Finite Group Databasebeta

← Group #10594141

Character table — Group #10594141

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222244444444446666888888888812121212121212121212121212121818181818182424242436
order12222233666666344666666644446612121212121212124444441212121212121212224444121212124
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111111111-11-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1
χ3111111111111111111111111-1-1111111111111-1-11-111-1-1-1-11111-1-1-1-1-1-1-11-11-1
χ4111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ5111111111111111-1-11111111111111-1-1-1-1-1-1-1-11-1-1-11-111111111-1-1-1-111-1-1-1-11
χ6111111111111111-1-1111111111-1-111-1-1-1-1-1-1-1-11-11-1-111111-1-1-1-11111-1-1-11-11-1
χ7111111111111111-1-11111111-1-11111-1-1-1-1-1-1-1-1-11-111-1-1-1-1-111111111-1-11-11-1-1
χ8111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1111-11-1-1-1-1-1-1-1-1-1-1-1-11111111
χ91111-1-11111111111-1-1-1-1-11111111-1-11-11-111-1-1-11-1-1-1111-1-111-1-1-1-11111-1-111-1
χ101111-1-11111111111-1-1-1-1-111111-1-1-1-11-11-111-1-1-111-11-111-1-1-1-11111-1-1-1-1-111-11
χ111111-1-11111111111-1-1-1-1-1111-1-111-1-11-11-111-1-11-1-11-11-1-11111-1-111-1-1-1-11-1-111
χ121111-1-11111111111-1-1-1-1-1111-1-1-1-1-1-11-11-111-1-11-1111-1-1-111-1-111-1-1111111-1-1-1
χ131111-1-1111111111-11-1-1-1-11111111-1-1-11-11-1-111-1-111-1-111-1-111-1-111-1-11111-1-1-1
χ141111-1-1111111111-11-1-1-1-111111-1-1-1-1-11-11-1-111-1-1-111111-1-1-1-111-1-111-1-11-1-111
χ151111-1-1111111111-11-1-1-1-1111-1-111-1-1-11-11-1-111111-1-1-1-1-11111-1-1-1-111-1-1-111-11
χ161111-1-1111111111-11-1-1-1-1111-1-1-1-1-1-1-11-11-1-11111-1-111-1-111-1-11111-1-111-1-111-1
χ172222222-12-12-12-1-12222-1-1-1-1-10022-1-1-122-1-1-1-1-10020220000-1-1-1-10000000-10-10
χ182222222-12-12-12-1-12222-1-1-1-1-100-2-2-1-1-122-1-1-1-1-100-20-2-20000111100000001010
χ192222222-12-12-12-1-1-2-222-1-1-1-1-10022-1-11-2-21111100-202-20000-1-1-1-100000001010
χ202222222-12-12-12-1-1-2-222-1-1-1-1-100-2-2-1-11-2-2111110020-22000011110000000-10-10
χ21222222-12-12-12-12-122-1-122-1-1-12200-1-12-1-12-1-1-1-1220200-1-1-1-10000000000-10-100
χ22222222-12-12-12-12-122-1-122-1-1-1-2-200-1-12-1-12-1-1-1-1-2-20-2001111000000000010100
χ23222222-12-12-12-12-1-2-2-1-122-1-1-12200-1-1-211-211112-20-200-1-1-1-1000000000010100
χ24222222-12-12-12-12-1-2-2-1-122-1-1-1-2-200-1-1-211-21111-22020011110000000000-10-100
χ252222-2-22-12-12-12-1-12-2-2-211-1-1-1002211-1-221-1-11100-20-220000-1-111000000010-10
χ262222-2-22-12-12-12-1-12-2-2-211-1-1-100-2-211-1-221-1-11100202-2000011-1-10000000-1010
χ272222-2-22-12-12-12-1-1-22-2-211-1-1-100221112-2-111-1-10020-2-20000-1-1110000000-1010
χ282222-2-22-12-12-12-1-1-22-2-211-1-1-100-2-21112-2-111-1-100-2022000011-1-1000000010-10
