Finite Group Databasebeta

← Group #13172274

Character table — Group #13172274

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222444444444444466888888888888888881212121212121212121212121212121212181824242424242424242424242424242424242436363636363636363636365454727272108
order122233366666666623336666666664436666666666666666444441212121212121212121212124412121212121212121212121212121212121244444121212121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-11-111111111-1-1-1-1-1-11-1-111111111111-1-1-1-11-1-11-111-1-1-1-1-1-11-1-1-1
χ31111111111111111111111111111111111111111111111111-11-1111-1-1-1-1111111-1-11111-1-11111-1-1-1-11111-11-1-11-1-111-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1111-1-11-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-111
χ511111111111111111111111111111-1-111111111111111111-11111-1-11111-1-1111111-111-111-1-1-1-111111111-1-11-1-1-1-1-1-111-1-1-1-11-1
χ611111111111111111111111111111-1-111111111111111111-11-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-11-1-11-1-111-1-111-11-11
χ711111111111111111111111111111-1-111111111111111111-1-11-11-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-11-111-1-1-1-1111-1-11
χ811111111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1111-1
χ91111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-11111-1-1-1-1-11-1-11-111-1-111-1-111-1-1-1-111111-1-1-1-1-1-1-1111
χ101111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-111111-1-111-1-11111-1-11-11-111-1-111-1-1-1-111-11-11-111111111-1-1-1-1
χ111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-111-1-1111111-1-111-11-1-1-1111-1-1-1-11111-1-11-1-1-11-1-1-1-1111111-1-1
χ121111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-11-1-1111-1-1-1-111-1-111111-1-1-1-111-1-1-1-11-111
χ131111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1-111-1-1-1-111-1-1-1-111-111-1-1-11111-1-111-1-1111-1-1-1-111-1-1111-11-1
χ141111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-11-1-111-1-1-1-1-1-111111-1111-1-1-11111-1-1-1-1111-1-1-11-1-1-1-111-1-111-11
χ151111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-1-1-1-111-1-111-1-11111-11-11-1-111-1-11111-1-1-11-11-1111111-1-1-1-1-11
χ161111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-11-111-11-1-111-1-111-1-111-1-111111-1-1-1-111-111-1
χ17222222-122-12222-1-122-1-12-1-122-1-1-1-100-122-122-1-1-1-1-1-1-1-1-1-1-1022220022-1-100-1-1222202-10-120000-1-1-1-1-1-1-1-1002000000-1-10000-10
χ18222222-122-12222-1-122-1-12-1-122-1-1-1-100-122-122-1-1-1-1-1-1-1-1-1-1-102-22-20022-1-10011-2-2-2-20-210-120000-1-1-1-1111100-200000011000010
χ19222222-122-12222-1-122-1-12-1-122-1-1-1-100-122-122-1-1-1-1-1-1-1-1-1-1-10-22-2200-2-21100-1-122-2-202-101-200001111-1-1-1-100-200000011000010
χ20222222-122-12222-1-122-1-12-1-122-1-1-1-100-122-122-1-1-1-1-1-1-1-1-1-1-10-2-2-2-200-2-2110011-2-2220-2101-2000011111111002000000-1-10000-10
χ21222222-122-12222-1-1-22-1-12-1-122-1-1-1-100-1-2-21-2-21111-1-1-11111022-2-200221100-1-1-2-2-2-20210-1-20000-1-111-1-111002000000110000-10
χ22222222-122-12222-1-1-22-1-12-1-122-1-1-1-100-1-2-21-2-21111-1-1-1111102-2-22002211001122220-2-10-1-20000-1-11111-1-100-2000000-1-1000010
χ23222222-122-12222-1-1-22-1-12-1-122-1-1-1-100-1-2-21-2-21111-1-1-111110-222-200-2-2-1-100-1-1-2-222021012000011-1-1-1-11100-2000000-1-1000010
χ24222222-122-12222-1-1-22-1-12-1-122-1-1-1-100-1-2-21-2-21111-1-1-111110-2-22200-2-2-1-1001122-2-20-2-1012000011-1-111-1-1002000000110000-10
