Finite Group Databasebeta

← Group #13172884

Character table — Group #13172884

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222444444444444466888888888888888881212121212121212121212121212121212181824242424242424242424242424242424242436363636363636363636365454727272108
order12223336666666662333666666666443666666666666666622444661212121212121212121222666666612121212121212121212122444466661212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-111-1-111111111-1-11111-1-1-1-1-11-11-1-1-1-1-111-1-11-1-1-1
χ31111111111111111111111111111111111111111111111111-1-111-1-111-1-1111111-1-111-111-1-1-11111-1-111111-11-1-111-1-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111
χ511111111111111111111111111111-1-111111111111111111-1111111-1-1111111-1-111-1-11-1-111111-1-1111111-1-1-1-11-1-111-1-1-1-1-1-11-1
χ611111111111111111111111111111-1-111111111111111111-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-1-1-11-11-1-111-1-1-1-111-11-11
χ711111111111111111111111111111-1-111111111111111111-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-11-1-1-1-1-111111-1-11
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
χ91111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-11111-1-111-1-111-1-1-1-11-1-111-11-111-1-111-1-1-1-1111-1-1-1-111-1-1-1111
χ101111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-111111-1-1-1-1111111-1-11-1-111-1-1111-1-1-1-1111-1-11-111111111-1-1-1-1
χ111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-1111111-1-11111-1-1-1-1-1-1-111-1111111-1-1-111-1-1-1-111-1-11111-1-1
χ121111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-11-11-1-11111-1-11111-1-1-1-1-1-1-1-1-11-111111-1-11111-1-1111-1-1-1-1-1-11-111
χ131111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-11-111-1-1-1-111-1-1-1-1-1-11111111-11-1-1-1-1-111-1-111-1-1111-1-1-1-1111-11-1
χ141111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111-1-1-1-1-1-111-1-1111111111-1-11-1-1-1-1-1-111-111-1-1-1-111-1-1-1-111-11
χ151111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-1-1-1-11111-1-1-1-11111-111-1-111-1-1-11111-1-11-1-11-1111111-1-1-1-1-11
χ161111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-11-11-1-1-1-111-1-111-1-1-1-111-111-1-11-11-1-111-1-111-1-1111-1-1-1-11111-111-1
χ17222222-122-12-1222-12-12-1-122-1-1-1-12-100-122-1-1-122-1-1-1-1-1-1-1-1-1022222200-1-1-1-122002200-100-1-122-100-1-1-1-1-1-10000200-1-1000000-10
χ18222222-122-12-1222-12-12-1-122-1-1-1-12-100-122-1-1-122-1-1-1-1-1-1-1-1-1022-2-22200-1-111-2-200-2-200-100-1-12-2100-1-111110000-2001100000010
χ19222222-122-12-1222-12-12-1-122-1-1-1-12-100-122-1-1-122-1-1-1-1-1-1-1-1-10-2-222-2-20011-1-12200-2-20010011-22-10011-1-1-1-10000-2001100000010
χ20222222-122-12-1222-12-12-1-122-1-1-1-12-100-122-1-1-122-1-1-1-1-1-1-1-1-10-2-2-2-2-2-2001111-2-200220010011-2-21001111110000200-1-1000000-10
χ21222222-122-12-1222-1-2-12-1-122-1-1-1-12-100-1-2-2111-2-211-1-1-1111102-22-2220011-1-1-2-200-2-200-100-1-1-2210011-1-111000020011000000-10
χ22222222-122-12-1222-1-2-12-1-122-1-1-1-12-100-1-2-2111-2-211-1-1-1111102-2-222200111122002200-100-1-1-2-2-1001111-1-10000-200-1-100000010
χ23222222-122-12-1222-1-2-12-1-122-1-1-1-12-100-1-2-2111-2-211-1-1-111110-222-2-2-200-1-1-1-1-2-20022001001122100-1-1-1-1110000-200-1-100000010
χ24222222-122-12-1222-1-2-12-1-122-1-1-1-12-100-1-2-2111-2-211-1-1-111110-22-22-2-200-1-1112200-2-200100112-2-100-1-111-1-1000020011000000-10
