221111000022000000002-1-10000000000-100000
χ6744-24-24-2-24-4-2-21-4-41-2-24-2-200000012222221-2-214000000-40000000000022-1-1-110000-2-2000000002-1-10000000000100000
χ6844-24-24-2-24-4-2-21-4-41-2-24-2-200000012222221-2-21-4000000400000000000-2-2-1-1-1100002200000000-2110000000000-100000
χ6944-2-2444-2-241-2-2-2-2-21-2-24-24040-2-21-2411-2-211-2-2040-2-20000-2-2-2000110000-2111000000100-211000000000000000000000
χ7044-2-2444-2-241-2-2-2-2-21-2-24-2-40-40221-2411-2-211-2-20-40220000222000-1-10000-2111000000-1002-1-1000000000000000000000
χ7144-2-2444-2-2-41-2-222-21-2-24-24040-2-212-4-1-12211-2-20-40-2-20000-2220001100002-1-110000001002-1-1000000000000000000000
χ7244-2-2444-2-2-41-2-222-21-2-24-2-40-402212-4-1-12211-2-20402200002-2-2000-1-100002-1-11000000-100-211000000000000000000000
χ7344-2-24-44-2-201-2-2−2i32i3-21-22-4240-4022100i3−i3−2i32i31-122000-2-200002−2i32i3000-1-100000i3−i3-10000001000i3−i3000000000000000000000
χ7444-2-24-44-2-201-2-2−2i32i3-21-22-42-4040-2-2100i3−i3−2i32i31-122000220000-22i3−2i30001100000i3−i3-1000000-1000−i3i3000000000000000000000
χ7544-2-24-44-2-201-2-22i3−2i3-21-22-4240-4022100−i3i32i3−2i31-122000-2-2000022i3−2i3000-1-100000−i3i3-10000001000−i3i3000000000000000000000
χ7644-2-24-44-2-201-2-22i3−2i3-21-22-42-4040-2-2100−i3i32i3−2i31-122000220000-2−2i32i30001100000−i3i3-1000000-1000i3−i3000000000000000000000
χ774-44440-4-4-4044400-4-4-40000000004000000-4000000000000000000000000000000−2i22i2000000000000000000000−2i22i2000000
χ784-44440-4-4-4044400-4-4-40000000004000000-40000000000000000000000000000002i2−2i20000000000000000000002i2−2i2000000
χ794-4-2440-42-40-24-20022-4000000023−23-2000000200000000000000000023−2300i6−i6000000−2i22i200000000000i6−i600000000i2−i2000000
χ804-4-2440-42-40-24-20022-4000000023−23-2000000200000000000000000023−2300−i6i60000002i2−2i200000000000−i6i600000000−i2i2000000
χ814-4-2440-42-40-24-20022-40000000−2323-20000002000000000000000000−232300i6−i60000002i2−2i200000000000i6−i600000000−i2i2000000
χ824-4-2440-42-40-24-20022-40000000−2323-20000002000000000000000000−232300−i6i6000000−2i22i200000000000−i6i600000000i2−i2000000
χ8388-48-4-8-4-480-4-42002-4-4-8440000002000000244-2000000000000000000000000-2000000000000000000000000000000000
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
χ888-888-404-8-808-4-4004-84000000000-400000040000000000000000000000000000000000000000000000000000000000000
χ898-88-480-8-840-4-4800-844000000000-400000040000000000000000000000000000000000000000000000000000000000000
χ908-88-4-404-840-42-40044-20000000002000000-2000000000000000000006i−6i000000000000000000000000000000000000000
χ918-88-4-404-840-42-40044-20000000002000000-200000000000000000000−6i6i000000000000000000000000000000000000000
χ928-8-48-4044-80-4-4200-2440000000002000000-200000000000000000000002i6−2i60000000000000000000−i6i60000000000000000
χ938-8-48-4044-80-4-4200-2440000000002000000-20000000000000000000000−2i62i60000000000000000000i6−i60000000000000000
χ948-8-4-480-84402-4-4004-24000000043−432000000-2000000000000000000−232300000000000000000000000000000000000000000
χ958-8-4-480-84402-4-4004-240000000−43432000000-200000000000000000023−2300000000000000000000000000000000000000000
χ9616-16-8-8-80888044400-4-4-4000000000-200000020000000000000000000000000000000000000000000000000000000000000

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