Finite Group Databasebeta

← Group #13169442

Character table — Group #13169442

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222244444444444444488888888888888881212121212121212121212121212181818181818242424242424242424242424242424242424242436363636363636363636367272108108
order122233366666666633346666666661212366612121212121212121212121244444412121212121212124444441212121212121212121212121212121212121212244121212121212121261244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111-1-1-1-11-1-111111-1-1-1-111111111-1-1111-1-1-1-111-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-111111111-1-1-1-1-1-111111-111-1-111111111-1-1-1-11-1-1-1-111-1-1-1-11-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-11-1-1-111-1-1-1-1-1-11111-1-1-1-1-11-1-1-1-1-111-1-1-1111
χ511111111111111111111111111111111111111111111111-1-111111111-1-111-1-111-1-1-1111-1-1111111-1-1-1-11111-11-1-1-1-1-111-1-1-11-1-1
χ611111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-11-1-111-1-1-1-1-1-1-1-111111-1-1-1-111-1-1-1-11-111
χ711111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-111-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111
χ811111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1-1-1111111-1-1-1-111-1-11-11-11-1-1-11111-1-111-1-1-1111111-1-1-1-1-11-11
χ101111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1111-1-11111-1-111-1-1-11-1-11-11-111-1-111-1-111-1-11-1111-1-111-1-11-11-1
χ111111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-11111-1-1111111-1-1111-1-11-1-11111-1-1-1-111-1-1-1-1-1111111-1-11-1
χ121111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1111-1-111-1-111-1-1-1-1-11-111-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-11111-11
χ131111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-11-1-1-111-1-11111-1-1-1-11-11-1-111-1-1-111-1-11111-1-111-1-1-1-1-1-1-111111-1
χ141111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-1-1-1-11111111111-1-1-111-111-1-1-1-11111-1-1-1-1-1-1-1111111-1-1-11
χ151111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-111-1-1-1-1-1-111-1-11-111-11-11-1-111-1-111-1-1111-1111-1-111-1-11-1-11
χ161111111111111111111-1111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1111-1-1-1-1-1-1-1-1-1-11111-11-11-1111-1-1-1-111-1-111-1111111-1-1-1-1-111-1
χ17222222-122-1-12-12222-1-122-1-12-1-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-1-122002222-1-1-1-100000022-1-1202200-1-1-1-1-1-1-1-1000020000-1-10000-1000
χ18222222-122-1-12-12222-1-122-1-12-1-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-1-12200-2-2-2-211-1-1000000-2-2-11-2022001111-1-1-1-10000-200001100001000
χ19222222-122-1-12-12222-1-122-1-12-1-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2002222-1-111000000-2-21-120-2-200-1-1-1-111110000-200001100001000
χ20222222-122-1-12-12222-1-122-1-12-1-1-12-122-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-200-2-2-2-211110000002211-20-2-20011111111000020000-1-10000-1000
χ21222222-122-1-12-12222-1-1-22-1-12-1-1-12-1-2-2-1-1-1-11-2-2-2111111112-2002-2-2-2-1-1-1-10000002211202-20011-1-1-1-1110000-20000-1-100001000
χ22222222-122-1-12-12222-1-1-22-1-12-1-1-12-1-2-2-1-1-1-11-2-2-2111111112-200-222211-1-1000000-2-21-1-202-200-1-111-1-111000020000110000-1000
χ23222222-122-1-12-12222-1-1-22-1-12-1-1-12-1-2-2-1-1-1-11-2-2-211111111-22002-2-2-2-1-111000000-2-2-1120-220011-1-111-1-1000020000110000-1000
χ24222222-122-1-12-12222-1-1-22-1-12-1-1-12-1-2-2-1-1-1-11-2-2-211111111-2200-2222111100000022-1-1-20-2200-1-11111-1-10000-20000-1-100001000