χ2522222-122-12-1222-122-1-12-1-1-122-1-1-1222-12-12-1-1-1-122-1-1-1-1-1-1-12002200-1-10022-1-122002-10-1-1000-12-1-100-1-1-1-120200-1-10000000-100
χ2622222-122-12-1222-122-1-12-1-1-122-1-1-1222-12-12-1-1-1-122-1-1-1-1-1-1-1200-2-200-1-100-2-21122002-10-1-10001-2-1-1001111-20-200110000000100
χ2722222-122-12-1222-122-1-12-1-1-122-1-1-12-2-2-12-12-1-1-1-122-1-1-1-1-1-1-1-2002200110022-1-1-2-200-21011000-121100-1-1-1-1-20-200110000000100
χ2822222-122-12-1222-122-1-12-1-1-122-1-1-12-2-2-12-12-1-1-1-122-1-1-1-1-1-1-1-200-2-2001100-2-211-2-200-210110001-21100111120200-1-10000000-100
χ2922222-122-12-1222-12-2-1-12-1-1-122-1-1-1222-1-21-21111-2-2-1-1-11111-2002-200-1-10022112200-21011000-1-2-1-100-1-111-20200110000000-100
χ3022222-122-12-1222-12-2-1-12-1-1-122-1-1-1222-1-21-21111-2-2-1-1-11111-200-2200-1-100-2-2-1-12200-2101100012-1-10011-1-120-200-1-10000000100
χ3122222-122-12-1222-12-2-1-12-1-1-122-1-1-12-2-2-1-21-21111-2-2-1-1-111112002-20011002211-2-2002-10-1-1000-1-21100-1-11120-200-1-10000000100
χ3222222-122-12-1222-12-2-1-12-1-1-122-1-1-12-2-2-1-21-21111-2-2-1-1-11111200-22001100-2-2-1-1-2-2002-10-1-100012110011-1-1-20200110000000-100
χ332222-122-12222-1-12222-1-12-1-1-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-122200-1-122220000-1-100-122-1-1-1-1-100-1-1-1-10000020200000-1-100-1000
χ342222-122-12222-1-12222-1-12-1-1-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-12-2-2001122-2-20000-1-100-12-2-1-111100-1-11100000-20-20000011001000
χ352222-122-12222-1-12222-1-12-1-1-1-122-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-22200-1-1-2-222000011001-2211-1-1-10011-1-100000-20-20000011001000
χ362222-122-12222-1-12222-1-12-1-1-1-122-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-20011-2-2-2-2000011001-2-2111110011110000020200000-1-100-1000
χ372222-122-12222-1-122-22-1-12-1-1-1-122-1-122-11-2-2-2-21111-1-1-11111-22-200-1-122-2-20000-1-1001-2211-1-1100-1-11100000-20200000-1-1001000
χ382222-122-12222-1-122-22-1-12-1-1-1-122-1-122-11-2-2-2-21111-1-1-11111-2-22001122220000-1-1001-2-21111-100-1-1-1-10000020-2000001100-1000
χ392222-122-12222-1-122-22-1-12-1-1-1-122-1-1-2-2-11-2-2-2-21111-1-1-1111122-200-1-1-2-2-2-200001100-122-1-1-1-110011110000020-2000001100-1000
χ402222-122-12222-1-122-22-1-12-1-1-1-122-1-1-2-2-11-2-2-2-21111-1-1-111112-220011-2-22200001100-12-2-1-111-10011-1-100000-20200000-1-1001000
χ412-2-22222-2-2-22-22-2-220222-2-2-22-22-22-22-220000000002-2-2000000000002-20000002-22-200000000002-200000000000002-2002-20000
χ422-2-22222-2-2-22-22-2-220222-2-2-22-22-22-22-220000000002-2-2000000000002-20000002-2-2200000000002-20000000000000-2200-220000
χ432-2-22222-2-2-22-22-2-220222-2-2-22-22-22-2-2220000000002-2-200000000000-22000000-222-20000000000-2200000000000002-200-220000
χ442-2-22222-2-2-22-22-2-220222-2-2-22-22-22-2-2220000000002-2-200000000000-22000000-22-220000000000-220000000000000-22002-20000
χ4544444-2-24-2-2-2-244-2-241-2-21-2-2-2-211-2-20014-2-211-2-2-2-2111111100044000000-2-2-2-2000000000000-2-20000111100000000000000000
χ4644444-2-24-2-2-2-244-2-241-2-21-2-2-2-211-2-20014-2-211-2-2-2-21111111000-4-40000002222000000000000220000-1-1-1-100000000000000000
χ4744444-2-24-2-2-2-244-2-2-41-2-21-2-2-2-211-2-2001-422-1-12222111-1-1-1-10004-4000000-2-222000000000000-22000011-1-100000000000000000
χ4844444-2-24-2-2-2-244-2-2-41-2-21-2-2-2-211-2-2001-422-1-12222111-1-1-1-1000-4400000022-2-20000000000002-20000-1-11100000000000000000
