Finite Group Databasebeta

← Group #13171656

Character table — Group #13171656

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size11222222244444444444466666666888888888889912121212121212121212121212121212121216161616181818242424242424242424242424242436363636363636364872727272108108
order1233346663334666121212121222446666361212121212121212122244466666681212121212121212121212124661212121212121212121224242424224881212121266242448
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1111111-111111111111111111-1-1111111-1-1-1-1-1-11-1-1111-1-1-1-1-1-1-1
χ31111111111111111111111-11-111-1-111111111111-1-11-111-111-1-111-1111-1-1-11111-1-1-11-111111-1-1-111111-1-11-1-1-1-111-11-1-1-1
χ41111111111111111111111-11-111-1-111111111111-1-11-1-11-111-1-1-11-1111-1-1-11111-1-1-11-1-1-1111-1-1-1-1-1-1-1-11-1-11-1-1-1-1-11-1111
χ5111111111111111111111-11-11-1-11111111111111-1-1-111-11-1-1111-11-1-1-11111111-1-1-1-1111-1-1-11111111-11-1-11-1-1-11-11-11-1-1
χ6111111111111111111111-11-11-1-11111111111111-1-1-11-1-11-1-111-1-11-1-1-11111111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-11-1-1-1-1-11-11-111
χ7111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-11111-1-11-1-11111-1-1-1-111
χ8111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-11111-1-1
χ9111111111111-11111-1-1111111111111-1-111-1-1-1-1111-1-11111111-1111-1-11-1-1-11-1-1111-1-1111-1-11-1-1-1-1-1-111-1-1-11-1-1111-1-11-1
χ10111111111111-11111-1-1111111111111-1-111-1-1-1-1111-1-1-11111111111-1-11-1-1-11-1-1111-1-1-1-11-1-11-1-11111-1-1-1111-1-1-1-1-111-11
χ11111111111111-11111-1-1111-11-111-1-111-1-111-1-1-1-11-1-1-1111-111-1-1-11-11-1-1-111-11-1-1-1-1-1-11111-1-1-111-1-1-1-11-11-11-11111-1-11-11
χ12111111111111-11111-1-1111-11-111-1-111-1-111-1-1-1-11-1-1-11-11-111-1-111-11-1-1-111-11-1-1-1-1-1-11-1-11-1-1-1111111-1111-1-111-1-111-11-1
χ13111111111111-11111-1-111-11-11-1-11111-1-111-1-1-1-11-1-11-11-11-1-111-1-11-1111-1-1-11-1-1-1-1-11-111-1111-1-1-1-1-1-1-1111-1-1111-111-1-11
χ14111111111111-11111-1-111-11-11-1-11111-1-111-1-1-1-11-1-11-1-1-11-1-1111-11-1111-1-1-11-1-1-1-1-11-1-1-1-1111-1-111111-11-11-111-11-1-111-1
χ15111111111111-11111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111-111-11-1-11111111-111-111-1-1-1-1-1-1-1111-1-11-1-1111-1
χ16111111111111-11111-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-111111-1-1-1-1-1-1-11-1-1-111-111-11-1-111111-1-1-111-111111111-1-1-11-1-1-111-1-1-11
χ1722222-22222220222-200-2-222-2-222222200-2-20000-2220002222220-2-2-200-2000-200-2220000-200-200000000000-2000000000
χ1822222-22222220222-200-2-22-2-2222-2-22200-2-20000-2-2-20002-222-2-20-22-2002000-2002-2-20000-2002000000000002000000000
χ1922222-22222220222-200-2-2-222-2-2-2222200-2-20000-2-2-2000-22-2-22202-2200-2000-2002-2-20000200-2000000000002000000000
χ2022222-22222220222-200-2-2-2-222-2-2-2-22200-2-20000-222000-2-2-2-2-2-20222002000-200-2220000200200000000000-2000000000
χ212222-122-12-12-12-12-12222-102020022-1-12-12-122-1-1-1000220-100-1-120-1000222-1-1-1-10000-12-1000-1-1-12-1-1-102002000-10-10-100
χ222222-122-12-12-12-12-12222-102020022-1-12-12-122-1-1-10002-20-100-1-1-20-1000222-1-1-1-10000-1-21000-1-1-1-21110-200-20001010100
