Finite Group Databasebeta

← Group #10594083

Character table — Group #10594083

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222244444444446666888888888812121212121212121212121212121818181818182424242436
order122222336666663446666666444466121212121212121222444412121212121212122244446612124
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111111111111-111-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1
χ3111111111111111111111111-1-1111111111111-11-1-111-1-1-1-11111-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ5111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-11-11-111111111-1-111-1-1-1-1-1-11
χ6111111111111111-1-1111111111-1-111-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-111-1-111-11-11-1
χ7111111111111111-1-11111111-1-11111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1111111-1-1111-11-1-1
χ8111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-111-1-111111
χ91111-1-11111111111-1-1-1-1-11111111-1-111-1-111-1-111-1-1-1-111-1-111-1-1-1-1111111-1-1-1
χ101111-1-11111111111-1-1-1-1-111111-1-1-1-111-1-111-1-11-1-1-11111-1-1-1-11111-1-1-1-11-1-111
χ111111-1-11111111111-1-1-1-1-1111-1-111-1-111-1-111-1-1-1111-1-1-1-11111-1-111-1-1-1-1-111-11
χ121111-1-11111111111-1-1-1-1-1111-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-11111-1-111-1
χ131111-1-1111111111-11-1-1-1-11111111-1-1-1-111-1-111-1-1-11-1111-1-111-1-11111-1-1-1-111-1
χ141111-1-1111111111-11-1-1-1-111111-1-1-1-1-1-111-1-111-11-111-111-1-1-1-111-1-1-1-111-111-11
χ151111-1-1111111111-11-1-1-1-1111-1-111-1-1-1-111-1-1111-11-1-11-1-11111-1-1-1-1-1-1111-1-111
χ161111-1-1111111111-11-1-1-1-1111-1-1-1-1-1-1-1-111-1-111111-11-1-1-111-1-1111111-1-111-1-1-1
χ172222222-122-1-12-1-12222-1-1-1-1-10022-1-12-12-1-1-1-1-10200220000-1-1-1-10000000-10-10
χ182222222-122-1-12-1-12222-1-1-1-1-100-2-2-1-12-12-1-1-1-1-10-200-2-20000111100000001010
χ192222222-122-1-12-1-1-2-222-1-1-1-1-10022-1-1-21-2111110-2002-20000-1-1-1-100000001010
χ202222222-122-1-12-1-1-2-222-1-1-1-1-100-2-2-1-1-21-2111110200-22000011110000000-10-10
χ21222222-12-1-122-12-122-1-122-1-1-12200-1-1-12-12-1-1-1-1202200-1-1-1-10000000000-10-100
χ22222222-12-1-122-12-122-1-122-1-1-1-2-200-1-1-12-12-1-1-1-1-20-2-2001111000000000010100
χ23222222-12-1-122-12-1-2-2-1-122-1-1-12200-1-11-21-21111-202-200-1-1-1-1000000000010100
χ24222222-12-1-122-12-1-2-2-1-122-1-1-1-2-200-1-11-21-2111120-220011110000000000-10-100
χ252222-2-22-122-1-12-1-12-2-2-211-1-1-10022112-1-21-1-1110200-2-20000-1-1110000000-1010
χ262222-2-22-122-1-12-1-12-2-2-211-1-1-100-2-2112-1-21-1-1110-20022000011-1-1000000010-10
χ272222-2-22-122-1-12-1-1-22-2-211-1-1-1002211-212-111-1-10-200-220000-1-111000000010-10
χ282222-2-22-122-1-12-1-1-22-2-211-1-1-100-2-211-212-111-1-102002-2000011-1-10000000-1010
χ292222-2-2-12-1-122-12-12-211-2-2-1-1-1220011-121-2-1-11120-2-200-1-1110000000000-10100