χ494444-24-2-24-24-2-2-24-24-2-21-2-2-211-2-2-21001-24-2-2-2-2-211111111104400-2-200-2-20000000000-20011-2000011000000000000000000000
χ504444-24-2-24-24-2-2-24-24-2-21-2-2-211-2-2-21001-24-2-2-2-2-21111111110-4-4002200220000000000200-1-120000-1-1000000000000000000000
χ514444-24-2-24-24-2-2-24-2-4-2-21-2-2-211-2-2-210012-422222-1-1111-1-1-1-104-400-2-200220000000000-2001120000-1-1000000000000000000000
χ524444-24-2-24-24-2-2-24-2-4-2-21-2-2-211-2-2-210012-422222-1-1111-1-1-1-10-44002200-2-20000000000200-1-1-2000011000000000000000000000
χ534444-2-24-2-24-24-2-2-244-21-2-211-2-2-2-21-2441-2-24-2-211-2-211111114000000-2-2000000-2-200-2-2011000001100000000000000000000000
χ544444-2-24-2-24-24-2-2-244-21-2-211-2-2-2-21-2-4-41-2-24-2-211-2-21111111-4000000220000002200220-1-100000-1-100000000000000000000000
χ554444-2-24-2-24-24-2-2-24-4-21-2-211-2-2-2-21-244122-422-1-122111-1-1-1-1-4000000-2-2000000-2-200220-1-1000001100000000000000000000000
χ564444-2-24-2-24-24-2-2-24-4-21-2-211-2-2-2-21-2-4-4122-422-1-122111-1-1-1-14000000220000002200-2-201100000-1-100000000000000000000000
χ5744-4-4444444-4-4-4-4-4-4044444-4-44-4-4-4-4004000000000-44-40000000000000000000000000000000000000000000000000000000000
χ5844-4-444-244-2-42-4-4-420-24-2-24-42-222-4200-20000000002-2200000000000000023−230000000000000000000023−230000000000000000000
χ5944-4-444-244-2-42-4-4-420-24-2-24-42-222-4200-20000000002-22000000000000000−232300000000000000000000−23230000000000000000000
χ6044-4-44-244-242-4-4-42-40-2-24-2-22-44222-400-20000000002-220000000000000000023−230000000000000000000023−2300000000000000000
χ6144-4-44-244-242-4-4-42-40-2-24-2-22-44222-400-20000000002-2200000000000000000−232300000000000000000000−232300000000000000000
χ6244-4-44-2-24-2-222-4-42201-2-21-222-2-1-1220010003-30000-11-133-3-30000000000023−2323−23000000000000000000−33−3300000000000000000
χ6344-4-44-2-24-2-222-4-42201-2-21-222-2-1-1220010003-30000-11-133-3-300000000000−2323−23230000000000000000003−33−300000000000000000
χ6444-4-44-2-24-2-222-4-42201-2-21-222-2-1-122001000-330000-11-1-3-3330000000000023−23−2323000000000000000000−333−300000000000000000
χ6544-4-44-2-24-2-222-4-42201-2-21-222-2-1-122001000-330000-11-1-3-33300000000000−232323−230000000000000000003−3−3300000000000000000
χ6644-4-4-244-244-4-422-4-404-2-24-222-2-4-42200-20000000002-220000000000000000000000000000000000000000000000000023−23000000
χ6744-4-4-244-244-4-422-4-404-2-24-222-2-4-42200-20000000002-2200000000000000000000000000000000000000000000000000−2323000000
χ684-44-4444-4-4-4-44-444-40444-4-44-4-4-44-44004000000000-4-440000000000000000000000000000000000000000000000000000000000
χ694-44-444-2-4-42-4-2-44420-24-22-44222-2-4-200-200000000022-20000000000000−2i32i300000000000000000000−2i32i3000000000000000000000
χ704-44-444-2-4-42-4-2-44420-24-22-44222-2-4-200-200000000022-200000000000002i3−2i3000000000000000000002i3−2i3000000000000000000000
χ714-44-44-24-42-424-44-2-40-2-2422-2-4-42-22400-200000000022-20000000000000000000000000000000000000000000000−2i32i30000000000
χ724-44-44-24-42-424-44-2-40-2-2422-2-4-42-22400-200000000022-200000000000000000000000000000000000000000000002i3−2i30000000000
χ734-44-4-2442-4-4-442-24-404-2-2-42-222-442-200-200000000022-2000000000−2i32i300000000000000000−2i32i30000000000000000000000000000
χ744-44-4-2442-4-4-442-24-404-2-2-42-222-442-200-200000000022-20000000002i3−2i3000000000000000002i3−2i30000000000000000000000000000
