Finite Group Databasebeta

← Group #13171971

Character table — Group #13171971

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222244444444444444488888888888888881212121212121212121212121212181818181818242424242424242424242424242424242424242436363636363636363636367272108108
order122233366666666623336666666666636666666666666662244446666121212124444446666661212121212121212121212121212244121212121212121261224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-111-11111-1-1-1-1-1-1-1-111111111-1111-111111-1-1-1-1-11-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111111111-111-1111-1-11111-1-111-1-11-111-1-111-1-11111-1-11111-1-11-1-111-1-1-1-1-11-1-1
χ4111111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1-1-111-1-1-1-11-111-1-1-11-1-1-1111-1-1-1-1-1-11-1-111-1-1-1-1-1-11-111
χ511111111111111111111111111111111111111111111111-111-111-1-111111111-1-1-1-1-11-1-1111-1111-1-1-11111111-1-111-1-1-1-1-1-11-1-1-1
χ611111111111111111111111111111111111111111111111-11-1-11-1-1-111-1-1-1-1-1-111-1-1-11-1-111-1-111-1-1-1-111-1-1-1-1-1-11-1-111-1-1-1-1-1111
χ711111111111111111111111111111111111111111111111-1-11-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-1-1-11-1-1-1-1-11111-11-1-1-1-1-11111-1-111
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
χ91111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1111-1-1-1111111-1-111-1-1-1-11111111-1-1-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-111-1
χ101111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-111111-1-111-1-111-1-1111111-1-1-1-11-1-1-1-1-1-1-11111-1-1-11111-1-11-1-11
χ111111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-11-11-111-1-111-1-1-1-1-1-1111-111-1-11-111-1-1-1-11111-1-11-11-1-1-1-1-1-11111-11
χ121111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-11111-1-1-1-1111111111-111-1-1-1-1111-1-1-111-1-111-1-1-11111-1-111-1-11-1
χ131111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1111-1-1-1-11111-1-1111111-11-1-11111-1-1-1111-1-111-1-1-1-1-11111-1-111-1-1-11
χ141111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-11-11-11-1-111-1-111-1-1-1-111-11-1-111-11-1-11111-1-1-1-1111-11-1-1-1-1-1-111111-1
χ151111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-11111111-1-111-1-1-11111-1-11-11-1
χ161111111111111111-1111-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-11111-1-111-1-1-11-11
χ17222222-12-122-12-1222-12-122-122-1-1-1-12-1-12-1-1-122-1-1-1-1-1-1-1-1-102202200-1-1-1-1222200000200-1-1202-1-1000-1-1-1-1-1-1200-1-1000000-1000
χ18222222-12-122-12-1222-12-122-122-1-1-1-12-1-12-1-1-122-1-1-1-1-1-1-1-1-102-202-200-1-111-2-2-2-200000200-1-1-202-11000-1-11111-200110000001000
χ19222222-12-122-12-1222-12-122-122-1-1-1-12-1-12-1-1-122-1-1-1-1-1-1-1-1-10-220-220011-1-122-2-200000-2001120-21-100011-1-1-1-1-200110000001000
χ20222222-12-122-12-1222-12-122-122-1-1-1-12-1-12-1-1-122-1-1-1-1-1-1-1-1-10-2-20-2-2001111-2-22200000-20011-20-211000111111200-1-1000000-1000
χ21222222-12-122-12-122-2-12-1-2-2-122-1-1-1-12-1-1-2111-2-211-1-1-111110220-2-200-1-1-1-1-2-22200000200-1-120-21100011-1-111-200-1-10000001000
χ22222222-12-122-12-122-2-12-1-2-2-122-1-1-1-12-1-1-2111-2-211-1-1-1111102-20-2200-1-11122-2-200000200-1-1-20-21-10001111-1-120011000000-1000
χ23222222-12-122-12-122-2-12-1-2-2-122-1-1-1-12-1-1-2111-2-211-1-1-111110-2202-20011-1-1-2-2-2-200000-20011202-11000-1-1-1-11120011000000-1000
χ24222222-12-122-12-122-2-12-1-2-2-122-1-1-1-12-1-1-2111-2-211-1-1-111110-2-2022001111222200000-20011-202-1-1000-1-111-1-1-200-1-10000001000
