Finite Group Databasebeta

← Group #13171932

Character table — Group #13171932

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222444444444444466888888888888888881212121212121212121212121212121212181824242424242424242424242424242424242436363636363636363636365454727272108
order122233366666666623336666666664436666666666666666224446612121212121212121212446666666121212121212121212121244444121212121212441212124
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-11-111-1-1-1-1111111-1-111111111-1-11111-1-1-1-1-11-11-1-1-1-1-111-1-11-1-1-1
χ31111111111111111111111111111111111111111111111111-11-11-1-111111111-1-1-1-11-1111-1-1-11111-1-111111-11-1-111-1-1-1-1-1-1-11-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111-1111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111
χ511111111111111111111111111111-1-111111111111111111-11111111111-1-1-1-11111-11-1-1-111111-1-1111111-1-1-1-11-1-111-1-1-1-1-1-11-1
χ611111111111111111111111111111-1-111111111111111111-11-11-111-1-1-1-1-1-1-1-111-1-1-11-1-1-1111-1-1-1-111-1-1-1-11-11-1-111-1-1-1-111-11-11
χ711111111111111111111111111111-1-111111111111111111-1-11-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-11-11-1-1-1-1-111111-1-11
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
χ91111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-111-1-11111-1-11111-1-1-1-1-11-1-1-111-11-111-1-111-1-1-111-11-1-1-1-111-1-1-1111
χ101111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-11-1-1111-1-1111111-1-111-11-1-1-111-1-1111-1-1-1-11111-1-1-111111111-1-1-1-1
χ111111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-111111111-1-1-1-1-1-1-111-1111111-1-1-1-111-1-1-111-1-11111-1-1
χ121111111111111111-1111111111111111-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-111111-1-1111-1-11111-1-1-1-1-1-11-111
χ131111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-1111-1-11111-1-1-1-1-1-1-1-1-1-11111111-11-1-1-1-1-111-1-11-1-11111-1-1-1-1111-11-1
χ141111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-1111-1-111-1-1-1-1-1-1111111111-1-11-1-1-1-1-1-111-1-111-1-1-111-1-1-1-111-11
χ151111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-111-1-1-111-1-1-1-1-1-111111-1111-1-111-1-1-11111-1-111-1-1-1111111-1-1-1-1-11
χ161111111111111111-1111111111111-1-11-1-1-1-1-1-1-1-1-1111-1-1-1-11-1-111-1-1-1-111-1-1-1-111-1-11-1111-1-11-11-1-111-1-111-111-11-1-1-1-11111-111-1
χ17222222-1-12222-1-12222-1-12-1-1-1-122-1-122-122-122-1-1-1-1-1-1-1-1-1-1-122020-1-10000-1-122220022-1-1-1-1-1-100-1-1-1-10000020200000-1-100-1000
χ18222222-1-12222-1-12222-1-12-1-1-1-122-1-122-122-122-1-1-1-1-1-1-1-1-1-1-12-20-20110000-1-122-2-2002-2-1-1-111100-1-11100000-20-20000011001000
χ19222222-1-12222-1-12222-1-12-1-1-1-122-1-1-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-22020-1-1000011-2-22200-22111-1-1-10011-1-100000-20-20000011001000
χ20222222-1-12222-1-12222-1-12-1-1-1-122-1-1-2-2-122-122-1-1-1-1-1-1-1-1-1-1-1-2-20-2011000011-2-2-2-200-2-21111110011110000020200000-1-100-1000
χ21222222-1-12222-1-122-22-1-12-1-1-1-122-1-122-1-2-21-2-21111-1-1-11111-220-20-1-10000-1-122-2-200-22111-1-1100-1-1110000020-200000-1-1001000
χ22222222-1-12222-1-122-22-1-12-1-1-1-122-1-122-1-2-21-2-21111-1-1-11111-2-2020110000-1-1222200-2-211111-100-1-1-1-100000-202000001100-1000
χ23222222-1-12222-1-122-22-1-12-1-1-1-122-1-1-2-2-1-2-21-2-21111-1-1-11111220-20-1-1000011-2-2-2-20022-1-1-1-1-1100111100000-202000001100-1000