χ754-44-4-24-22-42-4-22-2420-2-2122-2-1-12-22100100000003-3-1-113-33-300000−2i32i300−2i32i30000000000000i3−i300000i3−i3000000000000000000000
χ764-44-4-24-22-42-4-22-2420-2-2122-2-1-12-22100100000003-3-1-113-33-3000002i3−2i3002i3−2i30000000000000−i3i300000−i3i3000000000000000000000
χ774-44-4-24-22-42-4-22-2420-2-2122-2-1-12-2210010000000-33-1-11-33-3300000−2i32i3002i3−2i30000000000000i3−i300000−i3i3000000000000000000000
χ784-44-4-24-22-42-4-22-2420-2-2122-2-1-12-2210010000000-33-1-11-33-33000002i3−2i300−2i32i30000000000000−i3i300000i3−i3000000000000000000000
χ794-4-4444-2-4-42424-4-4-20-24-22-4-4-22-224200-2000000000-2220000000000000000000004-40000000000000000000000000-2200000000
χ804-4-4444-2-4-42424-4-4-20-24-22-4-4-22-224200-2000000000-222000000000000000000000-4400000000000000000000000002-200000000
χ814-4-444-24-42-4-2-44-4240-2-242224-4-22-2-44-4-2000000000-22200000000000-220000004-4000000000000-2200000000000000000000000
χ824-4-444-24-42-4-2-44-4240-2-242224-4-22-2-4-44-2000000000-222000000000002-2000000-440000000000002-200000000000000000000000
χ834-4-44-2442-4-44-4-22-4404-2-2-422-224-4-224-4-2000000000-222000000000004-4000000-22000000000000-2200000000000000000000000
χ844-4-44-2442-4-44-4-22-4404-2-2-422-224-4-22-44-2000000000-22200000000000-440000002-20000000000002-200000000000000000000000
χ854-4-44-2-2422-4-2-4-22240-21-22-1-1-22-22124-41000003-3001-1-13-3-330000000-22000000-22000003-3000001-100000000000000000000000
χ864-4-44-2-2422-4-2-4-22240-21-22-1-1-22-22124-4100000-33001-1-1-333-30000000-22000000-2200000-33000001-100000000000000000000000
χ874-4-44-2-2422-4-2-4-22240-21-22-1-1-22-2212-441000003-3001-1-13-3-3300000002-20000002-200000-3300000-1100000000000000000000000
χ884-4-44-2-2422-4-2-4-22240-21-22-1-1-22-2212-44100000-33001-1-1-333-300000002-20000002-2000003-300000-1100000000000000000000000
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
χ9188-8-8-48-4-48-4-8444-840-4-42-4-44-22444-2002000000000-22-20000000000000000000000000000000000000000000000000000000000
χ9288-8-8-4-48-4-484-8444-80-42-4-42-24-444-24002000000000-22-20000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4-4-4-4-4444444022222-2-22-2-2-2-200-10006-600001-11-3-333000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-4-4-4-4444444022222-2-22-2-2-2-200-1000-6600001-1133-3-3000000000000000000000000000000000000000000000000000000
χ958-88-88-4-4-8444-4-88-4402-4-4-24-444-224-4002000000000-2-220000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4844-8484-4-4-80-42-44-22444-4-2-4002000000000-2-220000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-44444-44-4-440222-2-22-2-2-22-2200-100000006-611-1-33-33000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-44444-44-4-440222-2-22-2-2-22-2200-10000000-6611-13-33-3000000000000000000000000000000000000000000000000000000
χ998-8-888-4-4-844-448-84-402-4-4-244-442-2-440020000000002-2-20000000000000000000000000000000000000000000000000000000000
χ1008-8-88-48-44-8484-44-8-40-4-424442-2-44-4-20020000000002-2-20000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-4444-44-444-40222-2-2-22-22-22-200-1000006-600-111-333-3000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-4444-44-444-40222-2-2-22-22-22-200-100000-6600-1113-3-33000000000000000000000000000000000000000000000000000000

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