χ2522222-12-122-12222-122-1-1-1-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-122022022220000000022-1-1-1-1-1-10-1-1202-1-1-1-100000200000-1-1-1-10000
χ2622222-12-122-12222-122-1-1-1-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-12-202-2022-2-200000000-2-2-11-1-1110-11-202-1-11100000-20000011110000
χ2722222-12-122-12222-122-1-1-1-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-220-220-2-22200000000-2-21-111-1-101-120-211-1-100000-20000011110000
χ2822222-12-122-12222-122-1-1-1-12-1-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-20-2-20-2-2-2-20000000022111111011-20-2111100000200000-1-1-1-10000
χ2922222-12-122-12222-1-22-1-1112-1-1-1-122-1-1-1-2-2-2-21111-1-1-11111220-2-20222200000000-2-2-1-1-1-1-1-1011-20-2111100000200000-1-1110000
χ3022222-12-122-12222-1-22-1-1112-1-1-1-122-1-1-1-2-2-2-21111-1-1-111112-20-22022-2-20000000022-11-1-11101-120-211-1-100000-20000011-1-10000
χ3122222-12-122-12222-1-22-1-1112-1-1-1-122-1-1-1-2-2-2-21111-1-1-11111-2202-20-2-22200000000221-111-1-10-11-202-1-11100000-20000011-1-10000
χ3222222-12-122-12222-1-22-1-1112-1-1-1-122-1-1-1-2-2-2-21111-1-1-11111-2-20220-2-2-2-200000000-2-21111110-1-1202-1-1-1-100000200000-1-1110000
χ332222-12222-122-12-122-1-1222-1-1-122-1-1-12-1-12-1-1-1-122-1-1-1-1-1-1-1202202-1-10022-1-100220020-1-100-12002-1-1-100-1-1-1-100200-1-100000-100
χ342222-12222-122-12-122-1-1222-1-1-122-1-1-12-1-12-1-1-1-122-1-1-1-1-1-1-120-220-2-1-100-2-21100-2-20020-1-1001200-2-1-1-100111100-2001100000100
χ352222-12222-122-12-122-1-1222-1-1-122-1-1-12-1-12-1-1-1-122-1-1-1-1-1-1-1-202-202110022-1-100-2-200-201100-1-200211100-1-1-1-100-2001100000100
χ362222-12222-122-12-122-1-1222-1-1-122-1-1-12-1-12-1-1-1-122-1-1-1-1-1-1-1-20-2-20-21100-2-211002200-2011001-200-211100111100200-1-100000-100
χ372222-12222-122-12-12-2-1-12-2-2-1-1-122-1-1-12-11-21111-2-2-1-1-11111202-20-2-1-100221100-2-20020-1-100-1-200-211100-1-111002001100000-100
χ382222-12222-122-12-12-2-1-12-2-2-1-1-122-1-1-12-11-21111-2-2-1-1-1111120-2-202-1-100-2-2-1-100220020-1-1001-20021110011-1-100-200-1-100000100
χ392222-12222-122-12-12-2-1-12-2-2-1-1-122-1-1-12-11-21111-2-2-1-1-11111-20220-211002211002200-201100-1200-2-1-1-100-1-11100-200-1-100000100
χ402222-12222-122-12-12-2-1-12-2-2-1-1-122-1-1-12-11-21111-2-2-1-1-11111-20-22021100-2-2-1-100-2-200-20110012002-1-1-10011-1-1002001100000-100
χ4122-2-22222-22-2-2-22-2-2022200-22-22-22-2-2-22000000002-2-20000000000000000002-22i−2i2i−2i000000000000000000000002-22i−2i002i−2i0000
χ4222-2-22222-22-2-2-22-2-2022200-22-22-22-2-2-22000000002-2-20000000000000000002-2−2i2i−2i2i000000000000000000000002-2−2i2i00−2i2i0000
χ4322-2-22222-22-2-2-22-2-2022200-22-22-22-2-2-22000000002-2-2000000000000000000-222i−2i−2i2i00000000000000000000000-222i−2i00−2i2i0000
χ4422-2-22222-22-2-2-22-2-2022200-22-22-22-2-2-22000000002-2-2000000000000000000-22−2i2i2i−2i00000000000000000000000-22−2i2i002i−2i0000
χ4544444-2-2-2-24-2-24-24-24-2-21-2-2-2-2-211-2-2-2114-2-2-2-2-211111111104004000-2-200000000000-2001100-2-20000110000000000000000000
χ4644444-2-2-2-24-2-24-24-24-2-21-2-2-2-2-211-2-2-2114-2-2-2-2-21111111110-400-40002200000000000200-1-100220000-1-10000000000000000000
χ4744444-2-2-2-24-2-24-24-2-4-2-2122-2-2-211-2-2-211-422222-1-1111-1-1-1-10400-4000-2-200000000000-2001100220000-1-10000000000000000000
χ4844444-2-2-2-24-2-24-24-2-4-2-2122-2-2-211-2-2-211-422222-1-1111-1-1-1-10-40040002200000000000200-1-100-2-20000110000000000000000000
χ494444-24-24-2-24-2-2-2-2441-2-2441-2-2-2-211-2-21-2-211-2-2-2-211111110040040000-2-2-2-2000000000000-2000-2000001111000000000000000