χ292222-2-2-12-12-12-12-12-211-2-2-1-1-122001121-1-2-1-111-220-200-1-111000000000010-100
χ302222-2-2-12-12-12-12-12-211-2-2-1-1-1-2-2001121-1-2-1-1112-2020011-1-10000000000-10100
χ312222-2-2-12-12-12-12-1-2211-2-2-1-1-1220011-2-11211-1-1-2-20200-1-1110000000000-10100
χ322222-2-2-12-12-12-12-1-2211-2-2-1-1-1-2-20011-2-11211-1-1220-20011-1-1000000000010-100
χ3322-2-22-22222-2-2-2-22002-22-22-2-200002-200000000000000000000002-22-20000000
χ3422-2-22-22222-2-2-2-22002-22-22-2-200002-20000000000000000000000-22-220000000
χ3522-2-2-222222-2-2-2-2200-22-222-2-20000-2200000000000000000000002-2-220000000
χ3622-2-2-222222-2-2-2-2200-22-222-2-20000-220000000000000000000000-222-20000000
χ372-22-20022-2-2-222-22000000-22-22-22i−2i00000000000000002-2002i−2i0000002i−2i00000
χ382-22-20022-2-2-222-22000000-22-22-2−2i2i00000000000000002-200−2i2i000000−2i2i00000
χ392-22-20022-2-2-222-22000000-22-2-222i−2i0000000000000000-22002i−2i000000−2i2i00000
χ402-22-20022-2-2-222-22000000-22-2-22−2i2i0000000000000000-2200−2i2i0000002i−2i00000
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
χ434444-4-4-2-2-2-2-2-2-2-214-422221110000-1-1-22-2211-1-10000000000000000000000000
χ444444-4-4-2-2-2-2-2-2-2-21-4422221110000-1-12-22-2-1-1110000000000000000000000000
χ4544-4-44-44-24-2-42-42-2004-4-22-2220000-22000000000000000000000000000000000
χ4644-4-44-4-24-242-42-4-200-224-4-2220000-22000000000000000000000000000000000
χ4744-4-44-4-2-2-2-22222100-22-221-1-100001-100003i−3i3i−3i0000000000000000000000000
χ4844-4-44-4-2-2-2-22222100-22-221-1-100001-10000−3i3i−3i3i0000000000000000000000000
χ4944-4-4-444-24-2-42-42-200-442-2-22200002-2000000000000000000000000000000000
χ5044-4-4-44-24-242-42-4-2002-2-44-22200002-2000000000000000000000000000000000
χ5144-4-4-44-2-2-2-222221002-22-21-1-10000-1100003i−3i−3i3i0000000000000000000000000
χ5244-4-4-44-2-2-2-222221002-22-21-1-10000-110000−3i3i3i−3i0000000000000000000000000
χ534-44-4004-2-42-4-242-20000002-22004i−4i00000000000000000000−2i2i0000000000000
χ544-44-4004-2-42-4-242-20000002-2200−4i4i000000000000000000002i−2i0000000000000
χ554-44-400-242-424-2-4-20000002-224-4000000000000000000-2200000000000000000
χ564-44-400-242-424-2-4-20000002-22-440000000000000000002-200000000000000000
χ574-4-440044-4-44-4-444000000-4-44000000000000000000000000000000000000000
χ584-4-44004-2-4242-4-2-200000022-200000000000000000000000000−2i32i300000000000
χ594-4-44004-2-4242-4-2-200000022-2000000000000000000000000002i3−2i300000000000
χ604-4-4400-242-4-2-424-200000022-2000000000000000000000023−23000000000000000
χ614-4-4400-242-4-2-424-200000022-20000000000000000000000−2323000000000000000
χ628-88-800-4-4444-4-442000000-22-2000000000000000000000000000000000000000
χ638-8-8800-4-444-444-42000000-2-22000000000000000000000000000000000000000

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