χ302222-2-2-12-1-122-12-12-211-2-2-1-1-1-2-20011-121-2-1-111-20220011-1-1000000000010-100
χ312222-2-2-12-1-122-12-1-2211-2-2-1-1-12200111-2-1211-1-1-20-2200-1-111000000000010-100
χ322222-2-2-12-1-122-12-1-2211-2-2-1-1-1-2-200111-2-1211-1-1202-20011-1-10000000000-10100
χ332-22-200222-22-2-2-22000000-22-22i−2i2i−2i00000000000000002i−2i002i−2i00002-20000000
χ342-22-200222-22-2-2-22000000-22-22i−2i−2i2i00000000000000002i−2i00−2i2i0000-220000000
χ352-22-200222-22-2-2-22000000-22-2−2i2i2i−2i0000000000000000−2i2i002i−2i0000-220000000
χ362-22-200222-22-2-2-22000000-22-2−2i2i−2i2i0000000000000000−2i2i00−2i2i00002-20000000
χ372-2-222-222-2-2-2-2222002-22-22-2-200002-200000000000000000000002-2002-200000
χ382-2-222-222-2-2-2-2222002-22-22-2-200002-20000000000000000000000-2200-2200000
χ392-2-22-2222-2-2-2-222200-22-222-2-20000-2200000000000000000000002-200-2200000
χ402-2-22-2222-2-2-2-222200-22-222-2-20000-220000000000000000000000-22002-200000
χ41444444-2-2-2-2-2-2-2-2144-2-2-2-2111000011-2-2-2-211110000000000000000000000000
χ42444444-2-2-2-2-2-2-2-21-4-4-2-2-2-21110000112222-1-1-1-10000000000000000000000000
χ434444-4-4-2-2-2-2-2-2-2-214-422221110000-1-1-2-22211-1-10000000000000000000000000
χ444444-4-4-2-2-2-2-2-2-2-21-4422221110000-1-122-2-2-1-1110000000000000000000000000
χ4544-4-40044-44-44-4-44000000-4-44000000000000000000000000000000000000000
χ4644-4-4004-2-442-2-42-200000022-20000000000000000000000000023−2300000000000
χ4744-4-4004-2-442-2-42-200000022-200000000000000000000000000−232300000000000
χ4844-4-400-242-2-442-4-200000022-2000000000000000000000023−23000000000000000
χ4944-4-400-242-2-442-4-200000022-20000000000000000000000−2323000000000000000
χ504-44-4004-24-4-22-42-20000002-22004i−4i00000000000000000000−2i2i0000000000000
χ514-44-4004-24-4-22-42-20000002-2200−4i4i000000000000000000002i−2i0000000000000
χ524-44-400-24-224-42-4-20000002-224i−4i000000000000000000−2i2i00000000000000000
χ534-44-400-24-224-42-4-20000002-22−4i4i0000000000000000002i−2i00000000000000000
χ544-4-444-44-2-4-4224-2-2004-4-22-2220000-22000000000000000000000000000000000
χ554-4-444-4-2422-4-4-24-200-224-4-2220000-22000000000000000000000000000000000
χ564-4-444-4-2-22222-2-2100-22-221-1-100001-100003i−3i3i−3i0000000000000000000000000
χ574-4-444-4-2-22222-2-2100-22-221-1-100001-10000−3i3i−3i3i0000000000000000000000000
χ584-4-44-444-2-4-4224-2-200-442-2-22200002-2000000000000000000000000000000000
χ594-4-44-44-2422-4-4-24-2002-2-44-22200002-2000000000000000000000000000000000
χ604-4-44-44-2-22222-2-21002-22-21-1-10000-1100003i−3i−3i3i0000000000000000000000000
χ614-4-44-44-2-22222-2-21002-22-21-1-10000-110000−3i3i3i−3i0000000000000000000000000
χ6288-8-800-4-44-44-4442000000-2-22000000000000000000000000000000000000000
χ638-88-800-4-4-44-44442000000-22-2000000000000000000000000000000000000000

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