Finite Group Databasebeta

← Group #10594431

Character table — Group #10594431

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222224444444444466666666888888888812121212121212121212121218181818242424243636
order12223366666634446661212121222444444121212121212121212122444661212121212124444612121244
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-111111111111-1-1111-1-111-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111-1-111-1-1111111111111-111-1-1-111-1-111-1-1-1-1-1-111-1-1
χ411111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ511111111111111-1-1111-1-1-1-11111-1-1-1-11-1-1111-1-1-1-1-1-11111-1-1-1-1111111-111-1-1-1
χ611111111111111-1-1111-1-1-1-111-1-1-1-1111-1-1111-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-11-1111
χ711111111111111-1-1111-1-1-1-1-1-11111-1-11-1-1111-1-1-1-11-11-1-1-1-1-11111-1-1-1-11-11-111
χ811111111111111-1-1111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-111-1-1-1-11111-1-111111-1-11-1-1
χ91111111111111-11-111111-1-1111111-1-1-11-1-1-1-111-1-1-11-1-111-1-11111-1-111-1-1-111-1
χ101111111111111-11-111111-1-111-1-11111-11-1-1-1-111-1-1-1-11-1111111-1-111-1-1-1-11-1-11
χ111111111111111-11-111111-1-1-1-111-1-1-1-1-11-1-1-1-111-1-111-11-1-1-1-1-1-11111-1-111-11-11
χ121111111111111-11-111111-1-1-1-1-1-1-1-111-11-1-1-1-111-1-11-111-1-111-1-1-1-1-1-111111-11-1
χ131111111111111-1-11111-1-1111111-1-111-1-11-1-1-1-1-1111-1-1-11111-1-111-1-1111-1-1-1-11
χ141111111111111-1-11111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1-111111-111-1-1-1-1-1-111-1-11-1111-1
χ151111111111111-1-11111-1-111-1-1111111-1-11-1-1-1-1-111-1-1-11-1-111111111-1-1-11-1-11-1
χ161111111111111-1-11111-1-111-1-1-1-111-1-1-1-11-1-1-1-1-111-1111-1-1-1-111-1-1-1-111-1111-11
χ1722222-1-12-12-12-1222-1-1-1-1-12222002200-12-12-1-1-1-1-1-12002-1-100-1-1000000-1-10000
χ1822222-1-12-12-12-1222-1-1-1-1-122-2-200-2-200-12-12-1-1-1-1-1-1-200-2110011000000110000
χ1922222-1-12-12-12-12-2-2-1-1-111-2-22200-2-200-1-212-1-11111-2002-1-100110000001-10000
χ2022222-1-12-12-12-12-2-2-1-1-111-2-2-2-2002200-1-212-1-11111200-21100-1-1000000-110000
χ2122222-1-12-12-12-1-22-2-1-1-1-1-1-2-222002200121-211-1-111-200-2-1-100-1-1000000110000
χ2222222-1-12-12-12-1-22-2-1-1-1-1-1-2-2-2-200-2-200121-211-1-1112002110011000000-1-10000
χ2322222-1-12-12-12-1-2-22-1-1-111222200-2-2001-2-1-21111-1-1200-2-1-10011000000-110000
χ2422222-1-12-12-12-1-2-22-1-1-11122-2-20022001-2-1-21111-1-1-20021100-1-10000001-10000
χ252222-122-12-12-1-1222-1-1-122-1-1002200222-12-1-1-1-1-1-1-1022000-1-100-1-1000000-1-100
χ262222-122-12-12-1-1222-1-1-122-1-100-2-200-2-22-12-1-1-1-1-1-1-10-2-20001100110000001100
χ272222-122-12-12-1-12-2-2-1-1-1-2-211002200-2-221-2-1-1-111110-220001100-1-1000000-1100
χ282222-122-12-12-1-12-2-2-1-1-1-2-21100-2-2002221-2-1-1-1111102-2000-1-100110000001-100
χ292222-122-12-12-1-1-22-2-1-1-12211002200-2-2-2-1-2111-1-11102-20001100-1-10000001-100