χ504444-24-24-2-24-2-2-2-2441-2-2441-2-2-2-211-2-21-2-211-2-2-2-2111111100-400-4000022220000000000002000200000-1-1-1-1000000000000000
χ514444-24-24-2-24-2-2-2-24-41-2-2-4-41-2-2-2-211-2-2122-1-12222111-1-1-1-100400-40000-2-222000000000000-200020000011-1-1000000000000000
χ524444-24-24-2-24-2-2-2-24-41-2-2-4-41-2-2-2-211-2-2122-1-12222111-1-1-1-100-4004000022-2-20000000000002000-200000-1-111000000000000000
χ534444-2-24-24-2-24-24-2-24-21-2-2-2-211-2-2-2-21-21-24-2-211-2-21111111400400-2-2000000000000-2011000-2000-211000000000000000000000
χ544444-2-24-24-2-24-24-2-24-21-2-2-2-211-2-2-2-21-21-24-2-211-2-21111111-400-4002200000000000020-1-100020002-1-1000000000000000000000
χ554444-2-24-24-2-24-24-2-2-4-21-222-211-2-2-2-21-212-422-1-122111-1-1-1-1400-400-2-2000000000000-201100020002-1-1000000000000000000000
χ564444-2-24-24-2-24-24-2-2-4-21-222-211-2-2-2-21-212-422-1-122111-1-1-1-1-4004002200000000000020-1-1000-2000-211000000000000000000000
χ5744-4-444-2424-42-4-2-4-40-24-20024-4-22-22-42-200000000-2220000000000000000004-4000000000000000000000000000-220000000000
χ5844-4-444-2424-42-4-2-4-40-24-20024-4-22-22-42-200000000-222000000000000000000-440000000000000000000000000002-20000000000
χ5944-4-44-24-2-442-4-44-4204-2-200-4-22-224-422-200000000-22200000000000000000000004i−4i00000000000000000000000000000−2i2i0000
χ6044-4-44-24-2-442-4-44-4204-2-200-4-22-224-422-200000000-2220000000000000000000000−4i4i000000000000000000000000000002i−2i0000
χ6144-4-4-2444-4-2-4-4242-40-2-24002-224-4-222-4-200000000-222000000000000000000004i−4i000000000000000000000000000−2i2i00000000
χ6244-4-4-2444-4-2-4-4242-40-2-24002-224-4-222-4-200000000-22200000000000000000000−4i4i0000000000000000000000000002i−2i00000000
χ634-44-4444-4-4-444-4-44-4044400-4-4-4-4-4-4444400000000-44-400000000000000000000000000000000000000000000000000000000000
χ644-44-444-2-42-44-2-424-40-24-2002-4-4222-24-2-2000000002-22000000000000−2i32i300000000000000−2i32i300000000000000000000000000000
χ654-44-444-2-42-44-2-424-40-24-2002-4-4222-24-2-2000000002-220000000000002i3−2i3000000000000002i3−2i300000000000000000000000000000
χ664-44-44-242-4-4-24-4-44204-2-2−2i32i3-42222-44-2-2-20000−2i32i3−2i32i32-22−2i3−2i32i32i30000000000000000000000000000000000000000000000000000000
χ674-44-44-242-4-4-24-4-44204-2-22i3−2i3-42222-44-2-2-200002i3−2i32i3−2i32-222i32i3−2i3−2i30000000000000000000000000000000000000000000000000000000
χ684-44-44-2-222-4-2-2-42420-2-21−2i32i3222-1-12-2-2110000−2i32i3i3−i3-11-1i3i3−i3−i300000000−2i32i300000000000000i3−i3000000003-30000000000000000000
χ694-44-44-2-222-4-2-2-42420-2-21−2i32i3222-1-12-2-2110000−2i32i3i3−i3-11-1i3i3−i3−i3000000002i3−2i300000000000000−i3i300000000-330000000000000000000
χ704-44-44-2-222-4-2-2-42420-2-212i3−2i3222-1-12-2-21100002i3−2i3−i3i3-11-1−i3−i3i3i300000000−2i32i300000000000000i3−i300000000-330000000000000000000
χ714-44-44-2-222-4-2-2-42420-2-212i3−2i3222-1-12-2-21100002i3−2i3−i3i3-11-1−i3−i3i3i3000000002i3−2i300000000000000−i3i3000000003-30000000000000000000
χ724-44-4-244-4-42442-4-2-40-2-2400222-4-42-2-24-2000000002-220000000000−2i32i300000000000000−2i32i30000000000000000000000000000000
χ734-44-4-244-4-42442-4-2-40-2-2400222-4-42-2-24-2000000002-2200000000002i3−2i3000000000000002i3−2i30000000000000000000000000000000
χ744-44-4-2-242-42-242-4-220-21-2−2i32i32-1-1222-21-210000i3−i3−2i32i3-11-1i3i3−i3−i3000000−2i32i300000000000000i3−i3000000003-3000000000000000000000
χ754-44-4-2-242-42-242-4-220-21-2−2i32i32-1-1222-21-210000i3−i3−2i32i3-11-1i3i3−i3−i30000002i3−2i300000000000000−i3i300000000-33000000000000000000000