χ232222-122-12-12-12-12-12222-10-20-200-2-2-1-12-12-122-1-1-1000-22010011201000-2-2-2-1-1-1-1000012-10001112-1-1-10-200-2000-1010100
χ242222-122-12-12-12-12-12222-10-20-200-2-2-1-12-12-122-1-1-1000-2-2010011-201000-2-2-2-1-1-1-100001-21000111-21110200200010-10-100
χ252222-122-12-12-1-2-12-12-2-22-102020022-1-1-212-1-2-211-1000-220-100-1-1-20-10002-2-21-111000012-1000-111-21110200-2000-10-10100
χ262222-122-12-12-1-2-12-12-2-22-102020022-1-1-212-1-2-211-1000-2-20-100-1-120-10002-2-21-11100001-21000-1112-1-1-10-20020001010-100
χ272222-122-12-12-1-2-12-12-2-22-10-20-200-2-2-1-1-212-1-2-211-100022010011-201000-2221-1110000-12-10001-1-1-21110-2002000-1010-100
χ282222-122-12-12-1-2-12-12-2-22-10-20-200-2-2-1-1-212-1-2-211-10002-2010011201000-2221-1110000-1-210001-1-12-1-1-10200-200010-10100
χ29222-122-122-1-122-1-12222-1220202200-1-1-12-12-1-122-100202-10-1-1002-10222000-1-1-1-1000-10-12-1-1-1000-12-1-120020000-1-10-1000
χ30222-122-122-1-122-1-12222-1220202200-1-1-12-12-1-122-10020-2-10-1-100-2-10222000-1-1-1-1000-101-2-1-1-10001-211-200-200001101000
χ31222-122-122-1-122-1-12222-12-20-20-2-200-1-1-12-12-1-122-100-202101100210-2-2-2000-1-1-1-100010-12111000-12-1-1-200-20000-1101000
χ32222-122-122-1-122-1-12222-12-20-20-2-200-1-1-12-12-1-122-100-20-2101100-210-2-2-2000-1-1-1-1000101-21110001-211200200001-10-1000
χ33222-122-122-1-12-2-1-122-2-2-1220202200-1-11-2-1211-2-2-100-202-10-1-100-2-102-2-20001-11100010-12-1110001-211200-20000-1-101000
χ34222-122-122-1-12-2-1-122-2-2-1220202200-1-11-2-1211-2-2-100-20-2-10-1-1002-102-2-20001-111000101-2-111000-12-1-1-20020000110-1000
χ35222-122-122-1-12-2-1-122-2-2-12-20-20-2-200-1-11-2-1211-2-2-100202101100-210-2220001-111000-10-121-1-10001-211-20020000-110-1000
χ36222-122-122-1-12-2-1-122-2-2-12-20-20-2-200-1-11-2-1211-2-2-10020-2101100210-2220001-111000-101-21-1-1000-12-1-1200-200001-101000
χ3722-122222-12-1-122-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122222022-1-1-1-1022-1-1-1-1-1-12-1-1-12-1-12200-1-1-1-1-1-1000000200-1-1-10000000
χ3822-122222-12-1-122-1-1-1-1-1222-22-2-1-111-1-122-1-1-1-1-1-12-2-22-202-2-1-11102-2-1-1-11112-1-1-1-2112-200-1-1-1111000000-2001110000000
χ3922-122222-12-1-122-1-1-1-1-122-22-2211-1-1-1-122-1-1-1-1-1-12-2-2-220-2211-1-10-22111-1-1-12-1-1-1-211-2200111-1-1-1000000-2001110000000
χ4022-122222-12-1-122-1-1-1-1-122-2-2-2-21111-1-122-1-1-1-1-1-1222-2-20-2-211110-2-21111112-1-1-12-1-1-2-200111111000000200-1-1-10000000
χ4122-122222-12-1-1-22-1-1-111222222-1-1-1-1-1-1-2-2-1-11111222-2-2022-1-1-1-1022-111-111-2-1112-1-1-2-200-111-111000000-200-1110000000
χ4222-122222-12-1-1-22-1-1-111222-22-2-1-111-1-1-2-2-1-111112-2-2-2202-2-1-11102-2-1111-1-1-2-111-211-2200-1111-1-10000002001-1-10000000
χ4322-122222-12-1-1-22-1-1-11122-22-2211-1-1-1-1-2-2-1-111112-2-22-20-2211-1-10-221-1-1-111-2-111-2112-2001-1-1-1110000002001-1-10000000
χ4422-122222-12-1-1-22-1-1-11122-2-2-2-21111-1-1-2-2-1-11111222220-2-211110-2-21-1-11-1-1-2-1112-1-122001-1-11-1-1000000-200-1110000000
χ4522-122-222-12-1-102-1-11−i3i3-2-222-2-2-1-1-1-1-1-10011−i3i3−i3i3-22200022-1-1-1-10-2-21−i3i31−i3i301−i3i3-2-1-100001−i3i31−i3i30000000001−i3i30000000
χ4622-122-222-12-1-102-1-11−i3i3-2-22-2-22-1-111-1-10011−i3i3−i3i3-2-2-20002-2-1-1110-221−i3i3-1i3−i301−i3i321100001−i3i3-1i3−i3000000000-1i3−i30000000