χ2522222-122-12222-1-12-12-12-12-1-12-1-1-1222-1-1-1-12-1-1-122-1-1-1-1-1-1002222-1-12200-1-100220002-1-10022-1-1-1-10000-1-1-1-10200000-1-1000-100
χ2622222-122-12222-1-12-12-12-12-1-12-1-1-1222-1-1-1-12-1-1-122-1-1-1-1-1-10022-2-211-2-200-1-100-2-2000-21-1002211110000-1-1-1-10-20000011000100
χ2722222-122-12222-1-12-12-12-12-1-12-1-1-1222-1-1-1-12-1-1-122-1-1-1-1-1-100-2-222-1-122001100-2-20002-1100-2-2-1-1-1-1000011110-20000011000100
χ2822222-122-12222-1-12-12-12-12-1-12-1-1-1222-1-1-1-12-1-1-122-1-1-1-1-1-100-2-2-2-211-2-200110022000-21100-2-21111000011110200000-1-1000-100
χ2922222-122-12222-1-12-12-1-2-12-1-12-1-1-12-2-2-1-1-1-1-2111-2-2111111002-22-2112200-1-100-2-2000-2-11002-211-1-10000-1-111020000011000-100
χ3022222-122-12222-1-12-12-1-2-12-1-12-1-1-12-2-2-1-1-1-1-2111-2-2111111002-2-22-1-1-2-200-1-10022000211002-2-1-1110000-1-1110-200000-1-1000100
χ3122222-122-12222-1-12-12-1-2-12-1-12-1-1-12-2-2-1-1-1-1-2111-2-211111100-222-2112200110022000-2-1-100-2211-1-1000011-1-10-200000-1-1000100
χ3222222-122-12222-1-12-12-1-2-12-1-12-1-1-12-2-2-1-1-1-1-2111-2-211111100-22-22-1-1-2-2001100-2-200021-100-22-1-111000011-1-1020000011000-100
χ332222-122-1222-1222-1-1-122-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1222200000022222200002002-1-1-1-10000-1-1-1-1-1-1-1-1002-1-10000-1-10000
χ342222-122-1222-1222-1-1-122-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122-2-200000022-2-2-2-20000200-2-1-1110000-1-1-1-1111100-2110000110000
χ352222-122-1222-1222-1-1-122-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-222000000-2-222-2-20000-200211-1-100001111-1-1-1-100-2110000110000
χ362222-122-1222-1222-1-1-122-1-12-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2000000-2-2-2-2220000-200-21111000011111111002-1-10000-1-10000
χ372222-122-1222-1222-1-1-12-2-1-12-1-122-1-111-1-1-1-1-2-21111-2-211112-22-20000002222-2-20000-200-2-11-110000-1-111-1-111002-1-10000110000
χ382222-122-1222-1222-1-1-12-2-1-12-1-122-1-111-1-1-1-1-2-21111-2-211112-2-2200000022-2-2220000-2002-111-10000-1-11111-1-100-2110000-1-10000
χ392222-122-1222-1222-1-1-12-2-1-12-1-122-1-111-1-1-1-1-2-21111-2-21111-222-2000000-2-222220000200-21-1-11000011-1-1-1-11100-2110000-1-10000
χ402222-122-1222-1222-1-1-12-2-1-12-1-122-1-111-1-1-1-1-2-21111-2-21111-22-22000000-2-2-2-2-2-2000020021-11-1000011-1-111-1-1002-1-10000110000
χ4122-2-2222-2-2-22-2-2-2222220-2-22-2-2-2-2220022-2-2000000000000000000000000002-22i−2i2i−2i00000000000000000000000002i−2i2i−2i2-20000
χ4222-2-2222-2-2-22-2-2-2222220-2-22-2-2-2-2220022-2-2000000000000000000000000002-2−2i2i−2i2i0000000000000000000000000−2i2i−2i2i2-20000
χ4322-2-2222-2-2-22-2-2-2222220-2-22-2-2-2-2220022-2-200000000000000000000000000-222i−2i−2i2i0000000000000000000000000−2i2i2i−2i-220000
χ4422-2-2222-2-2-22-2-2-2222220-2-22-2-2-2-2220022-2-200000000000000000000000000-22−2i2i2i−2i00000000000000000000000002i−2i−2i2i-220000
χ4544444-2-24-2-2-24-2-2-24-2-214-2-21-2-211-2-2441111-2-2-2-2-2-2111111000044-2-2-2-200000000000-2-200000111100000000000000000000000
χ4644444-2-24-2-2-24-2-2-24-2-214-2-21-2-211-2-2441111-2-2-2-2-2-21111110000-4-42222000000000002200000-1-1-1-100000000000000000000000
χ4744444-2-24-2-2-24-2-2-24-2-21-4-2-21-2-211-2-2-4-41111222222-1-1-1-1-1-100004-422-2-2000000000002-200000-1-11100000000000000000000000
χ4844444-2-24-2-2-24-2-2-24-2-21-4-2-21-2-211-2-2-4-41111222222-1-1-1-1-1-10000-44-2-22200000000000-220000011-1-100000000000000000000000
χ494444-24-2-24-2-2-2-244-2-21-24-21-2-21-2-2-21-2-21111-24-2-211-2-211114400000000-2-200000000-2000-2-200000011110000000000000000000