χ24222222-1-12222-1-122-22-1-12-1-1-1-122-1-1-2-2-1-2-21-2-21111-1-1-111112-202011000011-2-222002-2-1-1-111-10011-1-10000020-200000-1-1001000
χ2522222-1222-12-1222-12-12-1-122-1-1-1-12-100-12-12-1-122-1-1-1-1-1-1-1-1-10222222-1-1220000-1-1220-1000-1-122-100-1-1-1-1-1-10000200-1-1000000-10
χ2622222-1222-12-1222-12-12-1-122-1-1-1-12-100-12-12-1-122-1-1-1-1-1-1-1-1-102-22-22211-2-20000-1-1-2-20-1000-1-12-2100-1-111110000-2001100000010
χ2722222-1222-12-1222-12-12-1-122-1-1-1-12-100-12-12-1-122-1-1-1-1-1-1-1-1-10-22-22-2-2-1-122000011-2-20100011-22-10011-1-1-1-10000-2001100000010
χ2822222-1222-12-1222-12-12-1-122-1-1-1-12-100-12-12-1-122-1-1-1-1-1-1-1-1-10-2-2-2-2-2-211-2-2000011220100011-2-21001111110000200-1-1000000-10
χ2922222-1222-12-1222-1-2-12-1-122-1-1-1-12-100-1-21-211-2-211-1-1-11111022-2-222-1-1-2-2000011-2-20-1000-1-1-2210011-1-111000020011000000-10
χ3022222-1222-12-1222-1-2-12-1-122-1-1-1-12-100-1-21-211-2-211-1-1-1111102-2-22221122000011220-1000-1-1-2-2-1001111-1-10000-200-1-100000010
χ3122222-1222-12-1222-1-2-12-1-122-1-1-1-12-100-1-21-211-2-211-1-1-111110-222-2-2-2-1-1-2-20000-1-122010001122100-1-1-1-1110000-200-1-100000010
χ3222222-1222-12-1222-1-2-12-1-122-1-1-1-12-100-1-21-211-2-211-1-1-111110-2-222-2-211220000-1-1-2-201000112-2-100-1-111-1-1000020011000000-10
χ332222-1222-12-1222-122-1-12-1-1-122-1-1-1222-1-122-1-1-1-122-1-1-1-1-1-1-1202020022-1-122-1-10000-102-1-1000-12-1-100-1-1-1-120200-1-10000000-100
χ342222-1222-12-1222-122-1-12-1-1-122-1-1-1222-1-122-1-1-1-122-1-1-1-1-1-1-120-20-200-2-21122-1-10000-102-1-10001-2-1-1001111-20-200110000000100
χ352222-1222-12-1222-122-1-12-1-1-122-1-1-12-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-202020022-1-1-2-211000010-211000-121100-1-1-1-1-20-200110000000100
χ362222-1222-12-1222-122-1-12-1-1-122-1-1-12-2-2-1-122-1-1-1-122-1-1-1-1-1-1-1-20-20-200-2-211-2-211000010-2110001-21100111120200-1-10000000-100
χ372222-1222-12-1222-12-2-1-12-1-1-122-1-1-1222-11-2-21111-2-2-1-1-11111-2020-200221122-1-1000010-211000-1-2-1-100-1-111-20200110000000-100
χ382222-1222-12-1222-12-2-1-12-1-1-122-1-1-1222-11-2-21111-2-2-1-1-11111-20-20200-2-2-1-122-1-1000010-21100012-1-10011-1-120-200-1-10000000100
χ392222-1222-12-1222-12-2-1-12-1-1-122-1-1-12-2-2-11-2-21111-2-2-1-1-111112020-2002211-2-2110000-102-1-1000-1-21100-1-11120-200-1-10000000100
χ402222-1222-12-1222-12-2-1-12-1-1-122-1-1-12-2-2-11-2-21111-2-2-1-1-1111120-20200-2-2-1-1-2-2110000-102-1-100012110011-1-1-20200110000000-100
χ412-22-2222-2-22-2-22-22-20222-2-2-22-22-22-22-220000000002-2-20000000000000002-22-2002i−2i00000000002-200000000000002i−2i002i−2i0000
χ422-22-2222-2-22-2-22-22-20222-2-2-22-22-22-22-220000000002-2-20000000000000002-22-200−2i2i00000000002-20000000000000−2i2i00−2i2i0000
χ432-22-2222-2-22-2-22-22-20222-2-2-22-22-22-2-2220000000002-2-2000000000000000-22-22002i−2i0000000000-2200000000000002i−2i00−2i2i0000
χ442-22-2222-2-22-2-22-22-20222-2-2-22-22-22-2-2220000000002-2-2000000000000000-22-2200−2i2i0000000000-220000000000000−2i2i002i−2i0000
χ4544444-2-2-24-24-2-2-24-24-2-21-2-2-211-2-2-210014-2-2-2-2-2-211111111104040-2-200000000-2-2000-200011-2000011000000000000000000000
χ4644444-2-2-24-24-2-2-24-24-2-21-2-2-211-2-2-210014-2-2-2-2-2-21111111110-40-402200000000220002000-1-120000-1-1000000000000000000000
χ4744444-2-2-24-24-2-2-24-2-4-2-21-2-2-211-2-2-21001-4222222-1-1111-1-1-1-1040-40-2-20000000022000-20001120000-1-1000000000000000000000
