Finite Group Databasebeta

← Group #10594514

Character table — Group #10594514

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222224444444444466666666888888888812121212121212121212121218181818242424243636
order12223366666634446661212121222224444121212121212121212122244666612121212444466121244
χ1111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111-1-111-1-111111111111-11-111-1-111-1-1-1-1-1-11-11-1-1-1
χ311111111111111111111111-1-111-1-1111111111111-11-11-1-111-1-111-1-1-1-1-11-11-1-1
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
χ511111111111111-1-1111-1-1-1-11111-1-1-1-111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1
χ611111111111111-1-1111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-111-111-1-1-1-111-1-1-1-1-111-111
χ711111111111111-1-1111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11-1-11-1-11111-1-1-1-1-1-11-1-1111
χ811111111111111-1-1111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1
χ91111111111111-11-111111-1-1111111-1-1-1-11-1-1-111-1-1-11-1-1111111-1-1-1-111-11-1-11-1
χ101111111111111-11-111111-1-111-1-11111-1-11-1-1-111-1-1-1-1-1111-1-1111111-1-1-1-1-11-11
χ111111111111111-11-111111-1-1-1-111-1-1-1-1-1-11-1-1-111-1-1111-1-1-111-1-1-1-111-1-1111-1-11
χ121111111111111-11-111111-1-1-1-1-1-1-1-111-1-11-1-1-111-1-11-111-1-1-1-1-1-111-1-1111-1111-1
χ131111111111111-1-11111-1-1111111-1-111-1-1-11-1-1-1-1111-1-1-11111-1-111-1-1111-1-1-1-11
χ141111111111111-1-11111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1111-1-1-1-1-1-111-1-111-111-1
χ151111111111111-1-11111-1-111-1-1111111-1-1-11-1-1-1-111-1-11-1-1-111111111-1-1-1-11-11-1
χ161111111111111-1-11111-1-111-1-1-1-111-1-1-1-1-11-1-1-1-111-1111-1-1-1-111-1-1-1-111-1111-11
χ1722222-12-12-12-1-1222-1-1-122-1-1002200222-1-12-1-1-1-1-1-1020200-1-100-1-100000-10-100
χ1822222-12-12-12-1-1222-1-1-122-1-100-2-200-2-22-1-12-1-1-1-1-1-10-20-2001100110000010100
χ1922222-12-12-12-1-12-2-2-1-1-1-2-211002200-2-22-11-2-1-111110-20200-1-100110000010-100
χ2022222-12-12-12-1-12-2-2-1-1-1-2-21100-2-200222-11-2-1-11111020-2001100-1-100000-10100
χ2122222-12-12-12-1-1-22-2-1-1-12211002200-2-2-21-1-211-1-111020-200-1-1001100000-10100
χ2222222-12-12-12-1-1-22-2-1-1-1221100-2-20022-21-1-211-1-1110-202001100-1-10000010-100
χ2322222-12-12-12-1-1-2-22-1-1-1-2-2-1-100220022-21121111-1-10-20-200-1-100-1-10000010100
χ2422222-12-12-12-1-1-2-22-1-1-1-2-2-1-100-2-200-2-2-21121111-1-102020011001100000-10-100
χ252222-12-12-12-12-1222-1-1-1-1-12222002200-122-1-1-1-1-1-1-12020-1-100-1-1000000-10-1000
χ262222-12-12-12-12-1222-1-1-1-1-122-2-200-2-200-122-1-1-1-1-1-1-1-20-20110011000000101000
χ272222-12-12-12-12-12-2-2-1-1-111-2-22200-2-200-12-21-1-11111-2020-1-1001100000010-1000
χ282222-12-12-12-12-12-2-2-1-1-111-2-2-2-2002200-12-21-1-1111120-201100-1-1000000-101000
χ292222-12-12-12-12-1-22-2-1-1-1-1-1-2-2220022001-22111-1-111-20-20-1-100-1-1000000101000