χ2522222-122-1222-1-1222-12-1-12-1-1-122-1-122-12-12-1-122-1-1-1-1-1-1-1-1-120202-1-100002222-1-1002-12-100-1-1-1-10000-1-1-1-10200200-1-100000-100
χ2622222-122-1222-1-1222-12-1-12-1-1-122-1-122-12-12-1-122-1-1-1-1-1-1-1-1-120-20-2-1-1000022-2-2110021-2-100-1-1-1-1000011110-200-2001100000100
χ2722222-122-1222-1-1222-12-1-12-1-1-122-1-1-2-2-12-12-1-122-1-1-1-1-1-1-1-1-1-20202110000-2-222-1-100-2-1210011110000-1-1-1-10-200-2001100000100
χ2822222-122-1222-1-1222-12-1-12-1-1-122-1-1-2-2-12-12-1-122-1-1-1-1-1-1-1-1-1-20-20-2110000-2-2-2-21100-21-21001111000011110200200-1-100000-100
χ2922222-122-1222-1-122-2-12-1-12-1-1-122-1-122-1-21-211-2-211-1-1-11111-2020-2-1-1000022221100-2-1-2100-1-1110000-1-1110-2002001100000-100
χ3022222-122-1222-1-122-2-12-1-12-1-1-122-1-122-1-21-211-2-211-1-1-11111-20-202-1-1000022-2-2-1-100-212100-1-111000011-1-10200-200-1-100000100
χ3122222-122-1222-1-122-2-12-1-12-1-1-122-1-1-2-2-1-21-211-2-211-1-1-111112020-2110000-2-22211002-1-2-10011-1-10000-1-1110200-200-1-100000100
χ3222222-122-1222-1-122-2-12-1-12-1-1-122-1-1-2-2-1-21-211-2-211-1-1-1111120-202110000-2-2-2-2-1-100212-10011-1-1000011-1-10-2002001100000-100
χ332222-122-122-1-122222-1-12-1-12-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-1-12202022-1-122-1-1000000-10022-1-1-1-1-1-1-1-1-1000020020-1-1000000-1000
χ342222-122-122-1-122222-1-12-1-12-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-1-12-20-202211-2-2-1-1000000-1002-21-1-1-1-111110000-200-20110000001000
χ352222-122-122-1-122222-1-12-1-12-1-1-1-122-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-22020-2-2-1-12211000000100-22-11111-1-1-1-10000-200-20110000001000
χ362222-122-122-1-122222-1-12-1-12-1-1-1-122-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-2-20-20-2-211-2-211000000100-2-2111111111000020020-1-1000000-1000
χ372222-122-122-1-12222-2-1-12-1-12-1-1-1-12222-11-2-21111-2-2-1-1-11111-220-2022-1-1-2-2-1-1000000100-221-1-111-1-1110000-20020-1-10000001000
χ382222-122-122-1-12222-2-1-12-1-12-1-1-1-12222-11-2-21111-2-2-1-1-11111-2-2020221122-1-1000000100-2-2-1-1-11111-1-10000200-2011000000-1000
χ392222-122-122-1-12222-2-1-12-1-12-1-1-1-122-2-2-11-2-21111-2-2-1-1-11111220-20-2-2-1-1-2-211000000-10022111-1-1-1-1110000200-2011000000-1000
χ402222-122-122-1-12222-2-1-12-1-12-1-1-1-122-2-2-11-2-21111-2-2-1-1-111112-2020-2-2112211000000-1002-2-111-1-111-1-10000-20020-1-10000001000
χ412-2-22222-2-222-22-2-2-202222-2-2-2-22-22-22i−2i20000000002-2-20000000002i−2i00002i−2i00002i−2i0000002i−2i00000000000000000002i−2i2-20000
χ422-2-22222-2-222-22-2-2-202222-2-2-2-22-22-22i−2i20000000002-2-20000000002i−2i00002i−2i0000−2i2i0000002i−2i0000000000000000000−2i2i-220000
χ432-2-22222-2-222-22-2-2-202222-2-2-2-22-22-2−2i2i20000000002-2-2000000000−2i2i0000−2i2i00002i−2i000000−2i2i00000000000000000002i−2i-220000
χ442-2-22222-2-222-22-2-2-202222-2-2-2-22-22-2−2i2i20000000002-2-2000000000−2i2i0000−2i2i0000−2i2i000000−2i2i0000000000000000000−2i2i2-20000
χ4544444-2-24-2-244-2-2-2-24-2-21-2-21-2-2-2-2110014-2-2-2-2-2-21111111110040400000000-2-2-2-2000-2-200000000000111100000000000000000
χ4644444-2-24-2-244-2-2-2-24-2-21-2-21-2-2-2-2110014-2-2-2-2-2-211111111100-40-40000000022220002200000000000-1-1-1-100000000000000000
χ4744444-2-24-2-244-2-2-2-2-4-2-21-2-21-2-2-2-211001-4222222-1-1111-1-1-1-10040-400000000-2-222000-220000000000011-1-100000000000000000
χ4844444-2-24-2-244-2-2-2-2-4-2-21-2-21-2-2-2-211001-4222222-1-1111-1-1-1-100-4040000000022-2-20002-200000000000-1-11100000000000000000