χ4722-122-222-12-1-102-1-11−i3i3-2-2-222-211-1-1-1-10011−i3i3−i3i3-2-2-2000-2211-1-102-2-1i3−i31−i3i301−i3i32110000-1i3−i31−i3i3000000000-1i3−i30000000
χ4822-122-222-12-1-102-1-11−i3i3-2-2-2-2221111-1-10011−i3i3−i3i3-222000-2-21111022-1i3−i3-1i3−i301−i3i3-2-1-10000-1i3−i3-1i3−i30000000001−i3i30000000
χ4922-122-222-12-1-102-1-11i3−i3-2-222-2-2-1-1-1-1-1-10011i3−i3i3−i3-22200022-1-1-1-10-2-21i3−i31i3−i301i3−i3-2-1-100001i3−i31i3−i30000000001i3−i30000000
χ5022-122-222-12-1-102-1-11i3−i3-2-22-2-22-1-111-1-10011i3−i3i3−i3-2-2-20002-2-1-1110-221i3−i3-1−i3i301i3−i321100001i3−i3-1−i3i3000000000-1−i3i30000000
χ5122-122-222-12-1-102-1-11i3−i3-2-2-222-211-1-1-1-10011i3−i3i3−i3-2-2-2000-2211-1-102-2-1−i3i31i3−i301i3−i32110000-1−i3i31i3−i3000000000-1−i3i30000000
χ5222-122-222-12-1-102-1-11i3−i3-2-2-2-2221111-1-10011i3−i3i3−i3-222000-2-21111022-1−i3i3-1−i3i301i3−i3-2-1-10000-1−i3i3-1−i3i30000000001i3−i30000000
χ534444-2-44-24-24-20-24-2-400-42040-40044-2-200-4200002000000-200-2-2002000-400020000000000002000000000000000000000
χ544444-2-44-24-24-20-24-2-400-420-40400-4-4-2-200-42000020000002002200-200040002000000000000-2000000000000000000000
χ55444-24-4-244-2-240-2-24-4002-440-404400-2-2002-40000200000-20-2-200020-400000020000000002000000000000000000000000
χ56444-24-4-244-2-240-2-24-4002-4-4040-4-400-2-2002-400002000002022000-2040000002000000000-2000000000000000000000000
χ57444-2-24-2-241-2-241-2-2444-2-20000000011-2-2-2-2-2-2-2-2100004000000400000000111100000-2-2000000-2-211000000001000000
χ58444-2-24-2-241-2-241-2-2444-2-20000000011-2-2-2-2-2-2-2-210000-4000000-4000000001111000002200000022-1-100000000-1000000
χ59444-2-24-2-241-2-2-41-2-24-4-4-2-2000000001122-2-22222100004000000-400000000-11-1-100000-2-200000022-1-1000000001000000
χ60444-2-24-2-241-2-2-41-2-24-4-4-2-2000000001122-2-2222210000-4000000400000000-11-1-10000022000000-2-21100000000-1000000
χ6144-24-244-2-2-2-214-2-21-2-2-24-2040400-2-2114-2-21-2-211-2000400-2001100-2000-2-2-2-21110000-2000001110000000000000000000
χ6244-24-244-2-2-2-214-2-21-2-2-24-20-40-40022114-2-21-2-211-2000-400200-1-1002000222-21110000200000-1-1-10000000000000000000
χ6344-24-244-2-2-2-21-4-2-21-2224-2040400-2-211-42-2122-1-1-2000-400-2001100-2000-22221-1-100002000001-1-10000000000000000000
χ6444-24-244-2-2-2-21-4-2-21-2224-20-40-4002211-42-2122-1-1-2000400200-1-10020002-2-221-1-10000-200000-1110000000000000000000
χ6544-24-2-44-2-2-2-210-2-212−2i32i3-42040-400-2-211002-1−2i32i3i3−i32000000-200110020002−2i32i30-1i3−i30000000000-1i3−i30000000000000000000
χ6644-24-2-44-2-2-2-210-2-212−2i32i3-420-404002211002-1−2i32i3i3−i32000000200-1-100-2000-22i3−2i30-1i3−i300000000001−i3i30000000000000000000
χ6744-24-2-44-2-2-2-210-2-2122i3−2i3-42040-400-2-211002-12i3−2i3−i3i32000000-2001100200022i3−2i30-1−i3i30000000000-1−i3i30000000000000000000
χ6844-24-2-44-2-2-2-210-2-2122i3−2i3-420-404002211002-12i3−2i3−i3i32000000200-1-100-2000-2−2i32i30-1−i3i300000000001i3−i30000000000000000000
χ6944-2-244-24-2-21-24-21-2-2-2-2-244040-2-20011-241-211-2-2-200400-2011000-20-2-2-2000-2111000-20001110000000000000000000000
χ7044-2-244-24-2-21-24-21-2-2-2-2-24-40-40220011-241-211-2-2-200-40020-1-100020222000-21110002000-1-1-10000000000000000000000