χ302222-12-12-12-12-1-22-2-1-1-1-1-1-2-2-2-200-2-2001-22111-1-1112020110011000000-10-1000
χ312222-12-12-12-12-1-2-22-1-1-111222200-2-2001-2-2-11111-1-120-20-1-10011000000-101000
χ322222-12-12-12-12-1-2-22-1-1-11122-2-20022001-2-2-11111-1-1-20201100-1-100000010-1000
χ332-22-222-2-222-2-220002-2-2000000002i−2i2i−2i0000000000000000002i−2i2i−2i2-200000000
χ342-22-222-2-222-2-220002-2-2000000002i−2i−2i2i0000000000000000002i−2i−2i2i-2200000000
χ352-22-222-2-222-2-220002-2-200000000−2i2i2i−2i000000000000000000−2i2i2i−2i-2200000000
χ362-22-222-2-222-2-220002-2-200000000−2i2i−2i2i000000000000000000−2i2i−2i2i2-200000000
χ372-2-2222-2-2-2-2222000-2-2200002-22-20000000000000000002-22-20000002-2000000
χ382-2-2222-2-2-2-2222000-2-2200002-2-220000000000000000002-2-22000000-22000000
χ392-2-2222-2-2-2-2222000-2-220000-222-2000000000000000000-222-2000000-22000000
χ402-2-2222-2-2-2-2222000-2-220000-22-22000000000000000000-22-220000002-2000000
χ414444-2-2-2-2-2-2-2-21444111-2-2-2-200000000-2-2-2-21111110000000000000000000000
χ424444-2-2-2-2-2-2-2-214-4-4111222200000000-2-22211-1-1-1-10000000000000000000000
χ434444-2-2-2-2-2-2-2-21-44-4111-2-2220000000022-22-1-111-1-10000000000000000000000
χ444444-2-2-2-2-2-2-2-21-4-4411122-2-200000000222-2-1-1-1-1110000000000000000000000
χ4544-4-44444-4-4-4-44000-44-400000000000000000000000000000000000000000000
χ4644-4-44-24-2-42-42-20002-220023−23000000000000000023−230000000000000000000000
χ4744-4-44-24-2-42-42-20002-2200−23230000000000000000−23230000000000000000000000
χ4844-4-4-24-242-42-4-20002-2223−23000000000000000023−23000000000000000000000000
χ4944-4-4-24-242-42-4-20002-22−23230000000000000000−2323000000000000000000000000
χ5044-4-4-2-2-2-222221000-11-123−2323−230000000000003-3−33−330000000000000000000000
χ5144-4-4-2-2-2-222221000-11-123−23−2323000000000000-33−333−30000000000000000000000
χ5244-4-4-2-2-2-222221000-11-1−232323−23000000000000-333−3−330000000000000000000000
χ5344-4-4-2-2-2-222221000-11-1−2323−23230000000000003-33−33−30000000000000000000000
χ544-44-44-2-424-2-42-2000-22200000000004i−4i00000000000000000000−2i2i0000000000
χ554-44-44-2-424-2-42-2000-2220000000000−4i4i000000000000000000002i−2i0000000000
χ564-44-4-242-4-242-4-2000-222000000004i−4i00000000000000000000−2i2i000000000000
χ574-44-4-242-4-242-4-2000-22200000000−4i4i000000000000000000002i−2i000000000000
χ584-4-444-2-42-424-2-200022-20000004-400000000000000000000-2200000000000000
χ594-4-444-2-42-424-2-200022-2000000-44000000000000000000002-200000000000000
χ604-4-44-242-42-4-24-200022-200004-400000000000000000000-220000000000000000
χ614-4-44-242-42-4-24-200022-20000-44000000000000000000002-20000000000000000
χ628-88-8-4-444-4-44420002-2-200000000000000000000000000000000000000000000
χ638-8-88-4-44444-4-42000-2-2200000000000000000000000000000000000000000000

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