χ4844444-2-2-24-24-2-2-24-2-4-2-21-2-2-211-2-2-21001-4222222-1-1111-1-1-1-10-40402200000000-2-20002000-1-1-2000011000000000000000000000
χ494444-24-2-2-24-24-2-2-244-21-2-211-2-2-2-21-2441-24-2-2-211-2-2111111140000000000-2-2-2-20000-20-211000001100000000000000000000000
χ504444-24-2-2-24-24-2-2-244-21-2-211-2-2-2-21-2-4-41-24-2-2-211-2-21111111-4000000000022220000202-1-100000-1-100000000000000000000000
χ514444-24-2-2-24-24-2-2-24-4-21-2-211-2-2-2-21-24412-4222-1-122111-1-1-1-1-40000000000-2-2-2-20000202-1-1000001100000000000000000000000
χ524444-24-2-2-24-24-2-2-24-4-21-2-211-2-2-2-21-2-4-412-4222-1-122111-1-1-1-14000000000022220000-20-21100000-1-100000000000000000000000
χ534444-2-244-2-2-2-244-2-241-2-21-2-2-2-211-2-2001-2-2411-2-2-2-211111110040400-2-2-2-20000000000000000-2-20000111100000000000000000
χ544444-2-244-2-2-2-244-2-241-2-21-2-2-2-211-2-2001-2-2411-2-2-2-2111111100-40-40022220000000000000000220000-1-1-1-100000000000000000
χ554444-2-244-2-2-2-244-2-2-41-2-21-2-2-2-211-2-200122-4-1-12222111-1-1-1-10040-400-2-2220000000000000000-22000011-1-100000000000000000
χ564444-2-244-2-2-2-244-2-2-41-2-21-2-2-2-211-2-200122-4-1-12222111-1-1-1-100-4040022-2-200000000000000002-20000-1-11100000000000000000
χ5744-4-44444-4-444-4-4-4-4044444-4-44-4-4-4-4004000000000-44-40000000000000000000000000000000000000000000000000000000000
χ5844-4-444-2-2-4-44422-4-404-2-24-222-2-4-42200-20000000002-220000000000000000000000000000000000000000000000000023−23000000
χ5944-4-444-2-2-4-44422-4-404-2-24-222-2-4-42200-20000000002-2200000000000000000000000000000000000000000000000000−2323000000
χ6044-4-44-244-424-2-4-4-420-24-2-24-42-222-4200-20000000002-220000000000023−2300000000000000000000000023−230000000000000000000
χ6144-4-44-244-424-2-4-4-420-24-2-24-42-222-4200-20000000002-2200000000000−2323000000000000000000000000−23230000000000000000000
χ6244-4-4-24442-4-24-4-42-40-2-24-2-22-44222-400-20000000002-22000000000000023−2300000000000000000000000023−2300000000000000000
χ6344-4-4-24442-4-24-4-42-40-2-24-2-22-44222-400-20000000002-220000000000000−2323000000000000000000000000−232300000000000000000
χ6444-4-4-2-24422-2-2-4-42201-2-21-222-2-1-1220010003-30000-11-133-3-3000000023−2323−230000000000000000000000−33−3300000000000000000
χ6544-4-4-2-24422-2-2-4-42201-2-21-222-2-1-1220010003-30000-11-133-3-30000000−2323−232300000000000000000000003−33−300000000000000000
χ6644-4-4-2-24422-2-2-4-42201-2-21-222-2-1-122001000-330000-11-1-3-333000000023−23−23230000000000000000000000−333−300000000000000000
χ6744-4-4-2-24422-2-2-4-42201-2-21-222-2-1-122001000-330000-11-1-3-3330000000−232323−2300000000000000000000003−3−3300000000000000000
χ684-44-444-22-44-4-4-224-404-2-2-422-224-4-224-4-2000000000-222000000000000000-224-400000000000000-2200000000000000000000000
χ694-44-444-22-44-4-4-224-404-2-2-422-224-4-22-44-2000000000-2220000000000000002-2-44000000000000002-200000000000000000000000
χ704-44-44-24-4-4-2-424-4420-24-22-4-4-22-224200-2000000000-2220000000000000000000004i−4i0000000000000000000000000−2i2i00000000
χ714-44-44-24-4-4-2-424-4420-24-22-4-4-22-224200-2000000000-222000000000000000000000−4i4i00000000000000000000000002i−2i00000000
χ724-44-4-244-4242-44-4-2-40-2-242224-4-22-2-44-4-2000000000-2220000000000000004-4-2200000000000000-2200000000000000000000000
χ734-44-4-244-4242-44-4-2-40-2-242224-4-22-2-4-44-2000000000-222000000000000000-442-2000000000000002-200000000000000000000000