χ494444-24-2-24-2-2-244-2-24-21-2-21-2-2-211-2-2001-24-2-2-211-2-211111110404000-2-2-2-2000000000000-2-200001111000000000000000000000
χ504444-24-2-24-2-2-244-2-24-21-2-21-2-2-211-2-2001-24-2-2-211-2-211111110-40-40002222000000000000220000-1-1-1-1000000000000000000000
χ514444-24-2-24-2-2-244-2-2-4-21-2-21-2-2-211-2-20012-4222-1-122111-1-1-1-1040-4000-2-222000000000000-22000011-1-1000000000000000000000
χ524444-24-2-24-2-2-244-2-2-4-21-2-21-2-2-211-2-20012-4222-1-122111-1-1-1-10-40400022-2-20000000000002-20000-1-111000000000000000000000
χ534444-2-24-2-24-2-2-2-24441-2-21-2-211-2-2-2-2441-2-2411-2-2-2-2111111140000-2-20000-2-2000000-200-20011110000000000000000000000000
χ544444-2-24-2-24-2-2-2-24441-2-21-2-211-2-2-2-2-4-41-2-2411-2-2-2-21111111-4000022000022000000200200-1-1-1-10000000000000000000000000
χ554444-2-24-2-24-2-2-2-244-41-2-21-2-211-2-2-2-244122-4-1-12222111-1-1-1-1-40000-2-20000-2-200000020020011-1-10000000000000000000000000
χ564444-2-24-2-24-2-2-2-244-41-2-21-2-211-2-2-2-2-4-4122-4-1-12222111-1-1-1-14000022000022000000-200-200-1-1110000000000000000000000000
χ5744-4-44444-4-4-4-4-444-40444-4-444-4-44-4-4004000000000-44-40000000000000000000000000000000000000000000000000000000000
χ5844-4-444-24-42-4-4-44-2204-2-2-42-24-42-22200-20000000002-220000000000000000023−2300000000000000000023−230000000000000000000
χ5944-4-444-24-42-4-4-44-2204-2-2-42-24-42-22200-20000000002-2200000000000000000−2323000000000000000000−23230000000000000000000
χ6044-4-44-2442-4-4-42-24-40-24-22-4-2-22-442200-20000000002-22000000000000000000023−2300000000000000000023−2300000000000000000
χ6144-4-44-2442-4-4-42-24-40-24-22-4-2-22-442200-20000000002-220000000000000000000−2323000000000000000000−232300000000000000000
χ6244-4-44-2-2422-4-42-2-220-2-21221-222-2-1-100100000003-3-11-133-3-3000000000000023−2323−230000000000000000−33−3300000000000000000
χ6344-4-44-2-2422-4-42-2-220-2-21221-222-2-1-100100000003-3-11-133-3-30000000000000−2323−232300000000000000003−33−300000000000000000
χ6444-4-44-2-2422-4-42-2-220-2-21221-222-2-1-10010000000-33-11-1-3-333000000000000023−23−23230000000000000000−333−300000000000000000
χ6544-4-44-2-2422-4-42-2-220-2-21221-222-2-1-10010000000-33-11-1-3-3330000000000000−232323−2300000000000000003−3−3300000000000000000
χ6644-4-4-244-2-4-422-444-40-2-24224-222-2-4-400-20000000002-22000000000000000000000000000000000000000000000023−230000000000
χ6744-4-4-244-2-4-422-444-40-2-24224-222-2-4-400-20000000002-220000000000000000000000000000000000000000000000−23230000000000
χ684-44-4444-44-4-44-4-4-440444-44-4-44-4-4-44004000000000-4-440000000000000000000000000000000000000000000000000000000000
χ694-44-444-2-442-44-4-42-204-2-2-4-22-44222-200-200000000022-2000000000000023−230000000000000000000023−23000000000000000000000
χ704-44-444-2-442-44-4-42-204-2-2-4-22-44222-200-200000000022-20000000000000−232300000000000000000000−2323000000000000000000000
χ714-44-44-24-4-2-4-4422-440-24-22422-2-4-42-200-200000000022-200000000000000000000000000000000000000000000000023−2300000000
χ724-44-44-24-4-2-4-4422-440-24-22422-2-4-42-200-200000000022-2000000000000000000000000000000000000000000000000−232300000000
χ734-44-4-24424-42-2-4-4-440-2-242-2-42-222-4400-200000000022-20000000000023−230000000000000000000023−2300000000000000000000000
χ744-44-4-24424-42-2-4-4-440-2-242-2-42-222-4400-200000000022-200000000000−232300000000000000000000−232300000000000000000000000
χ754-44-4-24-22422-2-4-42-20-21-22122-2-1-12-2001000003-300-1-113-33-3000000023−2323−23000000000000000000−33−33000000000000000000000