χ504444-24-2-24-2-2-2-244-2-21-24-21-2-21-2-2-21-2-21111-24-2-211-2-21111-4-4000000002200000000200022000000-1-1-1-10000000000000000000
χ514444-24-2-24-2-2-2-244-2-21-2-4-21-2-21-2-2-212211112-422-1-122-1-1-1-14-400000000-2-2000000002000-2200000011-1-10000000000000000000
χ524444-24-2-24-2-2-2-244-2-21-2-4-21-2-21-2-2-212211112-422-1-122-1-1-1-1-44000000002200000000-20002-2000000-1-1110000000000000000000
χ534444-2-24-2-244-24-2-2-21-2-241-2-21-2-2-21-2-2-211114-211-2-2-2-21111004400000000-2-2000000000-200-2-2000000001111000000000000000
χ544444-2-24-2-244-24-2-2-21-2-241-2-21-2-2-21-2-2-211114-211-2-2-2-2111100-4-400000000220000000002002200000000-1-1-1-1000000000000000
χ554444-2-24-2-244-24-2-2-21-2-2-41-2-21-2-2-21-2221111-42-1-12222-1-1-1-1004-400000000-2-2000000000200-220000000011-1-1000000000000000
χ564444-2-24-2-244-24-2-2-21-2-2-41-2-21-2-2-21-2221111-42-1-12222-1-1-1-100-440000000022000000000-2002-200000000-1-111000000000000000
χ5744-4-444-2-4-42-2-42-4444-2-20-42-2-42224-200-2-2220000000000000000000000000000004i−4i0000000000000000000000000−2i2i00000000
χ5844-4-444-2-4-42-2-42-4444-2-20-42-2-42224-200-2-222000000000000000000000000000000−4i4i00000000000000000000000002i−2i00000000
χ5944-4-44-24-42-44-4-42-24-24-202-4-22-422-2400-2-22200000000000000000000000000004i−4i00000000000000000000000000000−2i2i000000
χ6044-4-44-24-42-44-4-42-24-24-202-4-22-422-2400-2-2220000000000000000000000000000−4i4i000000000000000000000000000002i−2i000000
χ6144-4-4-2442-4-442-4-44-2-2-24022422-4-4-2-200-2-222000000000000000000000000004-4000000000000000000000000000000000-220000
χ6244-4-4-2442-4-442-4-44-2-2-24022422-4-4-2-200-2-22200000000000000000000000000-440000000000000000000000000000000002-20000
χ634-44-44444-44-4-4-44-4-44440-4-4-444-44-4-4004-4-440000000000000000000000000000000000000000000000000000000000000000000
χ644-44-444-24-4-22-424-4-44-2-20-4224-22-2-4200-222-2000000000000000000000023−230000000000000000000023−23000000000000000000000
χ654-44-444-24-4-22-424-4-44-2-20-4224-22-2-4200-222-20000000000000000000000−232300000000000000000000−2323000000000000000000000
χ664-44-44-24424-4-4-4-22-4-24-202-42-242-22-400-222-200000000000000000000000023−23000000000000000000000023−2300000000000000000
χ674-44-44-24424-4-4-4-22-4-24-202-42-242-22-400-222-2000000000000000000000000−23230000000000000000000000−232300000000000000000
χ684-44-4-244-2-44-42-44-42-2-24022-4-2-2-4422−2i32i3-222-200−2i32i3−2i32i300−2i3−2i32i32i30000000000000000000000000000000000000000000000000000000
χ694-44-4-244-2-44-42-44-42-2-24022-4-2-2-44222i3−2i3-222-2002i3−2i32i3−2i3002i32i3−2i3−2i30000000000000000000000000000000000000000000000000000000
χ704-44-4-24-2-2-4-22224-42-21-202-12-212-22-1−2i32i31-1-1100−2i32i3i3−i300i3i3−i3−i3000000000023−2300000000000000000000−333i−3i0000000000000000000
χ714-44-4-24-2-2-4-22224-42-21-202-12-212-22-1−2i32i31-1-1100−2i32i3i3−i300i3i3−i3−i30000000000−2323000000000000000000003−3−3i3i0000000000000000000
χ724-44-4-24-2-2-4-22224-42-21-202-12-212-22-12i3−2i31-1-11002i3−2i3−i3i300−i3−i3i3i3000000000023−2300000000000000000000−33−3i3i0000000000000000000
χ734-44-4-24-2-2-4-22224-42-21-202-12-212-22-12i3−2i31-1-11002i3−2i3−i3i300−i3−i3i3i30000000000−2323000000000000000000003−33i−3i0000000000000000000
χ744-44-4-2-24-224-42-4-2221-2-20-1221-22-2-12−2i32i31-1-1100i3−i3−2i32i300i3i3−i3−i300000000000023−230000000000000000000000−333i−3i000000000000000
χ754-44-4-2-24-224-42-4-2221-2-20-1221-22-2-12−2i32i31-1-1100i3−i3−2i32i300i3i3−i3−i3000000000000−232300000000000000000000003−3−3i3i000000000000000
