Finite Group Databasebeta

← Group #10594119

Character table — Group #10594119

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222222244444444446666888888888812121212121212121212121212121818181818182424242436
order122222336666663446666666224466121212121212121222444466661212121244444461212124
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-1111111111111-1-1-111111-1-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111-1-1111111111111-1-1111-1-1-1-1-11111-1-1-1-1-1-1-1-111-1
χ4111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ5111111111111111-1-11111111111111-1-1-1-1-1-1-1-11-1-11-1-111111111-1-1-1-111-1-1-1-11
χ6111111111111111-1-1111111111-1-111-1-1-1-1-1-1-1-11-11-11-11111-1-1-1-11111-1-1-1-111-1
χ7111111111111111-1-11111111-1-11111-1-1-1-1-1-1-1-1-11-11-11-1-1-1-111111111-1-111-1-1-1
χ8111111111111111-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-11111111
χ91111-1-11111111111-1-1-1-1-11111111-1-11-11-111-1-1-11-1-11-111-1-111-1-1-1-111111-1-11-1
χ101111-1-11111111111-1-1-1-1-111111-1-1-1-11-11-111-1-1-1111-1-111-1-1-1-11111-1-1-1-11-11-11
χ111111-1-11111111111-1-1-1-1-1111-1-111-1-11-11-111-1-11-1-1-111-1-11111-1-111-1-1-1-1-11-111
χ121111-1-11111111111-1-1-1-1-1111-1-1-1-1-1-11-11-111-1-11-111-11-1-111-1-111-1-11111-111-1-1
χ131111-1-1111111111-11-1-1-1-11111111-1-1-11-11-1-111-1-11-1-1111-1-111-1-111-1-111-111-1-1
χ141111-1-1111111111-11-1-1-1-111111-1-1-1-1-11-11-1-111-1-1-111111-1-1-1-111-1-111-1-1-11-111
χ151111-1-1111111111-11-1-1-1-1111-1-111-1-1-11-11-1-111111-1-1-1-1-11111-1-1-1-111-1-11-11-11
χ161111-1-1111111111-11-1-1-1-1111-1-1-1-1-1-1-11-11-1-11111-111-1-1-111-1-11111-1-1111-1-11-1
χ172222222-12-1-1-122-12222-1-1-1-1-12200-1-1-1-122-1-1-1-1220002-1-1-1-10000000000-1-1000
χ182222222-12-1-1-122-12222-1-1-1-1-1-2-200-1-1-1-122-1-1-1-1-2-2000-21111000000000011000
χ192222222-12-1-1-122-1-2-222-1-1-1-1-12200-1-111-2-211112-2000-2-1-1-1-1000000000011000
χ202222222-12-1-1-122-1-2-222-1-1-1-1-1-2-200-1-111-2-21111-22000211110000000000-1-1000
χ21222222-12-1222-1-1-122-1-122-1-1-10022-1-122-1-1-1-1-1-10022200000-1-1-1-100000000-1-10
χ22222222-12-1222-1-1-122-1-122-1-1-100-2-2-1-122-1-1-1-1-1-100-2-2-200000111100000000110
χ23222222-12-1222-1-1-1-2-2-1-122-1-1-10022-1-1-2-211111100-22-200000-1-1-1-100000000110
χ24222222-12-1222-1-1-1-2-2-1-122-1-1-100-2-2-1-1-2-2111111002-2200000111100000000-1-10
χ252222-2-22-12-1-1-122-12-2-2-211-1-1-1220011-112-2-1-111-22000-2-1-1110000000000-11000
χ262222-2-22-12-1-1-122-12-2-2-211-1-1-1-2-20011-112-2-1-1112-2000211-1-100000000001-1000
χ272222-2-22-12-1-1-122-1-22-2-211-1-1-12200111-1-2211-1-1-2-20002-1-11100000000001-1000
χ282222-2-22-12-1-1-122-1-22-2-211-1-1-1-2-200111-1-2211-1-122000-211-1-10000000000-11000
χ292222-2-2-12-1222-1-1-12-211-2-2-1-1-10022112-2-11-1-11100-2-2200000-1-111000000001-10
χ302222-2-2-12-1222-1-1-12-211-2-2-1-1-100-2-2112-2-11-1-1110022-20000011-1-100000000-110
χ312222-2-2-12-1222-1-1-1-2211-2-2-1-1-1002211-221-111-1-1002-2-200000-1-11100000000-110
χ322222-2-2-12-1222-1-1-1-2211-2-2-1-1-100-2-211-221-111-1-100-2220000011-1-1000000001-10
χ3322-2-20022-22-2-22-22000000-22-22-22i−2i00000000000000002-2002i−2i0000002i−2i00000
χ3422-2-20022-22-2-22-22000000-22-22-2−2i2i00000000000000002-200−2i2i000000−2i2i00000
χ3522-2-20022-22-2-22-22000000-22-2-222i−2i0000000000000000-22002i−2i000000−2i2i00000
χ3622-2-20022-22-2-22-22000000-22-2-22−2i2i0000000000000000-2200−2i2i0000002i−2i00000
χ372-2-222-2222-2-22-2-22002-22-22-2-200002-200000000000000000000002i−2i2i−2i0000000
χ382-2-222-2222-2-22-2-22002-22-22-2-200002-20000000000000000000000−2i2i−2i2i0000000
χ392-2-22-22222-2-22-2-2200-22-222-2-20000-2200000000000000000000002i−2i−2i2i0000000
χ402-2-22-22222-2-22-2-2200-22-222-2-20000-220000000000000000000000−2i2i2i−2i0000000
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
χ4544-4-4004-2-4-2224-4-20000002-224-4000000000000000000-2200000000000000000
χ4644-4-4004-2-4-2224-4-20000002-22-440000000000000000002-200000000000000000
χ4744-4-400-2424-4-4-22-20000002-22004i−4i00000000000000000000−2i2i0000000000000
χ4844-4-400-2424-4-4-22-20000002-2200−4i4i000000000000000000002i−2i0000000000000
χ494-44-40044-4-44-4-444000000-4-44000000000000000000000000000000000000000
χ504-44-4004-2-42-22-44-200000022-20000000000000000000000−2i32i3000000000000000
χ514-44-4004-2-42-22-44-200000022-200000000000000000000002i3−2i3000000000000000
χ524-44-400-242-44-42-2-200000022-200000000000000000000000000−2i32i300000000000
χ534-44-400-242-44-42-2-200000022-2000000000000000000000000002i3−2i300000000000
χ544-4-444-44-2422-2-4-4-2004-4-22-2220000-22000000000000000000000000000000000
χ554-4-444-4-24-2-4-4422-200-224-4-2220000-22000000000000000000000000000000000
χ564-4-444-4-2-2-222-222100-22-221-1-100001-100003i−3i3i−3i0000000000000000000000000
χ574-4-444-4-2-2-222-222100-22-221-1-100001-10000−3i3i−3i3i0000000000000000000000000
χ584-4-44-444-2422-2-4-4-200-442-2-22200002-2000000000000000000000000000000000
χ594-4-44-44-24-2-4-4422-2002-2-44-22200002-2000000000000000000000000000000000
χ604-4-44-44-2-2-222-2221002-22-21-1-10000-1100003i−3i−3i3i0000000000000000000000000
χ614-4-44-44-2-2-222-2221002-22-21-1-10000-110000−3i3i3i−3i0000000000000000000000000
χ6288-8-800-4-44-444-442000000-22-2000000000000000000000000000000000000000
χ638-88-800-4-444-444-42000000-2-22000000000000000000000000000000000000000

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