χ302222-122-12-12-1-1-22-2-1-1-1221100-2-20022-2-1-2111-1-1110-22000-1-10011000000-1100
χ312222-122-12-12-1-1-2-22-1-1-1-2-2-1-100220022-21211111-1-10-2-2000-1-100-1-10000001100
χ322222-122-12-12-1-1-2-22-1-1-1-2-2-1-100-2-200-2-2-21211111-1-1022000110011000000-1-100
χ332-22-222-2-2-222-22000-2-2200002-22i−2i0000000000000000002-200002i−2i002i−2i000000
χ342-22-222-2-2-222-22000-2-2200002-2−2i2i0000000000000000002-20000−2i2i00−2i2i000000
χ352-22-222-2-2-222-22000-2-220000-222i−2i000000000000000000-2200002i−2i00−2i2i000000
χ362-22-222-2-2-222-22000-2-220000-22−2i2i000000000000000000-220000−2i2i002i−2i000000
χ372-2-2222-222-2-2-220002-2-2000000002i−2i2-200000000000000002-22i−2i002i−2i00000000
χ382-2-2222-222-2-2-220002-2-2000000002i−2i-220000000000000000-222i−2i00−2i2i00000000
χ392-2-2222-222-2-2-220002-2-200000000−2i2i2-200000000000000002-2−2i2i00−2i2i00000000
χ402-2-2222-222-2-2-220002-2-200000000−2i2i-220000000000000000-22−2i2i002i−2i00000000
χ414444-2-2-2-2-2-2-2-21444111-2-2-2-200000000-2-2-2-21111110000000000000000000000
χ424444-2-2-2-2-2-2-2-214-4-4111222200000000-222-211-1-1-1-10000000000000000000000
χ434444-2-2-2-2-2-2-2-21-44-4111-2-222000000002-222-1-111-1-10000000000000000000000
χ444444-2-2-2-2-2-2-2-21-4-4411122-2-20000000022-22-1-1-1-1110000000000000000000000
χ4544-4-4444-4-4-4-444000-44-400000000000000000000000000000000000000000000
χ4644-4-44-2-2-42-424-20002-2223−23000000000000000023−23000000000000000000000000
χ4744-4-44-2-2-42-424-20002-22−23230000000000000000−2323000000000000000000000000
χ4844-4-4-2442-42-4-2-20002-220023−23000000000000000023−230000000000000000000000
χ4944-4-4-2442-42-4-2-20002-2200−23230000000000000000−23230000000000000000000000
χ5044-4-4-2-2-22222-21000-11-123−2323−230000000000003-3−33−330000000000000000000000
χ5144-4-4-2-2-22222-21000-11-123−23−2323000000000000-33−333−30000000000000000000000
χ5244-4-4-2-2-22222-21000-11-1−232323−23000000000000-333−3−330000000000000000000000
χ5344-4-4-2-2-22222-21000-11-1−2323−23230000000000003-33−33−30000000000000000000000
χ544-44-44-22-424-2-4-200022-200004-400000000000000000000-220000000000000000
χ554-44-44-22-424-2-4-200022-20000-44000000000000000000002-20000000000000000
χ564-44-4-24-42-4-242-200022-20000004i−4i000000000000000000000000−2i2i0000000000
χ574-44-4-24-42-4-242-200022-2000000−4i4i0000000000000000000000002i−2i0000000000
χ584-4-444-224-2-42-4-2000-222000000004i−4i00000000000000000000−2i2i000000000000
χ594-4-444-224-2-42-4-2000-22200000000−4i4i000000000000000000002i−2i000000000000
χ604-4-44-24-4-242-42-2000-22200000000004-40000000000000000-2200000000000000
χ614-4-44-24-4-242-42-2000-2220000000000-4400000000000000002-200000000000000
χ628-88-8-4-4444-4-442000-2-2200000000000000000000000000000000000000000000
χ638-8-88-4-44-4-444420002-2-200000000000000000000000000000000000000000000

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