χ764-44-4-2-24-224-42-4-2221-2-20-1221-22-2-122i3−2i31-1-1100−i3i32i3−2i300−i3−i3i3i300000000000023−230000000000000000000000−33−3i3i000000000000000
χ774-44-4-2-24-224-42-4-2221-2-20-1221-22-2-122i3−2i31-1-1100−i3i32i3−2i300−i3−i3i3i3000000000000−232300000000000000000000003−33i−3i000000000000000
χ784-4-44444-44-4-444-4-4-4444044-4-4-44-4-4-4004-44-40000000000000000000000000000000000000000000000000000000000000000000
χ794-4-4444-2-44224-2-4-4-44-2-204-22-42-22-4200-22-220000000000000000000023−230000000000000000000023−2300000000000000000000000
χ804-4-4444-2-44224-2-4-4-44-2-204-22-42-22-4200-22-2200000000000000000000−232300000000000000000000−232300000000000000000000000
χ814-4-444-24-4-2-4-44422-4-24-20-2422-4-222-400-22-22000000000000000000−2i32i300000000000000000000−2i32i30000000000000000000000000
χ824-4-444-24-4-2-4-44422-4-24-20-2422-4-222-400-22-220000000000000000002i3−2i3000000000000000000002i3−2i30000000000000000000000000
χ834-4-444-2-2-4-2224-222-4-2-210-2-2-1221-122001-11-10000003i−3i3i−3i3i−3i000000−2i32i323−23000000000000000000i3−i3−3300000000000000000000000
χ844-4-444-2-2-4-2224-222-4-2-210-2-2-1221-122001-11-10000003i−3i3i−3i3i−3i0000002i3−2i3−2323000000000000000000−i3i33−300000000000000000000000
χ854-4-444-2-2-4-2224-222-4-2-210-2-2-1221-122001-11-1000000−3i3i−3i3i−3i3i000000−2i32i3−2323000000000000000000i3−i33−300000000000000000000000
χ864-4-444-2-2-4-2224-222-4-2-210-2-2-1221-122001-11-1000000−3i3i−3i3i−3i3i0000002i3−2i323−23000000000000000000−i3i3−3300000000000000000000000
χ874-4-44-24424-4-4-24-4-42-2-240-2-2-4224-42200-22-220000000000000000000000000000000000000000000000000000000−2i32i30000000000
χ884-4-44-24424-4-4-24-4-42-2-240-2-2-4224-42200-22-2200000000000000000000000000000000000000000000000000000002i3−2i30000000000
χ898888-4-4-4-4-4-4-4-4-4-4-4-42228222222222-4-4-1-1-1-1-4-4222222-1-1-1-10000000000000000000000000000000000000000000000000000000
χ908888-4-4-4-4-4-4-4-4-4-4-4-4222-822222222244-1-1-1-144-2-2-2-2-2-211110000000000000000000000000000000000000000000000000000000
χ9188-8-88-4-4-844-4-844-48-4-42044244-2-2-4-40022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-8-48-44-84-444-88-4-42-404-2-44-244-420022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-4844-884-84-4-42-4-40-24-4-24442-40022-2-20000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-4444-4444-4-42220-2-22-2-2-2-22200-1-1110000000033−33−33330000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-4444-4444-4-42220-2-22-2-2-2-22200-1-11100000000−333333−330000000000000000000000000000000000000000000000000000000
χ968-88-88-4-484-44-84-44-8-4-42044-2-4-4-2244002-2-220000000000000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-4-44-4444-4442220-2-2-222-22-2-2−4i34i3-111-1002i3−2i32i3−2i300−i3−i3i3i30000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-4-44-4444-4442220-2-2-222-22-2-24i3−4i3-111-100−2i32i3−2i32i300i3i3−i3−i30000000000000000000000000000000000000000000000000000000
χ998-8-88-48-44844-4-4-8-84-42-40-4244-2-444-2002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4-484-4-8-8-484442-4-402-44-24-44-24002-22-20000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-44-444-4-4444222022-2-2-22-2-2-200-11-110000006i−6i−3i3i−3i3i0000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-44-444-4-4444222022-2-2-22-2-2-200-11-11000000−6i6i3i−3i3i−3i0000000000000000000000000000000000000000000000000000000

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