χ764-44-4-2-242-42-242-4-220-21-22i3−2i32-1-1222-21-210000−i3i32i3−2i3-11-1−i3−i3i3i3000000−2i32i300000000000000i3−i300000000-33000000000000000000000
χ774-44-4-2-242-42-242-4-220-21-22i3−2i32-1-1222-21-210000−i3i32i3−2i3-11-1−i3−i3i3i30000002i3−2i300000000000000−i3i3000000003-3000000000000000000000
χ784-4-44444-44-4-4-44-4-440444004-44-44-4-4-4-4400000000-4-4400000000000000000000000000000000000000000000000000000000000
χ794-4-4444-2-4-2-4-4242-440-24-200-2-442-222-42-20000000022-20000000000000023−2300000000000000000000000023−2300000000000000000
χ804-4-4444-2-4-2-4-4242-440-24-200-2-442-222-42-20000000022-200000000000000−2323000000000000000000000000−232300000000000000000
χ814-4-444-2424-42-44-4-4-204-2-20042-22-2-4-422-20000000022-2000000000000000000000000000000000000000000000000000−2i32i3000000
χ824-4-444-2424-42-44-4-4-204-2-20042-22-2-4-422-20000000022-20000000000000000000000000000000000000000000000000002i3−2i3000000
χ834-4-44-244-442-4-4-2-4240-2-2400-22-2-44222-4-20000000022-2000000000000000023−2300000000000000000000000023−23000000000000000
χ844-4-44-244-442-4-4-2-4240-2-2400-22-2-44222-4-20000000022-20000000000000000−2323000000000000000000000000−2323000000000000000
χ854-4-44-24-2-4-22-42-222401-2-20012-22-2-1-1221003-30000-1-113-33-3000000000023−2323−230000000000000000000000−33−33000000000000000
χ864-4-44-24-2-4-22-42-222401-2-20012-22-2-1-1221003-30000-1-113-33-30000000000−2323−232300000000000000000000003−33−3000000000000000
χ874-4-44-24-2-4-22-42-222401-2-20012-22-2-1-122100-330000-1-11-33-33000000000023−23−23230000000000000000000000−333−3000000000000000
χ884-4-44-24-2-4-22-42-222401-2-20012-22-2-1-122100-330000-1-11-33-330000000000−232323−2300000000000000000000003−3−33000000000000000
χ898888-4-4-4-4-4-4-4-4-4-4-4-48222-4-4222222222-1-4-4222222-1-1-1-1-1-1-10000000000000000000000000000000000000000000000000000000
χ908888-4-4-4-4-4-4-4-4-4-4-4-4-822244222222222-144-2-2-2-2-2-2-1-1-111110000000000000000000000000000000000000000000000000000000
χ9188-8-88-4-4-44844-8-4-840-4-42004-442-2-444-22000000002-2-200000000000000000000000000000000000000000000000000000000000
χ9288-8-8-48-484-4-844-44-802-4-400-2-44-442-2442000000002-2-200000000000000000000000000000000000000000000000000000000000
χ9388-8-8-4-48-4-8-44-848440-42-40042-2-44-44-242000000002-2-200000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-4-4-44-4444-444022200-22-22-22-2-2-2-100000000-111−3i33i33i3−3i30000000000000000000000000000000000000000000000000000000
χ9588-8-8-4-4-4-44-4444-444022200-22-22-22-2-2-2-100000000-1113i3−3i3−3i33i30000000000000000000000000000000000000000000000000000000
χ968-88-8-48-4-8448-444-4-802-4-400-24444-22-4-4200000000-22-200000000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4-4444-4-444-440222−4i34i3-2-2-2-2-2-2222-100002i3−2i32i3−2i31-11−i3−i3i3i30000000000000000000000000000000000000000000000000000000
χ988-88-8-4-4-4444-4-444-4402224i3−4i3-2-2-2-2-2-2222-10000−2i32i3−2i32i31-11i3i3−i3−i30000000000000000000000000000000000000000000000000000000
χ998-8-888-4-44-4-84484-8-40-4-4200-44-4-22444-2200000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1008-8-88-4-484844-8-4-84-40-42-400-4-224-444-24200000000-2-2200000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-4-44-4444-444-40222002-22-22-2-2-2-2-1006-6000011-1-33-330000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-44-4444-444-40222002-22-22-2-2-2-2-100-66000011-13-33-30000000000000000000000000000000000000000000000000000000

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