χ744-44-4-24-22242-4-22-2-40-21-22-1-1-22-22124-41000003-3001-1-13-33-300000000000-22-2200000003-3000001-100000000000000000000000
χ754-44-4-24-22242-4-22-2-40-21-22-1-1-22-22124-4100000-33001-1-1-33-3300000000000-22-220000000-33000001-100000000000000000000000
χ764-44-4-24-22242-4-22-2-40-21-22-1-1-22-2212-441000003-3001-1-13-33-3000000000002-22-20000000-3300000-1100000000000000000000000
χ774-44-4-24-22242-4-22-2-40-21-22-1-1-22-2212-44100000-33001-1-1-33-33000000000002-22-200000003-300000-1100000000000000000000000
χ784-4-44444-44-4-4-4-44-440444-4-44-4-4-44-44004000000000-4-440000000000000000000000000000000000000000000000000000000000
χ794-4-4444-224-4-4-42-2-4404-2-2-42-222-442-200-200000000022-2000000000−2i32i300000000000000000−2i32i30000000000000000000000000000
χ804-4-4444-224-4-4-42-2-4404-2-2-42-222-442-200-200000000022-20000000002i3−2i3000000000000000002i3−2i30000000000000000000000000000
χ814-4-444-24-442-42-44-4-20-24-22-44222-2-4-200-200000000022-20000000000000000000−2i32i300000000000000−2i32i3000000000000000000000
χ824-4-444-24-442-42-44-4-20-24-22-44222-2-4-200-200000000022-200000000000000000002i3−2i3000000000000002i3−2i3000000000000000000000
χ834-4-444-2-2242-422-2-4-20-2-2122-2-1-12-22100100000003-3-1-113-3-3300000−2i32i300000000−2i32i30000000i3−i300000i3−i3000000000000000000000
χ844-4-444-2-2242-422-2-4-20-2-2122-2-1-12-22100100000003-3-1-113-3-33000002i3−2i3000000002i3−2i30000000−i3i300000−i3i3000000000000000000000
χ854-4-444-2-2242-422-2-4-20-2-2122-2-1-12-2210010000000-33-1-11-333-300000−2i32i3000000002i3−2i30000000i3−i300000−i3i3000000000000000000000
χ864-4-444-2-2242-422-2-4-20-2-2122-2-1-12-2210010000000-33-1-11-333-3000002i3−2i300000000−2i32i30000000−i3i300000i3−i3000000000000000000000
χ874-4-44-244-4-2-42-4-44240-2-2422-2-4-42-22400-200000000022-2000000000000000000000000000000000000000000000023−230000000000
χ884-4-44-244-4-2-42-4-44240-2-2422-2-4-42-22400-200000000022-20000000000000000000000000000000000000000000000−23230000000000
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
χ9188-8-88-4-4-4-848-444-840-4-42-4-44-22444-2002000000000-22-20000000000000000000000000000000000000000000000000000000000
χ9288-8-8-48-4-44-8-48444-80-42-4-42-24-444-24002000000000-22-20000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4-4-444-4-44444022222-2-22-2-2-2-200-10006-600001-11-3-333000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-4-444-4-44444022222-2-22-2-2-2-200-1000-6600001-1133-3-3000000000000000000000000000000000000000000000000000000
χ958-88-88-4-44-8-4-84-44840-4-424442-2-44-4-20020000000002-2-20000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-48-84-4448-8-4402-4-4-244-442-2-440020000000002-2-20000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-444-444-44-440222-2-2-22-22-22-200-1000006-600-111-33-33000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-444-444-44-440222-2-2-22-22-22-200-100000-6600-1113-33-3000000000000000000000000000000000000000000000000000000
χ998-8-88-48-44-4-84-84-4480-42-44-22444-4-2-4002000000000-2-220000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4-48-8-4444-884-402-4-4-24-444-224-4002000000000-2-220000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-44-44444-44-40222-2-22-2-2-22-2200-100000006-611-1-333-3000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-44-44444-44-40222-2-22-2-2-22-2200-10000000-6611-13-3-33000000000000000000000000000000000000000000000000000000

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