χ764-44-4-24-22422-2-4-42-20-21-22122-2-1-12-2001000003-300-1-113-33-30000000−2323−23230000000000000000003−33−3000000000000000000000
χ774-44-4-24-22422-2-4-42-20-21-22122-2-1-12-200100000-3300-1-11-33-33000000023−23−2323000000000000000000−333−3000000000000000000000
χ784-44-4-24-22422-2-4-42-20-21-22122-2-1-12-200100000-3300-1-11-33-330000000−232323−230000000000000000003−3−33000000000000000000000
χ794-4-4444-2-4-4-24-44-42204-2-2422-4-4-22-2200-2000000000-2220000000000000000000004i−4i000000000000000000000000000−2i2i000000
χ804-4-4444-2-4-4-24-44-42204-2-2422-4-4-22-2200-2000000000-222000000000000000000000−4i4i0000000000000000000000000002i−2i000000
χ814-4-444-24-4244-4-22-4-40-24-2-2-42224-4-224i−4i-2000000000-222000000000−2i2i00004i−4i000000000000−2i2i000000000000000000000000000
χ824-4-444-24-4244-4-22-4-40-24-2-2-42224-4-22−4i4i-2000000000-2220000000002i−2i0000−4i4i0000000000002i−2i000000000000000000000000000
χ834-4-44-2442-44-224-4-4-40-2-24-22-422-224-44i−4i-2000000000-2220000000004i−4i0000−2i2i000000000000−2i2i000000000000000000000000000
χ844-4-44-2442-44-224-4-4-40-2-24-22-422-224-4−4i4i-2000000000-222000000000−4i4i00002i−2i0000000000002i−2i000000000000000000000000000
χ854-4-44-2-24224-22-22-4-401-2-2122-1-1-22-224i−4i10003-300001-1-13-3-3300000−2i2i0000−2i2i000000000000i−i3i−3i0000000000000000000000000
χ864-4-44-2-24224-22-22-4-401-2-2122-1-1-22-224i−4i1000-3300001-1-1-333-300000−2i2i0000−2i2i000000000000i−i−3i3i0000000000000000000000000
χ874-4-44-2-24224-22-22-4-401-2-2122-1-1-22-22−4i4i10003-300001-1-13-3-33000002i−2i00002i−2i000000000000−ii−3i3i0000000000000000000000000
χ884-4-44-2-24224-22-22-4-401-2-2122-1-1-22-22−4i4i1000-3300001-1-1-333-3000002i−2i00002i−2i000000000000−ii3i−3i0000000000000000000000000
χ898888-4-4-4-4-4-4-4-4-4-4-4-4822222222222200-1-4-4-4222222-1-1-1-1-1-1-1000000000000000000000000000000000000000000000000000000
χ908888-4-4-4-4-4-4-4-4-4-4-4-4-822222222222200-1444-2-2-2-2-2-2-1-1-11111000000000000000000000000000000000000000000000000000000
χ9188-8-8-48-4-4-8444-88-440-42-44-2-4-44-2244002000000000-22-20000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-48-44-8444-48-802-4-4-24-42-24-444002000000000-22-20000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4-4-444444-4-440222-2-222-2-22-2-200-100000006-61-11-3-333000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-4-444444-4-440222-2-222-2-22-2-200-10000000-661-1133-3-3000000000000000000000000000000000000000000000000000000
χ958-88-88-4-4-8-44-88444-40-4-424-4-24-444-22002000000000-2-220000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-484-4-84-444-8802-4-4-2-44-22444-4002000000000-2-220000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-44-444-4444-40222-22-2-22-2-2-2200-1000006-60011-1-33-33000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-44-444-4444-40222-22-2-22-2-2-2200-100000-660011-13-33-3000000000000000000000000000000000000000000000000000000
χ998-8-888-4-4-84-48-8-44440-4-42-44-244-442-20020000000002-2-20000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48-44-8-4-448-8440-42-4-4-24442-2-440020000000002-2-20000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-444-4-44-444402222-2-2-2-22-22-200-10006-60000-111-333-3000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-444-4-44-444402222-2-2-2-22-22-200-1000-660000-1113-3-33000000000000000000000000000000000000000000000000000000

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