χ7144-2-244-24-2-21-2-4-21-2-222-244040-2-200112-41-2-1-122-200-400-2011000-20-22200021-1-100020001-1-10000000000000000000000
χ7244-2-244-24-2-21-2-4-21-2-222-24-40-402200112-41-2-1-122-20040020-1-1000202-2-200021-1-1000-2000-1110000000000000000000000
χ7344-2-24-4-24-2-21-20-21-22−2i32i32-440-40-2-2001100-12i3−i3−2i32i3200000-2011000202−2i32i30000-1i3−i30000000-1i3−i30000000000000000000000
χ7444-2-24-4-24-2-21-20-21-22−2i32i32-4-404022001100-12i3−i3−2i32i320000020-1-1000-20-22i3−2i30000-1i3−i300000001−i3i30000000000000000000000
χ7544-2-24-4-24-2-21-20-21-222i3−2i32-440-40-2-2001100-12−i3i32i3−2i3200000-20110002022i3−2i30000-1−i3i30000000-1−i3i30000000000000000000000
χ7644-2-24-4-24-2-21-20-21-222i3−2i32-4-404022001100-12−i3i32i3−2i320000020-1-1000-20-2−2i32i30000-1−i3i300000001i3−i30000000000000000000000
χ774-44440-4-4-44440-4-4-400000000000004-40000000004-4000000000000000000000004-400000000000000000000000000000
χ784-44440-4-4-44440-4-4-400000000000004-4000000000-4400000000000000000000000-4400000000000000000000000000000
χ794-4-2440-4-424-2-20-422000000000−2i32i3−2i32i3-220000000004-400000−2i32i3−2i32i300000000000000-2200000000000000000000000000000
χ804-4-2440-4-424-2-20-422000000000−2i32i32i3−2i3-22000000000-4400000−2i32i32i3−2i3000000000000002-200000000000000000000000000000
χ814-4-2440-4-424-2-20-4220000000002i3−2i3−2i32i3-22000000000-44000002i3−2i3−2i32i3000000000000002-200000000000000000000000000000
χ824-4-2440-4-424-2-20-4220000000002i3−2i32i3−2i3-220000000004-4000002i3−2i32i3−2i300000000000000-2200000000000000000000000000000
χ83888-4-4-8-4-482-4-402-4-4-80044000000002200440000-2000000000000000000000-20000000000000000000000000000000000
χ8488-4-4-48-4-4-42228222-4-4-4-4-400000000-1-1-4-42222222000000000000000000002-1-1-100000000000000000000000000000000
χ8588-4-4-48-4-4-4222-8222-444-4-400000000-1-14422-2-2-2-2200000000000000000000-2-11100000000000000000000000000000000
χ8688-4-4-4-8-4-4-422202224−4i34i34400000000-1-100-2-22i3−2i32i3−2i3-20000000000000000000001−i3i300000000000000000000000000000000
χ8788-4-4-4-8-4-4-4222022244i3−4i34400000000-1-100-2-2−2i32i3−2i32i3-20000000000000000000001i3−i300000000000000000000000000000000
χ888-888-40-84-8-48-404-840000000000000-4400000000000000000000000000000000000000000000000000000000000000000
χ898-88-4804-8-8-4-48044-80000000000000-4400000000000000000000000000000000000000000000000000000000000000000
χ908-88-4-4044-82-4-40-24400000000000002-200000000000000000000000000000000000000000000000032−32000000000000000
χ918-88-4-4044-82-4-40-24400000000000002-2000000000000000000000000000000000000000000000000−3232000000000000000
χ928-8-48-40-844-4-42044-200000000000−4i34i32-20000000000000000002i3−2i3000000000000000000000000000000000000000000000
χ938-8-48-40-844-4-42044-2000000000004i3−4i32-2000000000000000000−2i32i3000000000000000000000000000000000000000000000
χ948-8-4-4804-84-42-404-24000000000−4i34i3002-200000000000000002i3−2i300000000000000000000000000000000000000000000000
χ958-8-4-4804-84-42-404-240000000004i3−4i3002-20000000000000000−2i32i300000000000000000000000000000000000000000000000
χ9616-16-8-8-808884440-4-4-40000000000000-2200000000000000000000000000000000000000000000000000000000000000000

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